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catalog abstract "Presents nearly three thousand quotations from the history of mathematics, arranged in thirty-eight categories including the God hypothesis, the origins of mathematics, mathematical people, and philosophy.".
catalog contributor b12678590.
catalog created "c2002.".
catalog date "2002".
catalog date "c2002.".
catalog dateCopyrighted "c2002.".
catalog description "Acknowledgments -- Preface -- [pt]. 1. The God hypothesis, religion and mathematics -- 1. In the beginning : God the creator -- 2. The mathematical nature of God -- 3. Discovering God's thoughts -- 4. Mathematical evidence of the existence of God -- 5. God's universe -- playing dice or order and harmony? -- 6. Religion, theology and mathematics -- [pt]. 2. The nature of mathematics 1 -- 1. What is mathematics? -- 2. The essence of mathematics -- 3. Characteristics of mathematics -- 4. Mathematics is ... -- 5. Mathematics as an intellectual activity -- 6. Analogies of mathematics -- 7. Mathematics as a tool -- 8. The misunderstanding of the nature of mathematics -- 9. Other views of the nature of mathematics -- 10. Mathematics as art -- 11. mathematics as a game -- 12. Mathematics as language.".
catalog description "Includes bibliographical references (p. 265-295) and indexes.".
catalog description "Presents nearly three thousand quotations from the history of mathematics, arranged in thirty-eight categories including the God hypothesis, the origins of mathematics, mathematical people, and philosophy.".
catalog description "[pt. 33]. Geometry 2 -- 1. Pythagorean theorem -- 2. Flatland -- 3. Dimensions and dimension theory -- 4. Analytic or analytical geometry -- 5. Algebraic geometry -- 6. Differential geometry -- 7. Distance -- metric geometry -- 8. Parallel lines and the parallel postulate -- 9. Non-Euclidean geometry -- 10. Projection -- 11. Projective geometry -- 12. Duality -- 13. Modern geometry -- 14. Chaos -- 15. Fractal geometry -- [pt]. 24. Topology and graph theory -- 1. Origins of analysis situs [topology] -- 2. The nature of topology -- 3. Rubber sheet geometry -- 4. Set-theoretic topology -- 5. Topology, algebra and algebraic topology -- 6. Königsberg bridge problem -- 7. Graph theory -- 8. The Moebius strop -- 9. The Klein bottle -- 10. Four color problem -- 11. Knot theory.".
catalog description "[pt]. 13. Teaching and learning mathematics -- 1. The importance of examples -- 2. Learning and mathematics -- 3. Lectures and lecturing -- 4. Clarity in teaching and learning mathematics -- 5. On writing mathematics -- 6. Reading and mathematics -- 7. The study of mathematics -- 8. Teaching and mathematics -- 9. Professors, universities and mathematics -- [pt]. 14. The nature of infinity -- 1. Understanding infinity -- 2. The infinite and the finite -- 3. Numbers and infinity -- 4. The infinitely large : the infinitely small -- 5. Fear and loathing of infinity -- 6. Theories of infinity -- 7. Nature and infinity -- 8. Infinity is ... definitions, sort of -- [pt]. 15. Pure mathematics and applied mathematics -- 1. Applied mathematics and mathematicians -- 2. Pure mathematics and mathematicians -- 3. Differences between pure and applied mathematics -- 4. Partnership of pure and applied mathematics -- 5. Uses and usefulness of mathematics -- 6. Values of mathematics.".
