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Lectures on Selected Topics in Mathematical Physics: Elliptic Functions and Elliptic Integrals

in classical mechanics. The lectures on elliptic functions have evolved as part of the first semester of a course on theoretical and mathematical;

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Lectures on Selected Topics in Mathematical Physics

in classical mechanics. The lectures on elliptic functions have evolved as part of the first semester of a course on theoretical and mathematical;

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Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory

This book includes review articles in the field of elliptic integrals, elliptic functions and modular forms intending to foster the;

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Complex Functions

Elliptic functions and Riemann surfaces played an important role in nineteenth-century mathematics. At the present time there is a great;

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Elliptic curves and functions

An introduction in the theory of elliptic functions and elliptic curves. Both are a priori different mathematical subjects. However, there;

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Lectures on Elliptic Partial Differential Equations

most classical aspects of the theory of Elliptic Partial Differential Equations and Calculus of Variations, including also more recent;

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Elliptic Functions

. Accordingly, it is based on the idea of inverting integrals which arise in the theory of differential equations and, in particular, the differential;

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Elliptic Curves. (MN-40), Volume 40

algebra in the most fundamental ways. Developing, with many examples, the elementary theory of elliptic curves, the book goes on to the subject;

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Lectures on Elliptic and Parabolic Equations in Holder Spaces

These lectures concentrate on fundamentals of the modern theory of linear elliptic and parabolic equations in Holder spaces. Krylov shows;

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Lectures on Orthogonal Polynomials and Special Functions

, elliptic hypergeometric functions, and combinatorics of orthogonal polynomials. Exercises, examples and some open problems are provided. The volume;

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Vector Bundles on Curves - New Directions

The book gives a survey of some recent developments in the theory of bundles on curves arising out of the work of Drinfeld and from;

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Elliptic Functions

Elliptic functions parametrize elliptic curves, and the intermingling of the analytic and algebraic-arithmetic theory has been at the;

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The Weierstrass Elliptic Function and Applications in Classical and Quantum Mechanics

string theory or integrable systems. This book, which focuses on the Weierstrass theory of elliptic functions, aims at senior undergraduate and;

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Elliptic Polynomials

A remarkable interplay exists between the fields of elliptic functions and orthogonal polynomials. In the first monograph to explore their;

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Elliptic Polynomials

A remarkable interplay exists between the fields of elliptic functions and orthogonal polynomials. In the first monograph to explore their;

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Analysis, Geometry And Topology Of Elliptic Operators

of newly-evolved achievements and perspectives in elliptic theory. The contributions are based on lectures presented at a workshop acknowledging;

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Elliptic Curves

quadratic field, and on elliptic curves. Requiring only a first acquaintance with complex function theory, this book is an ideal introduction to the;

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Elliptic Curves

quadratic field, and on elliptic curves. Requiring only a first acquaintance with complex function theory, this book is an ideal introduction to the;

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Elliptic Functions

ideas, rather than Jacobi?' Accordingly, it is based on the idea of inverting integrals which arise in the theory of differential equations and;

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Theta functions, elliptic functions and

This book presents several results on elliptic functions and Pi, using Jacobi's triple product identity as a tool to show suprising;

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Partition Functions and Automorphic Forms

functions, 4) moonshine, its arithmetic aspects, Jacobi forms, elliptic genus, and string theory, and 5) theory and applications of the elliptic;

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Partition Functions and Automorphic Forms

functions, 4) moonshine, its arithmetic aspects, Jacobi forms, elliptic genus, and string theory, and 5) theory and applications of the elliptic;

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Fundamenta Nova Theoriae Functionum Ellipticarum

of mathematical objects named after him. His early work on number theory had already attracted the attention of Carl Friedrich Gauss, but his reputation;

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Ranks of Elliptic Curves and Random Matrix Theory

also be used to describe some exotic phenomena in the number theory of elliptic curves. The purpose of this book is to illustrate this;

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Journees Arithmetiques 1980

. The papers published here are either based on the main invited lectures or on selected research talks given at the conference. They cover all;

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