A First Course in Real Analysis
Published in December 1997
Book
Hardback
XVIII, 534 pages
978-3-540-97437-6 (ISBN)
Description
Many changes have been made in this second edition of A First Course in Real Analysis. The most noticeable is the addition of many problems and the inclusion of answers to most of the odd-numbered exercises. The book's readability has also been improved by the further clarification of many of the proofs, additional explanatory remarks, and clearer notation.
More details
Other editions
Previous edition
Sterling K. Berberian
A First Course in Real Analysis
Book
07/1994
Springer
€58.80
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Content
The Real Number System.- Continuity and Limits.- Basic Properties of Functions on R.- Elementary Theory of Differentiation.- Elementary Theory of Integration.- Elementary Theory of Metric Spaces.- Differentiation in R.- Integration in R.- Infinite Sequences and Infinite Series.- Fourier Series.- Functions Defined by Integrals.-Improper Integrals.- The Riemann-Stieltjes Integral and Functions of Bounded Variation.- Contraction Mappings, Newton's Method, and Differential Equations.- Implicit Function Theorems and Lagrange Multipliers.- Functions on Metric Spaces.- Approximation.- Vector Field Theory; the Theorems of Green and Stokes. Appendices.