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

and elementary knowledge of differential equations. In the later lectures, the complex analytic properties are introduced naturally so that a;

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Elliptic Curves. (MN-40), Volume 40

analytic functions in the upper half plane with certain transformation laws and growth properties. The two subjects--elliptic curves and modular;

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Elliptic Functions

In its first six chapters, this text presents the basic ideas and properties of the Jacobi elliptic functions as a historical essay;

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Lectures on Selected Topics in Mathematical Physics

and elementary knowledge of differential equations. In the later lectures, the complex analytic properties are introduced naturally so that a;

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Elliptic Functions

In its first six chapters this 2006 text seeks to present the basic ideas and properties of the Jacobi elliptic functions as an historical;

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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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An Elementary Treatise On Elliptic Functions

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The Weierstrass Elliptic Function and Applications in Classical and Quantum Mechanics

The field of elliptic functions, apart from its own mathematical beauty, has many applications in physics in a variety of topics, such as;

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The elementary properties of the elliptic functions

attempt to remove books with imperfections introduced by the digitization process. Though we have made best efforts - the books may have;

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Graphs of Elementary and Special Functions Handbook

integrals, Bessel functions, orthogonal polynomials, elliptic functions, Mathieu functions, etc). The book contains 760 figures and uses material;

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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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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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Introduction to Arithmetic Theory of Automorphic Functions

ubiquitous in number theory. This book introduces the reader to the subject and in particular to elliptic modular forms with emphasis on their number;

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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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Advanced Calculus

elementary and intermediate calculus and features discussions of elementary-point set theory, and properties of continuous functions.;

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Ranks of Elliptic Curves and Random Matrix Theory

, statistical properties of families of elliptic curves and their associated L-functions and the emerging uses of random matrix theory in this field;

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Modular Forms and Functions

This book provides an introduction to the theory of elliptic modular functions and forms, a subject of increasing interest because of its;

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Special Integrals of Gradshteyn and Ryzhik

variety of entries in the frequently used table of integrals by I.S. Gradshteyn and I.M. Ryzhik. The book gives the most elementary arguments;

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Special Integrals of Gradshteyn and Ryzhik

variety of entries in the frequently used table of integrals by I.S. Gradshteyn and I.M. Ryzhik. The book gives the most elementary arguments;

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Elliptic Curves

The subject of elliptic curves is one of the jewels of nineteenth-century mathematics, originated by Abel, Gauss, Jacobi, and Legendre;

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Elliptic Curves

The subject of elliptic curves is one of the jewels of nineteenth-century mathematics, originated by Abel, Gauss, Jacobi, and Legendre;

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Generalized Associated Legendre Functions And Their Applications

of the first and the second kind respectively. The authors use various methods of contour integration to obtain important properties of the;

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Geometric Properties for Parabolic and Elliptic PDE's

This book contains the contributions resulting from the 6th Italian-Japanese workshop on Geometric Properties for Parabolic and Elliptic;

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The Applications of Elliptic Functions

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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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Cambridge Studies in Advanced Mathematics

In this book, Professor Pinsky gives a self-contained account of the theory of positive harmonic functions for second order elliptic;

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