240 Pages
25 B/W Illustrations
by
Chapman & Hall
240 Pages
by
Chapman & Hall
240 Pages
25 B/W Illustrations
by
Chapman & Hall
Also available as eBook on:
As discrete mathematics rapidly becomes a required element of undergraduate mathematics programs, algebraic software systems replace compiled languages and are now most often the computational tool of choice. Newcomers to university level mathematics, therefore, must not only grasp the fundamentals of discrete mathematics, they must also learn to use an algebraic manipulator and develop skills in... Read more
WHAT IS MAPLE?
INTEGERS AND RATIONALS
Integers
Arithmetical Expressions
Some Maple
Divisibility
Rationals
Primes
Standard Library Functions
SETS AND FUNCTIONS
Sets
Sets with Maple
Functions
User-Defined Functions
SEQUENCES
Basics
Sequences with Maple
Plotting the Elements of a Sequence
Periodic and Eventually Periodic Sequences
Some Non-Periodic Sequences
Basic Counting Sequences
Sequences Defined Recursively
REAL AND COMPLEX NUMBERS
Digits of Rationals
Real Numbers
Random and Pseudo-Random Digits
Complex Numbers
Standard Library Functions
STRUCTURE OF EXPRESSIONS
Analysis of an Expression
More on Substitutions
Functions Acting on Operands of Expressions
POLYNOMIALS AND RATIONAL FUNCTIONS
Polynomials
Polynomial Arithmetic
Rational Functions
Manipulating Polynomials and Rational Functions
Partial Fractions Decomposition
FINITE SUMS AND PRODUCTS
Basics
Sums and Products with Maple
Symbolic Evaluation of Sums and Products
Double Sums and Products
Sums and Products as Recursive Sequences
ELEMENTS OF PROGRAMMING
Iteration
Study of an Eventually Periodic Sequence
Conditional Execution
Procedures
VECTOR SPACES
Cartesian Product of Sets
Vector Spaces
Vectors with Maple
Matrices
Matrices with Maple
MODULAR ARITHMETIC
A Modular System
Arithmetic of Equivalence Classes
Some Arithmetical Constructions in Fp
SOME ABSTRACT STRUCTURES
The Axioms of Arithmetic
Metric Spaces
Rings and Fields
Vector Spaces
INTEGERS AND RATIONALS
Integers
Arithmetical Expressions
Some Maple
Divisibility
Rationals
Primes
Standard Library Functions
SETS AND FUNCTIONS
Sets
Sets with Maple
Functions
User-Defined Functions
SEQUENCES
Basics
Sequences with Maple
Plotting the Elements of a Sequence
Periodic and Eventually Periodic Sequences
Some Non-Periodic Sequences
Basic Counting Sequences
Sequences Defined Recursively
REAL AND COMPLEX NUMBERS
Digits of Rationals
Real Numbers
Random and Pseudo-Random Digits
Complex Numbers
Standard Library Functions
STRUCTURE OF EXPRESSIONS
Analysis of an Expression
More on Substitutions
Functions Acting on Operands of Expressions
POLYNOMIALS AND RATIONAL FUNCTIONS
Polynomials
Polynomial Arithmetic
Rational Functions
Manipulating Polynomials and Rational Functions
Partial Fractions Decomposition
FINITE SUMS AND PRODUCTS
Basics
Sums and Products with Maple
Symbolic Evaluation of Sums and Products
Double Sums and Products
Sums and Products as Recursive Sequences
ELEMENTS OF PROGRAMMING
Iteration
Study of an Eventually Periodic Sequence
Conditional Execution
Procedures
VECTOR SPACES
Cartesian Product of Sets
Vector Spaces
Vectors with Maple
Matrices
Matrices with Maple
MODULAR ARITHMETIC
A Modular System
Arithmetic of Equivalence Classes
Some Arithmetical Constructions in Fp
SOME ABSTRACT STRUCTURES
The Axioms of Arithmetic
Metric Spaces
Rings and Fields
Vector Spaces
Biography
Franco Vivaldi is Professor of Applied Mathematics at Queen Mary University of London. His research interests include maps over arithmetical sets (finite fields, p-adic and algebraic numbers), piecewise isometries, space discretization and round-off errors.
