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Number Theory

Most popular at the top

  • High-Dimensional Manifold Topologyby R.T. Farrell; Wolfgang Luck

    World Scientific Publishing Company 2003; US$ 350.00

    This work covers topics such as manifolds with positive scalar curvature, pseudo-isotopy spectrum and controlled theory, and reduction of the Novikov and Borel conjectures for aspherical complexes to aspherical manifolds. more...

  • The Collected Papers of Wei-Liang Chowby Wei-Liang Chow; Shiing-Shen Chern; Vyachesav V. Shokurov

    World Scientific Publishing Company 2002; US$ 200.00

    This invaluable book contains the collected papers of Prof Wei-Liang Chow, an original and versatile mathematician of the 20th Century. Prof Chow's name has become a household word in mathematics because of the Chow ring, Chow coordinates, and Chow's theorem on analytic sets in projective spaces. The Chow ring has many advantages and is widely... more...

  • Goldbach Conjectureby Yuan Wang; Stanley Liu

    World Scientific Publishing Company 2002; US$ 187.00

    This book provides a detailed description of a most important unsolved mathematical problem — the Goldbach conjecture. Raised in 1742 in a letter from Goldbach to Euler, this conjecture attracted the attention of many mathematical geniuses. Several great achievements were made, but only until the 1920's. The book gives an exposition of... 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...

  • 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...

  • 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...