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Principles of Mathematical Analysis by Walter Rudin (Paperback), 3RD INT'L ED.

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Specificaties

Objectstaat
Nieuw: Een nieuw, ongelezen en ongebruikt boek in perfecte staat waarin geen bladzijden ontbreken of ...
Binding
SOFTCOVER
International ISBN
9789355325969
Contents
SAME as in US edition
Subject Area
Mathematics
Packing
Shrinkwrapped- Box Packed
Product Type
INTERNATIONAL EDITION
If Order Expedited Shipping
DELIVERED WITHIN 5-7 DAYS BY DHL/UPS/FedEx/Aramex
Alt ISBN
9780070856134
Cover Design
May differ from the Picture shown here
Subject
General, Mathematical Analysis
Edition
3rd ed.
ISBN
9780070542358
Publication Name
Principles of Mathematical Analysis
Item Length
9.2 in
Publisher
Mcgraw-Hill Education
Publication Year
1976
Type
Textbook
Format
Hardcover
Language
English
Item Height
0.9 in
Author
Walter Rudin
Features
Revised
Item Width
6.4 in
Item Weight
22.4 Oz
Number of Pages
352 Pages

Over dit product

Product Information

The third edition of this well known text continues to provide a solid foundation in mathematical analysis for undergraduate and first-year graduate students. The text begins with a discussion of the real number system as a complete ordered field. (Dedekind's construction is now treated in an appendix to Chapter I.) The topological background needed for the development of convergence, continuity, differentiation and integration is provided in Chapter 2. There is a new section on the gamma function, and many new and interesting exercises are included. This text is part of the Walter Rudin Student Series in Advanced Mathematics.

Product Identifiers

Publisher
Mcgraw-Hill Education
ISBN-10
007054235x
ISBN-13
9780070542358
eBay Product ID (ePID)
8038209331

Product Key Features

Author
Walter Rudin
Publication Name
Principles of Mathematical Analysis
Format
Hardcover
Language
English
Features
Revised
Subject
General, Mathematical Analysis
Publication Year
1976
Type
Textbook
Subject Area
Mathematics
Number of Pages
352 Pages

Dimensions

Item Length
9.2 in
Item Height
0.9 in
Item Width
6.4 in
Item Weight
22.4 Oz

Additional Product Features

Edition Number
3
LCCN
75-017903
Intended Audience
College Audience
Lc Classification Number
Qa303
Edition Description
Revised Edition
Table of Content
Chapter 1: The Real and Complex Number Systems Introduction Ordered Sets Fields The Real Field The Extended Real Number System The Complex Field Euclidean Spaces Appendix Exercises Chapter 2: Basic Topology Finite, Countable, and Uncountable Sets Metric Spaces Compact Sets Perfect Sets Connected Sets Exercises Chapter 3: Numerical Sequences and Series Convergent Sequences Subsequences Cauchy Sequences Upper and Lower Limits Some Special Sequences Series Series of Nonnegative Terms The Number e The Root and Ratio Tests Power Series Summation by Parts Absolute Convergence Addition and Multiplication of Series Rearrangements Exercises Chapter 4: Continuity Limits of Functions Continuous Functions Continuity and Compactness Continuity and Connectedness Discontinuities Monotonic Functions Infinite Limits and Limits at Infinity Exercises Chapter 5: Differentiation The Derivative of a Real Function Mean Value Theorems The Continuity of Derivatives L'Hospital's Rule Derivatives of Higher-Order Taylor's Theorem Differentiation of Vector-valued Functions Exercises Chapter 6: The Riemann-Stieltjes Integral Definition and Existence of the Integral Properties of the Integral Integration and Differentiation Integration of Vector-valued Functions Rectifiable Curves Exercises Chapter 7: Sequences and Series of Functions Discussion of Main Problem Uniform Convergence Uniform Convergence and Continuity Uniform Convergence and Integration Uniform Convergence and Differentiation Equicontinuous Families of Functions The Stone-Weierstrass Theorem Exercises Chapter 8: Some Special Functions Power Series The Exponential and Logarithmic Functions The Trigonometric Functions The Algebraic Completeness of the Complex Field Fourier Series The Gamma Function Exercises Chapter 9: Functions of Several Variables Linear Transformations Differentiation The Contraction Principle The Inverse Function Theorem The Implicit Function Theorem The Rank Theorem Determinants Derivatives of Higher Order Differentiation of Integrals Exercises Chapter 10: Integration of Differential Forms Integration Primitive Mappings Partitions of Unity Change of Variables Differential Forms Simplexes and Chains Stokes' Theorem Closed Forms and Exact Forms Vector Analysis Exercises Chapter 11: The Lebesgue Theory Set Functions Construction of the Lebesgue Measure Measure Spaces Measurable Functions Simple Functions Integration Comparison with the Riemann Integral Integration of Complex Functions Functions of Class L 2 Exercises Bibliography List of Special Symbols Index
Copyright Date
1976
Dewey Decimal
517
Dewey Edition
21

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