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Carte Real Analysis and Infinity Sedaghat

Real Analysis and Infinity

Autor: Sedaghat, Hassan (Professor Emeritus of Mathematics, Professor Emeritus of Mathematics, Virginia Commonwealth University, USA)
Limbă: engleză
Legare: Copertă tare
Editura: Oxford University Press
Disponibilitate: În depozitul extern
Expediem în 9-15 zile
582.06 lei
Real Analysis and Infinity presents the essential topics for a first course in real analysis with an...

Informații despre carte

Autor
Sedaghat, Hassan (Professor Emeritus of Mathematics, Professor Emeritus of Mathematics, Virginia Commonwealth University, USA)
Limbă
engleză
Legare
Carte - Copertă tare
Publicat
2022
Pagini
320
EAN
9780192895622
ISBN
0192895621
Enbook ID
37144339
Editura
Oxford University Press
Greutate
1078
Dimensiuni
156 x 234 x 32

Descriere completă

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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