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Period Mappings and Period Domains

that are used to derive results about cycles on higher-dimensional algebraic varieties such as the Noether-Lefschetz theorem and Nori's theorem;

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Period Mappings and Period Domains

that are used to derive results about cycles on higher-dimensional algebraic varieties such as the Noether-Lefschetz theorem and Nori's theorem;

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Variations on a Theorem of Tate

Let $F$ be a number field. These notes explore Galois-theoretic, automorphic, and motivic analogues and refinements of Tate's basic result;

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The Calculus of Variations

of variations focuses on variational problems involving one independent variable. It also discusses more advanced topics such as the inverse problem;

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Analysis

addressed including Radon measures, the Besicovitch covering Theorem, the Rademacher theorem, and a constructive presentation of the Stone;

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An Introduction to Functional Analysis

-Schmidt theorem, including orthonormal bases, the Riesz representation theorem, and the basics of spectral theory. The material on Banach spaces;

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An Introduction to Functional Analysis

-Schmidt theorem, including orthonormal bases, the Riesz representation theorem, and the basics of spectral theory. The material on Banach spaces;

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99 Variations on a Proof

An exploration of mathematical style through 99 different proofs of the same theorem This book offers a multifaceted perspective on;

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Modular Forms and Fermat's Last Theorem

' proof, is dealt with in a chapter on automorphic representations and the Langlands-Tunnell theorem, and this is followed by in-depth discussions;

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Cambridge Studies in Advanced Mathematics

(with complete and detailed proofs), there is a treatment of the direct methods and the fundamental lower semicontinuity theorems. Subsequent;

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Cambridge Studies in Advanced Mathematics

(with complete and detailed proofs), there is a treatment of the direct methods and the fundamental lower semicontinuity theorems. Subsequent;

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Lectures on N_X(p)

. After an overview of the main theorems on NX(p), the book offers simple, illustrative examples and discusses the Chebotarev density theorem;

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A New Family For Tate

A New Family For Tate is a book about a young boy who experiences child abuse at home. The book takes the reader on Tate's journey to;

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A New Family For Tate

A New Family For Tate is a book about a young boy who experiences child abuse at home. The book takes the reader on Tate's journey to;

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An Introduction to the Calculus of Variations

particular focus on Dirichlet's principle. Suitable for advanced undergraduate and graduate students, this text requires a background in mathematical;

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Incompleteness in the Land of Sets

by a formula, by the same argument that Russell used. This quickly gives Tarski's result on the undefinability of truth. Variations on the;

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Elementary Fixed Point Theorems

fixed theorem for a commuting family of analytic functions and Bergweiler's existence theorem on fixed points of the composition of certain;

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Topological Vector Spaces

of Hahn-Banach extensions, and includes an entirely new chapter on vector-valued Hahn-Banach theorems. It also considers different approaches to;

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Hodge Theory (MN-49)

of Grothendieck's algebraic de Rham theorem. The advanced lectures address a Hodge-theoretic perspective on Shimura varieties, the spread philosophy in the;

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Rudiments of Ramsey Theory

(van der Waerden's theorem); and colorings of the edges of large graphs must have monochromatic subgraphs of a specified type (Ramsey's theorem). This book;

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A Course on Topological Vector Spaces

instance Banach's theorem on weak*-closed subspaces on the dual of a Banach space (alias the Krein-Smulian theorem), the Eberlein-Smulian theorem;

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Mumford-Tate Groups and Domains

theory, and arithmetic, this book opens up a fresh perspective on an important subject.;

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Mumford-Tate Groups and Domains

theory, and arithmetic, this book opens up a fresh perspective on an important subject.;

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My Sweetheart

on How To Fall Out Of Love. As helpful as Google is, Tate Matafeo is a hard habit to break especially when her new friend Meredith insists;

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A Textbook of Graph Theory

Here is a solid introduction to graph theory, covering Dirac's theorem on k-connected graphs, Harary-Nashwilliam's theorem on the;

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Moments, Monodromy, and Perversity. (AM-159)

It is now some thirty years since Deligne first proved his general equidistribution theorem, thus establishing the fundamental result;

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