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• catalog tableOfContents "Chapter 1: Primitive numerical data representation -- Chapter 2: Logical operations -- Chapter 3: Character strings -- Representation and manipulation -- Chapter 4: Character strings -- Applications -- Chapter 5: Introduction to data structures -- Chapter 6: Processing linearly linked lists -- Chapter 7: Multi-linked structures -- Chapter 8: Operations with tree structures -- Chapter 9: The program as an object for manipulation.".
• catalog tableOfContents "Introduction -- Estimates -- Asymptotic characteristics of the estimates -- Finite-sample calculations -- Properties -- A detailed analysis of the variances -- General discussion -- Appendices : Programs of the estimates ; Random number generations -- details ; Dual-criterion problems in estimation ; Integration formulas, more or less replacement for Monte Carlo ; Monte Carlo for contaminated Gaussians.".
• catalog tableOfContents "Typical models of programming -- The general principles of the theory of programming -- Marginal programming -- Linear programming -- Activity analysis -- Programming for multiple objectives -- Programming under uncertainty -- Dynamic programming of purchases and stocks under certainty -- Dynamic programming of purchases and stocks under uncertainty -- Dynamic programming of production under certainty -- Dynamic programming of production under uncertainty -- Programming under complete uncertainty.".
• catalog tableOfContents "Aims and means in time series analysis -- Fourier analysis -- Probability theory -- Introduction to statistical inference -- Introduction to time series analysis -- The spectrum -- Examples of univariate spectral analysis -- The cross correlation function and cross spectrum -- Estimation of cross spectra -- Estimation of frequency response functions -- Multivariate spectral analysis.".
• catalog tableOfContents "Data processing -- Introduction to probability and random variables -- Utility and descriptive statistics -- Uncertainty due to ignorance of the state of nature -- The computation of Bayes strategies -- Introduction to classical statistics -- Models -- Testing hypotheses -- Estimation and confidence intervals.".
• catalog tableOfContents "Introduction to data analysis -- Preliminary data analysis -- Regression and correlation analysis -- The analysis of variance -- Multivariate statistical methods -- Appendix I: Review of fundamental concepts -- Appendix II: Statistical tables.".
• catalog tableOfContents "v. 1. Series, integral calculus, theory of functions.--v. 2. Theory of functions, zeros, polynomials, determinants, number theory, geometry.".
• catalog tableOfContents "book 1. Algebra.--book 2. Functions and relations.--book 3. Analytic trigonometry.".
• catalog tableOfContents "v. 1. Metric and normed spaces. v. 2. Measure. The Lebesgue integral. Hilbert space.".
• catalog tableOfContents "v.1. Distribution theory. 2d ed. 1963. --v.3. Design and analysis, and time-series. 2d ed. 1968.".
• catalog tableOfContents "Static maximal flow -- Feasibility theorems and combinatorial applications -- Minimal cost flow problems -- Multi-terminal maximal flows.".
• catalog tableOfContents "Contiene: vol. 1.".
• catalog tableOfContents "Part One. Setting and Scope -- Philanthropy Under Fire -- The Apex of American Philanthropy -- Part Two. A Gallery of Portraits -- Carnegie: Emergence from Elitism -- The Formidable Rockefeller Fleet -- Coming of Age in the Ford Foundation -- Danforth and Kellogg: Fine but Flawed -- Surdna, Bush, Pew, and Irvine: Underachievers and Delinquents -- The Ducal Du Ponts -- Texas: Rich Land, Poor Land: Moody, Houston, Richardson, and Brown -- Lily, Hartford, and Duke: Birds in Gilded Cages -- Sloan, Kettering, and Mott: GM's Philanthropic Offspring -- The Middling Mellons -- Astor, Woodruff, Kresge, Waterman, and Kaiser: Philanthropy Family Syle -- Fleischmann and Commonwealth: Two Intriguing Aberrations, Land: A Gleam of Hope -- Part Three. Patterns, Processes, and Performance -- A Profile of Big Philanthropy -- Public Reporting: The Enclave Mentality -- The Determinant Internal Forces: Donors, Trustees, and Staff -- Big Philanthropy and the Race Question: A Case Study of Performance -- Part Four. Foundations in the American Context -- Government and Foundations: The Tightening Embrace of Regulation -- Government and Foundation Programs: The Endless, Ambiguous Interface -- Summation and Assessment -- Epilogue: A Note on the Prospects for Self-Reform and Self-Renewal.".
• catalog tableOfContents "Introduction -- Linear spaces -- Hilbert space -- Least-squares estimation -- Dual spaces -- Linear operators and adjoints -- Optimization of functionals -- Global theory of constrained optimization -- Local theory of constrained optimization -- Iterative methods of optimization.".
• catalog tableOfContents "Preliminaries: the elements of linear algebra -- The general theory of linear differential equations -- Equations with constant coefficients -- The Laplace transform -- Matrices and systems of linear equations -- Further topics in the theory of linear differential equations -- Series solutions of linear differential equations -- First-order differential equations -- Existence and uniqueness theorems -- Stability -- Appendix 1. Determinants.".
• catalog tableOfContents "Descartes -- Isaac Newton -- Laplace -- William Rowan Hamilton -- The strange life of Charles Babbage -- William Kingdon Clifford -- James Clerk Maxwell -- Srinivasa Ramanujan -- Nicolas Bourbaki -- The theory of numbers -- The curvature of space -- Topology -- The Koenigsberg Bridges -- Fixed-point theorems -- Probability -- Paradox -- Symbolic logic -- Non-Cantorian set theory -- Godel's Proof -- The use and misuse of Game Theory -- Linear programming -- Cybernetics.".
• catalog tableOfContents "Uniform approximation of functions by polynomials and rational functions -- Faber polynomials and problems of representing a regular function by a polynomial series -- Quadratic approximation. Functions orthogonal with respect to a domain -- Functions orthogonal with respect to a contour -- Questions related to the best uniform approximation.".
