Algebra Books
Cambridge University Press LMSST 3 Local Fields London Mathematical Society Student Texts Series Number 3
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£60.79
Cambridge University Press LMS 145 Homology in Local Algebra London Mathematical Society Lecture Note Series Series Number 145
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£65.86
Cambridge University Press Groups and Geometry 101 London Mathematical Society Lecture Note Series Series Number 101
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£45.16
Cambridge University Press LMS 98 Localization Noetherian London Mathematical Society Lecture Note Series Series Number 98
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£69.99
Cambridge University Press Stable Domination and Independence in Algebraically Closed Valued Fields 30 Lecture Notes in Logic Series Number 30
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£35.14
Cambridge University Press LMS 132 Whitehead Groups Finite London Mathematical Society Lecture Note Series Series Number 132
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£74.13
Cambridge University Press Spinors and Space Time Volume 1 Volume 1
Book SynopsisThis volume introduces and systematically develops the calculus of 2-spinors. This is the first detailed exposition of this technique which leads not only to a deeper understanding of the structure of space-time, but also provides shortcuts to some very tedious calculations. Many results are given here for the first time.Trade Review' … by far the most comprehensive treatment in the literature of spinorial methods in general relativity … I would regard this new work as one whose acquisition should be given top priority by anyone working in either the classical or quantum theories of gravity.' Contemporary Physics' … not only provides a highly readable account of spinor calculus that is unparalleled in its depth and thoroughness, but also serves as a valuable source of reference for the numerous spinor and spinor-related formulae that arise in space-time physics.' New ScientistTable of ContentsPreface; 1. The geometry of world-vectors and spin-vectors; 2. Abstract indices and spinor algebra; 3. Spinors and world-tensors; 4. Differentiation and curvature; 5. Fields in space-time; Appendix; References; Subject and author index; Index of symbols.
£47.49
Cambridge University Press Rings and Factorization
Book SynopsisThis textbook is an introduction to the concept of factorization and its application to problems in algebra and number theory. Dr Sharpe has included numerous examples which demonstrate how frequently these ideas are useful in concrete, rather than abstract, settings. The book also contains many exercises of varying degrees of difficulty together with hints and solutions.Table of ContentsPreface; Introduction; Part I: Rings; 1. Introduction; 2. Binary operations; 3. Definition of a ring; 4. Homomorphisms, subrings and isomorphisms; 5. Integral domains; 6. Fields; 7. Residue-class rings; Part II: Factorization; 8. Introduction; 9. Unique factorization domains; 10. Euclidean domains; 11. Greatest common divisors; 12. Prime elements; 13. Euclidean domains are UFDs; 14. The two-square theorem; 15. Factorization of polynomials; 16. An application of UFD's to determinantal identities; Postscript; Partial solutions to exercises; References; Index.
£39.89
Cambridge University Press Introduction to Group Characters
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£35.14
Cambridge University Press LMS 118 Skew Linear Groups London Mathematical Society Lecture Note Series Series Number 118
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£61.71
Cambridge University Press Indras Pearls
Book SynopsisFor a century, Klein's vision of infinitely repeated reflections, practically impossible to represent by hand, barely existed outside the imagination of mathematicians, In the 1980s, the authors embarked on the first computer exploration of Klein's vision, here available for the first time in print, with the programs that generate them.Trade Review'[This book is] richly illustrated with these wonderful and mysterious pictures and gives detailed instructions for recreating them, right down to the level of computer programs (written in pseudo-code, and easy to translate into any computer language) … the reader who attempts any substantial subset of [the projects] will gain enormously … Even those who are convinced they have no ability to visualize may change their minds … It is almost required reading for the experts in the field … I truly love this book.' John H. Hubbard, The American Mathematical Monthly'It has been a great pleasure to read such a gracefully written, original book of mathematics … it is a flowing narrative, leavened with wit, whimsy, and lively cartoons by Larry Gonick. The three authors, with the support of Cambridge University Press, have produced a book that is as handsome in physical appearance as its content is stimulating and accessible. The book is an exemplar of its genre and a singular contribution to the contemporary mathematics literature.' Albert Marden, Notices (journal of the American Mathematical Society)'The