Download E-books Mathematical Problems and Proofs: Combinatorics, Number Theory, and Geometry PDF

A gradual advent to the hugely subtle global of discrete arithmetic, Mathematical difficulties and Proofs provides themes starting from straight forward definitions and theorems to complicated themes -- reminiscent of cardinal numbers, producing services, homes of Fibonacci numbers, and Euclidean set of rules. this wonderful primer illustrates greater than a hundred and fifty suggestions and proofs, completely defined in transparent language. The beneficiant old references and anecdotes interspersed through the textual content create attention-grabbing intermissions that will gas readers' eagerness to inquire extra concerning the subject matters and a few of our best mathematicians. the writer courses readers via the method of fixing enigmatic proofs and difficulties, and assists them in making the transition from challenge fixing to theorem proving.
right away a considered necessary textual content and an stress-free learn, Mathematical Problems and Proofs is a superb entrée to discrete arithmetic for complicated scholars drawn to arithmetic, engineering, and technology.

Show description

Read or Download Mathematical Problems and Proofs: Combinatorics, Number Theory, and Geometry PDF

Similar Combinatorics books

Difference Equations, Second Edition: An Introduction with Applications

Distinction Equations, moment variation, provides a pragmatic advent to this crucial box of recommendations for engineering and the actual sciences. subject insurance comprises numerical research, numerical equipment, differential equations, combinatorics and discrete modeling. an indicator of this revision is the varied software to many subfields of arithmetic.

Finite Projective Spaces of Three Dimensions (Oxford Mathematical Monographs)

This self-contained and hugely targeted examine considers projective areas of 3 dimensions over a finite box. it's the moment and middle 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 complicated numbers and subject matters that come up out of the fashionable idea of occurrence buildings.

Intuitive Combinatorial Topology (Universitext)

Topology is a comparatively younger and intensely very important department of arithmetic, which reports the houses of gadgets which are preserved via deformations, twistings, and stretchings. This e-book bargains with the topology of curves and surfaces in addition to with the basic thoughts of homotopy and homology, and does this in a full of life and well-motivated means.

Constructive Combinatorics (Undergraduate Texts in Mathematics)

The notes that finally grew to become this publication have been written among 1977 and 1985 for the direction referred to as confident Combinatorics on the collage of Minnesota. it is a one-quarter (10 week) direction for higher point undergraduate scholars. the category often includes arithmetic and laptop technology majors, with an occasional engineering scholar.

Additional info for Mathematical Problems and Proofs: Combinatorics, Number Theory, and Geometry

Show sample text content

Rated 4.79 of 5 – based on 25 votes