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Number Theory

Most popular at the top

  • Elliptic Functionsby V. Armitage; W. F. Eberlein

    Cambridge University Press 2006; US$ 45.00

    This treatment of Jacobi elliptic functions seeks to answer the fascinating question: 'what would the treatment of elliptic functions have been like if Abel had developed the ideas, rather than Jacobi?' A rich variety of applications of the elliptic and related functions are also presented. more...

  • Automorphic Representations and L-Functions for the General Linear Group, 1by Dorian Goldfeld; Joseph Hundley

    Cambridge University Press 2011; US$ 84.00

    This modern, graduate-level textbook does not assume prior knowledge of representation theory. Includes numerous concrete examples and over 250 exercises. more...

  • Calculus with Complex Numbersby John B. Reade

    CRC Press 2003; US$ 36.95

    This text is a practical course in complex calculus that covers the applications, but does not assume the full rigour of a real analysis background. Topics covered include algebraic and geometric aspects of complex numbers, differentiation, contour more...

  • Problems And Solutions In Mathematicsby L T Tsien

    World Scientific 1998; US$ 128.70

    This book contains a selection of more than 500 mathematical problems and their solutions from the PhD qualifying examination papers of more than ten famous American universities. The problems cover six aspects of graduate school mathematics: Algebra, Topology, Differential Geometry, Real Analysis, Complex Analysis and Partial Differential Equations. The depth of knowledge involved is not beyond the contents of the textbooks for graduate students, while solution of the problems requires deep understanding of the mathematical principles and skilled techniques. For students this book is a valuable complement to textbooks; for lecturers teaching graduate school mathematics, a helpful reference. more...

  • Foundations of Mathematical Economicsby Richard van Den Berg

    Routledge 2005; US$ 44.95

    Achilles Nicolas Isnard (1749-1803) was an engineer with a keen interest in political economy. Despite Isnards role in founding mathematical economics, his work is under-studies today, this book seeks to rectify this. more...

  • Practical Extrapolation Methodsby Avram Sidi; P. G. Ciarlet; A. Iserles; R. V. Kohn; M. H. Wright

    Cambridge University Press 2003; US$ 153.00

    This book is concerned with the coherent treatment, including the derivation, analysis, and applications, of the most useful scalar extrapolation methods. It differs from existing books by focusing on the most powerful nonlinear methods, presenting in-depth treatments of them, and showing which methods are most effective for different classes of practical nontrivial problems. Finally, it shows how to apply these methods to obtain best results. more...

  • Elementary Number Theory in Nine Chaptersby James J. Tattersall

    Cambridge University Press 1999; US$ 26.00

    This book is intended to serve as a one-semester introductory course in number theory and it includes a wealth of exercises. A historical perspective has been adopted and emphasis is given to some of the subject's applied aspects. For students new to number theory, whatever their background, this is a stimulating and entertaining introduction to the subject. more...

  • Algebra and Number Theoryby M'hammed Boulagouaz; Jean-Pierre Tignol

    Marcel Dekker Inc 1999; US$ 185.95

    This study demonstrates the key manipulations surrounding Brauer groups, graded rings, group representations, ideal classes of number fields, p-adic differential equations and rationality problems of invariant fields. It also describes developments in noncommutative valuation theory. more...

  • A Primer of Analytic Number Theoryby Jeffrey Stopple

    Cambridge University Press 2003; US$ 42.00

    This undergraduate-level introduction describes those mathematical properties of prime numbers that can be deduced with the tools of calculus. The capstone of the book is a brief presentation of the Riemann zeta function and of the significance of the Riemann Hypothesis. more...

  • Abelian Varieties, Theta Functions and the Fourier Transformby Alexander Polishchuk; B. Bollobas; W. Fulton; A. Katok; F. Kirwan; P. Sarnak

    Cambridge University Press 2003; US$ 84.00

    The aim of this book is to present a modern treatment of the theory of theta functions in the context of algebraic geometry. The novelty of its approach lies in the systematic use of the Fourier-Mukai transform. more...