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Alternative Mathematics using MATLAB 7 1.0

  Date Added: May 26, 2013  |  Visits: 236

Alternative Mathematics using MATLAB 7

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This e-book is based on the Student Edition of MATLAB 7, which includes a symbolic toolbox. The Professional Edition may of course also be used. The goal is to exploit a restricted subset of MATLAB commands and functions to explore most of the elements of undergraduate mathematics. All items from simple algebra to Fourier analysis are reduced to basic arithmetic operations. Sample chapters of the book may be downloaded fromhttp://www.phys.umu.se/gunnarwhich includes ordering information.Begin by including the unzipped M-files in the current MATLAB folder work. To run one of these files, enter its name in the MATLAB Command Window.TABLE OF CONTENTS1 Introduction 12 MATLAB as a Calculator 63 Geometric Applications 134 Vectors in (x, y) and (x, y, z) 185 General Vectors 256 Systems of Linear Equations 317 Plotting Functions 388 Script Files 439 Functions and Function Files 5010 Zeros and Extreme Points 6211 Symbolic Algebra 7012 Limits 7713 Derivatives 8214 Sums 8915 Integrals 9416 Symbolic Calculus 10117 Random Events and Statistics 11018 Curve Fitting (Optional) 12219 First-Order Differential Equations 13620 Second-Order ODEs 15021 Symbolic Solutions to ODEs 16122 Functions of Two Variables 16923 Complex Numbers and Functions 17724 Fourier Series 18825 Fourier Transforms 199Appendix: Fast Fourier Transforms 221Appendix: Eigenvalues and Eigenvectors 226Conclusion 237Vocabulary of MATLAB 238

Requirements: No special requirements
Platforms: Matlab
Keyword: Algebra Calculus Derivatives Equations Events Extreme Functions General Integrals Limits Linear Plotting Points Random Statistics Symbolic Systems Zeros
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License: Freeware Size: 40.96 KB
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