Algebra Books
Cambridge University Press The Grothendieck Theory of Dessins dEnfants 0200 London Mathematical Society Lecture Note Series Series Number 200
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£94.01
Cambridge University Press LMS 203 Hochschild Cohomology London Mathematical Society Lecture Note Series Series Number 203
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£47.63
Cambridge University Press LMS 210 Hilbert CModules A Toolkit for Operator Algebraists London Mathematical Society Lecture Note Series Series Number 210
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£39.36
Cambridge University Press Matrices of SignSolvable Linear Systems
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£105.45
Cambridge University Press Affine Lie Algebras and Quantum Groups
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£72.19
Cambridge University Press Lectures on Lie Groups and Lie Algebras 32 London Mathematical Society Student Texts Series Number 32
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£44.64
Cambridge University Press A Computational Introduction to Number Theory and Algebra World Trade Organization
Book SynopsisThis introductory book emphasizes algorithms and applications, and is accessible to a broad audience. The author alternates between theory and applications in order to illustrate the mathematics. This second edition includes many new exercises and worked examples, and has been reorganized to improve presentation and clarity of exposition.Trade Review'The subject matter is presented in a very thorough way … The material is very well organized: definitions, results and their interrelations fit together perfectly … The book is especially attractive to students with a background or interest in computer science … The suitability of the book for self-study is greatly enhanced by a wealth of exercises and examples that are provided … the book is very well-written, and it is a pleasure to read.' Mathematics of Computation'… the book could serve as a course of discrete mathematics for computer science students.' EMS NewsletterTable of ContentsPreface; Preliminaries; 1. Basic properties of the integers; 2. Congruences; 3. Computing with large integers; 4. Euclid's algorithm; 5. The distribution of primes; 6. Abelian groups; 7. Rings; 8. Finite and discrete probability distributions; 9. Probabilistic algorithms; 10. Probabilistic primality testing; 11. Finding generators and discrete logarithms in Z*p; 12. Quadratic reciprocity and computing modular square roots; 13. Modules and vector spaces; 14. Matrices; 15. Subexponential-time discrete logarithms and factoring; 16. More rings; 17. Polynomial arithmetic and applications; 18. Linearly generated sequences and applications; 19. Finite fields; 20. Algorithms for finite fields; 21. Deterministic primality testing; Appendix: some useful facts; Bibliography; Index of notation; Index.
£54.14
Cambridge University Press Computational Algebraic Geometry
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£34.19
Cambridge University Press Corings and Comodules 309 London Mathematical Society Lecture Note Series Series Number 309
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£74.13
Cambridge University Press Elements of the Representation Theory of Associative Algebras Volume 2 Tubes and Concealed Algebras of Euclidean Type London Mathematical Society Student Texts Series Number 71
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£55.09
Cambridge University Press Exploratory Galois Theory
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£37.99
Cambridge University Press A Primer of Algebraic DModules 33 London Mathematical Society Student Texts Series Number 33
Book SynopsisThe theory of D-modules is a rich area of study combining ideas from algebra and differential equations, and it has significant applications to diverse areas such as singularity theory and representation theory. This book introduces D-modules and their applications avoiding all unnecessary over-sophistication. It is aimed at beginning graduate students and the approach taken is algebraic, concentrating on the role of the Weyl algebra. Very few prerequisites are assumed, and the book is virtually self-contained. Exercises are included at the end of each chapter and the reader is given ample references to the more advanced literature. This is an excellent introduction to D-modules for all who are new to this area.Trade Review'I truly recommend this book, both for its mathematical content and for its light reading.' Bulletin of the London Mathematic Society'A readable account.' MathematikaTable of Contents1. The Weyl algebra; 2. Ideal structure of the Weyl algebra; 3. Rings of differential operators; 4. Jacobian conjectures; 5. Modules over the Weyl algebra; 6. Differential equations; 7. Graded and filtered modules; 8. Noetherian rings and modules; 9. Dimension and multiplicity; 10. Holonomic modules; 11. Characteristic varieties; 12. Tensor products; 13. External products; 14. Inverse image; 15. Embeddings; 16. Direct images; 17. Kashiwara's theorem; 18. Preservation of holonomy; 19. Stability of differential equations; 20. Automatic proof of identities.
