Bisac: MAT002010

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## Homological Algebra (PMS-19)When this book was written, methods of algebraic topology had caused revolutions in the world of pure algebra. To clarify the advances that had been made, Cartan and Eilenberg tried to unify the fields and to construct the framework of a fully fledged theory. The invasion of algebra had occurred on three fronts through the construction of cohomology theories for groups, Lie algebras, and associative algebras. This book presents a single homology (and also cohomology) theory that embodies all three; a large number of results is thus established in a general framework. Subsequently, each of the... | Henry Cartan & Samuel Eilenberg | 5 May 2016 | $105.00£81.60 €94.55 Ca$137.45 Au$140.61 | to wish list |

## Representation Theory of Semisimple Groups: An Overview Based on Examples (PMS-36)In this classic work, Anthony W. Knapp offers a survey of representation theory of semisimple Lie groups in a way that reflects the spirit of the subject and corresponds to the natural learning process. This book is a model of exposition and an invaluable resource for both graduate students and researchers. Although theorems are always stated precisely, many illustrative examples or classes of examples are given. To support this unique approach, the author includes for the reader a useful 300-item bibliography and an extensive section of notes. | Anthony W. Knapp | 5 May 2016 | $145.00£112.69 €130.57 Ca$189.82 Au$194.18 | to wish list |

## Theory of Lie Groups (PMS-8)This famous book was the first treatise on Lie groups in which a modern point of view was adopted systematically, namely, that a continuous group can be regarded as a global object. To develop this idea to its fullest extent, Chevalley incorporated a broad range of topics, such as the covering spaces of topological spaces, analytic manifolds, integration of complete systems of differential equations on a manifold, and the calculus of exterior differential forms. The book opens with a short description of the classical groups: unitary groups, orthogonal groups, symplectic groups, etc. These special... | Claude Chevalley | 5 May 2016 | $75.00£58.29 €67.53 Ca$98.18 Au$100.44 | to wish list |

## Cohomological Induction and Unitary Representations (PMS-45)This book offers a systematic treatment--the first in book form--of the development and use of cohomological induction to construct unitary representations. George Mackey introduced induction in 1950 as a real analysis construction for passing from a unitary representation of a closed subgroup of a locally compact group to a unitary representation of the whole group. Later a parallel construction using complex analysis and its associated co-homology theories grew up as a result of work by Borel, Weil, Harish-Chandra, Bott, Langlands, Kostant, and Schmid. Cohomological induction, introduced by... | Anthony W. Knapp & David A. Vogan Jr. | 2 May 2016 | $187.00£145.32 €168.39 Ca$244.80 Au$250.42 | to wish list |

## Geometry of Sets and Measures in Euclidean SpacesNow in paperback, the main theme of this book is the study of geometric properties of general sets and measures in euclidean spaces. Applications of this theory include fractal-type objects such as strange attractors for dynamical systems and those fractals used as models in the sciences. The author provides a firm and unified foundation and develops all the necessary main tools, such as covering theorems, Hausdorff measures and their relations to Riesz capacities and Fourier transforms. The last third of the book is devoted to the Beisovich-Federer theory of rectifiable sets, which form in... | Pertti Mattila | 28 Oct 2015 | $76.00£59.06 €68.43 Ca$99.49 Au$101.78 | to wish list |

## Exercises in Fourier AnalysisFor physicists, engineers and mathematicians, Fourier analysis constitutes a tool of great usefulness. A wide variety of the techniques and applications of the subject were discussed in Dr Körner's highly popular book, Fourier Analysis. Now Dr Körner has compiled a collection of exercises on Fourier analysis that will thoroughly test the understanding of the reader. They are arranged chapter by chapter to correspond with Fourier Analysis, and for all who enjoyed that book, this companion volume will be an essential purchas | T. W. K?rner | 27 Oct 2015 | $56.00£43.52 €50.43 Ca$73.31 Au$74.99 | to wish list |

## Elementary Algebraic Geometry: Second EditionDesigned to make learning introductory algebraic geometry as easy as possible, this text is intended for advanced undergraduates and graduate students who have taken a one-year course in algebra and are familiar with complex analysis. This newly updated second edition enhances the original treatment's extensive use of concrete examples and exercises with numerous figures that have been specially redrawn in Adobe Illustrator. An introductory chapter that focuses on examples of curves is followed by a more rigorous and careful look at plane curves. Subsequent chapters explore commutative ring... | Keith Kendig | 30 Jan 2015 | $22.95£17.84 €20.67 Ca$30.04 Au$30.73 | to wish list |

## Homology Theory on Algebraic VarietiesConcise and authoritative, this monograph is geared toward advanced undergraduate and graduate students. The main theorems whose proofs are given here were first formulated by Lefschetz and have since turned out to be of fundamental importance in the topological aspects of algebraic geometry. The proofs are fairly elaborate and involve a considerable amount of detail; therefore, some appear in separate chapters that include geometrical descriptions and diagrams. The treatment begins with a brief introduction and considerations of linear sections of an algebraic variety as well as singular and... | Andrew H. Wallace | 25 Nov 2014 | $12.95£10.06 €11.66 Ca$16.95 Au$17.34 | to wish list |

