机读格式显示(MARC)
- 000 02108cam a2200301 i 4500
- 008 210908s2022 enka b 001 0 eng c
- 020 __ |a 9780192895622: |c CNY709.08
- 260 __ |a Oxford, United Kingdom : |b Oxford University Press, |c 2022.
- 035 __ |a (OCoLC)on1273672215
- 040 __ |a YDX |b eng |c YDX |e rda |d BDX |d UKMGB |d OCLCF |d OCLCO |d INU |d DLC
- 050 00 |a QA300 |b .S392 2022
- 100 1_ |a Sedaghat, Hassan, |e author.
- 245 10 |a Real analysis and infinity / |c H. Sedaghat.
- 300 __ |a xiv, 547 pages : |b illustrations ; |c 24 cm
- 336 __ |a text |b txt |2 rdacontent
- 337 __ |a unmediated |b n |2 rdamedia
- 338 __ |a volume |b nc |2 rdacarrier
- 504 __ |a Includes bibliographical references (page 541) and index.
- 520 __ |a "Real Analysis and Infinity presents the essential topics for a first course in real analysis with an emphasis on the role of infinity in all of the fundamental concepts. After introducing sequences of numbers, it develops the set of real numbers in terms of Cauchy sequences of rational numbers, and uses this development to derive the important properties of real numbers like completeness. The book then develops the concepts of continuity, derivative, and integral, and presents the theory of infinite sequences and series of functions. Topics discussed are wide-ranging and include the convergence of sequences, definition of limits and continuity via converging sequences, and the development of derivative. The proofs of the vast majority of theorems are presented and pedagogical considerations are given priority to help cement the reader's knowledge. Preliminary discussion of each major topic is supplemented with examples and diagrams, and historical asides. Examples follow most major results to improve comprehension, and exercises at the end of each chapter help with the refinement of proof and calculation skills."-- |c Publisher's description.
- 650 _0 |a Mathematical analysis.