production of the book leaves nothing to be desired. It is splendid. Printed entirely on glossy paper, with practically all of the many figures in glorious color, the book has a number of admirable design features: large type and wide margins wherein references are given and occasional comments (often quite talky) are made. Cambridge University Press has done a beautiful job, and David Tranah of the Press deserves special commendation for his role in pulling out all the stops.' Philip J. Davis, SIAM News'All of it is patiently explained … By the time you finish, you'll know your way around the complex plane.' Brian Hayes, American Scientist'The book itself is a work of art … I am sure that [it] will have a major impact on the way we teach geometry and dynamics … a jewel that will more than repay the persistent reader's efforts.' Michael Field, Science'I rarely feel a certain kind of euphoria by just looking at the cover of a mathematics book. But that happened with Indra's Pearls: The Vision of Felix Klein … [contains] fantastic illustrations together with apparently well-founded mathematical explanations … [it is] presented in an accessible way which dares to prioritize general comprehension above a strict theoretical approach … As far as I know, this book is one of the most beautiful examples of the illustration of the inherent aesthetic beauty (which exists) within mathematics … the images are of the highest quality obtainable at present for mathematical structures. Everyone, who ever tried to create something comparable, knows how difficult it is.' Jürgen Richter-Gebert, Technische Universität München'This unique book can serve as a pedagogical and visual introduction to group theory for schoolchildren, and yet is just as suitable for professional mathematicians: I believe that both of them would read the book from the beginning to the end. Finally, it can be used as a book for popularising science, but is very different from most fashionable books on strings, black holes, etc: it gives you the joy of seeing, thinking and understanding.' European Mathematical Society'This is a beautifully presented book, rich in mathematical gems.' The Mathematical Gazette'One can browse through the numerous beautiful and fascinating pictures and marvel at them … Readers with widely different backgrounds will find something enjoyable in this unique book.' Acta Scientiarum MathematicarumTable of ContentsPreface; Introduction; 1. The language of symmetry; 2. A delightful fiction; 3. Double spirals and Möbius maps; 4. The Schottky dance; 5. Fractal dust and infinite words; 6. Indra's necklace; 7. The glowing gasket; 8. Playing with parameters; 9. Accidents will happen; 10. Between the cracks; 11. Crossing boundaries; 12. Epilogue; Index; Road map.
£80.09
Cambridge University Press LMS 146 Cohen Macauley Modules London Mathematical Society Lecture Note Series Series Number 146
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£55.91
Cambridge University Press Linear Algebraic Monoids London Mathematical Society Lecture Note Series Series Number 133
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£55.09
Cambridge University Press LMS 129 Subgroup Structure Groups London Mathematical Society Lecture Note Series Series Number 129
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£84.07
Cambridge University Press Representations and Cohomology Volume 1 Basic Representation Theory of Finite Groups and Associative Algebras Cambridge Studies in Advanced Mathematics Series Number 30
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£100.70
Cambridge University Press Banach Algebras and the General Theory of Algebras Volume 1 Algebras and Banach Algebras Encyclopedia of Mathematics and its Applications Series Number 49
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£175.75
Cambridge University Press Commutative Ring Theory 8 Cambridge Studies in Advanced Mathematics Series Number 8
Book SynopsisIn addition to being an interesting and profound subject in its own right, commutative ring theory is important as a foundation for algebraic geometry and complex analytical geometry. Matsumura covers the basic material, including dimension theory, depth, Cohen-Macaulay rings, Gorenstein rings, Krull rings and valuation rings. More advanced topics such as Ratliff's theorems on chains of prime ideals are also explored. The work is essentially self-contained, the only prerequisite being a sound knowledge of modern algebra, yet the reader is taken to the frontiers of the subject. Exercises are provided at the end of each section and solutions or hints to some of them are given at the end of the book.Trade Review"...an absolutely essential companion to researchers in commutative algebra and an important reference for those in neighboring fields." American ScientistTable of ContentsPreface; Introduction; Conventions and terminology; 1. Commutative rings and modules; 2. prime ideals; 3. Properties of extension rings; 4. Valuation rings; 5. Dimension theory; 6. Regular sequences; 7. Regular rings; 8. Flatness revisited; 9. Derivations; 10. I-smoothness; 11. Applications of complete local rings; Appendices; References; Index.
