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Home > Mathematics and Science books > Mathematics > Linear Algebra and Multivariable Calculus (Pearson Original Edition)
Linear Algebra and Multivariable Calculus (Pearson Original Edition)

Linear Algebra and Multivariable Calculus (Pearson Original Edition)


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About the Book

This Pearson Original edition is published for Queensland University of Technology. Linear Algebra and Multivariable Calculus introduces students to multivariable calculus and linear algebra following on from studies of single variable calculus, vectors and matrices and some linear systems either in high school or introductory studies at university. It is assumed that students have some familiarity with calculus and linear systems. There are many worked examples scattered throughout the text and exercise sets are provided at the end of each section, as well as answers at the end of the book.

Table of Contents:
*1 Preliminaries *1.1 Differentiation of single variable functions *1.2 Integration of single variable functions *1.3 Vector algebra *1.4 Matrix algebra *2 Differentiation of multiple variable functions *2.1 Functions of two variables *2.2 Partial differentiation *2.3 The gradient *3 Applying differentiation of multivariable functions *3.1 Directional derivatives *3.2 Extrema *3.3 Differentials *4 Multiple integrals *4.1 Area via single integrals *4.2 Area calculation and double integrals *4.3 Volume calculations and double integrals of functions *4.4 Volume calculations and triple integrals *4.5 Triple integrals of functions *5 Vector valued functions *5.1 Vector valued functions *5.2 Parametric differentiation and integration *5.3 Particle motion *6 Systems of linear equations *6.1 Matrix equations for linear systems *6.2 Solving systems of linear equations *6.3 Existence and uniqueness of solutions *6.4 The nullspace of a matrix *6.5 The eigenvalue problem * Answers to selected exercises


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Product Details
  • ISBN-13: 9781442532519
  • Publisher: Pearson Education Australia
  • Publisher Imprint: Pearson Custom Publishing
  • Language: English
  • ISBN-10: 1442532513
  • Publisher Date: 14 Dec 2009
  • Binding: Paperback


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Linear Algebra and Multivariable Calculus (Pearson Original Edition)
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