• catalog tableOfContents "An appreciation of Jan Hendrik Oort, by B. Strömgren.--Radio astronomical studies of the galactic system, by J.H. Oort.--Spiral structures in galaxies by C.C. Lin.-- Some recent results of X-ray astronomy, by B. Rossi.--The time scale for creation, by A. Sandage.".
• catalog tableOfContents "pt. I. The earth and its environment. 1. The earth's magnetic field / M. Sugiura and J.P. Heppner ; 2. The earth's atmosphere / I. Harris and N.W. Spencer -- 3. The ionosphere / A.C. Aikin and S.J. Bauer ; 4. The earth's radiation belt / Wilmot N. Hess ; 5. The aurora / T.N. Davis ; 6. Meteorology from space / W. Nordberg and S.I. Rasool ; 7. The shape of the earth / W.M. Kaula -- pt. II. Space. 8. The interplanetary medium / Norman F. Ness ; 9. The boundary of the magnetosphere / W.N. Hess and G.D. Mead ; 10. Cosmic rays / R.A. Palmeira and G.F. Pieper ; 11. Interplanetary dust particles / C.W. McCracken and W.M. Alexander ; 12. Cosmic chemistry / Bertram Donn ; 13. Orbital mechanics / P. Musen and R.K. Squires ; 14. Man in space / W.S. Cameron [and others] -- pt. III. The solar system and beyond. 15. Origin of the solar system / A.G.W. Cameron ; 16. The physics of the sun / John C. Brandt and Stephen P. Maran ; 17. The moon / John A. O'Keefe ; 18. Planetary atmospheres / R. Jastrow and S.I. Rasool ; 19. Planetary structure / A.G.W. Cameron ; 20. Space astronomy / Albert Boggess and C.E. Fichtel ; 21. Stellar evolution / Robert C. Cameron ; 22. Extragalactic radio sources / W. Priester and J. Rosenberg ; 23. Nucleosynthesis / J.W. Truran and A.G.W. Cameron.".
• catalog tableOfContents "Appendix. Paintings by Alvan Clark. pp. 113.".
• catalog tableOfContents "Introduction. pp. 1.".
• catalog tableOfContents "Part 1. Biographical Outline of Alvan Clark and His Sons. pp. 3.".
• catalog tableOfContents "Part 2. Catalog of Astronomical instruments made and remade by Alvan Clark & Sons, 1844-1897. pp. 39.".
• catalog tableOfContents "Part 1. October, 1966 -- Part 2. October, 1967.".
• catalog tableOfContents "v. 1, Book I: Algebraic preliminaries. -- Book II: Projective space. -- v. 2, Book III: General theory of algebraic varieties in projective space. -- Book IV: Quadrics and Grassmann varieties.".
• catalog tableOfContents "Hoover and Roosevelt meet in November -- Roosevelt wavers at the crossroads -- Roosevelt reaches a decision -- Interlude at Miami -- Recruiting a cabinet, I -- Recruiting a cabinet II -- The inaugural address -- The banks on the critical list -- The rough road to cooperation -- The unhappy holiday == Pre-planned and orthodox rescue -- Congress adopts the emergency plan -- Unfreezing the banks -- Economy on the Great Banking Crisis -- The themes, the plans and the improvisations -- Congress and the President -- The President's assistant -- Curbing agricultural anarchy: the AAA -- Curbing agricultural anarchy: 1933-1936 -- The federal almoner -- Work projects supplant relief -- Toward industrial self-government -- Off the gold standard -- Toward a responsible securities market -- Permanent baking reform -- The Tennessee Valley Authority -- The hundred days in retrospect -- In the administration -- In Congress -- Unofficial advisers -- Great expectations -- The debt stalemate -- Confused and demoralized negotiators -- My mission to London -- The short life and sudden death of a compromise -- Impotence and dissolution -- Reflections on the failure of the conference -- The virtue of resignation -- "Fresh woods and pastures new" -- Unofficial relations -- End of the First New Deal -- The decisive year.".
• catalog tableOfContents "The Plaza's plaza -- Triumphal arches -- Early Grand Central Terminals -- Grand Central skyline -- Pennsylvania Station -- Central Park as planned -- Scale of buildings to streets -- Broadway Tabernacle -- Niblo's Garden -- The German Winter Garden -- Atlantic Garden -- Garden at Madison Square -- Tammany Hall -- Restaurants -- Canfield's Gambling House -- Hotels -- Theaters -- Federal Hall -- Government House -- Fire and shot towers -- St. Luke's Hospital -- Tompkins Market Armory -- Castle Garden: the Aquarium -- The Assay Office -- Columbia's midtown campus -- Firehouse -- Cotton Exchange -- The produce exchange -- Jails -- City Hall Post Office -- Museum of Modern Art, Stage 1 -- Apthorpe Mansion -- Doric mansion -- Gothic villa -- Greek palace -- Prime House -- Brevoort House -- Half and Half House -- Wheelock House -- Fifth Avenue, north from 65th Street -- Vanderbilt houses -- A.T. Stewart House -- Mary Mason Jones House -- Senator Clark House -- Schwab House -- Brokaw mansions -- La Grange Terrace ("Colonnade Row") -- Underhill's colonnade buildings -- Houses with pitched roofs -- Houses with wooden porches -- London Terrace -- Rhinelander Gardens -- Mansarded Terrace -- Brownstones -- "Old-law tenements" -- Studio building -- Knickerbocker -- Old Brick Church -- Middle Dutch Church -- Madison Square Presbyterian Church -- Dr. Tyng's Church -- Temple Emanu-El, 43rd Street -- St. John's Chapel -- Train shed -- Double-decker bus -- Hudson ferries -- Subway entrances -- Western Union -- Bank of America -- Worth Street -- German Savings Bank -- Eccentric Mill Works -- Harper's, Franklin Square -- A.T. Stewart Store -- New York Herald Building -- Times Tower -- New York Telephone Company -- Chrysler Observation Lounge -- Black, Starr & Frost -- Lord & Taylor, Broadway -- 55 Wall Street -- Markets and shops.".