£60.79
Cambridge University Press Finite Fields 20 Encyclopedia of Mathematics and its Applications Series Number 20
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£248.90
Cambridge University Press LMS 147 Continuous Discrete Mods London Mathematical Society Lecture Note Series Series Number 147
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£47.63
Cambridge University Press Complex Polynomials 75 Cambridge Studies in Advanced Mathematics Series Number 75
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£133.95
Cambridge University Press Lectures on Block Theory 161 London Mathematical Society Lecture Note Series Series Number 161
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£50.95
Cambridge University Press Primes and Programming An Introduction to Number Theory with Computing
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£46.54
Cambridge University Press Designs and their Codes 103 Cambridge Tracts in Mathematics Series Number 103
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£145.35
Cambridge University Press Schur Algebras and Representation Theory Cambridge Tracts in Mathematics
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£105.45
Cambridge University Press LMS 163 Topics in Varieties Group London Mathematical Society Lecture Note Series Series Number 163
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£47.63
Cambridge University Press LMS 168 Reprsntn Algbras Rltd Tpcs London Mathematical Society Lecture Note Series Series Number 168
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£65.86
Cambridge University Press LMS 171 CR Squares London Mathematical Society Lecture Note Series Series Number 171
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£55.09
Cambridge University Press Skew Fields Theory of General Division Rings 57 Encyclopedia of Mathematics and its Applications Series Number 57
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£133.95
Cambridge University Press LMS 178 Lower K and L Theory London Mathematical Society Lecture Note Series Series Number 178
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£50.95
Cambridge University Press Handbook of Categorical Algebra Volume 1 Basic Category Theory Encyclopedia of Mathematics and its Applications Series Number 50
Book SynopsisA Handbook of Categorical Algebra is designed to give, in three volumes, a detailed account of what should be known by everybody working in, or using, category theory. As such it will be a unique reference. The volumes are written in sequence, with the first being essentially self-contained, and are accessible to graduate students with a good background in mathematics. Volume 1, which is devoted to general concepts, can be used for advanced undergraduate courses on category theory. After introducing the terminology and proving the fundamental results concerning limits, adjoint functors and Kan extensions, the categories of fractions are studied in detail; special consideration is paid to the case of localizations. The remainder of the first volume studies various 'refinements' of the fundamental concepts of category and functor.Trade Review"...Not only is this the most comprehensive book ever written on category theory, it is by far the best written...What the author has understood is that one cannot understand this subject without lots of examples..." Gian-Carlo Rota, The Bulletin of Mathematics Books"...these volumes will be of enormous value to graduate students in pure or applied category theory." Martin Hyland, Mathematical ReviewsTable of ContentsIntroduction; 1. The language of categories; 2. Limits; 3. Adjoint functors; 4. Generators and projectives; 5. Categories of fractions; 6. Flat functors and Cauchy completeness; 7. Bicategories and distributors; 8. Internal category theory; Bibliography; Index.
£152.95
Cambridge University Press Handbook of Categorical Algebra Volume 2 Categories and Structures Encyclopedia of Mathematics and its Applications Series Number 51
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£173.85
Cambridge University Press Handbook of Categorical Algebra Volume 3 Sheaf Theory Encyclopedia of Mathematics and its Applications Series Number 52
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£185.25
Cambridge University Press Theory of Algebraic Invariants
Book SynopsisAn English translation of the notes from David Hilbert's course in 1897 on Invariant Theory at the University of Gottingen taken by his student Sophus Marxen.Trade Review"...Highly recommended for college libraries, undergraduate through faculty..." D.V. Feldman, Choice"...a skillful, readable, coherent presentation, with a contemporary flavor..." The American Mathematical MonthlyTable of ContentsPreface; Introduction; Part I. The Elements of Invariant Theory: 1. The forms; 2. The linear transformation; 3. The concept of an invariant; 4. Properties of invariants and covariants; 5. The operation symbols D and D; 6. The smallest system of conditions for the determination of the invariants and covariants; 7. The number of invariants of degree g; 8. The invariants and covariants of degree two and three; 9. Simultaneous invariants and covariants; 10. Covariants of covariants; 11. The invariants and covariants as functions of the roots; 12. The invariants and covariants as functions of the one-sided derivatives; 13. The symbolic representation of invariants and covariants; Part II. The Theory of Invariant Fields: 14. Proof of the finitenesss of the full invariant system via representation by root differences; 15. A generalizable proof for the finiteness of the full invariant system; 16. The system of invariants I; I1, I2, …, Ik; 17. The vanishing of the invariants; 18. The ternary nullform; 19. The finiteness of the number of irreducible syzygies and of the syzygy chain; 20. The inflection point problem for plane curves of order three; 21. The generalization of invariant theory; 22. Observations about new types of coordinates.
