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Number Theory

Most popular at the top

  • Mathematics and the 21st Centuryby A. A. Ashour; A. S. F. Obada

    World Scientific Publishing Company 2001; US$ 274.00

    Contents: Millennium Lecture — Cairo, 15 January 2000 (M Atiyah); Trends for Science and Mathematics in the 21st Century (P A Griffiths); Arabic Mathematics and Rewriting the History of Mathematics (R Rashed); The Paradigm Shift in Mathematics Education: A Scenario for Change (W Ebeid); Einstein's Theory of Spacetime and Gravity (J Ehlers);... 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...

  • Measure, Integration and Function Spacesby Charles Swartz

    World Scientific Publishing Company 1994; US$ 112.00

    This text contains a basic introduction to the abstract measure theory and the Lebesgue integral. Most of the standard topics in the measure and integration theory are discussed. In addition, topics on the Hewitt-Yosida decomposition, the Nikodym and Vitali-Hahn-Saks theorems and material on finitely additive set functions not contained in standard... 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...

  • 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...

  • A Mathematician and His Mathematical Workby Shiing-Shen Chern; S-.Y. Cheng

    World Scientific Publishing Company 1996; US$ 179.00

    This volume is about the life and work of Shiing-Shen Chern (1911–), one of the leading mathematicians of this century. The book contains personal accounts by some friends, together with a summary of the mathematical works by Chern himself. Besides a selection of the mathematical papers the book also contains all his papers published after 1988. 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...

  • 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...

  • Lectures on Finsler Geometryby Zhongmin Shen

    World Scientific Publishing Company 2001; US$ 127.00

    In 1854, B Riemann introduced the notion of curvature for spaces with a family of inner products. There was no significant progress in the general case until 1918, when P Finsler studied the variation problem in regular metric spaces. Around 1926, L Berwald extended Riemann's notion of curvature to regular metric spaces and introduced an important... more...