A Concise Introduction to Pure Mathematics - Brossura

Liebeck, Martin

 
9781584885474: A Concise Introduction to Pure Mathematics

Sinossi

A Concise Introduction to Pure Mathematics, Second Edition provides a robust bridge between high school and university mathematics, expanding upon basic topics in ways that will interest first-year students in mathematics and related fields and stimulate further study. Divided into 22 short chapters, this textbook offers a selection of exercises ranging from routine calculations to quite challenging problems.

The author discusses real and complex numbers and explains how these concepts are applied in solving natural problems. He introduces topics in analysis, geometry, number theory, and combinatorics.

What's New in the Second Edition:

  • Contains extra material concerning prime numbers, forming the basis for data encryption
  • Explores "Secret Codes" - one of today's most spectacular applications of pure mathematics
  • Discusses Permutations and their importance in many topics in discrete mathematics

    The textbook allows for the design of courses with various points of emphasis, because it can be divided into four fairly independent sections related to: an introduction to number systems and analysis; theory of the integers; an introduction to discrete mathematics; and functions, relations, and countability.
  • Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

    Contenuti

    Sets and Proofs
    Number Systems
    Decimals
    Inequalities
    nth Roots and Rational Powers
    Complex Numbers
    Polynomial Equations
    Induction
    Euler's Formula and Platonic Solids
    Introduction to Analysis
    The Integers
    Prime Factorization
    More on Prime Numbers
    Congruence of Integers
    More on Congruence
    Secret Codes
    Counting and Choosing
    More on Sets
    Equivalence Relations
    Functions
    Permutations
    Infinity
    Further Reading
    Index of Symbols

    Product Description

    Book by Liebeck Martin

    Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.