catalog description "[pt]. 16. Mathematicians -- 1. Mathematicians on mathematicians -- 2. Non-mathematicians on mathematicians -- 3. Women an mathematics -- [pt]. 17. Some mathematical people 1 -- 1. Niels Abel -- 2. maria Gaetana Agnesi -- 3. Ibn Musa al-Khowarizmi -- 4. Apollonius of Perga -- 5. Archimedes of Syracuse -- 6. Charles Babbage -- 7. Daniel Bernoulli -- 8. Jacob Bernoulli -- 9. Johann Bernoulli -- 10. George David Birkhoff -- 11. Ralph Boas, Jr. -- 12. Janos Bolyai -- 13. Bernard Bolzano -- 14. George Boole -- 15. "Nicolas Bourbaki" -- 16. Georg Cantor -- 17. Girolamo Cardano -- 18. :Lewis Carroll" -- Charles Lutwidge Dodgson -- 19. Augustin-Louis Cauchy -- 20. Arthur Cayley -- 21. Emilie de Breteuil, Marquise du Chatelet -- 22. William Kingdon Clifford -- 23. Nicolaus Copernicus -- 24. Jean Le Rond d'Alembert -- 25. Julius Wilhelm Richard Dedekind -- 26. Rene Descartes -- 27. Diophantus -- 28. Paul Erdos -- 29. Euclid -- 30. Leonhard Euler.".
catalog description "[pt]. 18. Some mathematical people 2 -- 1. Pierre Fermat -- 2. Joseph Fourier -- 3. Gottlob Frege -- 4. Galileo Galilei -- 5. Evariste Galois -- 6. Carl Friedrich Gauss -- 7. Sophie Germain -- 8. Kurt Goedel -- 9. John Graunt -- 10. Sir William Rowan Hamilton -- 11. Godfrey H. Hardy -- 12. Hermann von Helmholtz -- 13. Charles Hermite -- 14. David Hilbert -- 15. Hipparchus of Rhodes -- 16. Christiaan Huygens -- 17. Hypatia -- 18. Johannes Kepler -- 19. Omar Khayyam -- 20. Felix Klein -- 21. Sonja Sophie Kovalevsky -- 22. Leopold Kronecker -- 23. Joseph-Louis Lagrange -- 24. Imre Lakatos -- 25. Pierre-Simon de Laplace -- 26. Henri Lebesque -- 27. Solomon Lefschetz -- 28. Adrien-Marie Legendre -- 29. Gottfried Wilhelm von Leibniz -- 30. Marius Sophus Lie -- 31. John Edensor Littlewood -- 32. Nikolai Lobachevski -- 33. Gosta Magnus Mittag-Leffler -- 34. Gaspard Monge -- 35. John Napier.".
catalog description "[pt]. 19. Some mathematical people 3 -- 1. Sir Isaac Newton -- 2. Emmy Noether -- 3. Pappus -- 4. Blaise Pascal -- 5. Benjamin Peirce -- 6. Charles Sanders Peirce -- 7. Jules Henri Poincare -- 8. George Polya -- 9. Ptolemy -- 10. Pythagoras and the Pythagoreans -- 11. Srinivasa Ramanujan -- 12. Robert Recorde -- 13. George Friedrich Bernhard Riemannn -- 14. Lord Bertrand Russell -- 15. Takakazu Seki (Kowa) -- 16. Mary Somerville -- 17. Hugo Steinhaus -- 18. James Joseph Sylvester -- 19. Thales -- 20. Alan Turing -- 21. Stanislaw Ulam -- 22. John Von Neumann -- 23. Karl Weierstrass -- 24. Alfred North Whitehead -- 25. Norbert Wiener -- 26. Christopher Wren -- 27. Zeno of Elea -- [pt]. 20. Problems and problem solving -- 1. The three problems of antiquity -- 2. Fermat's last theorem -- 3. Other mathematical problems -- 4. Posing mathematical problems and questions -- 5. Complicated and unsolved problems -- 6. Solving problems -- 7. Learning and teaching problem solving -- 8. Puzzles.".