• catalog tableOfContents "Reader's background and purpose of book -- Vector and matrix norms -- Diagonal form of a matrix under orthogonal equivalence -- Proof of diagonal-form theorem -- Types of computational problems in linear algebra -- Types of matrices encountered impractical problems -- Sources of computational problems of linear algebra -- Condition of a linear system -- Gaussian elimination and LU decomposition -- Need for interchanging rows -- Scaling equations and unknowns -- The Crout and Doolittle variants -- Interative improvement -- Computing the determinant -- Nearly singular matrices -- Algol 60 program -- Fortran, extended Algol, and PL/1 programs -- Matrix inversion -- An example: Hilbert matrices -- Floating-point round-off analysis -- Rounding error in gaussian elimination -- Convergence of iterative improvement -- Positive definite matrices; band matrices -- Iterative methods for solving linear systems -- Nonlinear systems of equations.".
• catalog tableOfContents "Bibliografía e índice.".
• catalog tableOfContents "pt. I. Fields. Field extensions -- Ruler and compass constructions -- Foundations of Galois theory -- Normality and stability -- Splitting fields -- Radical extensions -- The trace and norm theorems -- Finite fields -- Simple extensions -- Cubic and quartic equations -- Separability -- Miscellaneous results on radical extensions -- Infinite algebraic extensions -- pt. II. Rings. The radical -- Primitive rings and the density theorem -- Semi-simple rings -- The Wedderburn principal theorem -- Theorems of Hopkins and Levitzki -- Primitive rings with minimal ideals and dual vector spaces -- Simple rings -- pt. III. Homological dimension. Dimension of modules -- Global dimension -- First theorem on change of rings -- Polynomial rings -- Second theorem on change of rings -- Third theorem on change of rings -- Localization -- Preliminary lemmas -- A regular ring has finite global dimension -- A local ring of finite global dimension is regular -- Injective modules -- The group of homomorphisms -- The vanishing of Ext -- Injective dimension.".
• catalog tableOfContents "pt. one: moons of rock and suns of fire : Out from the breathing earth -- Into the stomach of space -- Invitation to the moon -- Our sister planets -- Gadflies of the void -- Introduction to the sun -- The cousin stars -- The foreign galaxies -- pt. two: Fields in space, deeps of time : Stuff of the worlds -- The netherrealm of the atom -- Of waves and music -- Of light and color -- Of space, of time -- The sinews of reality.".
• catalog tableOfContents "Approximating irrational numbers by means of rational numbers -- Producing rectilinear motion by means of linkages -- Perfect numbers -- Euler's proof of the infinitude of the prime numbers -- Fundamental principles of maximum problems -- The figure of greatest area with a given perimeter -- Periodic decimal fractions -- A characteristic property of the cirlce -- Curves of constant breadth -- The indispensability of the compass for the constructions of elementary geometry -- A property of the number 30 -- An improved inequality.".
• catalog tableOfContents "The sequence of prime numbers -- Traversing nets of curves -- Some maximum problems -- Incommensurable segments and irrational numbers -- A minimum property of the Pedal Triangle -- A second proof of the same minimum property -- The theory of sets -- Some combinatorial problems -- On Waring's problem -- On closed self-intersecting curves -- Is the factorization of a number into prim factors unique? -- The four-color problem -- The regular polyhedrons -- Pythagorean numbers and Fermat's theorem -- The theorem of the arithmetic and geometric means -- The spanning circle of a finite set of points".
• catalog tableOfContents "Introduction -- pt. I. Existence theorems in dimension 1. The first existence theorem ; Sets and functions ; Neighborhoods and continuity ; Open sets and closed sets ; The completeness of the real number system ; Compactness ; Connectedness ; Topological properties and topological equivalences ; A fixed point theorem ; Mappings of a circle into a line ; The pancake problems ; Zeros of polynomials -- pt. II. Existence theorems in dimension 2. Mappings of a plane into itself ; The disk ; Initial attempts to formulate the main theorem ; Curves and closed curves ; Intuitive definition of winding number ; Statement of the main theorem ; When is an argument not a-proof? ; The angle swept out by a curve ; Partitioning a curve into short curves ; The winding number W ; Properties of A and W ; Homotopies of curves ; Constancy of the winding number ; Proof of the main theorem ; The circle winds once about each interior point ; The fixed point property ; Vector fields ; The equivalence of vector fields and mappings ; The index of a vector field around a closed curve ; The mappings of a sphere into a plane ; Dividing a ham sandwich ; Vector fields tangent to a sphere ; Complex numbers ; Every polynomial has a zero ; Epilogue: A brief glance at higher dimensional cases -- Solutions for exercises.".
• catalog tableOfContents "Several complex variables / H.J. Bremermann -- Nonlinear mappings between Banach spaces / Lawrence M. Graves -- What is a semi-group? / Einar Hille -- The Laplace transform, the Stieltjes transform and their generalizations / I.I. Hirschman, Jr., and D.V. Widder -- A brief introduction to the Lebesgue-Stieltjes integral / H.R. Schaefer -- Harmonic analysis / Guido Weiss -- Toeplitz matrices / Harold Widom.".
• catalog tableOfContents "Algebra in the eighteenth century --- Mathematics as of 1800 -- Functions of a complex variable -- Partial differential equations in the nineteenth century -- Ordinary differential equations in the nineteenth century -- The calculus of variations in the nineteenth century -- Galois theory-- Quaternions, vectors, and linear associative algebras -- Determinants and matrices -- The theory of numbers in the nineteenth century -- The revival of projective geometry -- Non-Euclidean geometry -- The differential geometry of Gauss and Riemann -- Projective and metric geometry -- Algebraic geometry -- The instillation of rigor in analysis -- The foundations of the real and transfinite numbers -- The foundations of geometry -- Mathematics as of 1900 -- The theory of functions of real variables -- Integral equations -- Functional analysis -- Divergent series -- Tensor analysis and differential geometry -- The emergence of abstract algebra -- The beginnings of topology -- ".
