Fundamentals of mathematical analysis
Material type:
TextSeries: Pure and applied undergraduate texts ; 20Publication details: Hyderabad : Universities Press, 2016. Description: xiii, 362p. ; 26 cmISBN: 9781470425814Subject(s): 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.)DDC classification: 517 Online resources: Table of Content | Reviews Summary: This 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.
| Item type | Current library | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|
NBHM Books
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SMS Library | 517 SAL-F (Browse shelf(Opens below)) | Available | N451 |
Includes bibliographical references (pages 351-352) and index.
This 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.
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