catalog description "[pt]. 21. Mathematics and nature -- 1. Nature interpreted by mathematics -- 2. Laws of mathematics -- 3. Laws of motion -- 4. Laws of nature -- [pt]. 22. Philosophy, mathematics, truth and certainty -- 1. Philosophy and mathematics -- 2. Philosophy of mathematics -- 3. Metaphysics and metamathematics -- 4. The nature of mathematical truth -- 5. The certainty of mathematics -- [pt]. 23. Logic and foundations -- 1. The nature of logic -- 2. Symbolic logic -- 3. Logic and mathematics -- 4. Common sense -- 5. Postulates, axioms and the axiomatic method -- 6. The possible and the impossible -- 7. Contradictions and paradoxes -- 8. Syllogisms and validity -- 9. Foundations of mathematics -- [pt]. 24. Proof and mathematics -- 1. Mathematical arguments -- 2. Mathematical demonstrations -- 3. Cause and effect -- 4. The role of assumptions in mathematics -- 5. That which is obvious -- 6. The nature of proof -- 7. Mathematical proofs -- 8. Rigor in mathematical proofs -- 9. Elegant mathematical proofs -- 10. mathematical propositions and theorems.".
catalog description "[pt]. 25. Sets, relations and functions -- 1. Sets and set theory -- 2. Equality and equivalence -- 3. Mathematical relations -- 4. Functions and function theory -- 5. Special functions -- [pt]. 26. Space : real and idealized -- 1. Real and mathematical space -- 2. Curvature of space -- 3. The universe -- 4. The world -- [pt]. 27. Numbers : the heart of mathematics -- 1. The nature and development of numbers -- 2. Number in verse -- 3. The notion of quantity -- 4. Cardinal and ordinal numbers -- 5. Counting -- 6. Whole numbers -- natural numbers -- 7. Fractions -- 8. Negative numbers -- 9. Integers -- 10. Irrational numbers -- 11. Zero.".
catalog description "[pt]. 28. Numbers and number theory -- 1. Even and odd numbers -- 2. Real and rational numbers -- 3. Imaginary numbers -- 4. Complex numbers -- 5. Algebraic and transcendental numbers -- 6. "e" -- 7. "pi" -- 8. Quaternions -- 9. Transfinite numbers -- 10. Number theory -- 11. Continued fractions -- 12. Divisibility -- 13. Perfect numbers -- 14. Prime numbers -- 15. Magic squares -- 16. Bistromathics -- [pt]. 29. Arithmetic -- 1. The nature of arithmetic -- 2. The fundamental operations of arithmetic -- 3. Calculation and computation -- 4. Logarithms -- [pt]. 30. Algebra and trigonometry -- 1. Elementary algebra -- 2. Exponents -- 3. Formulas -- 4. Unknowns and variables -- 5. Equations and their solutions -- 6. Fundamental theorem of algebra -- 7. Trigonometry -- 8. Abstract algebra -- 9. Linear algebra -- 10. Groups and group theory -- 11. Transformation groups -- 12. Invariants of groups.".
catalog description "[pt]. 3. The nature of mathematics 2 -- 1. Mathematics as science -- 2. Appreciation for mathematics -- 3. Aptitude for mathematics -- 4. The attraction of mathematics -- 5. Ignorance of mathematics -- 6. Mathematics and the imagination -- 7. Mathematical ideals and idealization -- [pt]. 4. The development of mathematics 1 -- 1. Growth of new mathematical ideas -- 2. The process of mathematical development -- 3. Mathematical thinking -- 4. Intuition -- 5. Experiments and empiricism -- 6. Induction -- 7. Deduction -- [pt]. 5. The development of mathematics 2 -- 1. Definitions -- 2. Hypothesis in mathematics -- 3. Mathematical analogies -- 4. Abstraction -- 5. General principles and generalizations -- 6. Revolutions in mathematics -- 7. Modern mathematics.".
catalog description "[pt]. 31. The art of measurement -- 1. Measure and measurement -- 2. Measurement and mathematics -- 3. Weights and measures -- 4. The measurable and the unmeasurable -- 5. Measurement inverse -- 6. Length, area and volume -- 7. Measuring devices and techniques -- 8. Approximations -- 9. Longitude and latitude -- 10. The metric system -- 11. Time -- [pt]. 32. Geometry 1 -- 1. The history of geometry -- 2. The science of geometry -- 3. Geometry and art -- 4. Points, lines and planes -- 5. Commensurability -- 6. Curves -- 7. Size and shapes -- 8. Geometric constructions -- 9. Angles and triangles -- 10. Polygons and polyhedrons -- 11. Circles -- 12. The other conic sections -- 13. Spheres -- 14. Solid geometry.".
