Algebras And Lattices In Hawai I Honoring Ralph Freese Bill Lampe And Jb Nation

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Emmy Noether 1882–1935

Author : DICK
Publisher : Springer Science & Business Media
Page : 213 pages
File Size : 45,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781468405354

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Emmy Noether 1882–1935 by DICK Pdf

N 1964 at the World's Fair in New York I City one room was dedicated solely to mathematics. The display included a very at tractive and informative mural, about 13 feet long, sponsored by one of the largest com puter manufacturing companies and present ing a brief survey of the history of mathemat ics. Entitled, "Men of Modern Mathematics," it gives an outline of the development of that science from approximately 1000 B. C. to the year of the exhibition. The first centuries of this time span are illustrated by pictures from the history of art and, in particular, architec ture; the period since 1500 is illuminated by portraits of mathematicians, including brief descriptions of their lives and professional achievements. Close to eighty portraits are crowded into a space of about fourteen square feet; among them, only one is of a woman. Her face-mature, intelligent, neither pretty nor handsome-may suggest her love of sci- 1 Emmy Noether ence and creative gift, but certainly reveals a likeable personality and a genuine kindness of heart. It is the portrait of Emmy Noether ( 1882 - 1935), surrounded by the likenesses of such famous men as Joseph Liouville (1809-1882), Georg Cantor (1845-1918), and David Hilbert (1862 -1943). It is accom panied by the following text: Emmy Noether, daughter of the mathemati cian Max, was often called "Der Noether," as if she were a man.

Cones and Duality

Author : Charalambos D. Aliprantis,Rabee Tourky
Publisher : American Mathematical Soc.
Page : 298 pages
File Size : 54,5 Mb
Release : 2007-06-12
Category : Mathematics
ISBN : 9780821841464

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Cones and Duality by Charalambos D. Aliprantis,Rabee Tourky Pdf

Ordered vector spaces and cones made their debut in mathematics at the beginning of the twentieth century. They were developed in parallel (but from a different perspective) with functional analysis and operator theory. Before the 1950s, ordered vector spaces appeared in the literature in a fragmented way. Their systematic study began around the world after 1950 mainly through the efforts of the Russian, Japanese, German, and Dutch schools. Since cones are being employed to solve optimization problems, the theory of ordered vector spaces is an indispensable tool for solving a variety of applied problems appearing in several diverse areas, such as engineering, econometrics, and the social sciences. For this reason this theory plays a prominent role not only in functional analysis but also in a wide range of applications. This is a book about a modern perspective on cones and ordered vector spaces. It includes material that has not been presented earlier in a monograph or a textbook. With many exercises of varying degrees of difficulty, the book is suitable for graduate courses. Most of the new topics currently discussed in the book have their origins in problems from economics and finance. Therefore, the book will be valuable to any researcher and graduate student who works in mathematics, engineering, economics, finance, and any other field that uses optimization techniques.

Varieties of Lattices

Author : Peter Jipsen,Henry Rose
Publisher : Springer
Page : 171 pages
File Size : 41,6 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540475149

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Varieties of Lattices by Peter Jipsen,Henry Rose Pdf

The study of lattice varieties is a field that has experienced rapid growth in the last 30 years, but many of the interesting and deep results discovered in that period have so far only appeared in research papers. The aim of this monograph is to present the main results about modular and nonmodular varieties, equational bases and the amalgamation property in a uniform way. The first chapter covers preliminaries that make the material accessible to anyone who has had an introductory course in universal algebra. Each subsequent chapter begins with a short historical introduction which sites the original references and then presents the results with complete proofs (in nearly all cases). Numerous diagrams illustrate the beauty of lattice theory and aid in the visualization of many proofs. An extensive index and bibliography also make the monograph a useful reference work.