• catalog tableOfContents "Mathematics in Mesopotamia -- Egyptian mathematics -- The creation of classical Greek mathematics -- Euclid and Apollonius -- The Alexandrian Greek period : geometry and trigonometry -- The Alexandrian period : the reemergence of arithmetic and algebra -- The Greek rationalization of nature -- The demise of the Greek world -- The mathematics of the Hindus and Arabs -- The Medieval Period in Europe -- The Renaissance -- Mathematical contributions in the Renaissance -- Arithmetic and algebra in the sixteenth and seventeenth centuries -- The beginning of projective geometry -- Coordinate geometry -- The mathematization of science -- The creation of the calculus -- Mathematics as of 1700 -- Calculus in the eighteenth century -- Infinite series -- Ordinary differential equations in the eighteenth century -- Partial differential equations in the eighteenth century -- Analytic and differential geometry in the eighteenth century -- The calculus of variations in the eighteenth century -- ".
• catalog tableOfContents "The foundations of mathematics.".
• catalog tableOfContents "Vectors in R[superscript n] and C[superscript n] -- Linear equations -- Matrices -- Vector spaces and subspaces -- Basis and dimension -- Linear mappings -- Matrices and linear operators -- Determinants -- Eigenvalues and eigenvectors -- Canonical forms -- Linear functionals and dual space -- Bilinear, quadratic and hermitian forms -- Inner product spaces.".
• catalog tableOfContents "v.1. Science and civilization. The future of atomic energy.--v.2 Transportation, a measurement of civilization. Light, life and man.--v.3. A challenge to the world.".
• catalog tableOfContents "V.I. 1. A Glimpse into Hilbert space, P.R. Halmos. 2. Some applications to the theory of distributions, Laurent Schwartz. 3. Mumerical Analysis, A.S. Householder. 4. Algebraic topology, Samuel Eilenberg. 5. Lie algebras, Irving Kaplansky. 6. Representations of finite groups, Richard Brauer. -- v. II. 1. Partial differential equations with applications in geometry, L. Nirenberg. 2. Generators and relations in groups -- the Burnside problem, Marshall Hall, jr., 3. Some aspects of the topology of 3-manifolds related to the Poincaré, R.H. Bing. 4. Partial differential equations: problems and uniformization in Cauchy's problem, Lars Gårding. 5. Quasiconformal mappings and their applications, L. Ahlfors. 6. Differential topology, J. Milnor. -- v. III. 1. Topics in classical analysis, Einar Hille. 2. Geometry, H.S.M. Coxeter. 3. Mathematical logic, Georg Kreisel. 4. Some recent advances and current problems in number theory, Paul Erdös. 5. On stochastic processes, Michel Loève. 6. Random integrals of differential equations, J. Kampé de Fériet.".
• catalog tableOfContents "v. 1. Induction and analogy in mathematics.--v. 2. Patterns of plausible inference.".
• catalog tableOfContents "Vector spaces -- Linear transformations and matrices -- Systems of linear equations -- Determinants -- Equivalence relations and canonical forms -- Functions of vectors -- Orthogonal and unitary equivalence -- Structure of polynomial rings -- Equivalence of matrices over a ring -- Similarity of matrices -- Linear inequalities -- Appendix I. Mathematical induction -- Appendix II. Relations and mappings.".
• catalog tableOfContents "Introduction to algebra -- Machines -- Partitions and the substitution property -- Partition pairs and pair algebra -- Loop-free structure of machines -- State splitting -- Feedback and errors -- Semigroups and machines.".
• catalog tableOfContents "Chapter 1: Linear equations -- Chapter 2: Vector spaces -- Chapter 3: Linear transformations -- Chapter 4: Polynomials -- Chapter 5: Determinants -- Chapter 6: Invariant direct-sum decompositions -- Chapter 7: The rational and Jordan forms -- Chapter 8: Inner product spaces -- Chapter 9: Bilinear forms.".
• catalog tableOfContents "Contiene : Vol. I".
• catalog tableOfContents "The iceberg mathematics -- The hidden seeds -- Understanding mathematics -- The ideas of mathematics -- The numbers that are used often --- Estimating and its simple arithmetic -- The long reach of estimating -- Estimating, and being right -- Mathematics: Variables -- Formulas -- Functions and graphs -- Derivatives -- Integrals -- Equations -- Angles -- Logic: Properties and relations -- Statistics: Probability and frequency distributions -- Going from ordinary language into mathematics -- Kids of problems--and mathematics -- Computers and mathematics -- The "New Math" and mathematical education -- Predicting the future, and running risks -- The future and mathematics -- Appendices: A short introduction to algebra -- Studying by yourself.".
• catalog tableOfContents "The integers -- Rational numbers and fields -- Polynomials -- Real numbers -- Complex numbers -- Groups -- Vectors and vector spaces -- The algebra of matrices -- Linear groups -- Determinants and canonical forms -- Boolean algebras and lattices -- Transfinite arithmetic -- Rings and ideals -- Algebraic number fields -- Galois theory.".
• catalog tableOfContents "Algorithms -- Stored-program computers -- Basic programming techniques -- Compilers and monitors -- Fortran programs -- Fortran constants and variables -- Fortran expressions and assignment statements -- Fortran control statements -- Fortran input and output statements -- Fortran subprograms -- Program planning and debugging -- Numerical methods -- Nonnumerical applications -- Simulation -- Algorithms, automata, and languages.".
