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CRC Concise Encyclopedia of Mathematics
Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d
Algorithmic and Architectural Gaming Design: Implementation and Development
Video games represent a unique blend of programming, art, music, and unbridled creativity. To the general public, they are perhaps the most exciting computer applications ever undertaken. In the field of computer science, they have been the impetus for a continuous stream of innovations designed to provide gaming enthusiasts with the most realistic and enjoyable gaming experience possible. Algorithmic and Architectural Gaming Design: Implementation and Development discusses the most recent advances in the field of video game design, with particular emphasis on practical examples of game development, including design and implementation. The target audience of this book includes educators, students, practitioners, professionals, and researchers working in the area of video game design and development. Anyone actively developing video games will benefit from the practical application of fundamental computer science concepts demonstrated in this book.
Modern X86 Assembly Language Programming
Gain the fundamentals of x86 64-bit assembly language programming and focus on the updated aspects of the x86 instruction set that are most relevant to application software development. This book covers topics including x86 64-bit programming and Advanced Vector Extensions (AVX) programming. The focus in this second edition is exclusively on 64-bit base programming architecture and AVX programming. Modern X86 Assembly Language Programming’s structure and sample code are designed to help you quickly understand x86 assembly language programming and the computational capabilities of the x86 platform. After reading and using this book, you’ll be able to code performance-enhancing functions a...
A Passion for Mathematics
A Passion for Mathematics is an educational, entertaining trip through the curiosities of the math world, blending an eclectic mix of history, biography, philosophy, number theory, geometry, probability, huge numbers, and mind-bending problems into a delightfully compelling collection that is sure to please math buffs, students, and experienced mathematicians alike. In each chapter, Clifford Pickover provides factoids, anecdotes, definitions, quotations, and captivating challenges that range from fun, quirky puzzles to insanely difficult problems. Readers will encounter mad mathematicians, strange number sequences, obstinate numbers, curious constants, magic squares, fractal geese, monkeys typing Hamlet, infinity, and much, much more. A Passion for Mathematics will feed readers’ fascination while giving them problem-solving skills a great workout!
The Mathematica GuideBook for Programming
This comprehensive, detailed reference provides readers with both a working knowledge of Mathematica in general and a detailed knowledge of the key aspects needed to create the fastest, shortest, and most elegant implementations possible. It gives users a deeper understanding of Mathematica by instructive implementations, explanations, and examples from a range of disciplines at varying levels of complexity. The three volumes -- Programming, Graphics, and Mathematics, total 3,000 pages and contain more than 15,000 Mathematica inputs, over 1,500 graphics, 4,000+ references, and more than 500 exercises. This first volume begins with the structure of Mathematica expressions, the syntax of Mathematica, its programming, graphic, numeric and symbolic capabilities. It then covers the hierarchical construction of objects out of symbolic expressions, the definition of functions, the recognition of patterns and their efficient application, program flows and program structuring, and the manipulation of lists. An indispensible resource for students, researchers and professionals in mathematics, the sciences, and engineering.
Excursions in Mathematics
This lively and accessible exploration of the nature of mathematics examines the role of the mathematician as well as the four major branches: number theory, algebra, geometry, and analysis.
Squigonometry: The Study of Imperfect Circles
This textbook introduces generalized trigonometric functions through the exploration of imperfect circles: curves defined by |x|p + |y|p = 1 where p ≥ 1. Grounded in visualization and computations, this accessible, modern perspective encompasses new and old results, casting a fresh light on duality, special functions, geometric curves, and differential equations. Projects and opportunities for research abound, as we explore how similar (or different) the trigonometric and squigonometric worlds might be. Comprised of many short chapters, the book begins with core definitions and techniques. Successive chapters cover inverse squigonometric functions, the many possible re-interpretations of Ï...
Approaches to Geo-mathematical Modelling
Geo-mathematical modelling: models from complexity science Sir Alan Wilson, Centre for Advanced Spatial Analysis, University College London Mathematical and computer models for a complexity science tool kit Geographical systems are characterised by locations, activities at locations, interactions between them and the infrastructures that carry these activities and flows. They can be described at a great variety of scales, from individuals and organisations to countries. Our understanding, often partial, of these entities, and in many cases this understanding is represented in theories and associated mathematical models. In this book, the main examples are models that represent elements of th...
Weird Scientists – the Creators of Quantum Physics
Weird Scientists is a sequel to Men of Manhattan. As I wrote the latter about the nuclear physicists who brought in the era of nuclear power, quantum mechanics (or quantum physics) was unavoidable. Many of the contributors to the science of splitting the atom were also contributors to quantum mechanics. Atomic physics, particle physics, quantum physics, and even relativity are all interrelated. This book is about the men and women who established the science that shook the foundations of classical physics, removed determinism from measurement, and created alternative worlds of reality. The book introduces fundamental concepts of quantum mechanics, roughly in the order they were discovered, as a launching point for describing the scientist and the work that brought forth the concepts.