£116.85
Cambridge University Press Clifford Algebras and the Classical Groups
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£105.45
Cambridge University Press Classical Invariant Theory 44 London Mathematical Society Student Texts Series Number 44
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£100.70
Cambridge University Press Classical Invariant Theory
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£41.79
Cambridge University Press Guide to Quantum Groups
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£83.59
Cambridge University Press A Primer of Algebraic DModules 33 London Mathematical Society Student Texts Series Number 33
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£42.74
Cambridge University Press Introduction to Homological Algebra 38 Cambridge Studies in Advanced Mathematics Series Number 38
Book SynopsisThe landscape of homological algebra has evolved over the last half-century into a fundamental tool for the working mathematician. This book provides a unified account of homological algebra as it exists today. The historical connection with topology, regular local rings, and semi-simple Lie algebras are also described. This book is suitable for second or third year graduate students. The first half of the book takes as its subject the canonical topics in homological algebra: derived functors, Tor and Ext, projective dimensions and spectral sequences. Homology of group and Lie algebras illustrate these topics. Intermingled are less canonical topics, such as the derived inverse limit functor lim1, local cohomology, Galois cohomology, and affine Lie algebras. The last part of the book covers less traditional topics that are a vital part of the modern homological toolkit: simplicial methods, Hochschild and cyclic homology, derived categories and total derived functors. By making these toTrade Review"It is...the ideal text for the working mathematician need- ing a detailed description of the fundamentals of the subject as it exists and is used today; the author has succeeded brilliantly in his avowed intention to break down 'the technological barriers between casual users and experts'." Kenneth A. Brown, Mathematical Reviews"By collecting, organizing, and presenting both the old and the new in homological algebra, Weibel has performed a valuable service. He has written a book that I am happy to have in my library." Joseph Rotman, Bulletin of the American Mathematical SocietyTable of Contents1. Chain complexes; 2. Derived functors; 3. Tor and Ext; 4. Homological dimensions; 5. Spectral sequences; 6. Group homology and cohomology; 7. Lie algebra homology and cohomology; 8. Simplicial methods in homological algebra; 9. Hothschild and cyclic homology; 10. The derived category; Appendix: category theory language.
£55.09
Cambridge University Press Solitons
Book SynopsisThis 1999 book investigates the high degree of symmetry that lies hidden in integrable systems. Differential equations arising from classical mechanics, such as the KdV equation and the KP equations, are used here by the authors to introduce the notion of an infinite dimensional transformation group acting on spaces of integrable systems.Trade Review' ... this charming book can be recommended to anybody interested in the modern development in the mathematics arising from mathematical physics.' EMSTable of ContentsPreface; 1. The KdV equation and its symmetries; 2. The KdV hierarchy; 3. The Hirota equation and vertex operators; 4. The calculus of Fermions; 5. The Boson–Fermion correspondence; 6. Transformation groups and tau functions; 7. The transformation group of the KdV equation; 8. Finite dimensional Grassmannians and Plücker relations; 9. Infinite dimensional Grassmannians; 10. The bilinear identity revisited; Solutions to exercises; Bibliography; Index.
£71.24
Cambridge University Press Groups as Galois Groups
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£105.45
Cambridge University Press CohenMacaulay Rings 2ed Revised Edition 39
Book SynopsisIn the last two decades Cohen-Macaulay rings and modules have been central topics in commutative algebra. This book meets the need for a thorough, self-contained introduction to the homological and combinatorial aspects of the theory of Cohen-Macaulay rings, Gorenstein rings, local cohomology, and canonical modules. A separate chapter is devoted to Hilbert functions (including Macaulay's theorem) and numerical invariants derived from them. The authors emphasize the study of explicit, specific rings, making the presentation as concrete as possible. So the general theory is applied to Stanley-Reisner rings, semigroup rings, determinantal rings, and rings of invariants. Their connections with combinatorics are highlighted, e.g. Stanley's upper bound theorem or Ehrhart's reciprocity law for rational polytopes. The final chapters are devoted to Hochster's theorem on big Cohen-Macaulay modules and its applications, including Peskine-Szpiro's intersection theorem, the Evans-Griffith syzygy thTrade Review' … a thorough, self-contained introduction to the homological and combinatorial aspects of the theory of Cohen–Macaulay rings … very useful for graduate courses in algebra. As the only modern, broad account of the subject, it will be essential reading for specialists as well.' L'Enseignement Mathématique'This book presents basic results in commutative algebra together with their applications in different special fields. It can be read immediately after an introductory text, but it brings you quickly to the main problems of the topic … A lot of useful informations are packed also in the exercises which follow each section and in the notes which follow each chapter.' Zentralblatt für MathematikTable of Contents1. Regular sequences and depth; 2. Cohen-Macaulay rings; 3. The canonical module. Gorenstein rings; 4. Hilbert functions and multiplicities; 5. Stanley-Reisner rings; 6. Semigroup rings and invariant theory; 7. Determinantal rings; 8. Big Cohen-Macaulay modules; 9. Homological theorems; 10. Tight closure.