catalog description "[pt]. 35. Analysis and calculus -- 1. Analytical methods in mathematics -- 2. Calculus of variations -- 3. Continuity -- 4. Infinitesimals -- 5. The limit concept -- 6. The calculus -- 7. Derivatives and differentiation -- 8. Maximum and minimum values -- 9. Mean value theorem -- 10. Integrals and integration -- 11. Series -- 12. Differential equations -- [pt]. 36. Computers, algorithms and mathematical models -- 1. The history and development of computers -- 2. Computers and mathematics -- 3. Humans and machines -- 4. Miscellaneous views of computers -- 5. Cybernetics -- 6. Combinatorics and combinatorial analysis -- 7. Algorithms -- 8. Linear programming -- 9. Operations research -- 10. Mathematical models.".
catalog description "[pt]. 37. The theory of probability -- 1. Calculating probabilities -- 2. Probability, ignorance and certainty -- 3. Miscellaneous views of probability -- 4. Chance -- 5. Gambling -- 6. Permutations and combinations -- 7. Discrete mathematics -- 8. Making predictions -- [pt]. 38. Statistics and statisticians -- 1. Statisticans -- 2. The science of statistics -- 3. Statistics and lies -- 4. Miscellaneous views on statistics -- 5. Samples and sampling -- 6. Data -- 7. Average values -- 8. Decison-making -- Bibliography -- Author index -- Keyword index.".
catalog description "[pt]. 6. The Historical origins of mathematics -- 1. History of mathematics -- 2. Oriental mathematics -- 3. Egyptian mathematics -- 4. Sumerian and Babylonian mathematics -- 5. Chinese mathematics -- 6. Japanese mathematics -- 7. Mayan mathematics -- 8. Greek mathematics -- 9. Roman mathematics -- 10. Hindu mathematics -- 11. Arabic mathematics -- 12. Hindu-Arabic numerals -- 13. Decimal system of numeration -- 14. The rebirth of mathematics in the West -- [pt]. 7. Language, e linguistics and mathematics -- 1. Rhetoric and mathematics -- 2. Making explanations -- 3. Language and mathematics -- 4. The science of mathematical linguistics -- 5. Mathematical notation -- 6. Mathematical symbols and symbolic language -- 7. Mathematical terminology -- [pt]. 8. Mathematics : creation, discovery or invention? -- 1. Creating mathematics -- 2. Discovering mathematics -- 3. Inventing mathematics -- 4. Mathematical existence -- 5. Discovering mathematical patterns -- 6. Principles of mathematics -- 7. Mathematical structures -- 8. mathematical reasoning.".
catalog description "[pt]. 9. The sciences and mathematics I -- 1. The relationship between science and mathematics -- 2. Experimentation -- 3. Experience -- 4. Physics and mathematics -- 5. Mechanics -- [pt]. 10. The sciences and mathematics II -- 1. Gravity and gravitation -- 2. Relativity -- 3. Quantum theory -- 4. Astronomy and mathematics -- 5. The sun and other stars -- 6. Biology, medicine, chemistry and mathematics -- [pt]. 11. Mathematics and the arts -- 1. Aesthetics : mathematical beauty -- 2. Harmony and order -- 3. Proportion -- 4. Symmetry -- 5. The arts and mathematics -- 6. Architecture and mathematics -- 7. Music and mathematics -- 8. Painting and mathematics -- 9. Perspective -- 10. Poetry and mathematics -- 11. Stories, myth and mysticism -- [pt]. 12. Mathematics and the social sciences -- 1. Social sciences : sociology, anthropology and mathematics -- 2. Economics and mathematics -- 3. Psychology and mathematics -- 4. Game theory.".
catalog extent "xiv, 314 p. ;".
