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Calculus III - Jerrold Marsden; Alan Weinstein
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Calculus III - new book

2012, ISBN: 9781461250289

eBooks, eBook Download (PDF), The goal of this text is to help students learn to use calculus intelligently for solving a wide variety of mathematical and physical problems. This book is … More...

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Calculus III - new book

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ISBN: 9781461250289

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Calculus III - new book

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Calculus III - new book

ISBN: 9781461250289

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Calculus III
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9781461250289

Details of the book - Calculus III


EAN (ISBN-13): 9781461250289
Publishing year: 2012
Publisher: Springer New York

Book in our database since 2015-12-09T13:13:28-05:00 (New York)
Detail page last modified on 2023-09-05T23:27:39-04:00 (New York)
ISBN/EAN: 9781461250289

ISBN - alternate spelling:
978-1-4612-5028-9
Alternate spelling and related search-keywords:
Book author: weinstein, marsden, jerrold
Book title: calculus iii

Information from Publisher

Author: Jerrold Marsden; Alan Weinstein
Title: Undergraduate Texts in Mathematics; Calculus III
Publisher: Springer; Springer US
344 Pages
Publishing year: 2012-12-06
New York; NY; US
Language: English
39,99 € (DE)
41,20 € (AT)
63,50 CHF (CH)
Available
XV, 344 p.

EA; E107; eBook; Nonbooks, PBS / Mathematik/Analysis; Reelle Analysis, Real-Variablen; Verstehen; calculus; derivative; differential equation; extrema; maximum; minimum; B; Real Functions; Mathematics and Statistics; BC

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.
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.
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