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An Introduction to Numerical Analysisby Endre Süli; David F. Mayers
Cambridge University Press 2003; US$ 57.00Based on a successful course at Oxford University, this book gives an authoritative introduction to numerical analysis. It is ideal as a text for students in the second year of a university mathematics course. It combines practicality regarding applications with consistently high standards of rigour. Numerous exercises are provided. more...
Simulating Hamiltonian Dynamicsby Benedict Leimkuhler; Sebastian Reich; M. J. Ablowitz; S. H. Davis; E. J. Hinch; A. Iserles; J. Ockendon; P. J. Olver
Cambridge University Press 2005; US$ 76.00Geometric integrators are timestepping methods, designed to exactly satisfy properties inherent in a system of differential equations. Beginning from basic principles of geometric integration and a discussion of the advantageous properties of such schemes, the book introduces a variety of methods and applications. Includes examples and excercises. more...
Automorphic Forms and Representationsby Daniel Bump
Cambridge University Press 1997; US$ 59.00This book takes advanced graduate students from the foundations to topics on the research frontier. more...
Weyl Group Multiple Dirichlet Seriesby Ben Brubaker; Daniel Bump; Solomon Friedberg
Princeton University Press 2011; US$ 49.50Weyl group multiple Dirichlet series are generalizations of the Riemann zeta function. Like the Riemann zeta function, they are Dirichlet series with analytic continuation and functional equations, having applications to analytic number theory. By contrast, these Weyl group multiple Dirichlet series may be functions of several complex variables and their groups of functional equations may be arbitrary finite Weyl groups. Furthermore, their coefficients are multiplicative up to roots of unity, generalizing the notion of Euler products. This book proves foundational results about these series and develops their combinatorics. These interesting functions may be described as Whittaker coefficients of Eisenstein series on metaplectic groups, but... more...
Calculus with Complex Numbersby John B. Reade
CRC Press 2003; US$ 36.95This 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$ 128.70This 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$ 44.95Achilles 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...
Algebra and Number Theoryby M'hammed Boulagouaz; Jean-Pierre Tignol
Marcel Dekker Inc 1999; US$ 185.95This 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$ 42.00This 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$ 84.00The 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...