Rudiments of Mathematics Vol.- I PDF Download
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Author:
Publisher:
ISBN: 9788189781019
Category :
Languages : en
Pages : 1018
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Author:
Publisher: Academic Publishers
ISBN: 9788189781545
Category :
Languages : en
Pages : 956
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Author:
Publisher: Academic Publishers
ISBN: 9788189781743
Category :
Languages : en
Pages : 1014
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Author:
Publisher: Academic Publishers
ISBN: 9788189781583
Category :
Languages : en
Pages : 810
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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: Peter Scherk
Publisher: Toronto ; Buffalo : University of Toronto Press
ISBN:
Category : Mathematics
Languages : en
Pages : 132
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Author: Raymond Nickerson
Publisher: Taylor & Francis
ISBN: 1136945393
Category : Psychology
Languages : en
Pages : 597
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Book Description
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: Serge Lang
Publisher: Courier Dover Publications
ISBN: 048683980X
Category : Mathematics
Languages : en
Pages : 273
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Book Description
Author Serge Lang defines algebraic geometry as the study of systems of algebraic equations in several variables and of the structure that one can give to the solutions of such equations. The study can be carried out in four ways: analytical, topological, algebraico-geometric, and arithmetic. This volume offers a rapid, concise, and self-contained introductory approach to the algebraic aspects of the third method, the algebraico-geometric. The treatment assumes only familiarity with elementary algebra up to the level of Galois theory. Starting with an opening chapter on the general theory of places, the author advances to examinations of algebraic varieties, the absolute theory of varieties, and products, projections, and correspondences. Subsequent chapters explore normal varieties, divisors and linear systems, differential forms, the theory of simple points, and algebraic groups, concluding with a focus on the Riemann-Roch theorem. All the theorems of a general nature related to the foundations of the theory of algebraic groups are featured.
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: 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.
Author: I. Martin Isaacs
Publisher: American Mathematical Soc.
ISBN: 0821847996
Category : Mathematics
Languages : en
Pages : 531
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Book Description
as a student." --Book Jacket.
