Calculus III (Undergraduate Texts in Mathematics)

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9780387909851: Calculus III (Undergraduate Texts in Mathematics)

The third of a three-volume work, this book is the outgrowth of the authors' experience teaching calculus at Berkeley. It covers multivariable calculus and begins with the necessary material from analytical geometry. It goes on to cover partial differention, the gradient and its applications, multiple integration, and the theorems of Green, Gauss and Stokes. The authors motivate the study of calculus using its applications. Features many solved problems and extensive exercises.

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Marsden, Jerrold E. / Weinstein, Alan
ISBN 10: 0387909850 ISBN 13: 9780387909851
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Book Description Book Condition: New. Publisher/Verlag: Springer, Berlin | This book, the third of a three-volume work, is the outgrowth of the authors' experience teaching calculus at Berkeley. It is concerned with multivariable calculus, and begins with the necessary material from analytical geometry. It goes on to cover partial differention, the gradient and its applications, multiple integration, and the theorems of Green, Gauss and Stokes. Throughout the book, the authors motivate the study of calculus using its applications. Many solved problems are included, and extensive exercises are given at the end of each section. In addition, a separate student guide has been prepared. | 13 Vectors.- 13.1 Vectors in the Plane.- 13.2 Vectors in Space.- 13.3 Lines and Distance.- 13.4 The Dot Product.- 13.5 The Cross Product.- 13.6 Matrices and Determinants.- 14 Curves and Surfaces.- 14.1 The Conic Sections.- 14.2 Translation and Rotation of Axes.- 14.3 Functions, Graphs, and Level Surfaces.- 14.4 Quadric Surfaces.- 14.5 Cylindrical and Spherical Coordinates.- 14.6 Curves in Space.- 14.7 The Geometry and Physics of Space Curves.- 15 Partial Differentiation.- 15.1 Introduction to Partial Derivatives.- 15.2 Linear Approximations and Tangent Planes.- 15.3 The Chain Rule.- 15.4 Matrix Multiplication and the Chain Rule.- 16 Gradients, Maxima, and Minima.- 16.1 Gradients and Directional Derivatives.- 16.2 Gradients, Level Surfaces, and Implicit Differentiation.- 16.3 Maxima and Minima.- 16.4 Constrained Extrema and Lagrange Multipliers.- 17 Multiple Integration.- 17.1 The Double Integral and Iterated Integral.- 17.2 The Double Integral Over General Regions.- 17.3 Applications of the Double Integral.- 17.4 Triple Integrals.- 17.5 Integrals in Polar, Cylindrical, and Spherical Coordinates.- 17.6 Applications of Triple Integrals.- 18 Vector Analysis.- 18.1 Line Integrals.- 18.2 Path Independence.- 18.3 Exact Differentials.- 18.4 Green's Theorem.- 18.5 Circulation and Stokes' Theorem.- 18.6 Flux and the Divergence Theorem.- Answers. | Format: Paperback | Language/Sprache: english | 870 gr | 372 pp. Bookseller Inventory # K9780387909851

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Jerrold Marsden, Alan Weinstein
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Book Description Springer New York 1985-06-07, New York, 1985. paperback. Book Condition: New. Bookseller Inventory # 9780387909851

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Book Description Springer 1998-01, 1998. Book Condition: New. This item is printed on demand. Brand new book, sourced directly from publisher. Dispatch time is 24-48 hours from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Bookseller Inventory # NU-LSI-06920651

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Book Description Springer, 1985. Paperback. Book Condition: New. 2nd. This item is printed on demand. Bookseller Inventory # DADAX0387909850

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Book Description Springer-Verlag New York Inc., 1998. PAP. Book Condition: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Bookseller Inventory # IQ-9780387909851

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Book Description Springer-Verlag New York Inc., United States, 1998. Paperback. Book Condition: New. 2nd ed. 1985. Corr. 4th printing 1998. Language: English . Brand New Book ***** Print on Demand *****.The third of a three-volume work, this book is the outgrowth of the authors experience teaching calculus at Berkeley. It covers multivariable calculus and begins with the necessary material from analytical geometry. It goes on to cover partial differention, the gradient and its applications, multiple integration, and the theorems of Green, Gauss and Stokes. The authors motivate the study of calculus using its applications. Features many solved problems and extensive exercises. Bookseller Inventory # AAV9780387909851

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Book Description Springer-Verlag New York Inc., United States, 1998. Paperback. Book Condition: New. 2nd ed. 1985. Corr. 4th printing 1998. Language: English . Brand New Book ***** Print on Demand *****. The third of a three-volume work, this book is the outgrowth of the authors experience teaching calculus at Berkeley. It covers multivariable calculus and begins with the necessary material from analytical geometry. It goes on to cover partial differention, the gradient and its applications, multiple integration, and the theorems of Green, Gauss and Stokes. The authors motivate the study of calculus using its applications. Features many solved problems and extensive exercises. Bookseller Inventory # AAV9780387909851

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Book Description Springer, 1998. Paperback. Book Condition: New. book. Bookseller Inventory # M0387909850

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Book Description Springer-Verlag New York Inc., 1998. PAP. Book Condition: New. New Book. Delivered from our UK warehouse in 3 to 5 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Bookseller Inventory # LQ-9780387909851

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Book Description Springer, 2016. Paperback. Book Condition: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Bookseller Inventory # ria9780387909851_lsuk

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