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A Concise Introduction to Pure Mathematics

Martin Liebeck
Publisher: 
Chapman & Hill/CRC
Publication Date: 
2010
Number of Pages: 
252
Format: 
Paperback
Edition: 
3
Price: 
59.95
ISBN: 
9781439835982
Category: 
Textbook
[Reviewed by
Fernando Q. Gouvêa
, on
10/26/2010
]

See our review of the second edition. The most significant change for the third edition is that full solutions of the odd-numbered problems are now included.

Sets and Proofs

Number Systems

Decimals

Inequalities

nth Roots and Rational Powers

Complex Numbers

Polynomial Equations

Induction

Euler’s Formula and Platonic Solids

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

Introduction to Analysis: Bounds

More Analysis: Limits

Yet More Analysis: Continuity

Solutions to Odd-Numbered Exercises

Further Reading

Index of Symbols

Index