catalog identifier "0786412844 (softcover : alk. paper)".
catalog issued "2002".
catalog issued "c2002.".
catalog language "eng".
catalog publisher "Jefferson, N.C. : McFarland,".
catalog subject "510 21".
catalog subject "Mathematics Quotations, maxims, etc.".
catalog subject "QA99 .D53 2002".
catalog tableOfContents "Acknowledgments -- Preface -- [pt]. 1. The God hypothesis, religion and mathematics -- 1. In the beginning : God the creator -- 2. The mathematical nature of God -- 3. Discovering God's thoughts -- 4. Mathematical evidence of the existence of God -- 5. God's universe -- playing dice or order and harmony? -- 6. Religion, theology and mathematics -- [pt]. 2. The nature of mathematics 1 -- 1. What is mathematics? -- 2. The essence of mathematics -- 3. Characteristics of mathematics -- 4. Mathematics is ... -- 5. Mathematics as an intellectual activity -- 6. Analogies of mathematics -- 7. Mathematics as a tool -- 8. The misunderstanding of the nature of mathematics -- 9. Other views of the nature of mathematics -- 10. Mathematics as art -- 11. mathematics as a game -- 12. Mathematics as language.".
catalog tableOfContents "[pt. 33]. Geometry 2 -- 1. Pythagorean theorem -- 2. Flatland -- 3. Dimensions and dimension theory -- 4. Analytic or analytical geometry -- 5. Algebraic geometry -- 6. Differential geometry -- 7. Distance -- metric geometry -- 8. Parallel lines and the parallel postulate -- 9. Non-Euclidean geometry -- 10. Projection -- 11. Projective geometry -- 12. Duality -- 13. Modern geometry -- 14. Chaos -- 15. Fractal geometry -- [pt]. 24. Topology and graph theory -- 1. Origins of analysis situs [topology] -- 2. The nature of topology -- 3. Rubber sheet geometry -- 4. Set-theoretic topology -- 5. Topology, algebra and algebraic topology -- 6. Königsberg bridge problem -- 7. Graph theory -- 8. The Moebius strop -- 9. The Klein bottle -- 10. Four color problem -- 11. Knot theory.".
catalog tableOfContents "[pt]. 13. Teaching and learning mathematics -- 1. The importance of examples -- 2. Learning and mathematics -- 3. Lectures and lecturing -- 4. Clarity in teaching and learning mathematics -- 5. On writing mathematics -- 6. Reading and mathematics -- 7. The study of mathematics -- 8. Teaching and mathematics -- 9. Professors, universities and mathematics -- [pt]. 14. The nature of infinity -- 1. Understanding infinity -- 2. The infinite and the finite -- 3. Numbers and infinity -- 4. The infinitely large : the infinitely small -- 5. Fear and loathing of infinity -- 6. Theories of infinity -- 7. Nature and infinity -- 8. Infinity is ... definitions, sort of -- [pt]. 15. Pure mathematics and applied mathematics -- 1. Applied mathematics and mathematicians -- 2. Pure mathematics and mathematicians -- 3. Differences between pure and applied mathematics -- 4. Partnership of pure and applied mathematics -- 5. Uses and usefulness of mathematics -- 6. Values of mathematics.".
catalog tableOfContents "[pt]. 16. Mathematicians -- 1. Mathematicians on mathematicians -- 2. Non-mathematicians on mathematicians -- 3. Women an mathematics -- [pt]. 17. Some mathematical people 1 -- 1. Niels Abel -- 2. maria Gaetana Agnesi -- 3. Ibn Musa al-Khowarizmi -- 4. Apollonius of Perga -- 5. Archimedes of Syracuse -- 6. Charles Babbage -- 7. Daniel Bernoulli -- 8. Jacob Bernoulli -- 9. Johann Bernoulli -- 10. George David Birkhoff -- 11. Ralph Boas, Jr. -- 12. Janos Bolyai -- 13. Bernard Bolzano -- 14. George Boole -- 15. "Nicolas Bourbaki" -- 16. Georg Cantor -- 17. Girolamo Cardano -- 18. :Lewis Carroll" -- Charles Lutwidge Dodgson -- 19. Augustin-Louis Cauchy -- 20. Arthur Cayley -- 21. Emilie de Breteuil, Marquise du Chatelet -- 22. William Kingdon Clifford -- 23. Nicolaus Copernicus -- 24. Jean Le Rond d'Alembert -- 25. Julius Wilhelm Richard Dedekind -- 26. Rene Descartes -- 27. Diophantus -- 28. Paul Erdos -- 29. Euclid -- 30. Leonhard Euler.".