• catalog tableOfContents "General introduction -- Random sequences -- Processes in continuous time -- Miscellaneous statistical applications -- Limiting stochastic operations -- Stationary processes -- The statistical analysis of stochastic processes -- Correlation analysis of time-series.".
• catalog tableOfContents "The art of computation -- Matrices and linear equations -- Nonlinear equations and systems -- The proper values and vectors of a matrix -- Interpolation -- More general methods of approximation -- Numerical integration and differentiation -- The Monte Carlo method.".
• catalog tableOfContents "Green's formula and analytic continuation / S. Bochner -- Strongly elliptic systems of differential equations / F.E. Browder -- Derivatives of solutions of linear elliptic partial differential equations / F. John -- On multivalued solutions of linear partial differential equations / S. Bergman -- Function-theoretical properties of solutions of partial differential equations of elliptic type / L. Bers -- On a generalization of quasi-conformal mappings and its application to elliptic partial differential equations / L. Nirenberg -- Second order elliptic systems of differential equations / C.B. Morrey -- Conservation laws of certain systems of partial differential equations and associated mappings / C. Loewner -- Parabolic equations / P.D. Lax and A.N. Milgram -- Linear equations of parabolic type with constant coefficients / P.C. Rosenbloom -- On linear hyperbolic differential equations with variable coefficients on a vector space / J. Leray -- The initial value problem for non-linear hyperbolic equations in two independent variables / P.D. Lax -- A geometric treatment of linear hyperbolic equations of second order / A. Douglis -- On Cauchy's problem and fundamental solutions / J.B. Diaz -- A boundary value problem for the wave equation and mean value theorems / M.H. Protter.".
• catalog tableOfContents "Solid analytic geometry -- Vectors in three dimensions -- Elements of infinite series -- Partial differentiation -- Multiple integration -- Linear algebra -- Vector spaces -- Eigenvalue problems; complex vector spaces -- Advanced topics in infinite series -- Fourier series -- Implicit function theorems. Transformations -- Functions defined by integrals -- Vector field theory -- The theorems of Green and Stokes -- Some special types of differential equations -- Linear differential equations -- Series solutions of differential equations.".
• catalog tableOfContents "pt. I. Functions of a real variable -- 1. The real number system -- 2. Functions and limits -- 3. Differentiation -- 4. Riemann integration -- Sequences -- 6. Infinite series -- 7. Uniform convergence -- 8. Sets and measure on the real axis -- pt. II. Higher dimensions -- 9. Functions of two variables -- 10. Plane sets -- 11. Area -- 12. Metric and topological spaces -- 13. Function spaces.".
• catalog tableOfContents "pt. I. The discrete finite difference calculus -- 1. The difference calculus -- 2. Roundoff noise -- 3. The summation calculus -- 4. Evaluation of infinite series -- 5. Finite difference equations -- 6. The finite Fourier series -- pt. II. Polynomial approximation--classical numerical analysis -- 7. Introduction to polynomial approximations -- 8. Polynomial interpolation--arbitrarily spaced data -- 9. Polynomial interpolation--equally spaced data -- 10. A uniform method for finding formulas -- On finding the error term of a formula -- Formulas for definite integrals -- Indefinite integrals -- 14. Introduction to differential equations -- 15. Special methods of integrating ordinary differential equations -- 17. Least squares: theory -- 18. Least squares: practice -- 19. Chebyshev polynomials -- 20. Rational functions -- pt. III. Nonpolynomial approximation -- 21. Periodic functions--Fourier approximation -- 22. The convergence of Fourier series -- 23. Nonperiodic functions--The Fourier integral -- 24. Linear filters--smoothing and differentiating -- 25. Integrals and differential equations -- 26. Exponential approximation -- 27. Singularities -- pt. IV. Algorithms and heuristics -- 28. On finding zeros -- 29. Simultaneous linear algebraic equations -- 30. Inversion of matrices and eigenvalues -- 31. Some examples of the simulation of situations and processes -- 32. Random numbers and Monte Carlo methods -- Chapter N. The art of computing for scientists and engineers.".
• catalog tableOfContents "pt. 1. Elements of the general theory of analytic functions.--pt. 2. Applications and continuation of the general theory.".
• catalog tableOfContents "pt. I. Lie groups and their lie algebras. Manifolds -- Lie groups: local and global properties -- The lie algebra -- The exponential function -- The Campbell-Baker-Hausdorff theorem -- Subgroups and sub-algebras -- Important examples--the classical matrix groups -- pt. II. Complex semi-simple lie algebras. Basics -- Cartan's criterion -- Structure of simple complex algebras -- Models of the simple complex algebras -- Isomorphisms and automorphisms -- Representations of complex semi-simple algebras -- The radical splitting theorem. Existence of lie groups with a given lie algebra -- pt. III. Real semi-simple lie algebras. Structure and representations of simple real algebras -- Compact connected lie groups.".
• catalog tableOfContents "Single server queueing processes -- Many server queueing processes -- Queues with infinitely many servers -- Telephone traffic processes -- A process of servicing machines -- A process of particle counting.".
• catalog tableOfContents "Finite systems -- Distributions and waves -- Parabolic equations and Fourier integrals -- Laplace's equation and complex variables -- Equations of motion -- General theory of eigenvalues and eigenfunctions -- Green's functions -- Cylindrical eigenfunctions -- Spherical eigenfunctions -- Wave propagation in space.".
• catalog tableOfContents "Basic ideas -- Equations of first order and first degree -- Properties of solutions of the linear equation of first order -- Linear equations of arbitrary order -- Properties of solutions of linear differential equations -- Simultaneous linear differential equations -- Application of mattrices to simultaneous linear differential equations -- Equations not of first degree -- Solutions in terms of power series -- Numerical methods -- Phase-plane analysis -- Fundamental theory.".
