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The Arithmetic of Elliptic Curves

^2 = X^3 + DX. The book contains three appendices: Elliptic Curves in Characteristics 2 and 3, Group Cohomology, and a third appendix giving;

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Partial Differential Equations: Vol. 1 Foundations and Integral Representations

This encyclopedic work covers the whole area of Partial Differential Equations - of the elliptic, parabolic, and hyperbolic type - in two;

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Elliptic Quantum Groups

of formulations and applications, a detailed formulation of the elliptic quantum group in the Drinfeld realization, explicit construction of both finite;

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Arithmetic Of Elliptic Curves

of elliptic curves, elliptic curves over finite fields, the complex numbers, local fields, and global fields. Final chapters deal with integral and;

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The Arithmetic of Elliptic Curves

of elliptic curves, elliptic curves over finite fields, the complex numbers, local fields, and global fields. Final chapters deal with integral and;

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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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Partial Differential Equations 2

. In the first volume, partial differential equations by integral representations are treated in a classical way. This textbook will be;

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Path Integral Approach in Theoretical Physics

includes pure functions, elliptic feynman integrals, multi-regge kinematics and the scattering equations. This book also discusses about l;

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Algebras of Singular Integral Operators with Kernels Controlled by Multiple Norms

The authors study algebras of singular integral operators on $mathbb R^n$ and nilpotent Lie groups that arise when considering the;

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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. (MN-40), Volume 40

forms--come together in Eichler-Shimura theory, which constructs elliptic curves out of modular forms of a special kind. The converse, that all;

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Elliptic Curves

only a knowledge of the basic algebra, complex analysis, and topology usually taught in first-year graduate courses.An elliptic curve is a;

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Lectures on Linear Partial Differential Equations

This book is a reader-friendly, relatively short introduction to the modern theory of linear partial differential equations. An effort has;

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Singular Solutions of Nonlinear Elliptic and Parabolic Equations

This monograph looks at several trends in the investigation of singular solutions of nonlinear elliptic and parabolic equations. It;

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Elliptic Curves

coverage of the fundamental theory, techniques, and applications of elliptic curves. New to the Second Edition Chapters on isogenies and;

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Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane (PMS-48)

important and compelling applications across a spectrum of mathematics: dynamical systems, singular integral operators, inverse problems, the;

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Basic Complex Analysis

view focuses on the differential and integral calculus of functions of a complex variable, with the key topics being the Cauchy integral;

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An Introduction to Maximum Principles and Symmetry in Elliptic Problems

shape of the set on which such elliptic equations are solved has a strong effect on the form of positive solutions. In particular, if the;

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An Introduction to Maximum Principles and Symmetry in Elliptic Problems

shape of the set on which such elliptic equations are solved has a strong effect on the form of positive solutions. In particular, if the;

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Lectures On The Geometry Of Manifolds (2nd Edition)

in-depth investigation of a very special, but fundamental class of elliptic operators, namely, the Dirac type operators.The second edition has many;

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Introduction to Non-Euclidean Geometry

postulate and their triumphant conclusion. Numerous original exercises form an integral part of the book.Topics include hyperbolic plane;

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Handbook of Integral Equations

adopt the requirement that the model integral equation admit a solution in a closed form. Exact solutions can be used to verify the consistency;

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Lectures on Pseudo-Differential Operators

The theory of pseudo-differential operators (which originated as singular integral operators) was largely influenced by its application to;

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Lectures on Pseudo-Differential Operators

The theory of pseudo-differential operators (which originated as singular integral operators) was largely influenced by its application to;

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