000			03179nam a22003257a 4500
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005			20240610120618.0
008			240604b |||||||| |||| 00| 0 hin d
020			_a9781470425814
040			_aNISER LIBRARY _beng _cNISER LIBRARY
082			_a517 _bSAL-F
100			_aSally, Paul J.
245			_aFundamentals of mathematical analysis
260			_aHyderabad : _bUniversities Press, _c2016.
300			_axiii, 362p. ; _c26 cm.
490			_aPure and applied undergraduate texts ; _v20
504			_aIncludes bibliographical references (pages 351-352) and index.
520			_aThis is a textbook for a course in Honors 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.
650			_aMathematical analysis.
650			_aLinear and multilinear algebra; matrix theory -- Instructional exposition (textbooks, tutorial papers, etc.)
650			_aTopological groups, Lie groups -- Locally compact abelian groups (LCA groups) -- General properties and structure of LCA groups.
650			_aReal functions -- Instructional exposition (textbooks, tutorial papers, etc.)
650			_aMeasure and integration -- Instructional exposition (textbooks, tutorial papers, etc.)
650			_aHarmonic analysis on Euclidean spaces -- Instructional exposition (textbooks, tutorial papers, etc.).
650			_aAbstract harmonic analysis -- Instructional exposition (textbooks, tutorial papers, etc.).
650			_aFunctional analysis -- Instructional exposition (textbooks, tutorial papers, etc.).
856			_3Table of Content _uhttps://www.ams.org/bookstore/pspdf/amstext-20-toc.pdf?_gl=1*6gquz7*_ga*OTY4OTA1OTY3LjE3MTc5OTU1MTY.*_ga_26G4XFTR63*MTcxNzk5NTUxNi4xLjEuMTcxODAwMDgxNy4wLjAuMA..
856			_3Reviews _uhttps://www.goodreads.com/book/show/17244465-fundamentals-of-mathematical-analysis-pure-and-applied-undergraduate-te?from_search=true&from_srp=true&qid=i9vY91BDhi&rank=1#CommunityReviews
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