Download E-books Mathematica®: A Problem-Centered Approach (Springer Undergraduate Mathematics Series) PDF

By Roozbeh Hazrat

An advent to the great array of positive factors and strong mathematical features of Mathematica that makes use of a large number of essentially provided examples and worked-out difficulties that allow the reader to benefit from the codes and avoids long factors.

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2. 6 Equalities =, :=, == . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2. 7 Dynamic variables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . three. Defining services . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . forty nine three. 1 formulation as features . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . forty nine three. 2 nameless features . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . fifty eight four. Lists . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . four. 1 features generating lists . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . four. 2 Listable services . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . four. three determining from an inventory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . five. altering heads! . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ninety five 27 27 34 37 forty forty-one forty three forty five sixty one sixty nine seventy four seventy eight xx Contents 6. slightly common sense and set thought . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 103 6. 1 Being logical . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 103 6. 2 dealing with units . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 107 6. three selection making, If and Which . . . . . . . . . . . . . . . . . . . . . . . . . . . . . a hundred and ten 7. Sums and items . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 114 7. 1 Sum . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 114 7. 2 Product . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 119 eight. Loops and repetitions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 122 eight. 1 Do, For some time . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 122 eight. 2 Nested loops . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 132 eight. three Nest, NestList and extra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . one hundred thirty five eight. four Fold and FoldList . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 141 eight. five internal and Outer . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 143 nine. Substitution, Mathematica principles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 149 10. trend matching . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . a hundred and fifty five eleven. features with a number of definitions . . . . . . . . . . . . . . . . . . . . . . . . . 173 eleven. 1 features with neighborhood variables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 182 eleven. 2 features with stipulations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 184 eleven. three services with default values . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 186 12. Recursive services . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 187 thirteen. Linear algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 197 thirteen. 1 Vectors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 197 thirteen. 2 Matrices . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 198 14. photos . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 205 14. 1 Two-dimensional graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 205 14. 2 three-d graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 224 14. three Plotting info . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 230 15. Calculus and equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 235 15. 1 fixing equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 235 15. 2 Calculus . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 247 sixteen. labored out tasks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 259 sixteen. 1 altering of graphs and symbolic dynamics . . . . . . . . . . . . . . . . . . 259 sixteen. 2 Partitioned binary relatives . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 267 Contents xxi sixteen. three Persian recursions . . . . . . . . . . . . . . . . . .

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