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Group Theory
Number Theory
Numerical Analysis
 


Problems in Group Theory
(Paperback)
by
John D. Dixon
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Product Details

Paperback: 176 pages
Publisher: Dover Publications; 1 edition
(June 1, 1973)
Language: English
ISBN-10: 048661574X
ISBN-13: 978-0486615745
Product Dimensions: 8.5 x 5.4 x 0.4 inches
Shipping Weight: 4.8 ounces
Editorial Reviews
Product Description
Text deals with subgroups, permutation groups, automorphisms and finitely generated abelian groups, normal series, commutators and derived series, solvable and nilpotent groups, the group ring and monomial representations, Frattini subgroup, factorization, linear gorups, and representations and characters—in all, 431 problems. Full solutions to problems in separate section.






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Group Theory
(Paperback)
by
W. R. Scott
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Product Details

Paperback: 512 pages
Publisher: Dover Publications; New Ed edition
(June 1, 1987)
Language: English
ISBN-10: 0486653773
ISBN-13: 978-0486653778
Product Dimensions: 8.4 x 5.9 x 0.8 inches
Shipping Weight: 1.1 pounds
Editorial Reviews

Product Description

Clear, well-organized coverage of most standard theorems: isomorphism theorems, transformations and subgroups, direct sums, abelian groups, etc. Over 500 exercises. Undergraduate-level.








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Group Theory in Physics: Problems and Solutions
(Paperback)
by
Michael Aivazis
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Product Details

Paperback: 150 pages
Publisher: World Scientific Publishing Company
(January 1991)
Language: English
ISBN-10: 9810204868
ISBN-13: 978-9810204860
Product Dimensions: 8.3 x 6 x 0.4 inches
Shipping Weight: 7.2 ounces

 


Problems & Solutions in Group Theory for Physicists
(Hardcover)
by
Zhong-Qi Ma (Author), Xiao-Yan Gu

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Product Details

Hardcover: 464 pages
Publisher: World Scientific Publishing Company
(August 2004)
Language: English
ISBN-10: 981238832X
ISBN-13: 978-9812388322
Product Dimensions: 9 x 6 x 1.1 inches
Shipping Weight: 1.7 pounds
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Editorial Reviews
Mathematical Reviews
The authors present an interesting book explaining group theory in terms of physics.
Book Description
This book is aimed at graduate students in physics who are studying group theory and its application to physics. It contains a short explanation of the fundamental knowledge and method, and the fundamental exercises for the method, as well as some important conclusions in group theory.

The book can be used by graduate students and young researchers in physics, especially theoretical physics. It is also suitable for some graduate students in theoretical chemistry.



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Elementary Number Theory, Group Theory and Ramanujan Graphs
(London Mathematical Society Student Texts)
(Paperback)
by
Giuliana Davidoff (Author), Peter Sarnak (Author), Alain Valette

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Summary
This text is a self-contained study of expander graphs, specifically, their explicit construction. Expander graphs are highly connected but sparse, and while being of interest within combinatorics and graph theory, they can also be applied to computer science and engineering. Only a knowledge of elementary algebra, analysis and combinatorics is required because the authors provide the necessary background from graph theory, number theory, group theory and representation theory. Thus the text can be used as a brief introduction to these subjects and their synthesis in modern mathematics.





 


Handbook of Computational Group Theory
(Discrete Mathematics and Its Applications)
(Hardcover)
by
Derek F. Holt (Author), Bettina Eick (Author), Eamonn A. O'Brien

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Product Details

Hardcover: 536 pages
Publisher: Chapman & Hall/CRC; 1 edition
(January 13, 2005)
Language: English
ISBN-10: 1584883723
ISBN-13: 978-1584883722
Product Dimensions: 9.3 x 6.3 x 1.3 inches
Shipping Weight: 3.1 pounds
Editorial Reviews

Review
This is a book I am very happy to have, both for the choice of content and the quality of exposition. Its subject is a very complete and up-to-date review of computational group theory. All together, the book contains of a huge amount of information. I think every mathematician will want this book on his shelf.
-Mathematics of Computation

Product Description
The origins of computation group theory (CGT) date back to the late 19th and early 20th centuries. Since then, the field has flourished, particularly during the past 30 to 40 years, and today it remains a lively and active branch of mathematics. The Handbook of Computational Group Theory offers the first complete treatment of all the fundamental methods and algorithms in CGT presented at a level accessible even to advanced undergraduate students. It develops the theory of algorithms in full detail and highlights the connections between the different aspects of CGT and other areas of computer algebra. While acknowledging the importance of the complexity analysis of CGT algorithms, the authors' primary focus is on algorithms that perform well in practice rather than on those with the best theoretical complexity. Throughout the book, applications of all the key topics and algorithms to areas both within and outside of mathematics demonstrate how CGT fits into the wider world of mathematics and science. The authors include detailed pseudocode for all of the fundamental algorithms, and provide detailed worked examples that bring the theorems and algorithms to life.






