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Welcome To Real Analysis Continuity And Calculus Distance And Dynamics Benjamin B Kennedy

Name: Welcome To Real Analysis Continuity And Calculus Distance And Dynamics Benjamin B Kennedy
SKU: BELL-46873318
Price: 31.00 USD
Availability: InStock
Rating: 5 (70 reviews)

SKU: BELL-46873318

$ 31.00 ~~$ 45.00~~ (-31%)

5.0

70 reviews

Welcome To Real Analysis Continuity And Calculus Distance And Dynamics Benjamin B Kennedy instant download after payment.

Publisher: American Mathematical Society

File Extension: PDF

File size: 29.31 MB

Pages: 373

Author: Benjamin B. Kennedy

ISBN: 9781470464547, 1470464543

Language: English

Year: 2022

Product desciption

Welcome To Real Analysis Continuity And Calculus Distance And Dynamics Benjamin B Kennedy by Benjamin B. Kennedy 9781470464547, 1470464543 instant download after payment.

Welcome to Real Analysis is designed for use in an introductory undergraduate course in real analysis. Much of the development is in the setting of the general metric space. The book makes substantial use not only of the real line and $n$-dimensional Euclidean space, but also sequence and function spaces. Proving and extending results from single-variable calculus provides motivation throughout. The more abstract ideas come to life in meaningful and accessible applications. For example, the contraction mapping principle is used to prove an existence and uniqueness theorem for solutions of ordinary differential equations and the existence of certain fractals; the continuity of the integration operator on the space of continuous functions on a compact interval paves the way for some results about power series. The exposition is exceedingly clear and well-motivated. There are a wide variety of exercises and many pedagogical innovations. For example, each chapter includes Reading Questions so that students can check their understanding. In addition to the standard material in a first real analysis course, the book contains two concluding chapters on dynamical systems and fractals as an illustration of the power of the theory developed.