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Calculus Of Several Variables (undergraduate Texts In Mathematics) 🔍
LANG, Serge Springer New York : Imprint: Springer, Undergraduate texts in mathematics, 3 ed, 2012
英语 [en] · PDF · 62.8MB · 2012 · 📘 非小说类图书 · 🚀/lgli/lgrs/nexusstc/upload/zlib · Save
描述
This new, revised edition covers all of the basic topics in calculus of several variables, 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. It includes many completely worked-out problems.
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lgli/Z:\Bibliotik_\23\L\Lang Calculus.pdf
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lgrsnf/Z:\Bibliotik_\23\L\Lang Calculus.pdf
备用文件名
nexusstc/Calculus of Several Variables/ce7c31669d2dcb26c60ff0d58dc6d92c.pdf
备用文件名
zlib/Mathematics/LANG, Serge/Calculus of Several Variables_5825780.pdf
备选作者
Serge Lang; SpringerLink (Online service)
备用出版商
Springer Science & Business Media
备用版本
Springer Nature (Textbooks & Major Reference Works), New York, NY, 2012
备用版本
Undergraduate Texts in Mathematics, Third Edition, New York, NY, 1987
备用版本
Undergraduate Texts in Mathematics, 3 ed, New York, NY, 2013
备用版本
United States, United States of America
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lg2652470
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Adobe Acrobat 8.26 Paper Capture Plug-in
元数据中的注释
{"edition":"3 ed","isbns":["1461210682","1461270014","9781461210689","9781461270010"],"publisher":"Springer","series":"Undergraduate texts in mathematics"}
备用描述
The 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.
Erscheinungsdatum: 17.10.2012
备用描述
I: Basic Material. 1: Vectors. 2: Differentiation of Vectors. 3: Functions of Several Variables. 4: The Chain Rule and the Gradient. II: Maxima, Minima, and Taylor's Formula. 5: Maximum and Minimum. 6: Higher Derivatives. III: Curve Integrals and Double Integrals. 7: Potential Functions. 8: Curve Integrals. 9: Double Integrals. 10: Green's Theorem. IV: Triple and Surface Integrals. 12: Triple Integrals. V: Mappings, Inverse Mappings, and Change of Variables Formula. 13: Matrices. 14: Linear Mappings. 15: Determinants. 16: Applications to Functions of Several Variables. 17: The Change of Variables Formula. Appendix: Fourier Series.
备用描述
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. By Serge Lang.
开源日期
2020-07-26
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