• catalog tableOfContents "Typical problems of the calculus of variations -- Shortest distances -- The brachistochrone problem -- Surfaces of revolution of minimum area -- A more general theory.".
• catalog tableOfContents "Infinite series, products, and integrals -- Analytic functions -- Residues, contour integration, zeros -- Analytic continuation -- The maximum-modulus theorem -- Conformal representation -- Power series with a finite radius of convergence -- Integral functions -- Dirichlet series -- The theory of measure and the Lebesgue integral -- Differentiation and integration -- Further theorems on Lebesgue integration -- Fourier series.".
• catalog tableOfContents "Simple random sampling -- Sampling for proportions and percentages -- The estimation of sample size -- Stratified random sampling -- Further aspects of stratified sampling -- Ratio estimates -- Regression estimates -- Systematic sampling -- One-stage cluster sampling -- Subsampling with units of equal size -- Subsampling with units of unequal size -- Double sampling -- Sources of error in surveys.".
• catalog tableOfContents "Ordinary differential equations -- Infinite series -- Evaluation of integrals -- Integral transforms -- Further applications of complex variables -- Vectors and matrices -- Special functions -- Partial differential equations -- Eigenfunctions, eigenvalues, and Green's functions -- Perturbation theory -- Integral equations -- Calculus of variations -- Numerical methods -- Probability and statistics -- Tensor analysis and differential geometry -- Introduction to groups and group representations -- Appendix: Some properties of functions of a complex variable.".
• catalog tableOfContents "Preliminaries -- Distribution functions -- Mean values and moments of random variables -- Sequences of random variables -- Characteristic functions and generating functions -- Some special discrete distributions -- Some special continuous distributions -- Sampling theory -- Asymptotic sampling theory for large samples -- Linear statistical estimation -- Nonparametric statistical estimation -- Parametric statistical estimation -- Test parametric statistical hypotheses -- Testing nonparametric statistical hypotheses -- Sequential statistical analysis -- Statistical decision functions -- Time series -- Multivariate statistical theory.".
• catalog tableOfContents "v. 1. Properties and operations, by I. M. Gelʹfand and G. E. Shilov, translated by E. Saletan. --v. 3. Theory of differential equations, by I. M. Gelʹfand and G. E. Shilov.--v. 4. Applications of harmonic analysis, by I. M. Gelʹfand and N. Y. Vilenkin.--v. 5. Integral geometry and representation theory, by I. M. Gelʹfand, M. I. Graev, and N. Ya. Vilenkin.".
• catalog tableOfContents "pt. A. Introduction to probability theory. [Sigma]-fields and random variables -- Probability laws and mathematical expectations -- Complements to measure theory -- Stochastic processes -- pt. B. Martingale theory. Generalities and the discrete case -- Continuous parameter martingales -- Generation of supermartingales -- Applications of Martingale theory -- pt. C. Analytic tools of potential theory. Kernels and resolvents -- Construction of resolvents and semigroups -- Convex cones and extremal elements.".
• catalog tableOfContents "Beam columns -- Elastic bucklings of bars and frames -- Inelastic buckling of bars -- Experiments and design formulas 00 Torsional buckling -- Lateral buckling of beams -- Buckling of rings, curved bars, and arches -- Bending of thin plates -- Buckling of thin plates -- Bending of thin shells -- Buckling of shells.".
• catalog tableOfContents "Vector analysis -- The displacement and motion of a rigid body -- Dynamics -- The dynamics of a particle; harmonic vibrations -- Problems of nonrectilinear motion of a particle -- Central forces; Newton's law of universal gravitation -- The dynamics of a system of material particles -- Impulsive forces -- The motion of a rigid body about a fixed point -- Gyroscopic theory -- General dynamical theorems -- Vibrations about a position of equilibrium -- The principle of least action -- Nonholonomic systems; the principle of least constraint -- General methods of integration; Poisson brackets -- The potential function -- Wave motion -- The Lorentz-Einstein transformation; tensors -- Physical dimensions.".
• catalog tableOfContents "Kinematics of particles -- The laws of motion -- Conservative systems with one degree of freedom -- Two-particle systems -- Time-dependent forces and nonconservative motion -- Lagrange's equations of motion -- Applications of Lagrange's equations -- Small oscillations -- Rigid bodies -- Hamiltonian theory -- The Hamilton-Jacobi method -- Infinitesimal contact transformation -- Further development of transformation theory -- Special applications -- Continuous media and fields -- Introduction to special relativity theory -- The orbits of particles in high energy accelerators -- Appendix I. Riemannian geometry -- Appendix II. Linear vector spaces -- Appendix III. Group theory and molecular vibrations -- Appendix IV. Quaternions and Pauli spin matrices.".
• catalog tableOfContents "Notation and prerequisites -- Convex sets -- Polytopes -- Examples -- Fundamental properties and constructions -- Polytopes with few vertices -- Neighborly polytopes -- Euler's relation -- Analogues of Euler's relation -- Extremal problems concerning numbers of faces -- Properties of boundary complexes -- k-equivalence of polytopes -- 3-polytopes -- Angle-sums relations; the Steiner point -- Addition and decomposition of polytopes -- Diameters of polytopes -- Long paths and circuits on polytopes -- Arrangements of hyperplanes -- Concluding remarks.".
• catalog tableOfContents "pt. I. Topology. Sets and functions -- Metric spaces -- Topological spaces -- Compactness -- Separation -- Connectedness -- Approximation -- pt. II. Operators. Algebraic systems -- Banach spaces -- Hilbert spaces -- Finite-dimensional spectral theory -- pt. III. Algebras of operators. General preliminaries on Banach algebras -- The structure of commutative Banach algebras -- Some special commutative Banach algebras -- Appendices: 1. Fixed point theorems and some applications to analysis -- 2. Continuous curves and the Hahn-Mazurkiewicz theorem -- 3. Boolean algebras, Boolean rings, and Stone's theorem.".
