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Number Theory

Most popular at the top

  • Ring Constructions and Applicationsby Andrei V. Kelarev

    World Scientific Publishing Company 2001; US$ 107.00

    This book contains the definitions of several ring constructions used in various applications. The concept of a groupoid-graded ring includes many of these constructions as special cases and makes it possible to unify the exposition. Recent research results on groupoid-graded rings and more specialized constructions are presented. In addition, there... more...

  • Algebraic Invariants of Linksby Jonathan Hillman

    World Scientific Publishing Company 2002; US$ 98.00

    This book is intended as a reference on links and on the invariants derived via algebraic topology from covering spaces of link exteriors. It emphasizes features of the multicomponent case not normally considered by knot theorists, such as longitudes, the homological complexity of many-variable Laurent polynomial rings, free coverings of homology boundary... more...

  • Symplectic Geometry and Mirror Symmetryby K. Fukaya; Y. G. Oh; K. Ono; G. Tian

    World Scientific Publishing Company 2001; US$ 260.00

    In 1993, M Kontsevich proposed a conceptual framework for explaining the phenomenon of mirror symmetry. Mirror symmetry had been discovered by physicists in string theory as a duality between families of three-dimensional Calabi–Yau manifolds. Kontsevich's proposal uses Fukaya's construction of the A ∞ -category of Lagrangian... more...

  • Automorphic Forms and Zeta Functionsby Siegfried Böcherer; Tomoyoshi Ibukiyama; Masanobu Kaneko; Fumihiro Sato

    World Scientific Publishing Company 2006; US$ 236.00

    This volume contains a valuable collection of articles presented at a conference on Automorphic Forms and Zeta Functions in memory of Tsuneo Arakawa, an eminent researcher in modular forms in several variables and zeta functions. The book begins with a review of his works, followed by 16 articles by experts in the fields including H Aoki, R Berndt,... more...

  • Fat Manifolds and Linear Connectionsby Alessandro De Paris

    World Scientific Publishing Company 2008; US$ 152.00

    In this unique book, written in a reasonably self-contained manner, the theory of linear connections is systematically presented as a natural part of differential calculus over commutative algebras. This not only makes easy and natural numerous generalizations of the classical theory and reveals various new aspects of it, but also shows in a clear... more...

  • The Kobayashi-Hitchin Correspondenceby Martin Lubke; A. Teleman

    World Scientific Publishing Company 1995; US$ 99.00

    By the Kobayashi-Hitchin correspondence, the authors of this book mean the isomorphy of the moduli spaces M st of stable holomorphic — resp. M HE of irreducible Hermitian–Einstein — structures in a differentiable complex vector bundle on a compact complex manifold. They give a complete proof of this result in the most general setting,... more...

  • Geometry and Topology of Submanifolds Ixby L. Verstraelen; F. Defever; J.M. Morvan; I. Van Der Woestijne; G. Zafindratafa

    World Scientific Publishing Company 1999; US$ 149.00

    This text covers topics such as: contract metric R-harmonic manifolds; hypersurfaces in space forms with some constant curvature functions; manifolds of pseudodynamics; cubic forms generated by functions on projectively flat spaces; and distinguished submanifolds of a Sasakian manifold. more...

  • Lectures on the Geometry of Manifoldsby Liviu I. Nicolaescu

    World Scientific Publishing Company 1996; US$ 123.00

    The object of this book is to introduce the reader to some of the most important techniques of modern global geometry. In writing it we had in mind the beginning graduate student willing to specialize in this very challenging field of mathematics. The necessary prerequisite is a good knowledge of the calculus with several variables, linear algebra... more...

  • Geometry and Analysis on Complex Manifoldsby Toshiki Mabuchi; J. Noguchi; T. Ochiai

    World Scientific Publishing Company 1994; US$ 156.00

    This volume presents papers dedicated to Professor Shoshichi Kobayashi, commemorating the occasion of his sixtieth birthday on January 4, 1992.The principal theme of this volume is “Geometry and Analysis on Complex Manifolds”. It emphasizes the wide mathematical influence that Professor Kobayashi has on areas ranging from differential... more...

  • Affine Algebraic Geometryby Kayo Masuda; Hideo Kojima; Takashi Kishimoto

    World Scientific Publishing Company 2013; US$ 161.00

    The present volume grew out of an international conference on affine algebraic geometry held in Osaka, Japan during 3-6 March 2011 and is dedicated to Professor Masayoshi Miyanishi on the occasion of his 70th birthday. It contains 16 refereed articles in the areas of affine algebraic geometry, commutative algebra and related fields, which have been... more...