Algebra Books
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
Cambridge University Press Elements of the Representation Theory of Associative Algebras Volume 3 RepresentationInfinite Tilted Algebras London Mathematical Society Student Texts Series Number 72
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£55.09
Cambridge University Press Groups and Analysis The Legacy of Hermann Weyl 354 London Mathematical Society Lecture Note Series Series Number 354
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£79.10
Cambridge University Press conceptualmathematics
Book SynopsisConceptual Mathematics introduces the concept of category to beginning students and practising mathematical scientists based on a leisurely introduction to the important categories of directed graphs and discrete dynamical systems. The expanded second edition approaches more advanced topics via historical sketches and a concise introduction to adjoint functors.Trade Review'This text, written by two experts in Category Theory and tried out carefully in courses at SUNY Buffalo, provides a simple and effective first course on conceptual mathematics.' American Mathematical Monthly'… every mathematician should know the basic ideas and techniques explained in this book …' Monatshefte für Mathematik'Conceptual Mathematics provides an excellent introductory account to categories for those who are starting from scratch. It treats material which will appear simple and familiar to many philosophers, but in an unfamiliar way.' Studies in History and Philosophy of Modern Physics'Category Theory slices across the artificial boundaries dividing algebra, arithmetic, calculus, geometry, logic, topology. If you have students you wish to introduce to the subject, I suggest this delightfully elementary book . Lawvere is one of the greatest visionaries of mathematics in the last half of the twentieth century. He characteristically digs down beneath the foundations of a concept in order to simplify its understanding. Schanuel has published research in diverse areas of Algebra, Topology, and Number Theory and is known as a great teacher. I have recommended this book to motivated high school students. I certainly suggest it for undergraduates. I even suggest it for the mathematician who needs a refresher on modern concepts.' National Association of Mathematicians Newsletter'Conceptual Mathematics is the first book to serve both as a skeleton key to mathematics for the general reader or beginning student and as an introduction to categories for computer scientists, logicians, physicists, linguists, etc … The fundamental ideas are illuminated in an engaging way.' L'Enseignment MathématiqueTable of ContentsForeword; Note to the reader; Preview; Part I. The Category of Sets: 1. Sets, maps, composition; Part II. The Algebra of Composition: 2. Isomorphisms; Part III. Categories of Structured Sets: 3. Examples of categories; Part IV. Elementary Universal Mapping Properties: 4. Universal mapping properties; Part V. Higher Universal Mapping Properties: 5. Map objects; 6. The contravariant parts functor; 7. The components functor; Appendix 1. Geometry of figures and algebra of functions; Appendix 2. Adjoint functors; Appendix 3. The emergence of category theory within mathematics; Appendix 4. Annotated bibliography.
£44.64
Cambridge University Press Analysis on Lie Groups An Introduction Cambridge Studies in Advanced Mathematics Series Number 110
Book SynopsisA self-contained and elementary presentation of Lie group theory, concentrating on analysis on Lie groups. The author describes in detail many interesting examples with topics ranging from Haar measure to harmonic functions. With numerous exercises and worked examples, it's ideal for a graduate course on analysis on Lie groups.Trade Review"The main themes are carefully explained and illustrated by well-chosen examples. He succeeds in putting a remarkable wealth of material into a 300-page book which will certainly serve as a basis for many courses on the subject." Joachim Hilgert, Mathematical ReviewsTable of ContentsPreface; 1. The linear group; 2. The exponential map; 3. Linear Lie groups; 4. Lie algebras; 5. Haar measure; 6. Representations of compact groups; 7. The groups SU(2) and SO(3), Haar measure; 8. Analysis on the group SU(2); 9. Analysis on the sphere; 10. Analysis on the spaces of symmetric and Hermitian matrices; 11. Irreducible representations of the unitary group; 12. Analysis on the unitary group; Bibliography; Index.
£76.94
Cambridge University Press An Introduction to Galois Cohomology and its Applications 377 London Mathematical Society Lecture Note Series Series Number 377
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£66.68
Cambridge University Press Words Notes on Verbal Width in Groups
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£55.91
Cambridge University Press Differential Tensor Algebras and their Module Categories 362 London Mathematical Society Lecture Note Series Series Number 362
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£65.02
Cambridge University Press How to Fold It The Mathematics of Linkages Origami and Polyhedra
Book SynopsisDiscover and understand mathematical theorems through paper folding, starting with high school algebra and geometry through to more advanced concepts.Trade Review'The major theorems presented are remarkable - results that may surprise the reader include the fact that, with the right folds, any shape or collection of shapes (even ones with holes in) … composed of straight lines may be cut out from a sheet of paper with just a single cut.' London Mathematical Society Newsletter'In this beautiful and inspiring book with many colour figures the reader can find a fascinating mathematical approach to linkages, foldings and unfoldings. Many exercises with detailed solutions give the reader the chance to control the acquired skills.' Hansueli Hosli, Zentralblatt MATH'… a great book for someone who wants to learn about the mathematics behind origami without being overwhelmed by the mathematics itself. This is a great book for a high school or undergraduate student to get introduced to the open problems in computational origami.' Brittany Terese Fasy and David L. Millman, SIGACT NewsTable of ContentsPart I. Linkages: 1. Robot arms; 2. Straight-line linkages and the pantograph; 3. Protein folding and pop-up cards; Part II. Origami: 4. Flat vertex folds; 5. Fold and one-cut; 6. The shopping bag theorem; Part III. Polyhedra: 7. Durer's problem: edge unfolding; 8. Unfolding orthogonal polyhedra; 9. Folding polygons to convex polyhedra; 10. Further reading; 11. Glossary; 12. Answers to exercises; 13. Permissions and acknowledgments.
