Advanced calculus (Record no. 1610)

000 -LEADER
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003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20241105111457.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780821852095
040 ## - CATALOGING SOURCE
Original cataloging agency ICTS-TIFR
050 ## - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA303
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Patrick M. Fitzpatrick
245 ## - TITLE STATEMENT
Title Advanced calculus
250 ## - EDITION STATEMENT
Edition statement 2nd ed.
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Name of publisher, distributor, etc. American Mathematical Society,
Date of publication, distribution, etc. [c2006]
Place of publication, distribution, etc. Rhode Island:
300 ## - Physical Description
Pages: 590 p.
490 ## - SERIES STATEMENT
Series statement The Sally Series
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note Chapter 1. Tools for Analysis<br/>Chapter 2. Convergent Sequences<br/>Chapter 3. Continuous Functions<br/>Chapter 4. Differentiation<br/>Chapter 5. Elementary Functions as Solutions of Differential Equations<br/>Chapter 6. Integration: Two Fundamental Theorems<br/>Chapter 7. Integration: Further Topics<br/>Chapter 8. Approximation By Taylor Polynomials<br/>Chapter 9. Sequences And Series Of Functions<br/>Chapter 10. The Euclidean Space<br/>Chapter 11. Continuity, Compactness, And Connectednes<br/>Chapter 12. Metric Spaces<br/>Chapter 13. Differentiating Functions Of Several Variables<br/>Chapter 14. Local Approximation Of Real-Valued Functions<br/>Chapter 15. Approximating Nonlinear Mappings By Linear Mappings<br/>Chapter 16. Images And Inverses: The Inverse Function Theorem<br/>Chapter 17. Integrating Functions Of Several Variables<br/>Chapter 18. Iterated Integration And Changes Of Variables<br/>Chapter 19. Line And Surface Integrals
520 ## - SUMMARY, ETC.
Summary, etc. Advanced Calculus is intended as a text for courses that furnish the backbone of the student's undergraduate education in mathematical analysis. The goal is to rigorously present the fundamental concepts within the context of illuminating examples and stimulating exercises. This book is self-contained and starts with the creation of basic tools using the completeness axiom. The continuity, differentiability, integrability, and power series representation properties of functions of a single variable are established. The next few chapters describe the topological and metric properties of Euclidean space. These are the basis of a rigorous treatment of differential calculus (including the Implicit Function Theorem and Lagrange Multipliers) for mappings between Euclidean spaces and integration for functions of several real variables.Special attention has been paid to the motivation for proofs. Selected topics, such as the Picard Existence Theorem for differential equations, have been included in such a way that selections may be made while preserving a fluid presentation of the essential material.Supplemented with numerous exercises, Advanced Calculus is a perfect book for undergraduate students of analysis.---Summary provided by publisher
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Mathematics
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type Book
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Home library Shelving location Date acquired Full call number Accession No. Koha item type
          ICTS Rack No 5 01/18/2018 QA303 00868 Book