catalog tableOfContents "[pt]. 18. Some mathematical people 2 -- 1. Pierre Fermat -- 2. Joseph Fourier -- 3. Gottlob Frege -- 4. Galileo Galilei -- 5. Evariste Galois -- 6. Carl Friedrich Gauss -- 7. Sophie Germain -- 8. Kurt Goedel -- 9. John Graunt -- 10. Sir William Rowan Hamilton -- 11. Godfrey H. Hardy -- 12. Hermann von Helmholtz -- 13. Charles Hermite -- 14. David Hilbert -- 15. Hipparchus of Rhodes -- 16. Christiaan Huygens -- 17. Hypatia -- 18. Johannes Kepler -- 19. Omar Khayyam -- 20. Felix Klein -- 21. Sonja Sophie Kovalevsky -- 22. Leopold Kronecker -- 23. Joseph-Louis Lagrange -- 24. Imre Lakatos -- 25. Pierre-Simon de Laplace -- 26. Henri Lebesque -- 27. Solomon Lefschetz -- 28. Adrien-Marie Legendre -- 29. Gottfried Wilhelm von Leibniz -- 30. Marius Sophus Lie -- 31. John Edensor Littlewood -- 32. Nikolai Lobachevski -- 33. Gosta Magnus Mittag-Leffler -- 34. Gaspard Monge -- 35. John Napier.".
catalog tableOfContents "[pt]. 19. Some mathematical people 3 -- 1. Sir Isaac Newton -- 2. Emmy Noether -- 3. Pappus -- 4. Blaise Pascal -- 5. Benjamin Peirce -- 6. Charles Sanders Peirce -- 7. Jules Henri Poincare -- 8. George Polya -- 9. Ptolemy -- 10. Pythagoras and the Pythagoreans -- 11. Srinivasa Ramanujan -- 12. Robert Recorde -- 13. George Friedrich Bernhard Riemannn -- 14. Lord Bertrand Russell -- 15. Takakazu Seki (Kowa) -- 16. Mary Somerville -- 17. Hugo Steinhaus -- 18. James Joseph Sylvester -- 19. Thales -- 20. Alan Turing -- 21. Stanislaw Ulam -- 22. John Von Neumann -- 23. Karl Weierstrass -- 24. Alfred North Whitehead -- 25. Norbert Wiener -- 26. Christopher Wren -- 27. Zeno of Elea -- [pt]. 20. Problems and problem solving -- 1. The three problems of antiquity -- 2. Fermat's last theorem -- 3. Other mathematical problems -- 4. Posing mathematical problems and questions -- 5. Complicated and unsolved problems -- 6. Solving problems -- 7. Learning and teaching problem solving -- 8. Puzzles.".
catalog tableOfContents "[pt]. 21. Mathematics and nature -- 1. Nature interpreted by mathematics -- 2. Laws of mathematics -- 3. Laws of motion -- 4. Laws of nature -- [pt]. 22. Philosophy, mathematics, truth and certainty -- 1. Philosophy and mathematics -- 2. Philosophy of mathematics -- 3. Metaphysics and metamathematics -- 4. The nature of mathematical truth -- 5. The certainty of mathematics -- [pt]. 23. Logic and foundations -- 1. The nature of logic -- 2. Symbolic logic -- 3. Logic and mathematics -- 4. Common sense -- 5. Postulates, axioms and the axiomatic method -- 6. The possible and the impossible -- 7. Contradictions and paradoxes -- 8. Syllogisms and validity -- 9. Foundations of mathematics -- [pt]. 24. Proof and mathematics -- 1. Mathematical arguments -- 2. Mathematical demonstrations -- 3. Cause and effect -- 4. The role of assumptions in mathematics -- 5. That which is obvious -- 6. The nature of proof -- 7. Mathematical proofs -- 8. Rigor in mathematical proofs -- 9. Elegant mathematical proofs -- 10. mathematical propositions and theorems.".
