Rudiments of Mathematics Part 1
Author | : |
Publisher | : Academic Publishers |
Total Pages | : 956 |
Release | : |
Genre | : |
ISBN | : 9788189781545 |
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Author | : |
Publisher | : Academic Publishers |
Total Pages | : 956 |
Release | : |
Genre | : |
ISBN | : 9788189781545 |
Author | : |
Publisher | : Academic Publishers |
Total Pages | : 1014 |
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ISBN | : 9788189781743 |
Author | : |
Publisher | : Academic Publishers |
Total Pages | : 832 |
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ISBN | : 9788189781354 |
Author | : |
Publisher | : Academic Publishers |
Total Pages | : 810 |
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ISBN | : 9788189781583 |
Author | : |
Publisher | : |
Total Pages | : 1018 |
Release | : 2006 |
Genre | : |
ISBN | : 9788189781019 |
Author | : A. Arnold |
Publisher | : Elsevier |
Total Pages | : 297 |
Release | : 2001-02-07 |
Genre | : Computers |
ISBN | : 0080516459 |
This book presents what in our opinion constitutes the basis of the theory of the mu-calculus, considered as an algebraic system rather than a logic. We have wished to present the subject in a unified way, and in a form as general as possible. Therefore, our emphasis is on the generality of the fixed-point notation, and on the connections between mu-calculus, games, and automata, which we also explain in an algebraic way. This book should be accessible for graduate or advanced undergraduate students both in mathematics and computer science. We have designed this book especially for researchers and students interested in logic in computer science, comuter aided verification, and general aspects of automata theory. We have aimed at gathering in a single place the fundamental results of the theory, that are currently very scattered in the literature, and often hardly accessible for interested readers. The presentation is self-contained, except for the proof of the Mc-Naughton's Determinization Theorem (see, e.g., [97]. However, we suppose that the reader is already familiar with some basic automata theory and universal algebra. The references, credits, and suggestions for further reading are given at the end of each chapter.
Author | : M.N. Mukherjee, P. Mukhopadhyay,S. Sinha Roy, & U. Dasgupta |
Publisher | : |
Total Pages | : |
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ISBN | : 9788189781064 |
Author | : William LUDLAM |
Publisher | : |
Total Pages | : 250 |
Release | : 1790 |
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ISBN | : |
Author | : Raymond Nickerson |
Publisher | : Taylor & Francis |
Total Pages | : 597 |
Release | : 2011-02-25 |
Genre | : Psychology |
ISBN | : 1136945393 |
The development of mathematical competence -- both by humans as a species over millennia and by individuals over their lifetimes -- is a fascinating aspect of human cognition. This book explores when and why the rudiments of mathematical capability first appeared among human beings, what its fundamental concepts are, and how and why it has grown into the richly branching complex of specialties that it is today. It discusses whether the ‘truths’ of mathematics are discoveries or inventions, and what prompts the emergence of concepts that appear to be descriptive of nothing in human experience. Also covered is the role of esthetics in mathematics: What exactly are mathematicians seeing when they describe a mathematical entity as ‘beautiful’? There is discussion of whether mathematical disability is distinguishable from a general cognitive deficit and whether the potential for mathematical reasoning is best developed through instruction. This volume is unique in the vast range of psychological questions it covers, as revealed in the work habits and products of numerous mathematicians. It provides fascinating reading for researchers and students with an interest in cognition in general and mathematical cognition in particular. Instructors of mathematics will also find the book’s insights illuminating.
Author | : E. T. Bell |
Publisher | : Courier Corporation |
Total Pages | : 657 |
Release | : 2012-09-11 |
Genre | : Mathematics |
ISBN | : 0486152286 |
Time-honored study by a prominent scholar of mathematics traces decisive epochs from the evolution of mathematical ideas in ancient Egypt and Babylonia to major breakthroughs in the 19th and 20th centuries. 1945 edition.