Rudiments of Mathematics Part 1
Author :
Publisher : Academic Publishers
Page : 956 pages
File Size : 35,75 MB
Release :
Category :
ISBN : 9788189781545
Author :
Publisher : Academic Publishers
Page : 956 pages
File Size : 35,75 MB
Release :
Category :
ISBN : 9788189781545
Author :
Publisher : Academic Publishers
Page : 1014 pages
File Size : 13,7 MB
Release :
Category :
ISBN : 9788189781743
Author :
Publisher : Academic Publishers
Page : 810 pages
File Size : 39,45 MB
Release :
Category :
ISBN : 9788189781583
Author : A. Arnold
Publisher : Elsevier
Page : 297 pages
File Size : 38,42 MB
Release : 2001-02-07
Category : 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 : Raymond Nickerson
Publisher : Taylor & Francis
Page : 597 pages
File Size : 42,8 MB
Release : 2011-02-25
Category : 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 : Peter Scherk
Publisher : Toronto ; Buffalo : University of Toronto Press
Page : 132 pages
File Size : 11,94 MB
Release : 1975
Category : Mathematics
ISBN :
Author : E. T. Bell
Publisher : Courier Corporation
Page : 657 pages
File Size : 25,80 MB
Release : 2012-09-11
Category : 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.
Author : I. Martin Isaacs
Publisher : American Mathematical Soc.
Page : 531 pages
File Size : 45,46 MB
Release : 2009
Category : Mathematics
ISBN : 0821847996
as a student." --Book Jacket.
Author : Kazuya Kato
Publisher : American Mathematical Soc.
Page : 180 pages
File Size : 18,10 MB
Release : 2000
Category : Mathematics
ISBN : 9780821808634
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 : Martin Burrow
Publisher : Academic Press
Page : 196 pages
File Size : 28,71 MB
Release : 2014-05-10
Category : Mathematics
ISBN : 1483258211
Representation Theory of Finite Groups is a five chapter text that covers the standard material of representation theory. This book starts with an overview of the basic concepts of the subject, including group characters, representation modules, and the rectangular representation. The succeeding chapters describe the features of representation theory of rings with identity and finite groups. These topics are followed by a discussion of some of the application of the theory of characters, along with some classical theorems. The last chapter deals with the construction of irreducible representations of groups. This book will be of great value to graduate students who wish to acquire some knowledge of representation theory.