catalog tableOfContents "[pt]. 25. Sets, relations and functions -- 1. Sets and set theory -- 2. Equality and equivalence -- 3. Mathematical relations -- 4. Functions and function theory -- 5. Special functions -- [pt]. 26. Space : real and idealized -- 1. Real and mathematical space -- 2. Curvature of space -- 3. The universe -- 4. The world -- [pt]. 27. Numbers : the heart of mathematics -- 1. The nature and development of numbers -- 2. Number in verse -- 3. The notion of quantity -- 4. Cardinal and ordinal numbers -- 5. Counting -- 6. Whole numbers -- natural numbers -- 7. Fractions -- 8. Negative numbers -- 9. Integers -- 10. Irrational numbers -- 11. Zero.".
catalog tableOfContents "[pt]. 28. Numbers and number theory -- 1. Even and odd numbers -- 2. Real and rational numbers -- 3. Imaginary numbers -- 4. Complex numbers -- 5. Algebraic and transcendental numbers -- 6. "e" -- 7. "pi" -- 8. Quaternions -- 9. Transfinite numbers -- 10. Number theory -- 11. Continued fractions -- 12. Divisibility -- 13. Perfect numbers -- 14. Prime numbers -- 15. Magic squares -- 16. Bistromathics -- [pt]. 29. Arithmetic -- 1. The nature of arithmetic -- 2. The fundamental operations of arithmetic -- 3. Calculation and computation -- 4. Logarithms -- [pt]. 30. Algebra and trigonometry -- 1. Elementary algebra -- 2. Exponents -- 3. Formulas -- 4. Unknowns and variables -- 5. Equations and their solutions -- 6. Fundamental theorem of algebra -- 7. Trigonometry -- 8. Abstract algebra -- 9. Linear algebra -- 10. Groups and group theory -- 11. Transformation groups -- 12. Invariants of groups.".
catalog tableOfContents "[pt]. 3. The nature of mathematics 2 -- 1. Mathematics as science -- 2. Appreciation for mathematics -- 3. Aptitude for mathematics -- 4. The attraction of mathematics -- 5. Ignorance of mathematics -- 6. Mathematics and the imagination -- 7. Mathematical ideals and idealization -- [pt]. 4. The development of mathematics 1 -- 1. Growth of new mathematical ideas -- 2. The process of mathematical development -- 3. Mathematical thinking -- 4. Intuition -- 5. Experiments and empiricism -- 6. Induction -- 7. Deduction -- [pt]. 5. The development of mathematics 2 -- 1. Definitions -- 2. Hypothesis in mathematics -- 3. Mathematical analogies -- 4. Abstraction -- 5. General principles and generalizations -- 6. Revolutions in mathematics -- 7. Modern mathematics.".
catalog tableOfContents "[pt]. 31. The art of measurement -- 1. Measure and measurement -- 2. Measurement and mathematics -- 3. Weights and measures -- 4. The measurable and the unmeasurable -- 5. Measurement inverse -- 6. Length, area and volume -- 7. Measuring devices and techniques -- 8. Approximations -- 9. Longitude and latitude -- 10. The metric system -- 11. Time -- [pt]. 32. Geometry 1 -- 1. The history of geometry -- 2. The science of geometry -- 3. Geometry and art -- 4. Points, lines and planes -- 5. Commensurability -- 6. Curves -- 7. Size and shapes -- 8. Geometric constructions -- 9. Angles and triangles -- 10. Polygons and polyhedrons -- 11. Circles -- 12. The other conic sections -- 13. Spheres -- 14. Solid geometry.".
