Has previous owner's name written in blue pen on the front pastedown. Slight wear to the top and bottom of the spine, with general shelf wear. ; This book contains black-and-white mathematical formulae and illustrations/diagrams. A Radical Approach to Real Analysis by David Bressoud offers a unique perspective on real analysis, exploring its historical development and underlying principles. Part of the *Classroom Resource Materials* series, it presents key concepts like sequences, series, and limits, making them accessible through historical context. The book is ideal for advanced students and instructors seeking a deeper understanding of real analysis and its evolution. ; 17.5 x 25.1 x 2 cm; 324 pages.

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Bibliographic Details

Title: A Radical Approach to Real Analysis - Classroom Resource Materials
Publisher: The Mathematical Association of America, U. S. A
Publication Date: 1996
Language: English
ISBN 10: 0883857014
ISBN 13: 9780883857014
Binding: Softcover
Edition: First Edition; First Impression.
Condition: Very Good+

About this title

Synopsis

This book is an undergraduate introduction to real analysis. Teachers can use it as a textbook for an innovative course, or as a resource for a traditional course. Students who have been through a traditional course, but do not understand what real analysis is about and why it was created, will find answers to many of their questions in this book. Although this is not a history of analysis, the author returns to the roots of the subject to make it more comprehensible. The book begins with Fourier's introduction of trigonometric series and the problems they created for the mathematicians of the early nineteenth century. Cauchy's attempts to establish a firm foundation for calculus follow, and the author considers his failures and his successes. The book culminates with Dirichlet's proof of the validity of the Fourier series expansion and explores some of the counterintuitive results Riemann and Weierstrass were led to as a result of Dirichlet's proof. Mathematica � commands and programs are included in the exercises. However, the reader may use any mathematical tool that has graphing capabilities, including the graphing calculator.

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Literary Cat Books
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