The pattern calculus is a new foundation for computation, in which the expressive power of functions and of data structures are combined within pattern-matching functions. The best existing foundations focus on either functions, as in the lambda-calculus, or on data structures, as in Turing machines, or on compromises involving both, as in...

University mathematics departments have for many years offered courses with titles such as Advanced Calculus or Introductory Real Analysis.The se courses are taken by a variety of students, serve a number of purposes, and are written at various levels of sophistication.T he students range from ones who have just completed a course in...

If you want just one complete reference on web design, this book is it. The newest edition of this essential guide features 650+ pages on the latest tools and new web design standards, such as HTML5, CSS 3, and other core technologies and page-building strategies....

This book provides insight and enhanced appreciation of analysis, modeling and control of dynamic systems. The reader is assumed to be familiar with calculus, physics and some programming skills. It might develop the reader’s ability to interpret physical significance of mathematical results in system analysis. The book also prepares...

This book explores the role of Martin-Lof s constructive type theory in computer programming. The main focus of the book is how the theory can be successfully applied in practice. Introductory sections provide the necessary background in logic, lambda calculus and constructive mathematics, and exercises and chapter summaries are included to...

This book addresses some of the key questions that scientists have been asking themselves for centuries: what is knowledge? What is information? How do we know that we know something? How do we construct meaning from the perceptions of things? Although no consensus exists on a common definition of the concepts of information and...

The book explores how build a mechanical inferences by making use of arithmetic operations on a string of numbers representing statements. In this way logic is reduced to a branch of the combinatory calculus. It covers the field of traditional logic by showing that any kind of inference can be mechanically reduced to three-variables and...

This book is an introduction to the theories of Special and General Relativity. The target audience are physicists, engineers and applied scientists who are looking for an understandable introduction to the topic - without too much new mathematics. The fundamental equations of Einstein's theory of Special and General Relativity are...