Mathematica : A Problem-Centered Approach

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Preface to the second edition Preface to the first edition How to use this book Suggested Course Outlines The Mathematica philosophy Contents 1 Introduction 1.1 Basic calculations 1.2 Graphics 1.3 Handling data 1.4 Linear algebra 1.5 Calculus 2 Basics 2.1 Mathematica as a calculator 2.2 Numbers 2.3 Algebraic computations 2.4 Trigonometric computations 2.5 Variables 2.6 Equalities =, :=, == 2.7 Dynamic variables 3 Defining functions 3.1 Formulas as functions 3.2 Anonymous functions 4 Lists 4.1 Functions producing lists 4.2 Listable functions 4.3 Selecting from a list 5 Changing heads! 6 A bit of logic and set theory 6.1 Being logical 6.2 Handling sets 6.3 Decision making, If and Which 7 Sums and products 7.1 Sum 7.2 Product 8 Loops and repetitions 8.1 Do, For a While 8.2 Nested loops 8.3 Nest, NestList and more 8.4 Fold and FoldList 8.5 Inner and Outer 9 Substitution, Mathematica rules 10 Pattern matching 11 Functions with multiple definitions 11.1 Functions with local variables 11.2 Functions with conditions 11.3 Functions with default values 12 Recursive functions 13 Linear algebra 13.1 Vectors 13.2 Matrices 14 Graphics 14.1 Two-dimensional graphs 14.2 Three-dimensional graphs 15 Calculus and equations 15.1 Solving equations 15.2 Calculus 16 Worked out projects 16.1 Changing of graphs and dymbolic dynamics 16.2 Partitioned binary relations 16.3 Persian recursions 17 Projects 17.1 Projects A 17.2 Projects B 18 Solutions to the Exercises Further reading Bibliography Index