Bulletin of the New York Mathematical Society

Bulletin of the New York Mathematical Society PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 326

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Book Description

Bulletin of the New York Mathematical Society

Bulletin of the New York Mathematical Society PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 326

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Book Description


John Von Neumann, 1903-1957

John Von Neumann, 1903-1957 PDF Author: J. C. Oxtoby
Publisher: American Mathematical Soc.
ISBN: 9780821896792
Category : Mathematics
Languages : en
Pages : 142

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Book Description
This is Bulletin , Volume 64, Number 3, Part II, May 1958. A memorial to the late John von Neumann edited by J. C. Oxtoby, B. J. Pettis and E. B. Price.

Generalized Cohomology

Generalized Cohomology PDF Author: Akira Kōno
Publisher: American Mathematical Soc.
ISBN: 9780821835142
Category : Mathematics
Languages : en
Pages : 276

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Book Description
Aims to give an exposition of generalized (co)homology theories that can be read by a group of mathematicians who are not experts in algebraic topology. This title starts with basic notions of homotopy theory, and introduces the axioms of generalized (co)homology theory. It also discusses various types of generalized cohomology theories.

Topics in Classical Automorphic Forms

Topics in Classical Automorphic Forms PDF Author: Henryk Iwaniec
Publisher: American Mathematical Soc.
ISBN: 0821807773
Category : Mathematics
Languages : en
Pages : 274

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Book Description
This volume discusses various perspectives of the theory of automorphic forms drawn from the author's notes from a Rutgers University graduate course. In addition to detailed and often nonstandard treatment of familiar theoretical topics, the author also gives special attention to such subjects as theta- functions and representatives by quadratic forms. Annotation copyrighted by Book News, Inc., Portland, OR

Fully Nonlinear Elliptic Equations

Fully Nonlinear Elliptic Equations PDF Author: Luis A. Caffarelli
Publisher: American Mathematical Soc.
ISBN: 0821804375
Category : Mathematics
Languages : en
Pages : 114

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Book Description
The goal of the book is to extend classical regularity theorems for solutions of linear elliptic partial differential equations to the context of fully nonlinear elliptic equations. This class of equations often arises in control theory, optimization, and other applications. The authors give a detailed presentation of all the necessary techniques. Instead of treating these techniques in their greatest generality, they outline the key ideas and prove the results needed for developing the subsequent theory. Topics discussed in the book include the theory of viscosity solutions for nonlinear equations, the Alexandroff estimate and Krylov-Safonov Harnack-type inequality for viscosity solutions, uniqueness theory for viscosity solutions, Evans and Krylov regularity theory for convex fully nonlinear equations, and regularity theory for fully nonlinear equations with variable coefficients.

Invitation to Nonlinear Algebra

Invitation to Nonlinear Algebra PDF Author: Mateusz Michałek
Publisher: American Mathematical Society
ISBN: 1470453673
Category : Mathematics
Languages : en
Pages : 243

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Book Description
Nonlinear algebra provides modern mathematical tools to address challenges arising in the sciences and engineering. It is useful everywhere, where polynomials appear: in particular, data and computational sciences, statistics, physics, optimization. The book offers an invitation to this broad and fast-developing area. It is not an extensive encyclopedia of known results, but rather a first introduction to the subject, allowing the reader to enter into more advanced topics. It was designed as the next step after linear algebra and well before abstract algebraic geometry. The book presents both classical topics—like the Nullstellensatz and primary decomposition—and more modern ones—like tropical geometry and semidefinite programming. The focus lies on interactions and applications. Each of the thirteen chapters introduces fundamental concepts. The book may be used for a one-semester course, and the over 200 exercises will help the readers to deepen their understanding of the subject.

Elementary Number Theory

Elementary Number Theory PDF Author: Edmund Landau
Publisher: American Mathematical Society
ISBN: 1470463253
Category : Mathematics
Languages : en
Pages : 258

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Book Description
This three-volume classic work is reprinted here as a single volume.

Foliations II

Foliations II PDF Author: Alberto Candel
Publisher: American Mathematical Soc.
ISBN: 0821808818
Category : Mathematics
Languages : en
Pages : 562

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Book Description
This is the second of two volumes on foliations (the first is Volume 23 of this series). In this volume, three specialized topics are treated: analysis on foliated spaces, characteristic classes of foliations, and foliated three-manifolds. Each of these topics represents deep interaction between foliation theory and another highly developed area of mathematics. In each case, the goal is to provide students and other interested people with a substantial introduction to the topic leading to further study using the extensive available literature.

Mixed Motives

Mixed Motives PDF Author: Marc Levine
Publisher: American Mathematical Soc.
ISBN: 0821807854
Category : Mathematics
Languages : ja
Pages : 529

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Book Description
This book combines foundational constructions in the theory of motives and results relating motivic cohomology to more explicit constructions. Prerequisite for understanding the work is a basic background in algebraic geometry. The author constructs and describes a triangulated category of mixed motives over an arbitrary base scheme. Most of the classical constructions of cohomology are described in the motivic setting, including Chern classes from higher $K$-theory, push-forward for proper maps, Riemann-Roch, duality, as well as an associated motivic homology, Borel-Moore homology and cohomology with compact supports.

Subfactors and Knots

Subfactors and Knots PDF Author: Vaughan F. R. Jones
Publisher: American Mathematical Soc.
ISBN: 0821807293
Category : Mathematics
Languages : en
Pages : 129

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Book Description
This book is based on a set of lectures presented by the author at the NSF-CBMS Regional Conference, Applications of Operator Algebras to Knot Theory and Mathematical Physics, held at the U.S. Naval Academy in Annapolis in June 1988. The audience consisted of low-dimensional topologists and operator algebraists, so the speaker attempted to make the material comprehensible to both groups. He provides an extensive introduction to the theory of von Neumann algebras and to knot theory and braid groups. The presentation follows the historical development of the theory of subfactors and the ensuing applications to knot theory, including full proofs of some of the major results. The author treats in detail the Homfly and Kauffman polynomials, introduces statistical mechanical methods on knot diagrams, and attempts an analogy with conformal field theory. Written by one of the foremost mathematicians of the day, this book will give readers an appreciation of the unexpected interconnections between different parts of mathematics and physics.