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Calculus Of Several Variables (undergraduate Texts In Mathematics) 🔍
Serge Lang (auth.) Springer-Verlag New York, Undergraduate Texts in Mathematics, Undergraduate Texts in Mathematics, 3, 1987
英语 [en] · PDF · 40.4MB · 1987 · 📘 非小说类图书 · 🚀/lgli/lgrs/nexusstc/scihub/upload/zlib · Save
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: 17.02.1987
备用文件名
lgli/A:/compressed/10.1007%2F978-1-4612-1068-9.pdf
备用文件名
lgrsnf/A:/compressed/10.1007%2F978-1-4612-1068-9.pdf
备用文件名
nexusstc/Calculus of Several Variables/894557df086472ab4668376e4d5d7797.pdf
备用文件名
scihub/10.1007/978-1-4612-1068-9.pdf
备用文件名
zlib/Mathematics/Serge Lang/Calculus of Several Variables_2128435.pdf
备选作者
Serge Lang; SpringerLink (Online service)
备选作者
PdfCompressor 3.1.34
备选作者
Lang, Serge
备用出版商
Springer New York : Imprint: Springer
备用出版商
Springer Science & Business Media
备用出版商
Copernicus
备用出版商
Telos
备用版本
Undergraduate texts in mathematics, 3. ed., 2. corr. printing, New York [etc.], Unknown, 1988
备用版本
Undergraduate texts in mathematics, 3rd ed., New York, New York State, 1988
备用版本
Undergraduate texts in mathematics, 3rd ed., New York, New York State, 1987
备用版本
Undergraduate texts in mathematics, 3rd ed., New York, New York State, 1994
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
3rd ed. (corrected 2nd printing), New York, 1988
备用版本
Undergraduate texts in mathematics, 3 ed, 2012
备用版本
United States, United States of America
备用版本
3rd, PS, 1987
元数据中的注释
0
元数据中的注释
lg974516
元数据中的注释
producers:
Adobe Acrobat 8.26 Paper Capture Plug-in
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元数据中的注释
"Corrected second printing"--T.p. verso.
Includes index.
元数据中的注释
Includes index.
元数据中的注释
"Third corrected printing"--T.p. verso.
Includes index.
元数据中的注释
Указ.
元数据中的注释
РГБ
元数据中的注释
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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
Front Matter....Pages i-xii
Front Matter....Pages 1-1
Vectors....Pages 3-48
Differentiation of Vectors....Pages 49-65
Functions of Several Variables....Pages 66-86
The Chain Rule and the Gradient....Pages 87-120
Front Matter....Pages 121-121
Maximum and Minimum....Pages 123-142
Higher Derivatives....Pages 143-179
Front Matter....Pages 181-181
Potential Functions....Pages 183-205
Curve Integrals....Pages 206-232
Double Integrals....Pages 233-268
Green’s Theorem....Pages 269-290
Front Matter....Pages 291-291
Triple Integrals....Pages 293-317
Surface Integrals....Pages 318-364
Front Matter....Pages 365-365
Matrices....Pages 367-384
Linear Mappings....Pages 385-411
Determinants....Pages 412-433
Applications to Functions of Several Variables....Pages 434-452
The Change of Variables Formula....Pages 453-486
Back Matter....Pages 487-I7
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."--Back cover.
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.
备用描述
<p><P>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.</p>
备用描述
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.
备用描述
Covers various 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.
开源日期
2013-08-01
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