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EbookNice Team
Status:
Available4.4
9 reviews
ISBN-10 : 0306469634
ISBN-13 : 9780306469633
Author: Branislav Kisacanin
A gentle introduction to the highly sophisticated world of discrete mathematics, Mathematical Problems and Proofs presents topics ranging from elementary definitions and theorems to advanced topics -- such as cardinal numbers, generating functions, properties of Fibonacci numbers, and Euclidean algorithm. This excellent primer illustrates more than 150 solutions and proofs, thoroughly explained in clear language. The generous historical references and anecdotes interspersed throughout the text create interesting intermissions that will fuel readers' eagerness to inquire further about the topics and some of our greatest mathematicians. The author guides readers through the process of solving enigmatic proofs and problems, and assists them in making the transition from problem solving to theorem proving. At once a requisite text and an enjoyable read, Mathematical Problems and Proofs is an excellent entrée to discrete mathematics for advanced students interested in mathematics, engineering, and science.
1. Set Theory...
1.1. Sets and Elementary Set Operations
1.2. Cartesian Product and Relations
1.3. Functions and Operations
1.4. Cardinality
1.5. Problems
2. Combinatorics
2.1. Four Enumeration Principles
2.2. Introductory Problems
2.3. Basic Definitions
2.4. Generating Functions
2.5. Problems
3. Number Theory
3.1. Divisibility of Numbers
3.2. Important Functions in Number Theory
3.3. Congruences
3.4. Diophantine Equations
3.5. Problems
4. Geometry
4.1. Properties of Triangles
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Tags: Mathematical, Problems, Proofs, Combinatorics, Number Theory, Geometry, Branislav Kisacanin
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