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A Course in Group Theory
(Oxford Science Publications)
(Paperback)
by
John F. Humphreys
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Product Details

Paperback: 296 pages
Publisher: Oxford University Press, USA
(July 11, 1996)
Language: English
ISBN-10: 0198534590
ISBN-13: 978-0198534594
Product Dimensions: 9.1 x 6.1 x 0.7 inches
Shipping Weight: 1 pounds

Editorial Reviews

Review
`The arguments are clear and full proofs are given. ... The whole text is actually built up around the idea of classification theorems. The inherent limitations of such an approach put aside, such glimpses of a distant horizon can do a lot towards stimulating the students to find more about the subject for themselves.' M Deaconescu, Zentralblatt fur Mathematik, Band 843/96.

`Clear and fast moving, as you'd expect from this author.' New Scientist, Ian Stewart, September 1996,

Product Description
The classification of the finite simple groups is one of the major intellectual achievements of this century, but it remains almost completely unknown outside of the mathematics community. This introduction to group theory is also an attempt to make this important work better known.
Emphasizing classification themes throughout, the book gives a clear and comprehensive introduction to groups and covers all topics likely to be encountered in an undergraduate course. Introductory chapters explain the concepts of group, subgroup and normal subgroup, and quotient group. The
homomorphism and isomorphism theorems are explained, along with an introduction to G-sets. Subsequent chapters deal with finite abelian groups, the Jordan-Holder theorem, soluble groups, p-groups, and group extensions. The numerous worked examples and exercises in this excellent and self-contained
introduction will also encourage undergraduates (and first year graduates) to further study.

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Handbook of Number Theory I
(Hardcover)
by József Sándor (Author), Dragoslav S. Mitrinovic (Author), Borislav Crstici
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Product Details

Hardcover: 622 pages
Publisher: Springer; 1st ed. 1995. 2nd printing edition
(December 7, 2005)
Language: English
ISBN-10: 1402042159
ISBN-13: 978-1402042157
Product Dimensions: 9.5 x 6.5 x 1.2 inches
Shipping Weight: 2.8 pounds
Product Description

This handbook covers a wealth of topics from number theory, special attention being given to estimates and inequalities. As a rule, the most important results are presented, together with their refinements, extensions or generalisations. These may be applied to other aspects of number theory, or to a wide range of mathematical disciplines. Cross-references provide new insight into fundamental research.
Audience: This is an indispensable reference work for specialists in number theory and other mathematicians who need access to some of these results in their own fields of research.






Handbook of Number Theory II
(Hardcover)
by Jozsef Sándor (Author), Borislav Crstici
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Product Details

Hardcover: 637 pages
Publisher: Springer; 1 edition
(February 24, 2005)
Language: English
ISBN-10: 1402025467
ISBN-13: 978-1402025464
Product Dimensions: 9.4 x 6.5 x 1.6 inches
Shipping Weight: 2.3 pound

Review

From the reviews:

"It is the aim of this monograph to give, in an encyclopedic manner, surveys on some topics of Number Theory with many hints to the literature. The reviewer thinks that this monograph is a great help to number theorists ." (Wolfgang Schwarz, Zentralblatt MATH, Vol. 1079 (5), 2006)
"This book is a compendium of results in certain areas of number theory . This volume can be quite useful for researchers and each chapter ends with a large list of references." (Don Redmond, Mathematical Reviews, Issue 2005 k)
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Exercises in Number Theory
(Problem Books in Mathematics)
(Hardcover)
by D.P. Parent
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Editorial Reviews
Language Notes
Text: English, French
(translation)
Product Details
Hardcover: 556 pages

Publisher: Springer; 1 edition

(September 12, 1984)
Language: English
ISBN-10: 0387960635
ISBN-13: 978-0387960630
Product Dimensions: 9.3 x 6.4 x 1.6 inches