## Introduction to the Theory of Abstract AlgebrasIntended for beginning graduate-level courses, this text introduces various aspects of the theory of abstract algebra. The book is also suitable as independent reading for interested students at that level as well as a primary source for a one-semester course that an instructor may supplement to expand to a full year. Author Richard S. Pierce, a Professor of Mathematics at Seattle's University of Washington, places considerable emphasis on applications of the theory and focuses particularly on lattice theory. After a preliminary review of set theory, the treatment presents the basic definitions... | Richard S. Pierce | 25 Nov 2014 | $14.95£11.62 €13.46 Ca$19.57 Au$20.02 | to wish list |

## Arithmetic Differential Operators Over the P-Adic IntegersThe study of arithmetic differential operators is a novel and promising area of mathematics. This complete introduction to the subject starts with the basics: a discussion of p-adic numbers and some of the classical differential analysis on the field of p-adic numbers leading to the definition of arithmetic differential operators on this field. Buium's theory of arithmetic jet spaces is then developed succinctly in order to define arithmetic operators in general. Features of the book include a comparison of the behaviour of these operators over the p-adic integers and their behaviour over the... | Claire C. Ralph & Santiago R. Simanca | 16 Sep 2014 | $60.00£46.63 €54.03 Ca$78.54 Au$80.35 | to wish list |

## Groups, Rings, ModulesThis classic monograph is geared toward advanced undergraduates and graduate students. The treatment presupposes some familiarity with sets, groups, rings, and vector spaces. The four-part approach begins with examinations of sets and maps, monoids and groups, categories, and rings. The second part explores unique factorization domains, general module theory, semisimple rings and modules, and Artinian rings. Part three's topics include localization and tensor products, principal ideal domains, and applications of fundamental theorem. The fourth and final part covers algebraic field extensions... | Maurice Auslander & David Buchsbaum | 10 Aug 2014 | $29.95£23.28 €26.97 Ca$39.21 Au$40.11 | to wish list |

## Elements of Abstract Algebra | Allan Clark | 3 Feb 2014 | $12.95£10.06 €11.66 Ca$16.95 Au$17.34 | to wish list |

## Abstract Algebra | W. E. Deskins | 31 Jan 2014 | $24.95£19.39 €22.47 Ca$32.66 Au$33.41 | to wish list |

## Basic Abstract Algebra: For Graduate Students and Advanced Undergraduates | Robert B. Ash | 25 Jan 2014 | $24.95£19.39 €22.47 Ca$32.66 Au$33.41 | to wish list |

## The Skeleton Key of Mathematics: A Simple Account of Complex Algebraic Theories | D. E. Littlewood | 21 Jan 2014 | $9.95£7.73 €8.96 Ca$13.03 Au$13.32 | to wish list |

## Abstract Lie Algebras | David J. Winter | 12 Jan 2014 | $11.95£9.29 €10.76 Ca$15.64 Au$16.00 | to wish list |

## A Primer of Algebraic D-ModulesThe 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... | S. C. Coutinho | 30 Apr 2013 | $44.00£34.19 €39.62 Ca$57.60 Au$58.92 | to wish list |

## Dynamics, Statistics and Projective Geometry of Galois FieldsV. I. Arnold reveals some unexpected connections between such apparently unrelated theories as Galois fields, dynamical systems, ergodic theory, statistics, chaos and the geometry of projective structures on finite sets. The author blends experimental results with examples and geometrical explorations to make these findings accessible to a broad range of mathematicians, from undergraduate students to experienced researchers. | V. I. Arnold | 9 Apr 2012 | $32.00£24.87 €28.81 Ca$41.89 Au$42.85 | to wish list |

## Clifford Algebras: An IntroductionClifford algebras, built up from quadratic spaces, have applications in many areas of mathematics, as natural generalizations of complex numbers and the quaternions. They are famously used in proofs of the AtiyahÃ±Singer index theorem, to provide double covers (spin groups) of the classical groups and to generalize the Hilbert transform. They also have their place in physics, setting the scene for Maxwell's equations in electromagnetic theory, for the spin of elementary particles and for the Dirac equation. This straightforward introduction to Clifford algebras makes the necessary algebraic... | D. J. H. Garling | 3 Apr 2012 | $40.00£31.09 €36.02 Ca$52.36 Au$53.57 | to wish list |

## Elliptic Tales
The key to the conjecture lies in elliptic curves, which are cubic equations in two variables. These equations may appear simple, yet they arise from... | Avner Ash & Robert Gross | 4 Feb 2012 | $16.95£13.17 €15.26 Ca$22.19 Au$22.70 | to wish list |

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