Books

16 results found
Title Authors Description OpenBook ID
Zariski geometries Zariski geometries Boris Zilber "This book presents methods and results from the theory of Zariski structures and discusses their applications in geometry as well as various other mathematical fields. Its logical approach helps us … OL15640025W
Classical algebraic geometry Classical algebraic geometry I. Dolgachev "Algebraic geometry has benefited enormously from the powerful general machinery developed in the latter half of the twentieth century. The cost has been that much of the research of previous generat… OL16681410W
Foundations Of Geometric Algebra Computing Foundations Of Geometric Algebra Computing Dietmar Hildenbrand <p>The author defines “Geometric Algebra Computing” as the geometrically intuitive development of algorithms using geometric algebra with a focus on their efficient implementation, and the goal of th… OL17377183W
Geometric algebra with applications in science and engineering Geometric algebra with applications in science and engineering Eduardo Bayro Corrochano "This book is a resource for a broad audience of professionals researchers and practitioners, computer scientists, engineers, applied physicists, and applied mathematicians. The book contains many ex… OL18569772W
Moonshine Moonshine J. Lepowsky "In 1979, John Conway and Simon Norton's famous paper, 'Monstrous Moonshine', outlined the remarkable connection between the monster group M and the theory of modular functions. The search for an exp… OL18713768W
Algebraic cycles, sheaves, shtukas, and moduli Algebraic cycles, sheaves, shtukas, and moduli Józef Maria Hoene-Wroński,Piotr Pragacz The articles in this volume are devoted to: - moduli of coherent sheaves; - principal bundles and sheaves and their moduli; - new insights into Geometric Invariant Theory; - stacks of shtukas and the… OL19614496W
Algorithms in Real Algebraic Geometry Algorithms in Real Algebraic Geometry Saugata Basu The algorithmic problems of real algebraic geometry such as real root counting, deciding the existence of solutions of systems of polynomial equations and inequalities, or deciding whether two points… OL19825605W
Gröbner Deformations of Hypergeometric Differential Equations Gröbner Deformations of Hypergeometric Differential Equations Mutsumi Saito In recent years, new algorithms for dealing with rings of differential operators have been discovered and implemented. A main tool is the theory of Gröbner bases, which is reexamined here from the po… OL19853435W
Introduction to the Mori Program Introduction to the Mori Program Kenji Matsuki The purpose of this book is to give a comprehensible account of what is called Mori's Program, that is an approach to the following problem: classify all the projective varieties X /in P^n over C up … OL19859115W
Lie Theory and Its Applications in Physics Lie Theory and Its Applications in Physics Vladimir Dobrev Traditionally, Lie Theory is a tool to build mathematical models for physical systems. Recently, the trend is towards geometrisation of the mathematical description of physical systems and objects. A… OL19883990W
Representations of finite and Lie groups Representations of finite and Lie groups C. B. Thomas This book provides an introduction to representations of both finiteand compact groups. The proofs of the basic results are given for thefinite case, but are so phrased as to hold without change for … OL19899612W
Representation Theories and Algebraic Geometry Representation Theories and Algebraic Geometry Abraham Broer The 12 lectures presented in Representation Theories and Algebraic Geometry focus on the very rich and powerful interplay between algebraic geometry and the representation theories of various modern … OL19899614W
Modular Forms and Fermat's Last Theorem Modular Forms and Fermat's Last Theorem Gary Cornell The book will focus on two major topics: (1) Andrew Wiles' recent proof of the Taniyama-Shimura-Weil conjecture for semistable elliptic curves; and (2) the earlier works of Frey, Serre, Ribet showing… OL2291417W
Field arithmetic Field arithmetic Michael D. Fried Field Arithmetic explores Diophantine fields through their absolute Galois groups. This largely self-contained treatment starts with techniques from algebraic geometry, number theory, and profinite g… OL5273473W
Introduction to Algebraic Geometry Introduction to Algebraic Geometry Brendan Hassett Algebraic geometry, central to pure mathematics, has important applications in such fields as engineering, computer science, statistics and computational biology, which exploit the computational algo… OL8326375W
Quantum stochastic processes and noncommutative geometry Quantum stochastic processes and noncommutative geometry Kalyan B. Sinha The classical theory of stochastic processes has important applications arising from the need to describe irreversible evolutions in classical mechanics; analogously quantum stochastic processes can … OL8331966W