# Practical Use of MathcadŽ: Solving Mathematical Problems With a Computer Algebra System

Springer Science & Business Media, Oct 15, 1999 - Computers - 505 pages

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### Contents

 Introduction 1 11 Structure and Operation of Computer Algebra Systems 2 12 Application Areas for Computer Algebra Systems 6 13 Development of MATHCAD 11 14 Comparison of MATHCAD with other Systems 13 Installation of MATHCAD 14 22 MATHCAD Files 15 23 Help System 16
 1532 Transposition 173 1533 Inverse 174 1534 Scalar Vector and Scalar Triple Product 176 154 Determinants 178 155 Eigenvalues and Eigenvectors 181 Equations and Inequalities 185 162 Polynomials 196 163 Nonlinear Equations 203

 24 AXUM 18 MATHCAD User Interface 20 31 Menu Bar 21 32 Standard Toolbar 23 33 Formatting Toolbar 24 35 Worksheet 29 36 Status Bar 31 MATHCAD Worksheet 32 41 Text Arrangement 36 42 Layout of Calculations 38 43 Worksheets Management 40 432 Layout 41 434 Insertion of Objects 43 Electronic Books 44 51 Properties Structure and Handling 45 52 Books Available Extension Packs and Libraries 50 Exact and Numerical Calculations 54 61 Exact Calculation Using Computer Algebra 57 611 Symbolic Equal Sign 58 612 Keywords 61 62 Numerical Calculations 64 63 Control of the Calculation 66 631 Automatic Mode 67 633 Termination of Calculations 68 635 Optimization 69 64 Error Messages 71 Numbers 72 71 Real Numbers 73 72 Complex Numbers 74 73 Builtin Constants 77 Variables 79 82 Simple and Indexed Variables 80 83 Range Variables 82 84 Strings 87 Data Management 89 91 Data Input 91 92 Data Output 97 93 Data Exchange 101 Programming 102 101 Boolean Operators and Logical Operators 104 102 Definition of Operators 105 103 Assignments 108 104 Branches 109 105 Loops 111 106 Programming Examples 118 1061 Error Handling 119 1062 Examples 120 Dimensions and Units of Measure 129 Basic Arithmetic Operations 133 Transformation of Expressions 135 132 Simplification 138 133 Partial Fraction Decomposition 139 134 Expansion 140 135 Multiplication 142 136 Factorization 143 137 Reduce to a Common Denominator 145 139 Transformation of Trigonometric Expressions 146 Sums and Products 149 Vectors and Matrices 154 151 Input 155 1511 Input of Vectors 156 1512 Input of Matrices 160 152 Vector and Matrix Functions 164 153 Computational Operations 167 1531 Addition and Multiplication 171
 164 Numerical Solution Methods 211 165 Inequalities 219 Functions 224 171 General Functions 225 1712 Sorting Functions 226 1713 String Functions 231 172 Mathematical Functions 232 1721 Elementary Functions 233 1722 Special Functions 235 1724 Approximation of Functions 242 Graphics Features 249 182 Surfaces 264 183 Scatter Plots 274 184 Diagrams 280 185 Animations 282 186 Import and Export of Graphics 285 Differentiation 286 192 Taylor Expansion 295 193 Calculus of Errors 301 194 Calculation of Limits 303 195 Discussion of Curves 307 Integration 315 202 Definite Integrals 322 203 Improper Integrals 325 204 Numerical Methods 329 205 Multiple Integrals 335 Infinite Series and Products 338 212 Power Series 343 213 Fourier Series 344 Vector Analysis 348 222 Gradient Rotation and Divergence 352 223 Curvilinear and Surface Integrals 356 Differential Equations 358 2311 Initial Value Problems 359 2312 Boundary Value Problems 373 232 Partial Differential Equations 379 Transformations 383 242 Fourier Transformation 387 243 ZTransformation 388 244 Wavelet Transformation 391 245 Solution of Difference and Differential Equations 393 Optimization 401 251 Extreme Value Problems 402 252 Linear Programming 410 253 Nonlinear Programming 416 254 Numerical Methods 418 Probability 431 261 Combinatorics 432 262 Probability and Random Variables 434 263 Expected Value and Variance 437 264 Distribution Functions 438 265 Random Numbers 447 Statistics 451 271 Parameters of a Sample 453 272 Correlation and Regression 460 2721 Introduction 461 2722 Linear Regression Curves 462 2723 Nonlinear Regression Curves 465 273 Simulations 472 274 Electronic Books for Statistics 476 Summary 487 Bibliography 490 Index 493 Copyright