Data Portal @ linkeddatafragments.org

Matches in Harvard for { <http://id.lib.harvard.edu/aleph/007354644/catalog> ?p ?o. }

• catalog abstract ""This is a logically self-contained introduction to analysis, suitable for students who have had two years of calculus. The book centers around those properties that have to do with uniform convergence and uniform limits in the context of differentiation and integration. Topics discussed include the classical test for convergence of series, Fourier series, polynomial approximation, the Poisson kernel, the construction of harmonic functions on the disk, ordinary differential equations, curve integrals, derivatives in vector spaces, multiple integrals, and others. One of the author's main concerns is to achieve a balance between concrete examples and general theorems, augmented by a variety of interesting exercises." "Some new material has been added in this second edition, for example: a new chapter on the global version of integration of locally integrable vector fields; a brief discussion of [actual symbol not reproducible]-Cauchy sequences, introducing students to the Lebesgue integral; more material on Dirac sequences and families, including a section on the heat kernel; a more systematic discussion of orders of magnitude; and a number of new exercises."--Jacket.".
• catalog contributor b10152190.
• catalog created "1997.".
• catalog date "1997".
• catalog date "1997.".
• catalog dateCopyrighted "1997.".
• catalog description ""This is a logically self-contained introduction to analysis, suitable for students who have had two years of calculus. The book centers around those properties that have to do with uniform convergence and uniform limits in the context of differentiation and integration. Topics discussed include the classical test for convergence of series, Fourier series, polynomial approximation, the Poisson kernel, the construction of harmonic functions on the disk, ordinary differential equations, curve integrals, derivatives in vector spaces, multiple integrals, and others. One of the author's main concerns is to achieve a balance between concrete examples and general theorems, augmented by a variety of interesting exercises." "Some new material has been added in this second edition, for example: a new chapter on the global version of integration of locally integrable vector fields; a brief discussion of [actual symbol not reproducible]-Cauchy sequences, introducing students to the Lebesgue integral; more material on Dirac sequences and families, including a section on the heat kernel; a more systematic discussion of orders of magnitude; and a number of new exercises."--Jacket.".
• catalog description "Includes bibliographical references and index.".
• catalog description "Part 1. Review of calculus -- 0. Sets and mappings -- I. Real numbers -- II. Limits and continuous functions -- III. Differentiation -- IV. Elementary functions -- V. The elementary real integral -- Part 2. Convergence -- VI. Normed vector spaces -- VII. Limits -- VIII. Compactness -- IX. Series -- X. The integral in one variable -- Part 3. Applications of the integral -- XI. Approximation with convolutions -- XII. Fourier series -- XIII. Improper integrals -- XIV. The Fourier integral -- Part 4. Calculus in vector spaces -- XV. Functions on n-space -- XVI. The winding number and global potential functions -- XVII. Derivatives in vector spaces -- XVIII. Inverse mapping theorem -- XIX. Ordinary differential equations -- Part 5. Multiple integration -- XX. Multiple integrals -- XXI. Differential forms.".
• catalog extent "xv, 642 p. :".
• catalog identifier "0387948414 (hardcover : alk. paper)".
• catalog isPartOf "Undergraduate texts in mathematics".
• catalog issued "1997".
• catalog issued "1997.".
• catalog language "eng".
• catalog publisher "New York : Springer,".
• catalog subject "515/.8 20".
• catalog subject "Mathematical analysis.".
• catalog subject "QA300 .L278 1997".
• catalog tableOfContents "Part 1. Review of calculus -- 0. Sets and mappings -- I. Real numbers -- II. Limits and continuous functions -- III. Differentiation -- IV. Elementary functions -- V. The elementary real integral -- Part 2. Convergence -- VI. Normed vector spaces -- VII. Limits -- VIII. Compactness -- IX. Series -- X. The integral in one variable -- Part 3. Applications of the integral -- XI. Approximation with convolutions -- XII. Fourier series -- XIII. Improper integrals -- XIV. The Fourier integral -- Part 4. Calculus in vector spaces -- XV. Functions on n-space -- XVI. The winding number and global potential functions -- XVII. Derivatives in vector spaces -- XVIII. Inverse mapping theorem -- XIX. Ordinary differential equations -- Part 5. Multiple integration -- XX. Multiple integrals -- XXI. Differential forms.".
• catalog title "Undergraduate analysis / Serge Lang.".
• catalog type "Lehrbuch. swd".
• catalog type "text".