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Fundamentals of Mathematical Analysis
 
Paul J Sally, Jr
Price : ₹ 1080.00
ISBN : 978-1-4704-2581-4
Language : English
Pages : 376
Binding : Paperback
Book Size : 180 x 240 mm
Year : 2016
Series : American Mathematical Society
Territorial Rights : Restricted
Imprint : No Image

Out Of Stock

 
About the Book

This is a textbook for a course in honours analysis (for freshman/sophomore undergraduates) or real analysis (for junior/senior undergraduates) or analysis-i (beginning graduates). It is intended for students who completed a course in AP calculus; possibly followed by a routine course in multivariable calculus and a computational course in linear algebra. There are three features that distinguish this book from many other books of a similar nature and which are important for the use of this book as a text. The first and most important feature is the collection of exercises. These are spread throughout the chapters and should be regarded as an essential component of the student’s learning. Some of these exercises comprise a routine follow-up to the material, while others challenge the student’s understanding more deeply. The second feature is the set of independent projects presented at the end of each chapter. These projects supplement the content studied in their respective chapters. They can be used to expand the student’s knowledge and understanding or as an opportunity to conduct a seminar in inquiry based learning in which the students present the material to their class. The third really important feature is a series of challenge problems that increase in impossibility as the chapters progress.

Table of Contents

Preface 
Acknowledgments
Chapter 1. The Construction of Real and Complex Numbers  
Chapter 2. Metric and Euclidean Spaces 
Chapter 3. Complete Metric Spaces 
Chapter 4. Normed Linear Spaces 
Chapter 5. Differentiation 
Chapter 6. Integration 
Chapter 7. Fourier Analysis on Locally Compact Abelian Groups 
Appendix A. Sets, Functions, and Other Basic Ideas 
Appendix B. Linear Algebra 
Independent Projects
Bibliography 
Index of Terminology Index of Notation Definitions

Contributors (Author(s), Editor(s), Translator(s), Illustrator(s) etc.)

Paul J Sally, Jr. was Professor of Mathematics at the University of Chicago, Chicago, USA.

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