The Theory of Models

Author : J.W. Addison,Leon Henkin,Alfred Tarski
Publisher : Elsevier
Page : 513 pages
File Size : 44,6 Mb
Release : 2014-05-27
Category : Mathematics
ISBN : 9781483275345

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The Theory of Models by J.W. Addison,Leon Henkin,Alfred Tarski Pdf

Studies in Logic and the Foundations of Mathematics: The Theory of Models covers the proceedings of the International Symposium on the Theory of Models, held at the University of California, Berkeley on June 25 to July 11, 1963. The book focuses on works devoted to the foundations of mathematics, generally known as "the theory of models." The selection first discusses the method of alternating chains, semantic construction of Lewis's systems S4 and S5, and continuous model theory. Concerns include ordered model theory, 2-valued model theory, semantics, sequents, axiomatization, formulas, axiomatic approach to hierarchies, alternating chains, and difference hierarchies. The text also ponders on Boolean notions extended to higher dimensions, elementary theories with models without automorphisms, and applications of the notions of forcing and generic sets. The manuscript takes a look at a hypothesis concerning the extension of finite relations and its verification for certain special cases, theories of functors and models, model-theoretic methods in the study of elementary logic, and extensions of relational structures. The text also reviews relatively categorical and normal theories, algebraic theories, categories, and functors, denumerable models of theories with extra predicates, and non-standard models for fragments of number theory. The selection is highly recommended for mathematicians and researchers interested in the theory of models.

Algebras and Orders

Author : Ivo G. Rosenberg,Gert Sabidussi
Publisher : Springer Science & Business Media
Page : 576 pages
File Size : 52,9 Mb
Release : 1993-02-28
Category : Mathematics
ISBN : 079232143X

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Algebras and Orders by Ivo G. Rosenberg,Gert Sabidussi Pdf

In the summer of 1991 the Department of Mathematics and Statistics of the Universite de Montreal was fortunate to host the NATO Advanced Study Institute "Algebras and Orders" as its 30th Seminaire de mathematiques superieures (SMS), a summer school with a long tradition and well-established reputation. This book contains the contributions of the invited speakers. Universal algebra- which established itself only in the 1930's- grew from traditional algebra (e.g., groups, modules, rings and lattices) and logic (e.g., propositional calculus, model theory and the theory of relations). It started by extending results from these fields but by now it is a well-established and dynamic discipline in its own right. One of the objectives of the ASI was to cover a broad spectrum of topics in this field, and to put in evidence the natural links to, and interactions with, boolean algebra, lattice theory, topology, graphs, relations, automata, theoretical computer science and (partial) orders. The theory of orders is a relatively young and vigorous discipline sharing certain topics as well as many researchers and meetings with universal algebra and lattice theory. W. Taylor surveyed the abstract clone theory which formalizes the process of compos ing operations (i.e., the formation of term operations) of an algebra as a special category with countably many objects, and leading naturally to the interpretation and equivalence of varieties.

Pseudo-differential Operators and the Nash-Moser Theorem

Author : Serge Alinhac,Patrick Gérard
Publisher : American Mathematical Soc.
Page : 168 pages
File Size : 43,7 Mb
Release : 2007
Category : Mathematics
ISBN : 9780821834541

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Pseudo-differential Operators and the Nash-Moser Theorem by Serge Alinhac,Patrick Gérard Pdf

This book presents two essential and apparently unrelated subjects. The first, microlocal analysis and the theory of pseudo-differential operators, is a basic tool in the study of partial differential equations and in analysis on manifolds. The second, the Nash-Moser theorem, continues to be fundamentally important in geometry, dynamical systems and nonlinear PDE. Each of the subjects, which are of interest in their own right as well as for applications, can be learned separately. But the book shows the deep connections between the two themes, particularly in the middle part, which is devoted to Littlewood-Paley theory, dyadic analysis, and the paradifferential calculus and its application to interpolation inequalities. An important feature is the elementary and self-contained character of the text, to which many exercises and an introductory Chapter $0$ with basic material have been added. This makes the book readable by graduate students or researchers from one subject who are interested in becoming familiar with the other. It can also be used as a textbook for a graduate course on nonlinear PDE or geometry.