Shipping Weight: 2 pounds


Unsolved Problems in Number Theory
(Problem Books in Mathematics)
(Hardcover)
by
Richard K. Guy
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Editorial Reviews

Book Description
This book contains discussions of hundreds of open questions in number theory, organized into 185 different topics. They represent numerous aspects of number theory and are organized into six categories: prime numbers, divisibility, additive number theory, Diophantine equations, sequences of integers, and miscellaneous. To prevent repetition of earlier efforts or duplication of previously known results, an extensive and up-to-date collection of references follows each problem. In the second edition, extensive new material has been added, and corrections have been included throughout the book. This volume is an invaluable supplement to any course in number theory.

Product Details

Hardcover: 300 pages
Publisher: Springer; 2 Sub edition
(July 1994)
Language: English
ISBN-10: 0387942890
ISBN-13: 978-0387942896
Product Dimensions: 9.6 x 6.4 x 0.9 inches
Shipping Weight: 1.4 pounds

 


Number Theory: An Introduction to Mathematics: Part A
(Hardcover)
by
William A. Coppel
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Editorial Reviews

Product Description

Undergraduate courses in mathematics are commonly of two types. On the one hand are courses in subjects - such as linear algebra or real analysis - with which it is considered that every student of mathematics should be acquainted. On the other hand are courses given by lecturers in their own areas of specialization, which are intended to serve as a preparation for research. But after taking courses of only these two types, students might not perceive the sometimes surprising interrelationships and analogies between different branches of mathematics, and students who do not go on to become professional mathematicians might never gain a clear understanding of the nature and extent of mathematics. The two-volume Number Theory: An Introduction to Mathematics attempts to provide such an understanding of the nature and extent of mathematics. It is a modern introduction to the theory of numbers, emphasizing its connections with other branches of mathematics. Part A, which should be accessible to a first-year undergraduate, deals with elementary number theory. Part B is more advanced than the first and should give the reader some idea of the scope of mathematics today. The connecting theme is the theory of numbers. By exploring its many connections with other branches, we may obtain a broad picture.

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Number Theory: An Introduction to Mathematics: Part B
(Hardcover)
by
William A. Coppel
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Editorial Reviews

Book Description

Undergraduate courses in mathematics are commonly of two types. On the one hand are courses in subjects - such as linear algebra or real analysis - with which it is considered that every student of mathematics should be acquainted. On the other hand are courses given by lecturers in their own areas of specialization, which are intended to serve as a preparation for research. But after taking courses of only these two types, students might not perceive the sometimes surprising interrelationships and analogies between different branches of mathematics, and students who do not go on to become professional mathematicians might never gain a clear understanding of the nature and extent of mathematics. The two-volume Number Theory: An Introduction to Mathematics attempts to provide such an understanding of the nature and extent of mathematics. It is a modern introduction to the theory of numbers, emphasizing its connections with other branches of mathematics. Part A, which should be accessible to a first-year undergraduate, deals with elementary number theory. Part B is more advanced than the first and should give the reader some idea of the scope of mathematics today. The connecting theme is the theory of numbers, at first sight one of the most abstruse and irrelevant branches of mathematics. Yet by exploring its many connections with other branches, we may obtain a broad picture.

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Solved and unsolved problems in number theory
(Unknown Binding)
by Daniel Shanks
Editorial Reviews

Science
The flavor of ... mathematics is in this book--this is its claim to distinction. --This text refers to an out of print or unavailable edition of this title.

Product Description
The investigation of three problems, perfect numbers, periodic decimals, and Pythagorean numbers, has given rise to much of elementary number theory. In this book, Daniel Shanks, past editor of Mathematics of Computation, shows how each result leads to further results and conjectures. The outcome is a most exciting and unusual treatment. This edition contains a new chapter presenting research done between 1962 and 1978, emphasizing results that were achieved with the help of computers. --This text refers to the Hardcover edition.


