Real Analysis

This book offers a fresh approach to a core subject and manages to provide a gentle and clear introduction without sacrificing rigour or accuracy.

Real Analysis

Real Analysis is a comprehensive introduction to this core subject and is ideal for self-study or as a course textbook for first and second-year undergraduates. Combining an informal style with precision mathematics, the book covers all the key topics with fully worked examples and exercises with solutions. All the concepts and techniques are deployed in examples in the final chapter to provide the student with a thorough understanding of this challenging subject. This book offers a fresh approach to a core subject and manages to provide a gentle and clear introduction without sacrificing rigour or accuracy.

More Books:

Real Analysis
Language: en
Pages: 276
Authors: John M. Howie
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

Real Analysis is a comprehensive introduction to this core subject and is ideal for self-study or as a course textbook for first and second-year undergraduates. Combining an informal style with precision mathematics, the book covers all the key topics with fully worked examples and exercises with solutions. All the concepts
The Real and the Complex: A History of Analysis in the 19th Century
Language: en
Pages: 350
Authors: Jeremy Gray
Categories: Mathematics
Type: BOOK - Published: 2015-10-14 - Publisher: Springer

This book contains a history of real and complex analysis in the nineteenth century, from the work of Lagrange and Fourier to the origins of set theory and the modern foundations of analysis. It studies the works of many contributors including Gauss, Cauchy, Riemann, and Weierstrass. This book is unique
Metric Spaces
Language: en
Pages: 304
Authors: Mícheál O'Searcoid
Categories: Mathematics
Type: BOOK - Published: 2006-12-26 - Publisher: Springer Science & Business Media

The abstract concepts of metric spaces are often perceived as difficult. This book offers a unique approach to the subject which gives readers the advantage of a new perspective on ideas familiar from the analysis of a real line. Rather than passing quickly from the definition of a metric to
Essential Real Analysis
Language: en
Pages: 450
Authors: Michael Field
Categories: Mathematics
Type: BOOK - Published: 2017-11-06 - Publisher: Springer

This book provides a rigorous introduction to the techniques and results of real analysis, metric spaces and multivariate differentiation, suitable for undergraduate courses. Starting from the very foundations of analysis, it offers a complete first course in real analysis, including topics rarely found in such detail in an undergraduate textbook
Real Analysis via Sequences and Series
Language: en
Pages: 476
Authors: Charles H.C. Little, Kee L. Teo, Bruce van Brunt
Categories: Mathematics
Type: BOOK - Published: 2015-05-28 - Publisher: Springer

This text gives a rigorous treatment of the foundations of calculus. In contrast to more traditional approaches, infinite sequences and series are placed at the forefront. The approach taken has not only the merit of simplicity, but students are well placed to understand and appreciate more sophisticated concepts in advanced