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Author: J. F. Humphreys
Publisher: Cambridge University Press
ISBN: 9781139451161
Category : Mathematics
Languages : en
Pages : 358
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Book Description
This textbook is an introduction to algebra via examples. The book moves from properties of integers, through other examples, to the beginnings of group theory. Applications to public key codes and to error correcting codes are emphasised. These applications, together with sections on logic and finite state machines, make the text suitable for students of computer science as well as mathematics students. Attention is paid to historical development of the mathematical ideas. This second edition contains new material on mathematical reasoning skills and a new chapter on polynomials has been added. The book was developed from first-level courses taught in the UK and USA. These courses proved successful in developing not only a theoretical understanding but also algorithmic skills. This book can be used at a wide range of levels: it is suitable for first- or second-level university students, and could be used as enrichment material for upper-level school students.
Author: J. F. Humphreys
Publisher: Cambridge University Press
ISBN: 9781139451161
Category : Mathematics
Languages : en
Pages : 358
Get Book Here
Book Description
This textbook is an introduction to algebra via examples. The book moves from properties of integers, through other examples, to the beginnings of group theory. Applications to public key codes and to error correcting codes are emphasised. These applications, together with sections on logic and finite state machines, make the text suitable for students of computer science as well as mathematics students. Attention is paid to historical development of the mathematical ideas. This second edition contains new material on mathematical reasoning skills and a new chapter on polynomials has been added. The book was developed from first-level courses taught in the UK and USA. These courses proved successful in developing not only a theoretical understanding but also algorithmic skills. This book can be used at a wide range of levels: it is suitable for first- or second-level university students, and could be used as enrichment material for upper-level school students.
Author: J. F. Humphreys
Publisher:
ISBN: 9780521540506
Category : Mathematics
Languages : en
Pages : 338
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Book Description
Revised and updated version of popular textbook. New sections and numerous problems.
Author: Benjamin Fine
Publisher: JHU Press
ISBN: 1421411776
Category : Mathematics
Languages : en
Pages : 583
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Book Description
A new approach to abstract algebra that eases student anxieties by building on fundamentals. Introduction to Abstract Algebra presents a breakthrough approach to teaching one of math's most intimidating concepts. Avoiding the pitfalls common in the standard textbooks, Benjamin Fine, Anthony M. Gaglione, and Gerhard Rosenberger set a pace that allows beginner-level students to follow the progression from familiar topics such as rings, numbers, and groups to more difficult concepts. Classroom tested and revised until students achieved consistent, positive results, this textbook is designed to keep students focused as they learn complex topics. Fine, Gaglione, and Rosenberger's clear explanations prevent students from getting lost as they move deeper and deeper into areas such as abelian groups, fields, and Galois theory. This textbook will help bring about the day when abstract algebra no longer creates intense anxiety but instead challenges students to fully grasp the meaning and power of the approach. Topics covered include: • Rings • Integral domains • The fundamental theorem of arithmetic • Fields • Groups • Lagrange's theorem • Isomorphism theorems for groups • Fundamental theorem of finite abelian groups • The simplicity of An for n5 • Sylow theorems • The Jordan-Hölder theorem • Ring isomorphism theorems • Euclidean domains • Principal ideal domains • The fundamental theorem of algebra • Vector spaces • Algebras • Field extensions: algebraic and transcendental • The fundamental theorem of Galois theory • The insolvability of the quintic
Author: R. P. Burn
Publisher: Cambridge University Press
ISBN: 9780521347938
Category : Mathematics
Languages : en
Pages : 260
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Book Description
Following the same successful approach as Dr. Burn's previous book on number theory, this text consists of a carefully constructed sequence of questions that will enable the reader, through participation, to study all the group theory covered by a conventional first university course. An introduction to vector spaces, leading to the study of linear groups, and an introduction to complex numbers, leading to the study of Möbius transformations and stereographic projection, are also included. Quaternions and their relationships to 3-dimensional isometries are covered, and the climax of the book is a study of the crystallographic groups, with a complete analysis of these groups in two dimensions.
Author: Judy L. Walker
Publisher: American Mathematical Soc.
ISBN: 082182628X
Category : Computers
Languages : en
Pages : 82
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Book Description
Algebraic geometry is introduced, with particular attention given to projective curves, rational functions and divisors. The construction of algebraic geometric codes is given, and the Tsfasman-Vladut-Zink result mentioned above it discussed."--BOOK JACKET.
Author: United States. Weather Bureau
Publisher:
ISBN:
Category : Cipher and telegraph codes
Languages : en
Pages : 24
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Book Description
Author: Rick Gurnsey
Publisher: SAGE Publications
ISBN: 1506305172
Category : Psychology
Languages : en
Pages : 721
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Book Description
Statistics for Research in Psychology offers an intuitive approach to statistics based on estimation for interpreting research in psychology. This innovative text covers topic areas in a traditional sequence but gently shifts the focus to an alternative approach using estimation, emphasizing confidence intervals, effect sizes, and practical significance, with the advantages naturally emerging in the process. Frequent opportunities for practice and step-by-step instructions for using Excel, SPSS, and R in appendices will help readers come away with a better understanding of statistics that will allow them to more effectively evaluate published research and undertake meaningful research of their own.
Author: United States. Bureau of Economic Analysis
Publisher:
ISBN:
Category : Commercial products
Languages : en
Pages : 296
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Book Description
Author: David Salomon
Publisher: Springer Science & Business Media
ISBN: 1475729391
Category : Computers
Languages : en
Pages : 440
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Book Description
From archiving data to CD-ROMs, and from coding theory to image analysis, many facets of computing make use of data compression in one form or another. This is an overview of the many different types of compression, including a taxonomy, an analysis of the most common systems of compression, discussion of their relative benefits and disadvantages, and their most common uses. Readers are presupposed to have a basic understanding of computer science -- essentially the storage of data in bytes and bits and computing terminology -- but otherwise this book is self-contained. It divides neatly into four main parts based on the main branches of data compression: run length encoding, statistical methods, dictionary-based methods, and lossy image compression. All of the most well-known compression techniques are covered including Zip, BinHex, Huffman coding, and GIF.
Author: Joseph Kirtland
Publisher: Cambridge University Press
ISBN: 9780883857205
Category : Mathematics
Languages : en
Pages : 194
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Book Description
Introduction to the mathematics involved in designing identification codes for everyday goods.