Analytic Geometry and Calculus

Author : Herbert Federer,Bjarni Jónsson
Publisher : Unknown
Page : 484 pages
File Size : 54,7 Mb
Release : 1961
Category : Mathematics
ISBN : UOM:39015004486638

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Analytic Geometry and Calculus by Herbert Federer,Bjarni Jónsson Pdf

Cardinal Algebras

Author : Alfred Tarski,Bjarni Jónsson
Publisher : Unknown
Page : 352 pages
File Size : 51,6 Mb
Release : 1949
Category : Algebra, Abstract
ISBN : UOM:39015011444703

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Cardinal Algebras by Alfred Tarski,Bjarni Jónsson Pdf

Three-Dimensional Elasticity

Author : Anonim
Publisher : Elsevier
Page : 448 pages
File Size : 47,6 Mb
Release : 1988-04-01
Category : Mathematics
ISBN : 0080875416

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Three-Dimensional Elasticity by Anonim Pdf

This volume is a thorough introduction to contemporary research in elasticity, and may be used as a working textbook at the graduate level for courses in pure or applied mathematics or in continuum mechanics. It provides a thorough description (with emphasis on the nonlinear aspects) of the two competing mathematical models of three-dimensional elasticity, together with a mathematical analysis of these models. The book is as self-contained as possible.

Ordinal Algebras

Author : Alfred Tarski
Publisher : Unknown
Page : 0 pages
File Size : 44,9 Mb
Release : 1956
Category : Algebra, Abstract
ISBN : 0444533842

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Ordinal Algebras by Alfred Tarski Pdf

Elements of Homology Theory

Author : Viktor Vasilʹevich Prasolov
Publisher : American Mathematical Soc.
Page : 418 pages
File Size : 47,7 Mb
Release : 2007
Category : Mathematics
ISBN : 9780821838129

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Elements of Homology Theory by Viktor Vasilʹevich Prasolov Pdf

The book is a continuation of the previous book by the author (Elements of Combinatorial and Differential Topology, Graduate Studies in Mathematics, Volume 74, American Mathematical Society, 2006). It starts with the definition of simplicial homology and cohomology, with many examples and applications. Then the Kolmogorov-Alexander multiplication in cohomology is introduced. A significant part of the book is devoted to applications of simplicial homology and cohomology to obstruction theory, in particular, to characteristic classes of vector bundles. The later chapters are concerned with singular homology and cohomology, and Cech and de Rham cohomology. The book ends with various applications of homology to the topology of manifolds, some of which might be of interest to experts in the area. The book contains many problems; almost all of them are provided with hints or complete solutions.

The Theory of Arithmetic Functions

Author : Börn Jónsson,David A. Stone,Vadim Komkov
Publisher : Unknown
Page : 240 pages
File Size : 43,7 Mb
Release : 1971
Category : Algebra, Universal
ISBN : 0387057226

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The Theory of Arithmetic Functions by Börn Jónsson,David A. Stone,Vadim Komkov Pdf

A Guide to Plane Algebraic Curves

Author : Keith Kendig
Publisher : MAA
Page : 211 pages
File Size : 43,7 Mb
Release : 2011
Category : Mathematics
ISBN : 9780883853535

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A Guide to Plane Algebraic Curves by Keith Kendig Pdf

An accessible introduction to the plane algebraic curves that also serves as a natural entry point to algebraic geometry. This book can be used for an undergraduate course, or as a companion to algebraic geometry at graduate level.

Discrete Structures with Contemporary Applications

Author : Alexander Stanoyevitch
Publisher : Chapman and Hall/CRC
Page : 0 pages
File Size : 55,7 Mb
Release : 2011-01-19
Category : Computers
ISBN : 1439817685

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Discrete Structures with Contemporary Applications by Alexander Stanoyevitch Pdf

Reflecting many of the recent advances and trends in this area, Discrete Structures with Contemporary Applications covers the core topics in discrete structures as well as an assortment of novel applications-oriented topics. The applications described include simulations, genetic algorithms, network flows, probabilistic primality tests, public key cryptography, and coding theory. A modern and comprehensive introduction to discrete structures With clear definitions and theorems and carefully explained proofs, this classroom-tested text presents an accessible yet rigorous treatment of the material. Numerous worked-out examples illustrate key points while figures and tables help students grasp the more subtle and difficult concepts. "Exercises for the Reader" are interspersed throughout the text, with complete solutions included in an appendix. In addition to these, each section ends with extensive, carefully crafted exercise sets ranging from routine to nontrivial; answers can be found in another appendix. Most sections also contain computer exercises that guide students through the process of writing their own programs on any computing platform. Accommodates various levels of computer implementation Although the book highly encourages the use of computing platforms, it can be used without computers. The author explains algorithms in ordinary English and, when appropriate, in a natural and easy-to-understand pseudo code that can be readily translated into any computer language. A supporting website provides an extensive set of sample programs.