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Number Theory

Most popular at the top

  • 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...

  • Foliations 2005by Pawel Walczak; Rémi Langevin; Steven Hurder; Takashi Tsuboi

    World Scientific Publishing Company 2006; US$ 255.00

    This volume takes a look at the current state of the theory of foliations, with surveys and research articles concerning different aspects. The focused aspects cover geometry of foliated Riemannian manifolds, Riemannian foliations and dynamical properties of foliations and some aspects of classical dynamics related to the field. Among the articles... more...

  • Integral Geometry and Convexityby Eric L. Grinberg; Shougui Li; Gaoyong Zhang; Jiazu Zhou

    World Scientific Publishing Company 2006; US$ 192.00

    Integral geometry, known as geometric probability in the past, originated from Buffon's needle experiment. Remarkable advances have been made in several areas that involve the theory of convex bodies. This volume brings together contributions by leading international researchers in integral geometry, convex geometry, complex geometry, probability,... more...

  • The Universal Mandelbrot Setby V. Dolotin; A. Morozov

    World Scientific Publishing Company 2006; US$ 153.00

    This book is devoted to the structure of the Mandelbrot set — a remarkable and important feature of modern theoretical physics, related to chaos and fractals and simultaneously to analytical functions, Riemann surfaces, phase transitions and string theory. The Mandelbrot set is one of the bridges connecting the world of chaos and order. The... more...

  • Scissors Congruences, Group Homology & Characteristic Classesby Johan L. Dupont

    World Scientific Publishing Company 2001; US$ 95.00

    These lecture notes are based on a series of lectures given at the Nankai Institute of Mathematics in the fall of 1998. They provide an overview of the work of the author and the late Chih-Han Sah on various aspects of Hilbert's Third Problem: Are two Euclidean polyhedra with the same volume “scissors-congruent”, i.e. can they be... more...

  • The Index Theorem and the Heat Equation Methodby Y. L. Yu

    World Scientific Publishing Company 2001; US$ 163.00

    This book provides a self-contained representation of the local version of the Atiyah-Singer index theorem. It contains proofs of the Hodge theorem, the local index theorems for the Dirac operator and some first order geometric elliptic operators by using the heat equation method. The proofs are up to the standard of pure mathematics. In addition,... more...

  • Groups with Prescribed Quotient Groups and Associated Module Theoryby L. Kurdachenko; J. Otal; I. Subbotin

    World Scientific Publishing Company 2002; US$ 113.00

    The influence of different gomomorphic images on the structure of a group is one of the most important and natural problems of group theory. The problem of describing a group with all its gomomorphic images known, i.e. reconstructing the whole thing using its reflections, seems especially natural and promising. This theme has a history that is almost... more...

  • 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...

  • Branching Solutions to One-Dimensional Variational Problemsby A. O. Ivanov; A. A. Tuzhilin

    World Scientific Publishing Company 2001; US$ 218.00

    This book deals with the new class of one-dimensional variational problems — the problems with branching solutions. Instead of extreme curves (mappings of a segment to a manifold) we investigate extreme networks, which are mappings of graphs (one-dimensional cell complexes) to a manifold. Various applications of the approach are presented, such... more...