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Könyv Real Analysis and Infinity Sedaghat

Real Analysis and Infinity

Szerző: Sedaghat, Hassan (Professor Emeritus of Mathematics, Professor Emeritus of Mathematics, Virginia Commonwealth University, USA)
Nyelv: Angol
Kötés: Kemény kötésű
Kiadó: Oxford University Press
Elérhetőség: Beszállítói készleten
Küldés 9-15 napon belül
40 113 Ft
Real Analysis and Infinity presents the essential topics for a first course in real analysis with an...

Információk a könyvről

Szerző
Sedaghat, Hassan (Professor Emeritus of Mathematics, Professor Emeritus of Mathematics, Virginia Commonwealth University, USA)
Nyelv
Angol
Kötés
Könyv - Kemény kötésű
Kiadva
2022
oldal
320
EAN
9780192895622
ISBN
0192895621
Enbook ID
37144339
Kiadó
Oxford University Press
Súly
1078
Méretek
156 x 234 x 32

Teljes leírás

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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