Concise Introduction to Pure Mathematics 4th Liebeck Solution Manual

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Product details:

• ISBN-10 ‏ : ‎ 149872292X
• ISBN-13 ‏ : ‎ 978-1498722926
• Author: Martin Liebeck

Accessible to all students with a sound background in high school mathematics, A Concise Introduction to Pure Mathematics, Fourth 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; Euler’s formula for the numbers of corners, edges, and faces of a solid object and the five Platonic solids; the use of prime numbers to encode and decode secret information; the theory of how to compare the sizes of two infinite sets; and the rigorous theory of limits and continuous functions.

Table of contents:

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. Introduction to abstract algebra: groups. More on groups. Further Reading.

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