A Concrete Introduction to Real Analysis

A Concrete Introduction to Real Analysis
Author: Robert Carlson
Publisher: CRC Press
Total Pages: 308
Release: 2006-05-30
Genre: Mathematics
ISBN: 1420011545

Download A Concrete Introduction to Real Analysis Book in PDF, Epub and Kindle

Most volumes in analysis plunge students into a challenging new mathematical environment, replete with axioms, powerful abstractions, and an overriding emphasis on formal proofs. This can lead even students with a solid mathematical aptitude to often feel bewildered and discouraged by the theoretical treatment. Avoiding unnecessary abstractions to provide an accessible presentation of the material, A Concrete Introduction to Real Analysis supplies the crucial transition from a calculations-focused treatment of mathematics to a proof-centered approach. Drawing from the history of mathematics and practical applications, this volume uses problems emerging from calculus to introduce themes of estimation, approximation, and convergence. The book covers discrete calculus, selected area computations, Taylor's theorem, infinite sequences and series, limits, continuity and differentiability of functions, the Riemann integral, and much more. It contains a large collection of examples and exercises, ranging from simple problems that allow students to check their understanding of the concepts to challenging problems that develop new material. Providing a solid foundation in analysis, A Concrete Introduction to Real Analysis demonstrates that the mathematical treatments described in the text will be valuable both for students planning to study more analysis and for those who are less inclined to take another analysis class.


A Concrete Introduction to Real Analysis
Language: en
Pages: 308
Authors: Robert Carlson
Categories: Mathematics
Type: BOOK - Published: 2006-05-30 - Publisher: CRC Press

GET EBOOK

Most volumes in analysis plunge students into a challenging new mathematical environment, replete with axioms, powerful abstractions, and an overriding emphasis
A Concrete Introduction to Real Analysis
Language: en
Pages: 312
Authors: Robert Carlson
Categories: Mathematics
Type: BOOK - Published: 2006-05-30 - Publisher: CRC Press

GET EBOOK

Most volumes in analysis plunge students into a challenging new mathematical environment, replete with axioms, powerful abstractions, and an overriding emphasis
A Sequential Introduction To Real Analysis
Language: en
Pages: 274
Authors: J Martin Speight
Categories: Mathematics
Type: BOOK - Published: 2015-10-29 - Publisher: World Scientific Publishing Company

GET EBOOK

Real analysis provides the fundamental underpinnings for calculus, arguably the most useful and influential mathematical idea ever invented. It is a core subjec
A Concrete Approach to Classical Analysis
Language: en
Pages: 443
Authors: Marian Muresan
Categories: Mathematics
Type: BOOK - Published: 2015-09-16 - Publisher: Springer Science & Business Media

GET EBOOK

Mathematical analysis offers a solid basis for many achievements in applied mathematics and discrete mathematics. This new textbook is focused on differential a
Introduction to Real Analysis
Language: en
Pages: 386
Authors: Christopher Heil
Categories: Mathematics
Type: BOOK - Published: 2019-07-20 - Publisher: Springer

GET EBOOK

Developed over years of classroom use, this textbook provides a clear and accessible approach to real analysis. This modern interpretation is based on the autho