Mathematics

This is the expanded version of the earlier highly successful book, "Fuzzy Sets, Uncertainty and Information", reflecting the tremendous advances that have taken place subsequently. The primary purpose of this book is to provide the student with a comprehensive coverage of theoretical foundations of... More

Since the famous Polish school of mathematicians (Steinhaus, Banach, and Knaster) introduced and described algorithms for the fair division problem in the 1940’s, the concept has been widely popularized. This book finally gathers into one readable and inclusive source a comprehensive discussion of... More

This is the first book devoted entirely to Particle Swarm Optimization (PSO), which is a non-specific algorithm, similar to evolutionary algorithms, such as taboo search and ant colonies. Since its original development in 1995, PSO has mainly been applied to continuous-discrete heterogeneous strong... More

Instant Notes in Ecology provides concise yet comprehensive coverge of ecology at undergraduate level, enabling easy access to the core information in the field. The book covers all the important areas of ecology in a format that is ideal for learning and rapid revision. If you are studying ecology ... More

Worked examples are said to be one of the best features of this text. The text also provides comprehensive coverage of material from general field problems as well heat transfer, fluid mechanics and solid and structural mechanics (bars, beams, frames, plane elasticity and plate bending). There is a... More

Creative thinking, deductive reasoning and puzzle solving are all excellent areas for building up your mental muscle. The Boost your Brainpower series gives your brain the opportunity for serious regular exercise. Philip Carter and Ken Russell are UK Mensa Magazine Puzzle editors and are thus perfec... More

The twentieth century was a time of unprecedented development in mathematics, as well as in all sciences: more theorems were proved and results found in a hundred years than in all of previous history. In this book, the author distills this unwieldy mass of knowledge into a fascinating and authorita... More

This book aims to inspire people by the beauty of mathematics and not necessarily its usefulness, as is most often the case when trying to motivate youngsters to the subject. When one meets people socially and they discover that one's field of interest is mathematics, we are usually confronted with ... More

The book provides an integrated approach to finite elements, combining theory, a variety of examples and exercise problems from engineering applications, and the implementation of the theory in complete self-contained computer programs. It serves as a textbook for senior undergraduate and first-year... More

Preface to the Fourth Edition 1. The Integers 2. Rational Numbers and Fields 3. Polynomials 4. Real Numbers 5. Complex Numbers 6. Groups 7. Vectors and Vector Spaces 8. The Algebra of Matrices 9. Linear Groups 10. Determinants and Canonical Forms 11. Boolean Algebras and Lattices 12. Tra... More

Truly a treat for Martin Gardner’s many fans, the articles span a wide range of topics. They include games of chance (and why a “computer” will always beat a human player), word ladders and mathematical word play games, tiling puzzles, magic squares, computer and calculator “magic” tricks,... More

This Second Edition of a standard numerical analysis text retains organization of the original edition, but all sections have been revised, some extensively, and bibliographies have been updated. New topics covered include optimization, trigonometric interpolation and the fast Fourier transform, num... More