catalog tableOfContents "[pt]. 35. Analysis and calculus -- 1. Analytical methods in mathematics -- 2. Calculus of variations -- 3. Continuity -- 4. Infinitesimals -- 5. The limit concept -- 6. The calculus -- 7. Derivatives and differentiation -- 8. Maximum and minimum values -- 9. Mean value theorem -- 10. Integrals and integration -- 11. Series -- 12. Differential equations -- [pt]. 36. Computers, algorithms and mathematical models -- 1. The history and development of computers -- 2. Computers and mathematics -- 3. Humans and machines -- 4. Miscellaneous views of computers -- 5. Cybernetics -- 6. Combinatorics and combinatorial analysis -- 7. Algorithms -- 8. Linear programming -- 9. Operations research -- 10. Mathematical models.".
catalog tableOfContents "[pt]. 37. The theory of probability -- 1. Calculating probabilities -- 2. Probability, ignorance and certainty -- 3. Miscellaneous views of probability -- 4. Chance -- 5. Gambling -- 6. Permutations and combinations -- 7. Discrete mathematics -- 8. Making predictions -- [pt]. 38. Statistics and statisticians -- 1. Statisticans -- 2. The science of statistics -- 3. Statistics and lies -- 4. Miscellaneous views on statistics -- 5. Samples and sampling -- 6. Data -- 7. Average values -- 8. Decison-making -- Bibliography -- Author index -- Keyword index.".
catalog tableOfContents "[pt]. 6. The Historical origins of mathematics -- 1. History of mathematics -- 2. Oriental mathematics -- 3. Egyptian mathematics -- 4. Sumerian and Babylonian mathematics -- 5. Chinese mathematics -- 6. Japanese mathematics -- 7. Mayan mathematics -- 8. Greek mathematics -- 9. Roman mathematics -- 10. Hindu mathematics -- 11. Arabic mathematics -- 12. Hindu-Arabic numerals -- 13. Decimal system of numeration -- 14. The rebirth of mathematics in the West -- [pt]. 7. Language, e linguistics and mathematics -- 1. Rhetoric and mathematics -- 2. Making explanations -- 3. Language and mathematics -- 4. The science of mathematical linguistics -- 5. Mathematical notation -- 6. Mathematical symbols and symbolic language -- 7. Mathematical terminology -- [pt]. 8. Mathematics : creation, discovery or invention? -- 1. Creating mathematics -- 2. Discovering mathematics -- 3. Inventing mathematics -- 4. Mathematical existence -- 5. Discovering mathematical patterns -- 6. Principles of mathematics -- 7. Mathematical structures -- 8. mathematical reasoning.".
catalog tableOfContents "[pt]. 9. The sciences and mathematics I -- 1. The relationship between science and mathematics -- 2. Experimentation -- 3. Experience -- 4. Physics and mathematics -- 5. Mechanics -- [pt]. 10. The sciences and mathematics II -- 1. Gravity and gravitation -- 2. Relativity -- 3. Quantum theory -- 4. Astronomy and mathematics -- 5. The sun and other stars -- 6. Biology, medicine, chemistry and mathematics -- [pt]. 11. Mathematics and the arts -- 1. Aesthetics : mathematical beauty -- 2. Harmony and order -- 3. Proportion -- 4. Symmetry -- 5. The arts and mathematics -- 6. Architecture and mathematics -- 7. Music and mathematics -- 8. Painting and mathematics -- 9. Perspective -- 10. Poetry and mathematics -- 11. Stories, myth and mysticism -- [pt]. 12. Mathematics and the social sciences -- 1. Social sciences : sociology, anthropology and mathematics -- 2. Economics and mathematics -- 3. Psychology and mathematics -- 4. Game theory.".
catalog title "A dictionary of quotations in mathematics / compiled and edited by Robert A. Nowlan.".
catalog type "Quotations. fast".
catalog type "text".