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Hodge Theory and Complex Algebraic Geometry II
Cambridge University Press 2003; US$ 43.00The second volume of this modern, self-contained account of Kaehlerian geometry and Hodge theory continues Voisin's study of topology of families of algebraic varieties and the relationships between Hodge theory and algebraic cycles. Aimed at researchers, the text is complemented by exercises which provide useful results in complex algebraic geometry. more...
Hodge Theory and Complex Algebraic Geometry I
Cambridge University Press 2002; US$ 43.00This is a completely self-contained modern introduction to Kaehlerian geometry and Hodge structure. The author proves the Kaehler identities, which leads to the hard Lefschetz theorem and the Hodge index theorem. Aimed at students, the text is complemented by exercises which provide useful results in complex algebraic geometry. more...
Permutation Group Algorithms
Cambridge University Press 2003; US$ 99.00Permutation group algorithms were instrumental in the proof of many deep results. This book describes the theory, up to the most recent developments, and includes hints for implementation and advanced exercises. It is recommended for everyone interested in using computers in group theory, and is suitable for advanced graduate courses. more...
Cohomology of Vector Bundles and Syzygies
Cambridge University Press 2003; US$ 106.00The central theme of this book is an exposition of the geometric technique of calculating syzygies. Written from a point of view of commutative algebra, no knowledge of representation theory is assumed. Several important applications are carefully considered, with numerous exercises for the reader. more...
Complex Polynomials
Cambridge University Press 2002; US$ 74.00This book studies the geometric theory of polynomials and rational functions in the plane. The theory is carefully constructed bearing in mind the needs of graduate students. Several unsolved problems are presented as well as the full solutions to some well known conjectures. more...
Abelian Varieties, Theta Functions and the Fourier Transform
Cambridge University Press 2003; US$ 89.00The aim of this book is to present a modern treatment of the theory of theta functions in the context of algebraic geometry. The novelty of its approach lies in the systematic use of the Fourier-Mukai transform. more...
Completely Bounded Maps and Operator Algebras
Cambridge University Press 2003; US$ 99.00This is a self-contained introduction to the principal results and ideas in the theories of completely positive maps, completely bounded maps, dilation theory, operator spaces and operator algebras, plus some of their main applications. An indispensable introduction to the theory of operator spaces for graduate students and experts alike. more...
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Cambridge University Press 2003; US$ 139.00The Korteweg-de Vries (KdV), the AKNS, the nonlinear Schrödinger, the sine-Gordon and the Camassa-Holm equations, and the Thirring system, are all completely integrable nonlinear PDEs permitting special classes of solutions. This is a detailed treatment of the class of algebro-geometric solutions and their representations in terms of Riemann theta... more...
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Cambridge University Press 2003; US$ 56.00Provides the reader with a solid foundation in set theory, while the inclusion of topics such as absoluteness, relative consistency results, two expositions of Godel's constructible universe, numerous ways of viewing recursion, and a chapter on Cohen forcing, will usher the advanced reader to the doorstep of the research literature. more...
Lectures in Logic and Set Theory: Volume 1, Mathematical Logic
Cambridge University Press 2003; US$ 36.00Includes formal proof techniques, a section on applications of compactness (including nonstandard analysis), a generous dose of computability and its relation to the incompleteness phenomenon, and the first presentation of a complete proof of Godel's 2nd incompleteness since Hilbert and Bernay's Grundlagen theorem. more...
