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003 - CONTROL NUMBER IDENTIFIER |
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OSt |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20140310151443.0 |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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111216s2012 xxu| s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9780817682927 |
|
978-0-8176-8292-7 |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA299.6-433 |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
515 |
Edition number |
23 |
264 #1 - |
-- |
Boston, MA : |
-- |
Birkhäuser Boston : |
-- |
Imprint: Birkhäuser, |
-- |
2012. |
912 ## - |
-- |
ZDB-2-SMA |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Ponnusamy, S. |
Relator term |
author. |
245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
Title |
Foundations of Mathematical Analysis |
Medium |
[electronic resource] / |
Statement of responsibility, etc |
by S. Ponnusamy. |
250 ## - EDITION STATEMENT |
Edition statement |
1. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
XV, 570p. 205 illus. |
Other physical details |
online resource. |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
Real Number System -- Sequences: Convergence and Divergence -- Limits, Continuity, and Differentiability -- Applications of Differentiability -- Series: Convergence and Divergence -- Definite and Indefinite Integrals -- Improper Integrals and Applications of Riemann Integrals -- Power Series -- Uniform Convergence of Sequences of Functions -- Fourier Series and Applications -- Functions of Bounded Variation and Riemann-Stieltjes Integrals -- References -- Index of Special Notations -- Hints for Selected Questions and Exercises -- Index. |
520 ## - SUMMARY, ETC. |
Summary, etc |
Mathematical analysis is fundamental to the undergraduate curriculum not only because it is the stepping stone for the study of advanced analysis, but also because of its applications to other branches of mathematics, physics, and engineering at both the undergraduate and graduate levels. This self-contained textbook consists of eleven chapters, which are further divided into sections and subsections. Each section includes a careful selection of special topics covered that will serve to illustrate the scope and power of various methods in real analysis. The exposition is developed with thorough explanations, motivating examples, and illustrations conveying geometric intuition in a pleasant and informal style to help readers grasp difficult concepts. Key features include: * “Questions and Exercises” are provided at the end of each section, covering a broad spectrum of content with various levels of difficulty; * Some of the exercises are routine in nature while others are interesting, instructive, and challenging with hints provided for selected exercises; * Covers a broad spectrum of content with a range of difficulty that will enable students to learn techniques and standard analysis tools; * Introduces convergence, continuity, differentiability, the Riemann integral, power series, uniform convergence of sequences and series of functions, among other topics; * Examines various important applications throughout the book; * Figures throughout the book to demonstrate ideas and concepts are drawn using Mathematica. Foundations of Mathematical Analysis is intended for undergraduate students and beginning graduate students interested in a fundamental introduction to the subject. It may be used in the classroom or as a self-study guide without any required prerequisites. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Global analysis (Mathematics). |
|
Topical term or geographic name as entry element |
Fourier analysis. |
|
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Analysis. |
|
Topical term or geographic name as entry element |
Applications of Mathematics. |
|
Topical term or geographic name as entry element |
Approximations and Expansions. |
|
Topical term or geographic name as entry element |
Fourier Analysis. |
710 2# - ADDED ENTRY--CORPORATE NAME |
Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY |
Title |
Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Display text |
Printed edition: |
International Standard Book Number |
9780817682910 |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-0-8176-8292-7 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Item type |
E-Book |