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Number Theory

Most popular at the top

  • 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...

  • Variational Principles for Second-Order Differential Equationsby Joseph Grifone; Zoltan Muzsnay

    World Scientific Publishing Company 2000; US$ 105.00

    The inverse problem of the calculus of variations was first studied by Helmholtz in 1887 and it is entirely solved for the differential operators, but only a few results are known in the more general case of differential equations. This book looks at second-order differential equations and asks if they can be written as Euler–Lagrangian equations.... 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...

  • 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...

  • 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...

  • 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...

  • Torsors, Étale Homotopy and Applications to Rational Pointsby Alexei N. Skorobogatov

    Cambridge University Press 2013; US$ 56.00

    Lecture notes and research articles on the use of torsors and étale homotopy in algebraic and arithmetic geometry. more...

  • Number Theoryby John J. Watkins

    Princeton University Press 2013; US$ 75.00

    The natural numbers have been studied for thousands of years, yet most undergraduate textbooks present number theory as a long list of theorems with little mention of how these results were discovered or why they are important. This book emphasizes the historical development of number theory, describing methods, theorems, and proofs in the contexts... more...

  • Algebraic Theory of Quadratic Numbersby Mak Trifkovic

    Springer 2013; US$ 69.99

    By focusing on quadratic numbers, this advanced undergraduate or master?s level textbook on algebraic number theory is accessible even to students who have yet to learn Galois theory. The techniques of elementary arithmetic, ring theory and linear algebra are shown working together to prove important theorems, such as the unique factorization of ideals... more...