The Maple Book

The Maple Book

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Maple is a very powerful computer algebra system used by students, educators, mathematicians, statisticians, scientists, and engineers for doing numerical and symbolic computations. Greatly expanded and updated from the author's MAPLE V Primer, The MAPLE Book offers extensive coverage of the latest version of this outstanding software package, MAPLE 7.0 The MAPLE Book serves both as an introduction to Maple and as a reference. Organized according to level and subject area of mathematics, it first covers the basics of high school algebra and graphing, continues with calculus and differential equations then moves on to more advanced topics, such as linear algebra, vector calculus, complex analysis, special functions, group theory, number theory and combinatorics. The MAPLE Book includes a tutorial for learning the Maple programming language. Once readers have learned how to program, they will appreciate the real power of Maple. The convenient format and straightforward style of The MAPLE Book let users proceed at their own pace, practice with the examples, experiment with graphics, and learn new functions as they need them. All of the Maple commands used in the book are available on the Internet, as are links to various other files referred to in the book. Whatever your level of expertise, you'll want to keep The MAPLE Book next to your more

Product details

  • Hardback | 496 pages
  • 149.86 x 236.22 x 27.94mm | 566.99g
  • Taylor & Francis Inc
  • Chapman & Hall/CRC
  • Boca Raton, FL, United States
  • English
  • New.
  • 64 black & white illustrations, 58 black & white halftones
  • 1584882328
  • 9781584882329
  • 1,257,577

Table of contents

GETTING STARTED Starting a MAPLE Session Different Versions of MAPLE Basic Syntax Editing Mistakes Help A Sample Session and Context Menus Palettes Spreadsheets Quitting MAPLE MAPLE AS A CALCULATOR Exact Arithmetic and Basic Functions Floating-Point Arithmetic HIGH SCHOOL ALGEBRA Polynomials and Rational Functions Equations Fun with Integers Unit Conversion Trigonometry DATA TYPES Sequences Sets Lists Tables Arrays Data Conversions Other Data Types CALCULUS Defining Functions Composition of Functions Summation and Product Limits Differentiation Extrema Integration Taylor and Series Expansions The Student Package GRAPHICS 2-Dimensional Plotting 3-Dimensional Plotting Animation MAPLE PROGRAMMING The MAPLE Procedure Conditional Statements The "for" loop Type Declaration The "while" Loop Recursive Procedures Explicit Return Error Statement args and nargs Input and Output Benerating C and Fortran Code Viewing Built-in MAPLE Code The MAPLE Interactive Debugger Writing your own Packages Answers to Programming Exercises DIFFERENTIAL EQUATIONS Solving Ordinary Differential Equations First-Order Differential Equation Numerical Solutions Second- and Higher-Order Des Series Solutions The Laplace Transform The Detools Package Solving Systems of Ordinary Differential Equations Plotting Solutions to Ordinary Differential Equations Partial Differential Equations LINEAR ALGEBRA Vectors, Arrays, and Matrices Matrix Context Menu Elementary Row and Colum Operations Gaussian Elimination Inverses, Determinants, Minors, and the Adjoint Special Matrices and Vectors Systems of Linear Equations Row Space, Column Space, and Nullspace Eigenvectors and Diagonalization Jordan Form Inner Products and Vector and Matrix Norms Least Squares Problems QR-Factorization and the Gram-Schmidt Process LU-Factorization Other Linear Algebra Functions The linalg Package MULTIVARIABLE AND VECTOR CALCULUS Vectors Lines and Planes Vector-Valued Functions The Gradient and Directional Derivatives Extrema Multiple Integrals Vector Field Line Integrals Green's Theorem Surface Integrals COMPLEX ANALYSIS Arithmetic of Complex Numbers Polar Form nth Roots The Cauchy-Riemann Equations and Harmonic Functions Elementary Functions Conformal Mapping Taylor Series and Laurent Series Contour Integrals Residues and Poles OPENING, SAVING, AND EXPORTING WORKSHEETS Opening and Existing Worksheet Saving a Worksheet Opening a MAPLE Text Fle Exporting Worksheets and LaTeX DOCUMENT PREPARATION Adding Text Inserting Math into Text Adding Titles and Headings Creating a Subsection Cutting and Pasting Bookmarks and Hypertext MORE GRAPHICS The plottoos Package The geometry Package The geom3d Package SPECIAL FUNCTIONS Overview of Mathematical Functions Bessel Functions The GamMa Function Hypergeometric Functions Elliptic Integrals The AGM Jacobi's Theta Functions Elliptic Functions The Riemann Zeta Function Orthogonal Polynomials Integral Transforms Fast Fourier Transform Asymptotic Expansion STATISTICS Introduction Data Sets Numerical Methods for Describing Data Transforming Data Graphical Methods for Describing Data Linear Regression ANOVA Distributions OVERVIEW OF OTHER PACKAGES Finite Fields Polynomials Group Theory Combinatorics Number Theory Numerical Approximation Miscellaneous Packages New Packages APPENDICES MAPLE Resources Glossary of Commands Further Reading REFERENCES INDEXshow more

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