Fundamentals of mathematical analysis
 Author/Creator
 Sally, Paul J., Jr., 19332013
 Language
 English.
 Publication
 Providence, Rhode Island : American Mathematical Society, [2013]
 Physical description
 xiii, 362 pages : illustrations ; 26 cm.
 Series

Pure and applied undergraduate texts ; 20.
Sally series (Providence, R.I.)
Access
Available online

Stacks

Unknown
QA300 .S23 2013

Unknown
QA300 .S23 2013
More options
Contents/Summary
 Bibliography
 Includes bibliographical references and index.
 Publisher's Summary
 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.
(source: Nielsen Book Data)
Subjects
 Subject
 Mathematical analysis.
 Linear and multilinear algebra; matrix theory  Instructional exposition (textbooks, tutorial papers, etc.)
 Topological groups, Lie groups  Locally compact abelian groups (LCA groups)  General properties and structure of LCA groups.
 Real functions  Instructional exposition (textbooks, tutorial papers, etc.)
 Measure and integration  Instructional exposition (textbooks, tutorial papers, etc.)
 Harmonic analysis on Euclidean spaces  Instructional exposition (textbooks, tutorial papers, etc.)
 Abstract harmonic analysis  Instructional exposition (textbooks, tutorial papers, etc.)
 Functional analysis  Instructional exposition (textbooks, tutorial papers, etc.)
Bibliographic information
 Publication date
 2013
 Responsibility
 Paul J. Sally, Jr.
 Series
 Pure and applied undergraduate texts ; 20
 The Sally series
 ISBN
 9780821891414
 0821891413