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About this product
Product Identifiers
PublisherWiley & Sons, Incorporated, John
ISBN-100471000078
ISBN-139780471000075
eBay Product ID (ePID)598821
Product Key Features
Number of Pages704 Pages
LanguageEnglish
Publication NameCalculus, Volume 2
Publication Year1991
SubjectCalculus, Mathematical Analysis
FeaturesRevised
TypeTextbook
AuthorTom M. Apostol
Subject AreaMathematics
FormatHardcover
Dimensions
Item Height1.2 in
Item Weight43.6 Oz
Item Length10.3 in
Item Width6.9 in
Additional Product Features
Edition Number2
Intended AudienceCollege Audience
LCCN67-014605
IllustratedYes
Volume NumberVol. 2
Dewey Decimal517
Edition DescriptionRevised edition
Table Of ContentLinear Analysis. Linear Spaces. Linear Transformations and Matrices. Determinants. Eigenvalues and Eigenvectors. Eigenvalues of Operators Acting on Euclidean Spaces. Linear Differential Equations. Systems of Differential Equations. Nonlinear Analysis. Differential Calculus of Scalar and Vector Fields. Applications of the Differential Calculus. Line Integrals. Special Topics. Set Functions and Elementary Probability. Calculus of Probabilities. Introduction to Numerical Analysis.
SynopsisAn introduction to the calculus, with an excellent balance between theory and technique. Integration is treated before differentiation -- this is a departure from most modern texts, but it is historically correct, and it is the best way to establish the true connection between the integral and the derivative. Proofs of all the important theorems are given, generally preceded by geometric or intuitive discussion. This Second Edition introduces the mean-value theorems and their applications earlier in the text, incorporates a treatment of linear algebra, and contains many new and easier exercises. As in the first edition, an interesting historical introduction precedes each important new concept., An introduction to the calculus, with an excellent balance between theory and technique. Integration is treated before differentiation -- this is a departure from most modern texts, but it is historically correct, and it is the best way to establish the true connection between the integral and the derivative.