£100.70
Cambridge University Press Representations of Groups A Computational Approach 124 Cambridge Studies in Advanced Mathematics Series Number 124
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£48.44
Cambridge University Press Information Theory and Coding by Example
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£117.00
Cambridge University Press orientedmatroids
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£88.21
Cambridge University Press An Introduction to KTheory for CAlgebras 49 London Mathematical Society Student Texts Series Number 49
Book SynopsisOver the last 25 years K-theory has become an integrated part of the study of C*-algebras. This book gives an elementary introduction to this interesting and rapidly growing area of mathematics. Fundamental to K-theory is the association of a pair of Abelian groups, K0(A) and K1(A), to each C*-algebra A. These groups reflect the properties of A in many ways. This book covers the basic properties of the functors K0 and K1 and their interrelationship. Applications of the theory include Elliott's classification theorem for AF-algebras, and it is shown that each pair of countable Abelian groups arises as the K-groups of some C*-algebra. The theory is well illustrated with 120 exercises and examples, making the book ideal for beginning graduate students working in functional analysis, especially operator algebras, and for researchers from other areas of mathematics who want to learn about this subject.Trade Review'The textbook is a nice introduction to the subject preparing the ground for the study of more advanced texts.' H. Schröder, Zentralblatt für MathematikTable of ContentsPreface; 1. C*-algebra theory; 2. Projections and unitary elements; 3. The K0-group of a unital C*-algebra; 4. The functor K0; 5. The ordered Abelian group K0(A); 6. Inductive limit C*-algebras; 7. Classification of AF-algebras; 8. The functor K1; 9. The index map; 10. The higher K-functors; 11. Bott periodicity; 12. The six-term exact sequence; 13. Inductive limits of dimension drop algebras; References; Table of K-groups; Index of symbols; General index.
£111.15
Cambridge University Press Finite Group Theory Cambridge Studies in Advanced Mathematics Series Number 10
Book SynopsisFinite Group Theory develops the foundations of the theory of finite groups with an emphasis on the finite simple groups. It can serve as a text for advanced undergraduates or graduate students in mathematics and as a basic reference for research mathematicians.Trade Review'I consider this book as an extremely valuable source and help for anyone interested in a serious study of finite groups.' U. Dempwolff, Zentralblatt MATHTable of Contents1. Preliminary results; 2. Permutation representations; 3. Representations of groups on groups; 4. Linear representations; 5. Permutation groups; 6. Extensions of groups and modules; 7. Spaces with forms; 8. p-Groups; 9. Change of field of a linear representation; 10. Presentations of groups; 11. The generalized Fitting subgroup; 12. Linear representations of finite groups; 13. Transfer and fusion; 14. The geometry of groups of Lie type; 15. Signalizer functors; 16. Finite simple groups.
£41.79
Cambridge University Press Computational and Geometric Aspects of Modern Algebra 275 London Mathematical Society Lecture Note Series Series Number 275
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£61.71
Cambridge University Press Topics in Symbolic Dynamics and Applications 279 London Mathematical Society Lecture Note Series Series Number 279
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£58.40
Cambridge University Press AuslanderBuchweitz Approximations of Equivariant Modules 282 London Mathematical Society Lecture Note Series Series Number 282
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£61.71
Cambridge University Press Random Matrix Models and their Applications
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£122.55
Cambridge University Press Galois Theories 72 Cambridge Studies in Advanced Mathematics Series Number 72
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£122.55
Cambridge University Press Continuous Lattices and Domains 93 Encyclopedia of Mathematics and its Applications Series Number 93
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£194.75
Cambridge University Press Matrix Calculus and ZeroOne Matrices
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£95.00
Cambridge University Press Galois Groups and Fundamental Groups
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£133.95
Cambridge University Press Algebraic Combinatorics on Words 90 Encyclopedia of Mathematics and its Applications Series Number 90
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£133.95
Cambridge University Press Algebra and Geometry
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£90.24