• catalog tableOfContents "Part I: General theory -- 1. Elements of the current theory of testing statistical hypotheses -- 2. Sequential test of a statistical hypothesis: general discussion -- 3. The sequential probability ratio test for testing a simple hypotheses H₀ against a single alternative H₁ -- 4. Outline of a theory of sequential tests of simple and composite hypotheses against a set of alternatives -- Part II: Application of the general theory to special cases -- 5. Testing the mean of a binomial distribution (acceptance inspection of a lot where each unit is classified into one of two categories) -- 6. Testing the difference between the means of two binomial distributions (double dichotomies) -- 7. Testing that the mean of a normal distribution with known standard deviation falls short of a given value -- 8. Testing that the standard deviation of a normal distribution does not exceed a given value -- 9. Testing that the mean of a normal distribution with known variance is equal to a specified value -- Part III: The problem of multi-valued decisions and estimation -- 10. The choice of a hypothesis from a set of mutually exclusive hypotheses (multi-valued decision) -- 11. The problem of sequential estimation.".
• catalog tableOfContents "Professor Lefschetz's contributions to algebraic geometry: an appreciation / by W.V.D. Hodge -- The work and influence of Professor S. Lefschetz in algebraic topology / by Norman E. Steenrod -- Bibliography of the publications of S. Lefschetz -- On the complex structures of a class of simply-connected manifolds / by Aldo Andreotti -- On Kähler manifolds with vanishing canonical class / by Eugenio Calabi -- Quotient d'un espace analytique par un groupe d'automorphismes / par Henri Cartan -- On a generalization of Kähler geometry / by Shing-shen Chern -- On the projective embedding of homogeneous varieties / by Wei-Liang Chow -- Various classes of harmonic forms / by G.F.D. Duff -- On the variation of almost-complex structure / by K. Kodaira and D.C. Spencer -- Commutative algebraic group varieties / by Maxwell Rosenlicht -- On the symbol of virtual intersection of algebraic varieties / by Francesco Severi -- Integral closure of modules and complete linear systems / by Ernst Snapper -- On the projective embedding of Abelian varieties / by André Weil -- The connectedness theorem for birational transformations / by Oscar Zariski -- The relations on Steenrod powers of cohomology classes / by José Adem -- Imbedding of metric complexes / by C.H. Dowker -- Covering spaces with singularities / by Ralph H. Fox -- A relation between degree and linking numbers / by F.B. Fuller -- Die Coinzidenz-Cozyklen und eine Formel aus der Fasertheorie / von H. Hopf -- Isotopy of links / by John Milnor -- Generators and relations in a complex / by P.A. Smith -- The theory of carriers and S-theory / by E.H. Spanier and J.H.C. Whitehead -- The Jacobi identity for Whitehead products / by Hiroshi Uehara and W.S. Massey -- Some mapping theorems with applications to non-locally connected spaces / by R.L. Wilder -- Intercept-finite cell complexes / by S. Wylie.".
• catalog tableOfContents "Some point set topology -- More point set topology -- Fundamental group and covering spaces -- Simplicial complexes -- Manifolds -- Homology theory and the De Rham theory -- Intrinsic Riemannian geometry of surfaces -- Imbedded manifolds in R³.".
• catalog tableOfContents "v. 1. Statics.--v.2. Dynamics.".
• catalog tableOfContents "pt. I. Plane mechanics. Foundations of mechanics -- Methods of plane statics -- Applications in plane statics -- Plane kinematics -- Methods of plane dynamics -- Applications in plane dynamics: motion of a particle -- Applications in plane dynamics: motion of a rigid body and of a system -- Plane impulsive motion -- pt. II. Mechanics in space. Products of vectors -- Statics in space -- Kinematics. Kinetic energy and angular momentum -- Methods of dynamics in space -- Applications in dynamics in space: motion of a particle -- Applications in dynamics in space: motion of a rigid body -- pt. III. General methods and relativity. The equations of Lagrange and Hamilton -- Hamiltonian methods -- Theory of vibration -- The special theory of relativity.".
• catalog tableOfContents ".-t.1. Documents-Médailles Fields. Conférences générales (G). Logique (A)-Algèbre (B).-t.2.Géometrie et topologie (C). Analyse (D).-t.3.Mathématiques appliquées (E). Histoire et enseignement (F).".
• catalog tableOfContents "v. 1. Euclidean and affine transformations.--v. 2. Projective transformations.".
• catalog tableOfContents "The discovery of space-time. The irreversibility of time. The reality of the contraction of lengths and the lengthening of durations. The paradoxes associated with space-time and the trip to the star. pt. 3. The general theory of relativity Potentials and forces. The postulate of equivalence. The inclusion of gravitation in the model of space-time. Tensors and the laws of nature. The principle of general covariance, or the general principle of relativity. The discovery of the Einsteinian law of gravitation. The general laws of motion. The verification of Einstein's law. The separation of space-time into space and time in a gravitational field. The principles of conservation. Other aspects of the gravitational equations. The finiteness of the universe. The importance of space-time, and the principle of action. The mystery of matter. The theories of Weyl and Eddington.".
• catalog tableOfContents "pt. 1. Pre-relativity physics Manifolds. The birth of metrical geometry. Riemann's discoveries and congruence. The problem of physical space. An alternative view of non-Euclidean geometries. Time. Systems of co-ordinates and distance. The meaning of the word relativity. The principles of relativity. Classical mechanics and the Newtonian principle of relativity. The ether. The equations of electromagnetics and Lorentz's theory. pt. 2. The special theory of relativity Einstein's special theory of relativity. Relativistic mechanics. Consequences of the new space and time measurements-simultaneity. Practical congruence in relativity. The mathematical expression of Einstein's fundamental premises.".
• catalog tableOfContents "pt. 4. The methodology of science The methodology of science. The general significance of the theory of relativity. Appendix The space and time graphs.".
