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Number Theory

Most popular at the top

  • Orthogonal Polynomials and Continued Fractionsby Sergey Khrushchev

    Cambridge University Press 2008; US$ 126.00

    Full account of Euler's work on continued fractions and orthogonal polynomials; illustrates the significance of his work on mathematics today. 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...

  • Non-vanishing of L-Functions and Applicationsby M. Ram Murty; V. Kumar Murty

    Springer 2012; US$ 39.95

    This book systematically develops some methods for proving the non-vanishing of certain L-functions at points in the critical strip. Researchers in number theory, graduate students who wish to enter into the area and non-specialists who wish to acquire an introduction to the subject will benefit by a study of this book. One of the most attractive features... more...

  • Elements of the Representation Theory of the Jacobi Groupby Rolf Berndt; Ralf Schmidt

    Springer 2012; US$ 49.95

    The Jacobi group is a semidirect product of a symplectic group with a Heisenberg group. It is an important example for a non-reductive group and sets the frame within which to treat theta functions as well as elliptic functions - in particular, the universal elliptic curve. This text gathers for the first time material from the representation theory... more...

  • Einführung in die Mathematikby Helmut Koch

    Springer 2006; US$ 39.99

    Diese Einführung besticht durch zwei ungewöhnliche Aspekte: Sie gibt einen Einblick in die Mathematik als Bestandteil unserer Kultur, und sie vermittelt die Hintergründe der Mathematik vom Schulstoff ausgehend bis zum Niveau von Mathematikvorlesungen im ersten Studienjahr. Die Stoffdarstellung geht vom Aufbau der natürlichen Zahlen... more...

  • Geometry and Analysis on Complex Manifoldsby Toshiki Mabuchi; J. Noguchi; T. Ochiai

    World Scientific Publishing Company 1994; US$ 156.00

    This volume presents papers dedicated to Professor Shoshichi Kobayashi, commemorating the occasion of his sixtieth birthday on January 4, 1992.The principal theme of this volume is “Geometry and Analysis on Complex Manifolds”. It emphasizes the wide mathematical influence that Professor Kobayashi has on areas ranging from differential... 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...

  • The Kobayashi-Hitchin Correspondenceby Martin Lubke; A. Teleman

    World Scientific Publishing Company 1995; US$ 99.00

    By the Kobayashi-Hitchin correspondence, the authors of this book mean the isomorphy of the moduli spaces M st of stable holomorphic — resp. M HE of irreducible Hermitian–Einstein — structures in a differentiable complex vector bundle on a compact complex manifold. They give a complete proof of this result in the most general setting,... more...

  • Lectures on the Geometry of Manifoldsby Liviu I. Nicolaescu

    World Scientific Publishing Company 1996; US$ 123.00

    The object of this book is to introduce the reader to some of the most important techniques of modern global geometry. In writing it we had in mind the beginning graduate student willing to specialize in this very challenging field of mathematics. The necessary prerequisite is a good knowledge of the calculus with several variables, linear algebra... 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...