Description: About this productProduct InformationThe present course on calculus of several variables is meant as a text, either for one semester following A First Course in Calculus, or for a year if the calculus sequence is so structured. For a one-semester course, no matter what, one should cover the first four chapters, up to the law of conservation of energy, which provides a beautiful application of the chain rule in a physical context, and ties up the mathematics of this course with standard material from courses on physics. Then there are roughly two possibilities: One is to cover Chapters V and VI on maxima and minima, quadratic forms, critical points, and Taylor's formula. One can then finish with Chapter IX on double integration to round off the one-term course. The other is to go into curve integrals, double integration, and Green's theorem, that is Chapters VII, VIII, IX, and X, §1. This forms a coherent whole.Product IdentifiersPublisherSpringer New YorkISBN-100387964053ISBN-139780387964058eBay Product ID (ePID)59818Product Key FeaturesNumber of PagesXii, 619 PagesLanguageEnglishPublication NameCalculus of Several VariablesPublication Year1996SubjectCalculus, Mathematical AnalysisFeaturesRevisedTypeTextbookSubject AreaMathematicsAuthorSerge A. LangSeriesUndergraduate Texts in Mathematics Ser.FormatHardcoverDimensionsItem Weight82.9 OzItem Length9.3 inItem Width6.1 inAdditional Product FeaturesEdition Number3Intended AudienceScholarly & ProfessionalNumber of Volumes1 Vol.IllustratedYesEdition DescriptionRevised EditionLc Classification NumberQa331.5Table of ContentOne Basic Material.- I Vectors.- II Differentiation of Vectors.- III Functions of Several Variables.- IV The Chain Rule and the Gradient.- Two Maxima, Minima, and Taylor's Formula.- V Maximum and Minimum.- VI Higher Derivatives.- Three Curve Integrals and Double Integrals.- VII Potential Functions.- VIII Curve Integrals.- IX Double Integrals.- X Green's Theorem.- Four Triple and Surface Integrals.- XI Triple Integrals.- XII Surface Integrals.- Five Mappings, Inverse Mappings, and Change of Variables Formula..- XIII Matrices.- XIV Linear Mappings.- XV Determinants.- XVI Applications to Functions of Several Variables.- XVII The Change of Variables Formula.- Appendix Fourier Series.- §1. General Scalar Products.- §2. Computation of Fourier Series.- Answers to Exercises.Copyright Date
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Number of Pages: Xii, 619 Pages
Publication Name: Calculus of Several Variables
Language: English
Publisher: Springer New York
Subject: Calculus, Mathematical Analysis
Publication Year: 1987
Features: Revised
Item Weight: 82.9 Oz
Type: Textbook
Item Length: 9.3 in
Author: Serge A. Lang
Subject Area: Mathematics
Series: Undergraduate Texts in Mathematics Ser.
Item Width: 6.1 in
Format: Hardcover