£34.19
Cambridge University Press LMS 195 Arithmetic Blowup Algebras London Mathematical Society Lecture Note Series Series Number 195
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£50.99
Cambridge University Press Designs and their Codes 103 Cambridge Tracts in Mathematics Series Number 103
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£72.19
Cambridge University Press Algebraic Graph Theory
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£51.29
Cambridge University Press Explicit Brauer Induction With Applications to Algebra and Number Theory 40 Cambridge Studies in Advanced Mathematics Series Number 40
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£122.55
Cambridge University Press Basic Abstract Algebra
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£107.35
Cambridge University Press Introduction to Finite Fields and their Applications
Book SynopsisThe theory of finite fields is a branch of modern algebra that has come to the fore in recent years because of its diverse applications in such areas as combinatorics, coding theory, cryptology and the mathematical study of switching circuits. The first part of this updated edition presents an introduction to this theory, emphasising those aspects that are relevant for application. The second part is devoted to a discussion of the most important applications of finite fields, especially to information theory, algebraic coding theory and cryptology. There is also a chapter on applications within mathematics, such as finite geometries, combinatorics and pseudo-random sequences. The book is meant to be used as a textbook: worked examples and copious exercises that range from the routine, to those giving alternative proofs of key theorems, to extensions of material covered in the text, are provided throughout. It will appeal to advanced undergraduates and graduate students taking courses oTrade Review' … a model of how a text book should be written; it is clear, unfussy and contains lots of examples … of particular interest to anybody wishing to teach a course in concrete algebra' Mathematika' … a very useful and highly readable introduction to the classical theory and the standard applications of finite fields. It has a clear and precise presentation with many examples and a large selection of exercises.' The Mathematical GazetteTable of Contents1. Algebraic foundations; 2. Structure of finite fields; 3. Polynomials over finite fields; 4. Factorization of polynomials; 5. Exponential sums; 6. Linear recurring sequences; 7. Theoretical applications of finite fields; 8. Algebraic coding theory; 9. Cryptology; 10. Tables.
£128.25
Cambridge University Press Matrices and Graphs in Geometry 139 Encyclopedia of Mathematics and its Applications Series Number 139
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£105.45
Cambridge University Press Modules and Rings
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£133.95
Cambridge University Press Basic Abstract Algebra
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£54.14
Cambridge University Press InfiniteDimensional Lie Algebras
Book SynopsisThis is the third, substantially revised edition of this important monograph and graduate text. Each chapter begins with a motivating discussion and ends with a collection of exercises, with hints to the more challenging problems. The theory has applications in many areas of mathematics and mathematical physics and these are discussed in relation to the basic theory where appropriate.Trade Review'A clear account of Kac–Moody algebras by one of the founders … Eminently suitable as an introduction … with a surprising number of exercises.' American Mathematical Monthly' … a useful contribution. All the basic elements of the subject are covered … Many results which were previously scattered about in the literature are collected here … The book also contains many exercises and useful comments …' Physics in CanadaTable of ContentsIntroduction; Notational conventions; 1. Basic definitions; 2. The invariant bilinear form and the generalized casimir operator; 3. Integrable representations of Kac-Moody algebras and the weyl group; 4. A classification of generalized cartan matrices; 5. Real and imaginary roots; 6. Affine algebras: the normalized cartan invariant form, the root system, and the weyl group; 7. Affine algebras as central extensions of loop algebras; 8. Twisted affine algebras and finite order automorphisms; 9. Highest-weight modules over Kac-Moody algebras; 10. Integrable highest-weight modules: the character formula; 11. Integrable highest-weight modules: the weight system and the unitarizability; 12. Integrable highest-weight modules over affine algebras; 13. Affine algebras, theta functions, and modular forms; 14. The principal and homogeneous vertex operator constructions of the basic representation; Index of notations and definitions; References; Conference proceedings and collections of paper.
£52.24
Cambridge University Press Topics in Matrix Analysis
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£71.24
Cambridge University Press LMS 217 Quadratic Forms Appllctns London Mathematical Society Lecture Note Series Series Number 217
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£50.95
Cambridge University Press Cohomology of Drinfeld Modular Varieties Part 1 Geometry Counting of Points and Local Harmonic Analysis Cambridge Studies in Advanced Mathematics Series Number 41
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£122.55
Cambridge University Press Cohomology of Drinfeld Modular Varieties Part 2 Automorphic Forms Trace Formulas and Langlands Correspondence Cambridge Studies in Advanced Mathematics Series Number 56
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£122.55
Cambridge University Press Multiplicities and Chern Classes in Local Algebra
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£105.45