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Using Algebraic Geometry
Springer-Verlag New York Inc 2006; US$ 43.99The discovery of algorithms for dealing with polynomial equations, coupled with their implementation on fast inexpensive computers, has sparked a minor revolution in the study and practice of algebraic geometry. This book illustrates the uses of algebraic geometry, highlighting some of the applications of Grobner bases and resultants. more...
Introduction to Algebraic Geometry
Cambridge University Press 2007; US$ 37.00Central concepts most useful for computation; for undergraduate/graduate students in mathematics, researchers in applications. more...
Buildings, Finite Geometries and Groups
Springer 2011; US$ 119.99This is the Proceedings of the ICM 2010 Satellite Conference on "Buildings, Finite Geometries and Groups" organized at the Indian Statistical Institute, Bangalore, during August 29 - 31, 2010. This is a collection of articles by some of the currently very active research workers in several areas related to finite simple groups, Chevalley... more...
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...
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...
Computational Algebraic Geometry
Cambridge University Press 2003; US$ 36.00The interplay between algebra and geometry is a beautiful area of mathematical investigation. Recent advances in computing and algorithms make it possible to tackle many classical problems in a down-to-earth and concrete fashion. This opens new vistas and allows us to pose, study and solve problems previously out of reach. more...
Duality in Optimization and Variational Inequalities
CRC Press 2002; US$ 107.95Although presented as a topic of low emphasis in introductory course work, duality plays a central role in optimization theory and application. This comprehensive volume covers a wide range of duality topics ranging from simple ideas in network flows to complex issues in non-convex optimization and multicriteria problems. In addition, it examines duality... more...









