
Preface  Preview Material  Table of Contents  Index 
Pure and Applied Undergraduate Texts 2013; 362 pp; hardcover Volume: 20 ISBN10: 0821891413 ISBN13: 9780821891414 List Price: US$74 Member Price: US$59.20 Order Code: AMSTEXT/20 See also: Introduction to Analysis: Fifth Edition  Edward D Gaughan Advanced Calculus: Second Edition  Patrick M Fitzpatrick Tools of the Trade: Introduction to Advanced Mathematics  Paul J Sally, Jr  This is a textbook for a course in Honors Analysis (for freshman/sophomore undergraduates) or Real Analysis (for junior/senior undergraduates) or AnalysisI (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 followup 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. The foundational material contained in this book is published separately as Paul Sally's, "Tools of the Trade: Introduction to Advanced Mathematics," also available from the AMS. Request an examination or desk copy. Readership Undergraduate and graduate students interested in learning and teaching real analysis. 


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