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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 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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Elliptic and Hyperelliptic Integrals and Allied Theory

Originally published in 1938, this book focuses on the area of elliptic and hyperelliptic integrals and allied theory. The text was a;

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A Course in Hodge Theory

Offers an examination of the precursors of Hodge theory: first, the studies of elliptic and abelian integrals by Cauchy, Abel, Jacobi, and;

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Topics In Complex Function Theory

Develops the higher parts of function theory in a unified presentation. Starts with elliptic integrals and functions and uniformization;

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Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105), Volume 105

The description for this book, Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105), will be;

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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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Feynman Integrals

. Feynman integrals are indispensable for precision calculations in quantum field theory. At the same time, they are also fascinating from a;

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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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On the Direct Numerical Calculation of Elliptic Functions and Integrals

Originally published in 1924, this book presents an account regarding the direct numerical calculation of elliptic functions and integrals;

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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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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 Integrals

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Elliptic Integrals

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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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Special Integrals of Gradshteyn and Ryzhik

. Volume II collects 14 papers from Revista Scientia covering elliptic integrals, the Riemann zeta function, the error function, hypergeometric and;

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Special Integrals of Gradshteyn and Ryzhik

. Volume II collects 14 papers from Revista Scientia covering elliptic integrals, the Riemann zeta function, the error function, hypergeometric and;

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Seminar on Micro-Local Analysis. (AM-93), Volume 93

and clearly to mathematicians with an analytical background. The papers treat the theory of microfunctions and applications such as boundary;

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

This volume is a basic introduction to certain aspects of elliptic functions and elliptic integrals. Primarily, the elliptic functions;

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Abelian Varieties with Complex Multiplication and Modular Functions

Reciprocity laws of various kinds play a central role in number theory. In the easiest case, one obtains a transparent formulation by means;

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Multi-parameter Singular Integrals. (AM-189), Volume I

the classical theory of Calderon-Zygmund singular integrals and applications to linear partial differential equations. He then outlines the;

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