£76.94
Cambridge University Press A Users Guide to Spectral Sequences Second Edition 58 Cambridge Studies in Advanced Mathematics Series Number 58
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£57.94
Cambridge University Press LMS 250 Characters Finite Groups London Mathematical Society Lecture Note Series Series Number 250
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£74.99
Cambridge University Press Geometric Galois Actions Volume 2 the Inverse Galois Problem Moduli Spaces and Mapping Class Groups London Mathematical Society Lecture Note Series Series Number 243
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£84.07
Cambridge University Press Representation Theory of Algebras 36 Cambridge Studies in Advanced Mathematics Series Number 36
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£83.59
Cambridge University Press Structured Ring Spectra 315 London Mathematical Society Lecture Note Series Series Number 315
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£65.86
Cambridge University Press Ideal Theory
Book SynopsisIn this introduction to the modern theory of ideals, Professor Northcott first discusses the properties of Noetherian rings and the algebraic and analytical theories of local rings. In order to give some idea of deeper applications of this theory the author has woven into the connected algebraic theory those results which play outstanding roles in the geometric applications.Table of ContentsAuthor's preface; Preliminaries; 1. The primary decomposition; 2. Residue rings and rings of quotients; 3. Some fundamental properties of noetherian rings; 4. The algebraic theory of local rings; 5. The analytic theory of local rings; Notes; References; Index of definitions.
£37.99
Cambridge University Press Finite Free Resolutions 71 Cambridge Tracts in Mathematics Series Number 71
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£52.60
Cambridge University Press Hopf Algebras
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£53.43
Cambridge University Press Applications of Process Algebra
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£81.69
Cambridge University Press Poisson Geometry Deformation Quantisation and Group Representations 323 London Mathematical Society Lecture Note Series Series Number 323
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£79.10
Cambridge University Press Geometric Analysis and Lie Theory in Mathematics and Physics 11 Australian Mathematical Society Lecture Series Series Number 11
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£56.74
Cambridge University Press An Introduction to Rings and Modules With KTheory in View 65 Cambridge Studies in Advanced Mathematics Series Number 65
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£103.11
Cambridge University Press KTheory for Operator Algebras
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£43.69
Cambridge University Press Representations and Cohomology v2 Volume 2 Cohomology of Groups and Modules Cambridge Studies in Advanced Mathematics Series Number 31
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£54.14
Cambridge University Press Aspects of Galois Theory 256 London Mathematical Society Lecture Note Series Series Number 256
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£61.71
Cambridge University Press Introduction to the Theory of Distributions
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£85.49
Cambridge University Press Representations of Reductive Groups 16 Publications of the Newton Institute Series Number 16
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£105.45
Cambridge University Press LMSST 47 Intro Lec Rings Modules London Mathematical Society Student Texts Series Number 47
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£42.74
Cambridge University Press LMSST 51 Steps Commut Algebra 2ed London Mathematical Society Student Texts Series Number 51
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£44.64
Cambridge University Press Foundations of Quantum Group Theory
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£76.94
Cambridge University Press Intro to Theory Distributions 2ed
Book SynopsisThe theory of distributions is an extension of classical analysis which has acquired a particular importance in the field of linear partial differential equations, as well as having many other applications, for example in harmonic analysis. Underlying it is the theory of topological vector spaces, but it is possible to give a systematic presentation without presupposing a knowledge, or using more than a bare minimum, of this. This book, first published in 1999, adopts this course and is based on graduate lectures given over a number of years. The prerequisites are few, but a reasonable degree of mathematical maturity is expected of the reader, as the treatment is rigorous throughout. From the outset the theory is developed in several variables, unlike most elementary texts; it is taken as far as such important topics as Schwartz kernels, the Paley-Wiener-Schwartz theorem and Sobolev spaces.Trade Review'… a very clear, accurate and stimulating version of an important topic, with the emphasis in the right place and with the minimum of fuss.' Review of the first edition in Bulletin of the London Mathematical SocietyTable of Contents1. Test functions and distributions; 2. Differentiation and multiplication; 3. Distributions and compact support; 4. Tensor products; 5. Convolution; 6. Distribution kernels; 7. Co-ordinate transforms and pullbacks; 8. Fourier transforms; 9. Plancherel's theorem; 10. The Fourier-Laplace transform; Appendix. Topological vector spaces; 11. The calculus of wavefront sets.
£41.79
Cambridge University Press Permutation Group Algorithms
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£105.45
Cambridge University Press Polynomials with Special Regard to Reducibility
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£151.05
Cambridge University Press An Introduction to Harmonic Analysis on Semisimple Lie Groups 16 Cambridge Studies in Advanced Mathematics Series Number 16
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£66.49
Cambridge University Press Modular Representations of Finite Groups of Lie Type 326 London Mathematical Society Lecture Note Series Series Number 326
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£71.65
Cambridge University Press Permutation Groups and Cartesian Decompositions
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£69.34
Cambridge University Press Intgrl Closure Ideals Rings Modules 336 London Mathematical Society Lecture Note Series Series Number 336
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£75.04