Product Details

Unknown Binding: 258 pages
Publisher: Chelsea Pub. Co; 2d ed edition
(1978)
Language: English
ISBN-10: 0828402973
ISBN-13: 978-0828402972

 


An Introduction to Number Theory
(Paperback)
by
Harold M. Stark


Editorial Reviews

Review
"Stark has written a delightful leisurely account of elementary number theory with little or no ideal theoretic premeditation, included an abundant supply of great exercises, and ended with an exciting chapter on quadratic number fields,"
- K.F. Ireland, the American Mathematical Society Monthly

"... this book will furnish the student, the teacher and the specialist alike with new methods and new insights into number theory It is a welcome addition to the literature "
- A.L. Whitman, Reviews of the American Mathematical Society

Product Description
The majority of students who take courses in number theory are mathematics majors who will not become number theorists. Many of them will, however, teach mathematics at the high school or junior college level, and this book is intended for those students learning to teach, In addition to a careful presentation of the standard material usually taught in a first course in elementary number theory, this book includes a chapter on quadratic fields which the author has designed to make students think about some of the "obvious" concepts they have taken for granted earlier. The book also includes a large number of exercises, many of which are nonstandard.


Product Details

Paperback: 360 pages
Publisher: The MIT Press
(May 30, 1978)
Language: English
ISBN-10: 0262690608
ISBN-13: 978-0262690607
Product Dimensions: 8.8 x 5.8 x 0.7 inches
Shipping Weight: 1 pounds



 


Elementary Number Theory
(Hardcover)
by
David M. Burton
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Editorial Reviews

Product Description
This text provides a simple account of classical number theory, as well as some of the historical background in which the subject evolved. It is intended for use in a one-semester, undergraduate number theory course taken primarily by mathematics majors and students preparing to be secondary school teachers. Although the text was written with this audience in mind, very few formal prerequisites are required. Much of the text can be read by students with a sound background in high school mathematics.


Product Details

Hardcover: 432 pages
Publisher: McGraw-Hill Science/Engineering/Math; 5 edition
(July 19, 2001)
Language: English
ISBN-10: 0072325690
ISBN-13: 978-0072325690
Product Dimensions: 9.3 x 6.6 x 0.9 inches
Shipping Weight: 1.6 pounds

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Elementary Number Theory
(Hardcover)
by
David M. Burton

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Editorial Reviews

Product Description
Elementary Number Theory, Sixth Edition, is written for the one-semester undergraduate number theory course taken by math majors, secondary education majors, and computer science students. This contemporary text provides a simple account of classical number theory, set against a historical background that shows the subject's evolution from antiquity to recent research. Written in David Burton’s engaging style, Elementary Number Theory reveals the attraction that has drawn leading mathematicians and amateurs alike to number theory over the course of history.


Product Details

Hardcover: 448 pages
Publisher: McGraw-Hill Science/Engineering/Math; 6 edition
(September 27, 2005)
Language: English
ISBN-10: 0073051888
ISBN-13: 978-0073051888
Product Dimensions: 9.3 x 6 x 0.9 inches
Shipping Weight: 1.6 pounds


 


Basic Number Theory
(Classics in Mathematics)
(Paperback)
by
Andre Weil
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Product Details

Paperback: 315 pages
Publisher: Springer
(February 15, 1995)
Language: English
ISBN-10: 3540586555
ISBN-13: 978-3540586555
Product Dimensions: 9.2 x 6.3 x 0.8 inches
Shipping Weight: 1.3 pounds
Editorial Reviews

Review
"L.R. Shafarevich showed me the first edition in autumn 1967 in Moscow and said that this book will be from now on the book about class field theory. In fact it is by far the most complete treatment of the main theorems of algebraic number theory, including function fields over finite constant fields, that appeared in book form. The theory is presented in a uniform way starting with topological fields and Haar measure on related groups, and it includes not only class field theory but also the theory of simple algebras over local and global fields, which serves as a foundation for class field theory. The spirit of the book is the idea that all this is asic number theory' about which elevates the edifice of the theory of automorphic forms and representations and other theories.
To develop this basic number theory on 312 pages efforts a maximum of concentration on the main features. So, there is absolutely no example which illustrates the rather abstract material and brings it nearer to the heart of the reader.
This is not a book for beginners. This book is written in the spirit of the early forties and just this makes it a valuable source of information for everyone who is working about problems related to number and function fields."
Zentralblatt MATH, 823




An Introduction to Number Theory
(Graduate Texts in Mathematics)
(Hardcover)
by
G. Everest (Author), Thomas Ward

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Product Details

Hardcover: 302 pages
Publisher: Springer; 1st ed. 2005. Corr. 2nd printing edition
(October 26, 2006)
Language: English
ISBN-10: 1852339179
ISBN-13: 978-1852339173
Product Dimensions: 9.3 x 6.3 x 0.8 inches
Shipping Weight: 1.2 pounds
Product Description

An Introduction to Number Theory provides an introduction to the main streams of number theory. Starting with the unique factorization property of the integers, the theme of factorization is revisited several times throughout the book to illustrate how the ideas handed down from Euclid continue to reverberate through the subject.

