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A Concise Introduction to Pure Mathematics Third Edition by Martin Liebeck ISBN 1439835985 9781439835982

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A Concise Introduction to Pure Mathematics Third Edition Martin Liebeck Digital Instant Download

Author(s): Martin Liebeck
ISBN(s): 9781439835982, 1439835985
Edition: 3
File Details: PDF, 2.52 MB
Year: 2010
Language: english
SKU: EB-4165366 Category: Tag:

A Concise Introduction to Pure Mathematics Third Edition by Martin Liebeck – Ebook PDF Instant Download/Delivery: 1439835985, 9781439835982

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Product details:

ISBN 10: 1439835985

ISBN 13: 9781439835982 

Author: Martin Liebeck

Accessible to all students with a sound background in high school mathematics, A Concise Introduction to Pure Mathematics, Third Edition presents some of the most fundamental and beautiful ideas in pure mathematics. It covers not only standard material but also many interesting topics not usually encountered at this level, such as the theory of solving cubic equations, the use of Euler’s formula to study the five Platonic solids, the use of prime numbers to encode and decode secret information, and the theory of how to compare the sizes of two infinite sets.

New to the Third Edition
The third edition of this popular text contains three new chapters that provide an introduction to mathematical analysis. These new chapters introduce the ideas of limits of sequences and continuous functions as well as several interesting applications, such as the use of the intermediate value theorem to prove the existence of nth roots. This edition also includes solutions to all of the odd-numbered exercises.

By carefully explaining various topics in analysis, geometry, number theory, and combinatorics, this textbook illustrates the power and beauty of basic mathematical concepts. Written in a rigorous yet accessible style, it continues to provide a robust bridge between high school and higher level mathematics, enabling students to study further courses in abstract algebra and analysis.

Table of contents:

  1. Sets and Proofs

  2. Number Systems

  3. Decimals

  4. Inequalities

  5. nth Roots and Rational Powers

  6. Complex Numbers

  7. Polynomial Equations

  8. Induction

  9. Euler’s Formula and Platonic Solids

  10. The Integers

  11. Prime Factorization

  12. More on Prime Numbers

  13. Congruence of Integers

  14. More on Congruence

  15. Secret Codes

  16. Counting and Choosing

  17. More on Sets

  18. Equivalence Relations

  19. Functions

  20. Permutations

  21. Infinity

  22. Introduction to Analysis: Bounds

  23. More Analysis: Limits

  24. Yet More Analysis: Continuity

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Tags: Martin Liebeck, Concise Introduction, Pure Mathematics