Answers to Selected Problems in Multivariable Calculus with Linear Algebra and Series

Released on by William F. Trench
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  • Answers to Selected Problems in Multivariable Calculus with Linear Algebra and Series Book Detail

  • Author : William F. Trench
  • Release Date : 2014-05-10
  • Publisher : Academic Press
  • Genre : Mathematics
  • Pages : 97
  • ISBN 13 : 1483220451
  • File Size : 70,70 MB
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Answers to Selected Problems in Multivariable Calculus with Linear Algebra and Series by William F. Trench PDF Summary

Book Description: Answers to Selected Problems in Multivariable Calculus with Linear Algebra and Series contains the answers to selected problems in linear algebra, the calculus of several variables, and series. Topics covered range from vectors and vector spaces to linear matrices and analytic geometry, as well as differential calculus of real-valued functions. Theorems and definitions are included, most of which are followed by worked-out illustrative examples. The problems and corresponding solutions deal with linear equations and matrices, including determinants; vector spaces and linear transformations; eigenvalues and eigenvectors; vector analysis and analytic geometry in R3; curves and surfaces; the differential calculus of real-valued functions of n variables; and vector-valued functions as ordered m-tuples of real-valued functions. Integration (line, surface, and multiple integrals) is also covered, together with Green's and Stokes's theorems and the divergence theorem. The final chapter is devoted to infinite sequences, infinite series, and power series in one variable. This monograph is intended for students majoring in science, engineering, or mathematics.

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Calculus of Several Variables

Calculus of Several Variables

File Size : 20,20 MB
Total View : 9119 Views
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This new, revised edition covers all of the basic topics in calculus of several variables, including vectors, curves, functions of several variables, gradient,