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Mathematica by Example
von: Martha L. Abell, James P. Braselton
Elsevier Trade Monographs, 2003
ISBN: 9780080491790 , 571 Seiten
3. Auflage
Format: PDF
Kopierschutz: DRM
Preis: 70,95 EUR
Cover
1
Copyright Page
5
Contents
6
Preface
10
Chapter 1. Getting Started
14
1.1 Introduction to Mathematica
14
1.2 Loading Packages
23
1.3 Getting Help from Mathematica
27
Chapter 2. Basic Operations on Numbers, Expressions, and Functions
36
2.1 Numerical Calculations and Built-In Functions
36
2.2 Expressions and Functions: Elementary Algebra
44
2.3 Graphing Functions, Expressions, and Equations
58
2.4 Solving Equations
94
Chapter 3. Calculus
110
3.1 Limits
110
3.2 Differential Calculus
117
3.3 Integral Calculus
154
3.4 Series
186
3.5 Multi-Variable Calculus
211
Chapter 4. Introduction to Lists and Tables
242
4.1 Lists and List Operations
242
4.2 Manipulating Lists: More on Part and Map
261
4.3 Mathematics of Finance
280
4.4 Other Applications
300
Chapter 5. Matrices and Vectors
340
5.1 Nested Lists: Introduction to Matrices, Vectors, and Matrix Operations
340
5.2 Linear Systems of Equations
362
5.3 Selected Topics from Linear Algebra
375
5.4 Maxima and Minima Using Linear Programming
397
5.5 Selected Topics from Vector Calculus
406
Chapter 6. Applications Related to Ordinary and Partial Differential Equations
442
6.1 First-Order Differential Equations
442
6.2 Second-Order Linear Equations
467
6.3 Higher-Order Linear Equations
483
6.4 Systems of Equations
511
6.5 Some Partial Differential Equations
551
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