• catalog tableOfContents "The point -- The straight line -- Equation and locus -- The circle -- Other second degree curves -- Other types of curves in rectangular coordinates -- Parametric equations -- Polar equations -- Points, planes, and lines -- Surfaces and curves.".
• catalog tableOfContents "Introduction -- Some concepts and definitions of linear algebra -- The solution of the general problem of linear programming by the simplex method -- The solution of the transportation problem with respect to cost by the combinatorial method -- The solution of the transportation problem with respect to time -- Appendix.".
• catalog tableOfContents "The elemental concepts of mechanics -- Rectilinear motion of a particle -- Curvilinear motion in a plane -- Energy in particle dynamics -- Statics of a particle -- Motion of a system of particles -- Kinetic theory of gases and statistical mechanics -- Mechanics of a rigid body -- Constrained motion -- Oscillations -- Deformable bodies and wave motion -- Mechanics of fluids -- Advanced mechanics -- Relativistic mechanics -- Wave and quantum mechanics.".
• catalog tableOfContents "Introduction -- Addition in a finite number system -- Addition modulo m -- An application -- Closed subsets -- Multiplication in a finite number system -- Multiplication modulo m -- Classifications of numbers -- Operations with congruences -- Solution of congruences -- Congruences and finite number systems -- Tests for divisibility -- Repeating decimals -- Subgroups -- Linear Diophantine equations -- Finite fields -- League scheduling.".
• catalog tableOfContents "List structures -- WISP -- Basic programming techniques -- A simple functional list processor -- LISP -- More complex list structures -- Strings -- Pattern matching -- Implementation techniques -- Appendices -- A: Stage2 -- B: WISP implementation -- C: The help compiler/interpreter.".
• catalog tableOfContents "v. 1. Mathematical techniques and various applications -- v. 2. Mathematical ideas, modeling, and applications.".
• catalog tableOfContents "Elementary theory of probability -- Infinite probability fields -- Random variables -- Mathematical expectations -- Conditional probabilities and mathematical expectations -- Independence; the law of large numbers -- Appendix: Zero-or-one law in the theory of probability.".
• catalog tableOfContents "Reporting and analyzing uncertainty -- Units and dimensions -- Graphs -- The simple functions of applied math -- Statistics -- Quadratic and higher power equations -- Simultaneous equations -- Determinants -- Geometry -- Vectors -- Complex numbers -- Calculus-Differentiation -- Integration -- Series and approximations -- Some common differential equations -- Differential operators -- Appendices -- Index.".
• catalog tableOfContents "Review of basic terminology -- Introduction to common curves -- Limits and the derivative -- Differentiation of algebraic functions -- Role of infinity in limits -- First applications of derivatives -- Differentials and parametric form -- Mean value theorem -- Introduction to definite integrals -- Differentiation of transcendental functions -- Fundamentals of integration -- Advanced topics in plane analytic geometry -- Derivatives, with polar coordinates -- Applications of definite integrals -- Advanced integration -- Length of arc and applications -- Vectors and direction cosines -- Solid analytic geometry -- Introduction to partial differentiation -- Double integrals -- Moments in a plane -- Triple integrals -- Infinite series -- Expansion of functions -- Advanced partial differentiation -- Envelopes, space curves, and surfaces -- Applications of partial derivatives -- Hyperbolic functions -- Differential equations.".
• catalog tableOfContents "Greek Hunches -- Medieval Groupings -- Copernican Silence -- Galilean Myopia -- Newtonian Distraction -- Wright's Wrong -- The Silent Breakthrough -- Myth of One Island -- Beacon from Andromeda.".
• catalog tableOfContents "I. The gamma function and related functions -- II. The hypergeometric function -- III. Bessel functions -- IV. Legendre functions -- V. Orthogonal polynomials -- VI. Kummer's function -- VII. Whittaker function -- VIII. Parabolic cylinder functions and parabolic functions -- IX. The incomplete gamma function and special cases -- X. Elliptic integrals, theta functions and elliptic functions -- XI. Integral transforms -- XII. Transformation of systems of coordinates -- List of special symbols -- List of functions.".
• catalog tableOfContents "1. Calcul différentiel dans les espaces de Banach. -2. Équations différentielles.".
• catalog tableOfContents "t. 1. Théorie des topos (Exposés I à IV).--t. 2. Exposés V à VIII.--t. 3 Exposés IX à XIX.".
• catalog tableOfContents "Euclidean space and linear mappings -- Multivariable differential calculus -- Successive approximations and implicit functions -- Multiple integrals -- Line and surface integrals; differential forms and Stokes' theorem -- The calculus of variations -- App.: The completeness of R.".
• catalog tableOfContents "Sets, relations, and functions -- Numbers -- Sequences -- Series -- Functions of a real variable -- The derivative -- Some important functions and expansions -- The Riemann integral.".
• catalog tableOfContents "Introduction -- Historical: stones from the sky -- Astronomical -- Meteorite flight, falls, and impacts -- The morphology of meteorites -- The classification of meteorites -- The ratio of falls to finds of various types of meteorites: geographical statistics -- The mineralogy of meteorites -- The iron meteorites -- The stony-iron meteorites -- The stony meteorites -- The physical properties and chemistry of meteorites -- Brecciation in meteorites -- Carbonaceous chondrites: primitive or degraded? -- The nature and origin of chondrules -- The metamorphism of meteorites -- Organic matter in meteorites and possible primitive life forms -- Meteorite ages and isotopic studies -- The origin of meteorites -- Possible meteoritic origin of large cryptic craters and crypto-explosion structures -- Tektites: nature and occurrence -- The theories of origin of Tektites -- The moon, Mars, and meteorites.".
• catalog tableOfContents "Vol. [2] includes index.".
• catalog tableOfContents "v. 1. Generalities.--v. [2] Generalities. The SETL language and examples of its use.".

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