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Higher-dimensional algebraic geometry

Higher-dimensional algebraic geometry


Olivier Debarre


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Higher-dimensional algebraic geometry studies the classification theory of algebraic varieties. This very active area of research ...more info
Schubert varieties and degeneracy loci

Schubert varieties and degeneracy loci


Piotr Pragacz, William Fulton


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Schubert varieties and degeneracy loci have a long history in mathematics, starting from questions about loci of matrices with giv...more info
Algebraic surfaces

Algebraic surfaces


D. Mumford, J. Lipman, O. Zariski, S.S. Abhyankar


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The main aim of this book is to present a completely algebraic approach to the Enriques' classification of smooth projective surfa...more info
Set theory. Boolean-valued models and independence proofs

Set theory. Boolean-valued models and independence proofs


John L. Bell


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This monograph is a follow up to the author's classic text Boolean-Valued Models and Independence Proofs in Set Theory, providing ...more info
Logic and boolean algebra

Logic and boolean algebra


Kathleen Levitz


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Mathematics for modern courses in the humanities and social sciences covering sentence composition, algebra of logic, analysis of ...more info
Quantum groups in two-dimensional physics

Quantum groups in two-dimensional physics


Cisar Gómez, German Sierra, Martm Ruiz-Altaba


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This book is an introduction to integrability and conformal field theory in two dimensions using quantum groups. The book begins w...more info
Linear and projective representations of symmetric groups

Linear and projective representations of symmetric groups


Alexander Kleshchev


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The representation theory of symmetric groups is one of the most beautiful, popular, and important parts of algebra with many deep...more info
Free Lie algebras

Free Lie algebras


Christophe Reutenauer


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This much-needed new book is the first to specifically detail free Lie algebras. Lie polynomials appeared at the turn of the cent...more info
Asymptotic expansions

Asymptotic expansions


E. T. Copson


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Certain functions, capable of expansion only as a divergent series, may nevertheless be calculated with great accuracy by taking t...more info
An Introduction to Infinite Ergodic Theory

An Introduction to Infinite Ergodic Theory


Jon Aaronson


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Infinite ergodic theory is the study of measure preserving transformations of infinite measure spaces. The book focuses on propert...more info
A Dictionary of Inequalities

A Dictionary of Inequalities


P. S. Bullen, Peter Bullen


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The literature on inequalities is vast-in recent years the number of papers as well as the number of journals devoted to the subje...more info
Counting, sampling and integrating: algorithms and complexity

Counting, sampling and integrating: algorithms and complexity


Mark Jerrum


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Text comprised of notes originating in a postgraduate lecture series given by the author at the ETH in Zurich in the Spring of 200...more info
Foundations of algebraic analysis

Foundations of algebraic analysis


Masaki Kashiwara, Takahiro Kawai, Tatsuo Kimura


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Language Notes Text: English, Japanese (translation) ...more info
Spectral decomposition and Eisenstein Series

Spectral decomposition and Eisenstein Series


C. Moeglin, J. L. Waldspurger, Leila Schneps


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The decomposition of the space L2 (G(Q)G(A)), where G is a reductive group defined over Q and A is the ring of adeles of Q, is a d...more info
The strength of nonstandard analysis

The strength of nonstandard analysis


Imme Van Den Berg, Vitor Neves


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This book reflects the progress made in the forty years since the appearance of Abraham Robinson’s revolutionary book Nonst...more info
The Theory of Singularities and its Applications

The Theory of Singularities and its Applications


V. I. Arnold


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This book describes those singularities encountered in different branches of mathematics. The distinguished mathematician, Vladimi...more info
Exact solutions of relativistic wave equations

Exact solutions of relativistic wave equations


D. Gitman, V.G. Bagrov


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Exact solutions of relativistic wave equations...more info
On the partial differential equations of mathematical physics

On the partial differential equations of mathematical physics


Juan Luis Vazquez


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The Heat Equation is one of the three classical linear partial differential equations of second order that form the basis of any e...more info
Calcul differentiel et integral

Calcul differentiel et integral


Piskounov


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Calcul differentiel et integral...more info
Positive Operators

Positive Operators


Author Unknown


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Reprinted by popular demand, this monograph presents a comprehensive study of positive operators between Riesz spaces and Banach l...more info
Real function algebras

Real function algebras


B.V. Limaye, S.H. Kulkarni


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This self-contained reference/text presents a thorough account of the theory of real function algebras. Employing the intrinsic ap...more info
Hausdorff measures

Hausdorff measures


C. A. Rogers


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When originally published, this text was the first general account of Hausdorff measures, a subject that has important application...more info
Theory of operator algebras 1

Theory of operator algebras 1


M. Takesaki


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The unifying theme is the Banach space duality for operator algebras, allowing readers to recognize the affinity between operator ...more info
Pointwise Convergence Of Fourier Series

Pointwise Convergence Of Fourier Series


Juan Arias De Reyna


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This book contains a detailed exposition of Carleson-Hunt theorem following the proof of Carleson: to this day this is the only on...more info
Orthogonal Polynomials: Computation and Approximation

Orthogonal Polynomials: Computation and Approximation


Walter Gautschi


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This is the first book on constructive methods for, and applications of orthogonal polynomials, and the first available collection...more info
Introduction to Vectors and Tensors

Introduction to Vectors and Tensors


C.C. Wang, Ray M. Bowen


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Introduction to Vectors and Tensors...more info
Ends of complexes

Ends of complexes


Andrew Ranicki, Bruce Hughes


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The ends of a topological space are the directions in which it becomes noncompact by tending to infinity. The tame ends of manifol...more info
Compact manifolds with special holonomy

Compact manifolds with special holonomy


Dominic D. Joyce


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The book starts with a thorough introduction to connections and holonomy groups, and to Riemannian, complex and Kähler geomet...more info
Equivariant stable homotopy theory

Equivariant stable homotopy theory


J. Peter May, J.E. Mcclure, L. Gaunce Lewis, Mark Steinberger


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Equivariant stable homotopy theory...more info
The Atiyah-Singer index theorem: an introduction

The Atiyah-Singer index theorem: an introduction


P. Shanahan


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The Atiyah-Singer index theorem: an introduction...more info