By Titu Andreescu

This introductory textbook takes a problem-solving method of quantity thought, situating each one thought in the framework of an instance or an issue for fixing. beginning with the necessities, the textual content covers divisibility, precise factorization, modular mathematics and the chinese language the rest Theorem, Diophantine equations, binomial coefficients, Fermat and Mersenne primes and different exact numbers, and targeted sequences. incorporated are sections on mathematical induction and the pigeonhole precept, in addition to a dialogue of different quantity platforms. via emphasizing examples and purposes the authors inspire and have interaction readers.

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Difference Equations, Second Edition: An Introduction with Applications

Distinction Equations, moment variation, offers a pragmatic advent to this significant box of ideas for engineering and the actual sciences. subject assurance contains numerical research, numerical tools, differential equations, combinatorics and discrete modeling. a trademark of this revision is the varied program to many subfields of arithmetic.

Finite Projective Spaces of Three Dimensions (Oxford Mathematical Monographs)

This self-contained and hugely distinct learn considers projective areas of 3 dimensions over a finite box. it's the moment and center quantity of a three-volume treatise on finite projective areas, the 1st quantity being Projective Geometrics Over Finite Fields (OUP, 1979). the current paintings restricts itself to 3 dimensions, and considers either themes that are analogous of geometry over the advanced numbers and themes that come up out of the fashionable thought of prevalence constructions.

Mathematical Problems and Proofs: Combinatorics, Number Theory, and Geometry

A gradual advent to the hugely refined international of discrete arithmetic, Mathematical difficulties and Proofs provides subject matters starting from user-friendly definitions and theorems to complex themes -- reminiscent of cardinal numbers, producing services, homes of Fibonacci numbers, and Euclidean set of rules.

Intuitive Combinatorial Topology (Universitext)

Topology is a comparatively younger and intensely vital department of arithmetic, which reviews the houses of items which are preserved via deformations, twistings, and stretchings. This booklet bargains with the topology of curves and surfaces in addition to with the elemental strategies of homotopy and homology, and does this in a full of life and well-motivated approach.

Extra resources for Number Theory: Structures, Examples, and Problems

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