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Calculus of Several Variables / Serge Lang

By: Lang, SergeContributor(s): Lang, SergeMaterial type: Text

TextPublisher number: :International Book Distributors | :Flat No 17, Prakash Apartment 4405/2, 5 Ansari Road Darya Ganj New Delhi Series: Undergraduate texts in mathematicsPublication details: New York : Springer-Verlag, ©1987Description: xii, 503, [95] pages : illustrations ; 25 cmISBN: 9781461270010Subject(s): Mathematics | Analysis | Calculus | Calcul infinitésimal | Vectoren (wiskunde) | IntegralenDDC classification: 515.84 LAN

Contents:

Part 1. Basic material -- I. Vectors -- II. Differentiation of vectors -- III. Functions of several variables -- IV. The chain rule and the gradient -- Part 2. Maxima, minima, and Taylor's formula -- V. Maximum and minimum -- VI. Higher derivatives -- Part 3. Curve integrals and double integrals -- VII. Potential functions -- VIII. Curve integrals -- IX. Double integrals -- X. Green's theorem -- Part 4. Triple and surface integrals -- XI. Triple integrals -- XII. Surface integrals -- Part V. 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.

Summary: "This is a new, revised, edition of this widely known text. All of the basic topics in calculus of several variables are covered, including vectors, curves, functions of several variables, gradient, tangent plane, maxima and minima, potential functions, curve integrals, Green's theorem, multiple integrals, surface integrals, Stokes' theorem, and the inverse mapping theorem and its consequences. The presentation is self-contained, assuming only a knowledge of basic calculus in one variable. Many completely worked-out problems have been included."--Back cover

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Holdings
Item type	Current library	Call number	Status	Notes	Date due	Barcode	Item holds
Mathematics Departmental Library	SNU LIBRARY	515.84 LAN (Browse shelf(Opens below))	Available	FPDA Grant		M317

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Previous	515.7248 KUM Functional Analysis : a first course	515.782 VLA Generalized functions in mathematical physics	515.8 LIN Spaces	515.84 LAN Calculus of Several Variables	515.84 SRI Functions of several variables	515.9 AHL Complex analysis	515.9 BRU Complex Analysis	Next

Part 1. Basic material --
I. Vectors --
II. Differentiation of vectors --
III. Functions of several variables --
IV. The chain rule and the gradient --
Part 2. Maxima, minima, and Taylor's formula --
V. Maximum and minimum --
VI. Higher derivatives --
Part 3. Curve integrals and double integrals --
VII. Potential functions --
VIII. Curve integrals --
IX. Double integrals --
X. Green's theorem --
Part 4. Triple and surface integrals --
XI. Triple integrals --
XII. Surface integrals --
Part V. 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.

"This is a new, revised, edition of this widely known text. All of the basic topics in calculus of several variables are covered, including vectors, curves, functions of several variables, gradient, tangent plane, maxima and minima, potential functions, curve integrals, Green's theorem, multiple integrals, surface integrals, Stokes' theorem, and the inverse mapping theorem and its consequences. The presentation is self-contained, assuming only a knowledge of basic calculus in one variable. Many completely worked-out problems have been included."--Back cover

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