Author :
Publisher :
Page : 546 pages
File Size : 17,80 MB
Release : 1892
Category : Mathematics
ISBN :
[PDF] Bulletin Of The American Mathematical Society eBook
Bulletin Of The American Mathematical Society Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Bulletin Of The American Mathematical Society book. This book definitely worth reading, it is an incredibly well-written.
Additive Combinatorics
Terence Tao
Author : Terence Tao
Publisher : Cambridge University Press
Page : 18 pages
File Size : 48,6 MB
Release : 2006-09-14
Category : Mathematics
ISBN : 1139458345
Additive combinatorics is the theory of counting additive structures in sets. This theory has seen exciting developments and dramatic changes in direction in recent years thanks to its connections with areas such as number theory, ergodic theory and graph theory. This graduate-level 2006 text will allow students and researchers easy entry into this fascinating field. Here, the authors bring together in a self-contained and systematic manner the many different tools and ideas that are used in the modern theory, presenting them in an accessible, coherent, and intuitively clear manner, and providing immediate applications to problems in additive combinatorics. The power of these tools is well demonstrated in the presentation of recent advances such as Szemerédi's theorem on arithmetic progressions, the Kakeya conjecture and Erdos distance problems, and the developing field of sum-product estimates. The text is supplemented by a large number of exercises and new results.
John Von Neumann, 1903-1957
J. C. Oxtoby
Author : J. C. Oxtoby
Publisher : American Mathematical Soc.
Page : 142 pages
File Size : 29,31 MB
Release : 1966-12-31
Category : Mathematics
ISBN : 9780821896792
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.
Functional Analysis
Theo Bühler
Author : Theo Bühler
Publisher : American Mathematical Soc.
Page : 482 pages
File Size : 29,44 MB
Release : 2018-08-08
Category : Mathematics
ISBN : 147044190X
It begins in Chapter 1 with an introduction to the necessary foundations, including the Arzelà–Ascoli theorem, elementary Hilbert space theory, and the Baire Category Theorem. Chapter 2 develops the three fundamental principles of functional analysis (uniform boundedness, open mapping theorem, Hahn–Banach theorem) and discusses reflexive spaces and the James space. Chapter 3 introduces the weak and weak topologies and includes the theorems of Banach–Alaoglu, Banach–Dieudonné, Eberlein–Šmulyan, Kre&ibreve;n–Milman, as well as an introduction to topological vector spaces and applications to ergodic theory. Chapter 4 is devoted to Fredholm theory. It includes an introduction to the dual operator and to compact operators, and it establishes the closed image theorem. Chapter 5 deals with the spectral theory of bounded linear operators. It introduces complex Banach and Hilbert spaces, the continuous functional calculus for self-adjoint and normal operators, the Gelfand spectrum, spectral measures, cyclic vectors, and the spectral theorem. Chapter 6 introduces unbounded operators and their duals. It establishes the closed image theorem in this setting and extends the functional calculus and spectral measure to unbounded self-adjoint operators on Hilbert spaces. Chapter 7 gives an introduction to strongly continuous semigroups and their infinitesimal generators. It includes foundational results about the dual semigroup and analytic semigroups, an exposition of measurable functions with values in a Banach space, and a discussion of solutions to the inhomogeneous equation and their regularity properties. The appendix establishes the equivalence of the Lemma of Zorn and the Axiom of Choice, and it contains a proof of Tychonoff's theorem. With 10 to 20 elaborate exercises at the end of each chapter, this book can be used as a text for a one-or-two-semester course on functional analysis for beginning graduate students. Prerequisites are first-year analysis and linear algebra, as well as some foundational material from the second-year courses on point set topology, complex analysis in one variable, and measure and integration.
Topics in Classical Automorphic Forms
Henryk Iwaniec
Author : Henryk Iwaniec
Publisher : American Mathematical Soc.
Page : 274 pages
File Size : 22,73 MB
Release : 1997
Category : Mathematics
ISBN : 0821807773
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
Trigonometry
James Tanton
Author : James Tanton
Publisher : The Mathematical Association of America
Page : 233 pages
File Size : 44,63 MB
Release : 2015-08-10
Category : Mathematics
ISBN : 0883858363
This guide covers the story of trigonometry. It is a swift overview, but it is complete in the context of the content discussed in beginning and advanced high-school courses. The purpose of these notes is to supplement and put into perspective the material of any course on the subject you may have taken or are currently taking. (These notes will be tough going for those encountering trigonometry for the very first time!)
Mirror Symmetry and Algebraic Geometry
David A. Cox
Author : David A. Cox
Publisher : American Mathematical Soc.
Page : 498 pages
File Size : 37,53 MB
Release : 1999
Category : Mathematics
ISBN : 082182127X
Mirror symmetry began when theoretical physicists made some astonishing predictions about rational curves on quintic hypersurfaces in four-dimensional projective space. Understanding the mathematics behind these predictions has been a substantial challenge. This book is the first completely comprehensive monograph on mirror symmetry, covering the original observations by the physicists through the most recent progress made to date. Subjects discussed include toric varieties, Hodge theory, Kahler geometry, moduli of stable maps, Calabi-Yau manifolds, quantum cohomology, Gromov-Witten invariants, and the mirror theorem. This title features: numerous examples worked out in detail; an appendix on mathematical physics; an exposition of the algebraic theory of Gromov-Witten invariants and quantum cohomology; and, a proof of the mirror theorem for the quintic threefold.
Invitation to Nonlinear Algebra
Mateusz Michałek
Author : Mateusz Michałek
Publisher : American Mathematical Society
Page : 226 pages
File Size : 18,31 MB
Release : 2021-03-05
Category : Mathematics
ISBN : 1470453673
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.
Generalized Cohomology
Akira Kōno
Author : Akira Kōno
Publisher : American Mathematical Soc.
Page : 276 pages
File Size : 23,77 MB
Release : 2006
Category : Mathematics
ISBN : 9780821835142
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.
Mixed Motives
Marc Levine
Author : Marc Levine
Publisher : American Mathematical Soc.
Page : 529 pages
File Size : 12,29 MB
Release : 1998
Category : Mathematics
ISBN : 0821807854
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.