skip to content
Principles of mathematical analysis Preview this item
ClosePreview this item

Principles of mathematical analysis

Author: Walter Rudin
Publisher: Auckland ; Bogota ; Paris ... : McGraw-Hill, 1976.
Series: International series in pure and applied mathematics.
Edition/Format:   Print book : English : 3rd ed., [McGraw-Hill international ed.]View all editions and formats

Part of the Student Series in Advanced Mathematics, this book provides a foundation in mathematical analysis. It begins with a discussion of the real number system as a complete ordered field. It  Read more...


(not yet rated) 0 with reviews - Be the first.

More like this


Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...


Document Type: Book
All Authors / Contributors: Walter Rudin
ISBN: 0070856133 9780070856134 007054235X 9780070542358
OCLC Number: 60845377
Description: x, 342 pages ; 21 cm.
Contents: 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 L2 Exercises Bibliography List of Special Symbols Index
Series Title: International series in pure and applied mathematics.
Responsibility: Walter Rudin.


User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...


Be the first.

Similar Items

Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data

Primary Entity

<> # Principles of mathematical analysis
    a schema:Book, schema:CreativeWork ;
   library:oclcnum "60845377" ;
   library:placeOfPublication <> ; # Bogota
   library:placeOfPublication <> ; # Auckland
   library:placeOfPublication <> ;
   library:placeOfPublication <> ; # Paris ...
   schema:about <> ; # Mathematical analysis
   schema:about <> ;
   schema:about <> ; # Análise matemática
   schema:bookEdition "3rd ed., [McGraw-Hill international ed.]." ;
   schema:bookFormat bgn:PrintBook ;
   schema:creator <> ; # Walter Rudin
   schema:datePublished "1976" ;
   schema:exampleOfWork <> ;
   schema:inLanguage "en" ;
   schema:isPartOf <> ; # International series in pure and applied mathematics.
   schema:name "Principles of mathematical analysis"@en ;
   schema:productID "60845377" ;
   schema:publication <> ;
   schema:publisher <> ; # McGraw-Hill
   schema:workExample <> ;
   schema:workExample <> ;
   wdrs:describedby <> ;

Related Entities

<> # International series in pure and applied mathematics.
    a bgn:PublicationSeries ;
   schema:hasPart <> ; # Principles of mathematical analysis
   schema:name "International series in pure and applied mathematics." ;

<> # Análise matemática
    a schema:Intangible ;
   schema:name "Análise matemática"@en ;

<> # Mathematical analysis
    a schema:Intangible ;
   schema:name "Mathematical analysis"@en ;

<> # Walter Rudin
    a schema:Person ;
   schema:birthDate "1921" ;
   schema:deathDate "2010" ;
   schema:familyName "Rudin" ;
   schema:givenName "Walter" ;
   schema:name "Walter Rudin" ;

    a schema:ProductModel ;
   schema:isbn "007054235X" ;
   schema:isbn "9780070542358" ;

    a schema:ProductModel ;
   schema:isbn "0070856133" ;
   schema:isbn "9780070856134" ;

Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.