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Kniha Real Analysis and Infinity Sedaghat

Real Analysis and Infinity

Autor: Sedaghat, Hassan (Professor Emeritus of Mathematics, Professor Emeritus of Mathematics, Virginia Commonwealth University, USA)
Jazyk: Angličtina
Vazba: Pevná
Vydavatel: Oxford University Press
Dostupnost: Skladem u dodavatele
Odesíláme za 9-15 dnů
2 472 Kč
Real Analysis and Infinity presents the essential topics for a first course in real analysis with an...

Informace o knize

Autor
Sedaghat, Hassan (Professor Emeritus of Mathematics, Professor Emeritus of Mathematics, Virginia Commonwealth University, USA)
Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
2022
Stránek
320
EAN
9780192895622
ISBN
0192895621
Enbook ID
37144339
Vydavatel
Oxford University Press
Hmotnost
1078
Rozměry
156 x 234 x 32

Kompletní popis

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.

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