Home | Amazing | Today | Tags | Publishers | Years | Account | Search 
New Computational Paradigms: Changing Conceptions of What is Computable

Buy
In recent years, classical computability has expanded beyond its original scope to address issues related to computability and complexity in algebra, analysis, and physics. The deep interconnection between "computation" and "proof" has originated much of the most significant work in constructive mathematics and mathematical logic of the last 70 years. Moreover, the increasingly compelling necessity to deal with computability in the real world (such as computing on continuous data, biological computing, and physical models) has brought focus to new paradigms of computation that are based on biological and physical models. These models address questions of efficiency in a radically new way and even threaten to move the so-called Turing barrier, i.e. the line between the decidable and the un-decidable.

This book examines new developments in the theory and practice of computation from a mathematical perspective, with topics ranging from classical computability to complexity, from biocomputing to quantum computing. The book opens with an introduction by Alan Hodges, the Turing biographer, who analyzes the pioneering work that anticipated recent developments concerning computations allegedly new paradigms. The remaining material covers traditional topics in computability theory such as relative computability, theory of numberings, and domain theory, in addition to topics on the relationships between proof theory, computability, and complexity theory. New paradigms of computation arising from biology and quantum physics are also discussed, as well as the computability of the real numbers and its related issues.

This book is suitable for researchers and graduate students in mathematics, philosophy, and computer science with a special interest in logic and foundational issues. Most useful to graduate students are the survey papers on computable analysis and biological computing. Logicians and theoretical physicists will also benefit from this book.

(HTML tags aren't allowed.)

History and Evolution of Concepts in Physics
History and Evolution of Concepts in Physics

Our understanding of nature, and in particular of physics and the laws governing it, has changed radically since the days of the ancient Greek natural philosophers. This book explains how and why these changes occurred, through landmark experiments as well as theories that - for their time - were revolutionary. The presentation covers...

Challenges of Information Technology Education in the 21st Century
Challenges of Information Technology Education in the 21st Century
When teaching in the area of Information Technology, it is necessary to constantly update curriculum, to deal with new challenges brought forth by students, and to modify teaching methods to accommodate these new situations. Challenges of Information Technology Education in the 21st Century strives to address a variety of pertinent questions...
Atlas of Atherosclerosis and Metabolic Syndrome
Atlas of Atherosclerosis and Metabolic Syndrome

This new edition is an integral source of information on Atherosclerosis. It covers topics such as newer coronary risk factors, high-density lipoprotein metabolism, lipid-lowering drugs, endothelium and thrombosis in atherogenesis, and contributing risk factors. With over 500 exceptional photographs, diagrams, and charts, each chapter...


Understanding ECMAScript 6: The Definitive Guide for JavaScript Developers
Understanding ECMAScript 6: The Definitive Guide for JavaScript Developers

ECMAScript 6 represents the biggest update to the core of JavaScript in the history of the language. In Understanding ECMAScript 6, expert developer Nicholas C. Zakas provides a complete guide to the object types, syntax, and other exciting changes that ECMAScript 6 brings to JavaScript. Every chapter is packed with example code that...

Computer Vision in Human-Computer Interaction: ECCV 2004 Workshop on HCI, Prague, Czech Republic, May 16, 2004
Computer Vision in Human-Computer Interaction: ECCV 2004 Workshop on HCI, Prague, Czech Republic, May 16, 2004
Human-Computer Interaction (HCI) lies at the crossroads of many scientific areas including artificial intelligence, computer vision, face recognition, motion tracking, etc. In order for HCI systems to interact seamlessly with people, they need to understand their environment through vision and auditory input. Moreover, HCI systems should learn how...
Beginning MySQL (Programmer to Programmer)
Beginning MySQL (Programmer to Programmer)
As the most popular open source database system in the world, MySQL boasts ease of implementation, minimal overhead, consistent reliability, and low total cost of ownership. This hands-on resource offers you a complete look at MySQL and explains how to implement MySQL and access MySQL with various programming languages.

Using a task-oriented...

©2019 LearnIT (support@pdfchm.net) - Privacy Policy