In particular, the book shows how the Fundamental Theorem of Arithmetic, handed down from antiquity, informs much of the teaching of modern number theory. The result is that number theory will be understood, not as a collection of tricks and isolated results, but as a coherent and interconnected theory.

A number of different approaches to number theory are presented, and the different streams in the book are brought together in a chapter that describes the class number formula for quadratic fields and the famous conjectures of Birch and Swinnerton-Dyer. The final chapter introduces some of the main ideas behind modern computational number theory and its applications in cryptography.

Written for graduate and advanced undergraduate students of mathematics, this text will also appeal to students in cognate subjects who wish to learn some of the big ideas in number theory.
 


An Introduction to Numerical Analysis
(Paperback)
by
Endre Süli (Author), David F. Mayers

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Editorial Reviews

Review
"This book is a solid text in the basics of numerical mathematics, using more of a theoretical background than most. If you are looking for a book to use in a course in numerical analysis where there is an emphasis on the theoretical background, then this one will serve your needs." Journal of Recreational Mathematics

"carefully written with a good level of rigor" SIAM Review

Product Description
This textbook is written primarily for undergraduate mathematicians and also appeals to students working at an advanced level in other disciplines. The text begins with a clear motivation for the study of numerical analysis based on real-world problems. The authors then develop the necessary machinery including iteration, interpolation, boundary-value problems and finite elements. Throughout, the authors keep an eye on the analytical basis for the work and add historical notes on the development of the subject. There are numerous exercises for students.

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Product Details

Paperback: 444 pages
Publisher: Cambridge University Press (September 8, 2003)
Language: English
ISBN-10: 0521007941
ISBN-13: 978-0521007948
Product Dimensions: 9 x 5.8 x 0.9 inches
Shipping Weight: 1.6 pounds



http://rapidshare.com/files/74511689/Elementary_Number_Theory.pdf
 


Principles of Numerical Analysis
(Paperback)
by
Alston S. Householder
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Editorial Reviews

Product Description

Computer science rests upon the building blocks of numerical analysis. This concise treatment by an expert covers the essentials of the solution of finite systems of linear and nonlinear equations as well as the approximate representation of functions. A final section provides 54 problems, subdivided according to chapter. 1953 edition.


Product Details

Paperback: 288 pages
Publisher: Dover Publications
(September 29, 2006)
Language: English
ISBN-10: 048645312X
ISBN-13: 978-0486453125
Product Dimensions: 8.3 x 5.4 x 0.6 inches
Shipping Weight: 5.6 ounces

 


Numerical Analysis
(Graduate Texts in Mathematics)
(Hardcover)
by
Rainer Kress
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Editorial Reviews

Product Description
This volume is intended as an introduction into numerical analysis for students in mathematics, physics, and engineering. Instead of attempting to exhaustively cover all parts of numerical analysis, the goal is to guide the reader towards the basic ideas and general principles by way of considering main and important numerical methods. Given the rapid development of numerical algorithms, a reasonable introduction to numerical analysis has to confine itself to presenting a solid foundation by restricting the presentation to the basic principles and procedures. The book includes the necessary basic functional analytic tools for the solid mathematical foundation of numerical analysis. These are indispensable for any deeper study and understanding of numerical methods, in particular, for differential equations and integral equations. Particular emphasis will be given to the question of stability--especially to well-posedness and ill-posedness. The text is presented in a concise and easily understandable fashion and can be successfully mastered in a one-year course.

Book Info
An introduction into numerical analysis for students in mathematics, physics, & engineering designed to guide the reader towards the basic ideas & general principles by way of considering main & important numerical methods & providing a solid foundation in numerical analysis. DLC: Numerical analysis.


Product Details

Hardcover: 344 pages
Publisher: Springer; 1 edition
(April 17, 1998)
Language: English
ISBN-10: 0387984089
ISBN-13: 978-0387984087
Product Dimensions: 9.6 x 6.3 x 0.8 inches
Shipping Weight: 1.3 pounds

 
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