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Number Theory

Most popular at the top

  • Differential Geometry and Related Topicsby Gu Chaohao; Hu Hesheng; Li Tatsien

    World Scientific Publishing Company 2002; US$ 193.00

    The International Conference on Modern Mathematics and the International Symposium on Differential Geometry, in honor of Professor Su Buchin on the centenary of his birth, were held in September 2001 at Fudan University, Shanghai, China. Around 100 mathematicians from China, France, Japan, Singapore and the United States participated. The proceedings... more...

  • An Introduction to the Classification of Amenable C*-Algebrasby Huaxin Lin

    World Scientific Publishing Company 2001; US$ 163.00

    The theory and applications of C ∗ -algebras are related to fields ranging from operator theory, group representations and quantum mechanics, to non-commutative geometry and dynamical systems. By Gelfand transformation, the theory of C ∗ -algebras is also regarded as non-commutative topology. About a decade ago, George A. Elliott initiated... more...

  • Completely Positive Matricesby Abraham Berman; Naomi Shaked-Monderer

    World Scientific Publishing Company 2003; US$ 119.00

    A real matrix is positive semidefinite if it can be decomposed as A = BB′ . In some applications the matrix B has to be elementwise nonnegative. If such a matrix exists, A is called completely positive. The smallest number of columns of a nonnegative matrix B such that A = BB′ is known as the cp- rank of A . This invaluable book focuses... more...

  • Geometric Properties of Natural Operators Defined by the Riemann Curvature Tensorby Peter B. Gilkey

    World Scientific Publishing Company 2001; US$ 136.00

    A central problem in differential geometry is to relate algebraic properties of the Riemann curvature tensor to the underlying geometry of the manifold. The full curvature tensor is in general quite difficult to deal with. This book presents results about the geometric consequences that follow if various natural operators defined in terms of the Riemann... more...

  • New Visual Perspectives on Fibonacci Numbersby K. T. Atanassov; V. Atanassova; A. G. Shannon; J. C. Turner

    World Scientific Publishing Company 2002; US$ 153.00

    This book covers new ground on Fibonacci sequences and the well-known Fibonacci numbers. It will appeal to research mathematicians wishing to advance the new ideas themselves, and to recreational mathematicians, who will enjoy the various visual approaches and the problems inherent in them. There is a continuing emphasis on diagrams, both geometric... more...

  • An Introduction to Finsler Geometryby Xiaohuan Mo

    World Scientific Publishing Company 2006; US$ 128.00

    This introductory book uses the moving frame as a tool and develops Finsler geometry on the basis of the Chern connection and the projective sphere bundle. It systematically introduces three classes of geometrical invariants on Finsler manifolds and their intrinsic relations, analyzes local and global results from classic and modern Finsler geometry,... more...

  • Arithmetic Geometry and Number Theoryby Lin Weng; Iku Nakamura

    World Scientific Publishing Company 2006; US$ 142.00

    Mathematics is very much a part of our culture; and this invaluable collection serves the purpose of developing the branches involved, popularizing the existing theories and guiding our future explorations.More precisely, the goal is to bring the reader to the frontier of current developments in arithmetic geometry and number theory through the works... 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...

  • 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...

  • 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...