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Home > Mathematics and Science Textbooks > Mathematics > Calculus and mathematical analysis > Calculus > Student’s Guide to Calculus by J. Marsden and A. Weinstein: Volume III
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Student’s Guide to Calculus by J. Marsden and A. Weinstein: Volume III

Student’s Guide to Calculus by J. Marsden and A. Weinstein: Volume III


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About the Book

This book is intended as a guide for students using the text, Calculus III by Jerrold Marsden and Alan Weinstein. It may be unique among such guides in that it was written by a student user of the text. For each section of the text, the guide contains a list of prerequisites, a review quiz (with answers), a list of study goals, some hints for study, solutions to the odd-numbered problems, and a quiz on the section (with answers). For each review section the guide includes solutions to the odd exercises and a chapter test with solutions.

Table of Contents:
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.- 13.R Review Exercises for Chapter 13.- 14 -- Curves and Surfaces.- 14.1 The Conic Sections.- 14.2 Translation and Rotstion 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.- 14.S Supplement to Chapter 14: Rotations and the Sunshine Formula.- 14.R Review Exercises for Chapter 14.- 15 -- Partial Differentiation.- 15.1 Introduction to Partial Derivatives.- 15.2 Linear Approximation and Tangent Planes.- 15.3 The Chain Rule.- 15.4 Matrix Multiplication and the Chain Rule.- 15.R Review Exercises for Chapter 15.- Comprehensive Test For Chapters 13 – 15.- 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.- l6.R Review Exercises for Chapter 16.- 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.- l7.R Review Exercises for Chapter 17.- 18 -- Vector Analysis.- 18.1 Line Integrals 839.- 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.- l8.R Review Exercises for Chapter 18.- Comprehensive Test for Chapters 13 – 18.


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Product Details
  • ISBN-13: 9780387963488
  • Publisher: Springer-Verlag New York Inc.
  • Publisher Imprint: Springer-Verlag New York Inc.
  • Height: 229 mm
  • No of Pages: 294
  • Returnable: Y
  • Width: 152 mm
  • ISBN-10: 0387963480
  • Publisher Date: 09 May 1986
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Sub Title: Volume III


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