A concise introduction to pure mathematics
著者
書誌事項
A concise introduction to pure mathematics
（Chapman & Hall/CRC mathematics）
Chapman & Hall/CRC, 2006
2nd ed
- pbk.
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注記
Includes bibliographical references (p. 197) and indexes
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内容説明・目次
内容説明
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.
目次
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
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