Rudiments of MATHEMATICS
Author :
Publisher : Academic Publishers
Page : 1014 pages
File Size : 10,6 MB
Release :
Category :
ISBN : 9788189781743
Rudiments of Mathematics, Vol 2
Author :
Publisher : Academic Publishers
Page : 810 pages
File Size : 25,47 MB
Release :
Category :
ISBN : 9788189781583
Book Description
Rudiments of Mathematics Part 1
Author :
Publisher : Academic Publishers
Page : 956 pages
File Size : 16,44 MB
Release :
Category :
ISBN : 9788189781545
Book Description
Rudiments of Calculus
Author : A. Arnold
Publisher : Elsevier
Page : 297 pages
File Size : 42,60 MB
Release : 2001-02-07
Category : Computers
ISBN : 0080516459
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.
The Development of Mathematics
Author : E. T. Bell
Publisher : Courier Corporation
Page : 657 pages
File Size : 23,36 MB
Release : 2012-09-11
Category : Mathematics
ISBN : 0486152286
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.
Introduction to Algebraic Geometry
Author : Serge Lang
Publisher : Courier Dover Publications
Page : 273 pages
File Size : 24,97 MB
Release : 2019-03-20
Category : Mathematics
ISBN : 048683980X
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.
Mathematical Reasoning
Author : Raymond Nickerson
Publisher : Taylor & Francis
Page : 597 pages
File Size : 10,2 MB
Release : 2011-02-25
Category : Psychology
ISBN : 1136945393
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.
Representation Theory of Finite Groups
Author : Martin Burrow
Publisher : Academic Press
Page : 196 pages
File Size : 50,20 MB
Release : 2014-05-10
Category : Mathematics
ISBN : 1483258211
Book Description
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.
Numbers and Functions
Author : Victor H. Moll
Publisher : American Mathematical Soc.
Page : 530 pages
File Size : 26,94 MB
Release : 2012
Category : Mathematics
ISBN : 0821887955
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.
Perturbation Techniques in Mathematics, Engineering and Physics
Author : Richard Ernest Bellman
Publisher : Courier Corporation
Page : 146 pages
File Size : 39,91 MB
Release : 2003-01-01
Category : Science
ISBN : 9780486432588
Book Description
Graduate students receive a stimulating introduction to analytical approximation techniques for solving differential equations in this text, which introduces scientifically significant problems and indicates useful solutions. 1966 edition.
