A radical approach to real analysis
By: David M. Bressoud
Edition: 2nd ed
Series: Classroom resource materials; Classroom resource materials (Unnumbered)
Publisher: Mathematical Association of America
Published: 2007
Place of publication: [Washington, D.C.]
Language: eng
Number of pages: 323
ISBN-13: 9780883857472
Subjects: Mathematical analysis; Functions of real variables; Mathematical analysis -- Problems, exercises, etc; Functions of real variables -- Problems, exercises, etc
Genres: Problems, exercises, etc
Description: "In the second edition of this MAA classic, exploration continues to be an essential component. More than 60 new exercises have been added, and the chapters on infinite summations, differentiability and continuity, and convergence of infinite series have been reorganized to make it easier to identify the key ideas. A Radical Approach to Real Analysis is an introduction to real analysis, rooted in and informed by the historical issues that shaped its development. It can be used as a textbook, or as a resource for the instructor who prefers to teach a traditional course, or as a resource for the student who has been through a traditional course yet still does not understand what real analysis is about and why it was created"--Publisher description.
Notes: Includes bibliographical references (p. 303-304) and index
Table of contents: title: Crisis in mathematics : Fourier's series; title: Infinite summations; title: Differentiability and continuity; title: The convergence of infinite series; title: Understanding infinite series; title: Return to Fourier series; title: Epilogue; title: Explorations of the infinite