Author:
Publisher: Academic Publishers
ISBN: 9788189781545
Category :
Languages : en
Pages : 956

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Book Description

Author:
Publisher: Academic Publishers
ISBN: 9788189781743
Category :
Languages : en
Pages : 1014

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Book Description

Author:
Publisher: Academic Publishers
ISBN: 9788189781583
Category :
Languages : en
Pages : 810

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Book Description

Author: A. Arnold
Publisher: Elsevier
ISBN: 0080516459
Category : Computers
Languages : en
Pages : 297

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Book Description
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: E. T. Bell
Publisher: Courier Corporation
ISBN: 0486152286
Category : Mathematics
Languages : en
Pages : 657

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Book Description
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.

Author: Norman T. Hamilton
Publisher: Courier Dover Publications
ISBN: 0486830470
Category : Mathematics
Languages : en
Pages : 289

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Book Description
This text is formulated on the fundamental idea that much of mathematics, including the classical number systems, can best be based on set theory. 1961 edition.

Author: Joseph Priestley
Publisher:
ISBN:
Category : English language
Languages : en
Pages : 238

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Book Description

Author: Victor H. Moll
Publisher: American Mathematical Soc.
ISBN: 0821887955
Category : Mathematics
Languages : en
Pages : 530

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Book Description
New mathematics often comes about by probing what is already known. Mathematicians will change the parameters in a familiar calculation or explore the essential ingredients of a classic proof. Almost magically, new ideas emerge from this process. This book examines elementary functions, such as those encountered in calculus courses, from this point of view of experimental mathematics. The focus is on exploring the connections between these functions and topics in number theory and combinatorics. There is also an emphasis throughout the book on how current mathematical software can be used to discover and interesting properties of these functions. The book provides a transition between elementary mathematics and more advanced topics, trying to make this transition as smooth as possible. Many topics occur in the book, but they are all part of a bigger picture of mathematics. By delving into a variety of them, the reader will develop this broad view. The large collection of problems is an essential part of the book. The problems vary from routine verifications of facts used in the text to the exploration of open questions. Book jacket.

Author:
Publisher: Academic Publishers
ISBN: 9788189781354
Category :
Languages : en
Pages : 832

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Book Description

Author: Kazuya Kato
Publisher: American Mathematical Soc.
ISBN: 9780821808634
Category : Mathematics
Languages : en
Pages : 180

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Book Description
This is the English translation of the original Japanese book. In this volume, "Fermat's Dream", core theories in modern number theory are introduced. Developments are given in elliptic curves, $p$-adic numbers, the $\zeta$-function, and the number fields. This work presents an elegant perspective on the wonder of numbers. Number Theory 2 on class field theory, and Number Theory 3 on Iwasawa theory and the theory of modular forms, are forthcoming in the series.