An Introduction to Maple V (anglicky)

· Springer, Berlin

Cornil, Jack M.

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What MAPLE Can Do for You.- 1.1 Arithmetic.- 1.2 Numerical Computations.- 1.3 Polynomials and Rational Functions.- 1.4 Trigonometry.- 1.5 Differentiation.- 1.6 Truncated Series Expansions.- 1.7 Differential Equations and Systems.- 1.8 Integration.- 1.9 Plot of Curves.- 1.10 Plot of Surfaces.-... číst celé

What MAPLE Can Do for You.- 1.1 Arithmetic.- 1.2 Numerical Computations.- 1.3 Polynomials and Rational Functions.- 1.4 Trigonometry.- 1.5 Differentiation.- 1.6 Truncated Series Expansions.- 1.7 Differential Equations and Systems.- 1.8 Integration.- 1.9 Plot of Curves.- 1.10 Plot of Surfaces.- 1.11 Linear Algebra.- 2. Introduction.- 2.1 First Steps.- 2.1.1 Keyboarding an Expression.- 2.1.2 Operators, Functions and Constants.- 2.1.3 First Computations.- 2.2 Assignment and Evaluation.- 2.2.2 Identifiers.- 2.2.3 Assignment.- 2.2.4 Free Variables and Evaluation.- 2.2.5 Full Evaluation Rule.- 2.2.6 Use of Apostrophes: Partial Evaluation.- 2.3 Evaluation of Function Arguments.- 2.3.1 Fundamental Operations.- 2.3.2 The Function expand.- 2.3.3 The Function factor.- 2.3.4 The Function normal.- 2.3.5 The Function convert in Trigonometry.- 2.3.6 First Approach to the Function simplify.- 2.3.7 Simplification of Radicals: radnormal and rationalize.- 2.3.8 The Functions collect and sort.- 2.4 First Approach to Functions.- 2.4.1 Functions of One Variable.- 2.4.2 Functions of Several Variables.- 2.4.3 The Difference Between Functions and Expressions.- 2.4.4 Links Between Expressions and Functions.- 2.5 Simplification of Power Functions.- 2.5.1 The Functions exp, In and the Exponentiation Operator.- 2.5.2 The Function simplify.- 2.5.3 The Function combine.- 3. Arithmetic.- 3.1 Divisibility.- 3.1.1 Quotient and Remainder.- 3.1.2 G.c.d. and Euclid's Algorithm.- 3.1.3 Decomposition into Prime Factors.- 3.1.4 Congruences.- 3.2 Diophantian Equations.- 3.2.1 Chinese Remainder Theorem.- 3.2.2 Solution of Equations Modulo n.- 3.2.3 Classical Equations.- 4. Real Numbers, Complex Numbers.- 4.1 The Real Numbers.- 4.1.1 Display of Real Numbers.- 4.1.2 Approximate Decimal Value of Real Numbers.- 4.2 The Complex Numbers.- 4.2.1 The Different Types of Complex Numbers.- 4.2.2 Algebraic Form of the Complex Numbers.- 4.2.3 Trigonometric Form of the Complex Numbers.- 4.2.4 Computing with Expressions with Complex Coefficients.- 4.2.5 Approximate Decimal Value of the Complex Numbers.- 5.1 Curves Defined by an Equation y = f (x).- 5.1.1 Graphic Representation of an Expression.- 5.1.2 Graphic Representation of a Function.- 5.1.3 Simultaneous Plot of Several Curves.- 5.1.4 Plot of a Family of Curves.- 5.2 The Environment of plot.- 5.2.1 The plot Menu in Windows.- 5.2.2 The Options of plot.- 5.3 Parametrized Curves in Cartesian Coordinates.- 5.3.1 Plot of a Parametrized Curve.- 5.3.2 Simultaneous Plot of Several Parametrized Curves.- 5.3.3 Plot of a Family of Parametrized Curves.- 5.4 Curves in Polar Coordinates.- 5.4.1 Plot of a Curve in Polar Coordinates.- 5.4.2 Plot of a Family of Curves in Polar Coordinates.- 5.5 Curves Defined Implicitly.- 5.5.1 Plot of a Curve Defined Implicitly.- 5.5.2 Plot of a Family of Implicit Curves.- 5.5.3 Precision of the Plot of Implicit Curves.- 5.6 Polygonal Plots.- 5.7 Mixing Drawings.- 5.7.1 How Does plot Work.- 5.7.2 The Function display.- 5.8 Animation.- 5.9 Using Logarithmic Scales.- 6. Equations and Inequations.- 6.1 Symbolic Solution: solve.- 6.1.1 Univariate Polynomial Equations.- 6.1.2 Other Equations in One Variable.- 6.1.3 Systems of Equations.- 6.1.4 Inequations.- 6.2 Approximate Solution of Equations: fsolve.- 6.2.1 Algebraic Equations in One Variable.- 6.2.2 Other Equations in One Variable.- 6.2.3 Systems of Equations.- 6.3 Solution of Recurrences: rsolve.- 6.3.1 Linear Recurrences.- 6.3.2 Homographic Recurrences.- 6.3.3 Other Recurrence Relations.- 7. Limits and Derivatives.- 7.1 Limits.- 7.1.1 Limit of Expressions.- 7.1.2 Limit of Expressions Depending on Parameters.- 7.1.3 Limit of Functions.- 7.2 Derivatives.- 7.2.1 Derivatives of Expressions in a Single Variable.- 7.2.2 Partial Derivatives of Expressions in Several Variables.- 7.2.3 Derivatives of Functions in One Variable.- 7.2.4 Partial Derivatives of Functions in Several Variables.- 8. Truncated Series Expansions.- 8.1 The Function series.- 8.1.1 Obtaining

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