# krainaksiazek the categories of mathematics the many fields of study 20090968

- znaleziono 36 produktów w 4 sklepach

### Variational Methods in Mathematics, Science and Engineering Springer Netherlands

**Książki / Literatura obcojęzyczna**

The impulse which led to the writing of the present book has emerged from my many years of lecturing in special courses for selected students at the College of Civil Engineering of the Tech nical University in Prague, from experience gained as supervisor and consultant to graduate students-engineers in the field of applied mathematics, and - last but not least - from frequent consultations with technicians as well as with physicists who have asked for advice in overcoming difficulties encountered in solving theoretical problems. Even though a varied combination of problems of the most diverse nature was often in question, the problems discussed in this book stood forth as the most essential to this category of specialists. The many discussions I have had gave rise to considerations on writing a book which should fill the rather unfortunate gap in our literature. The book is designed, in the first place, for specialists in the fields of theoretical engineering and science. However, it was my aim that the book should be of interest to mathematicians as well. I have been well aware what an ungrateful task it may be to write a book of the present type, and what problems such an effort can bring: Technicians and physicists on the one side, and mathematicians on the other, are often of diametrically opposing opinions as far as books con ceived for both these categories are concerned.

Sklep: Libristo.pl

### Mathematics Dover Publications

**Książki / Literatura obcojęzyczna**

The Russian Equation Representative of the tremendous impact which Russian mathematicians have had on the Dover list since the Sputnik era is this outstanding book edited by A. D. Aleksandrov and others. Critical Acclaim for Mathematics: Its Content, Methods and Meaning: "In effect, these volumes present a do-it-yourself course for the person who would like to know what the chief fields of modern mathematics are all about but who does not aspire to be a professional mathematician or a professional user of mathematics. The coverage is extremely wide, including such important areas as linear algebra, group theory, functional analysis, ordinary and partial differential equations, the theory of functions of real and complex variables, and related subjects. . . . What makes these volumes so readable as compared with usual mathematics textbooks is the emphasis here upon basic concepts and results rather than upon the intricate and wearying proofs that make such demands in conventional textbooks and courses. There are proofs in these volumes, but usually they are presented only for the most important results, and even then to emphasize key areas and to illustrate the kind of methodology employed. . . . It is hard to imagine that any intelligent American with a curious mind and some good recollection of his high school and college mathematics would not find many entrancing discoveries in the intellectual gold mine that is this work."

Sklep: Libristo.pl

### Category Theory Oxford University Press

**Książki / Literatura obcojęzyczna**

Category theory is a branch of abstract algebra with incredibly diverse applications. This text and reference book is aimed not only at mathematicians, but also researchers and students of computer science, logic, linguistics, cognitive science, philosophy, and any of the other fields in which the ideas are being applied. Containing clear definitions of the essential concepts, illuminated with numerous accessible examples, and providing full proofs of all important propositions and theorems, this book aims to make the basic ideas, theorems, and methods of category theory understandable to this broad readership. Although assuming few mathematical pre-requisites, the standard of mathematical rigour is not compromised. The material covered includes the standard core of categories; functors; natural transformations; equivalence; limits and colimits; functor categories; representables; Yoneda's lemma; adjoints; monads. An extra topic of cartesian closed categories and the lambda-calculus is also provided - a must for computer scientists, logicians and linguists! This Second Edition contains numerous revisions to the original text, including expanding the exposition, revising and elaborating the proofs, providing additional diagrams, correcting typographical errors and, finally, adding an entirely new section on monoidal categories. Nearly a hundred new exercises have also been added, many with solutions, to make the book more useful as a course text and for self-study.

Sklep: Libristo.pl

### Ramsey Theory John Wiley & Sons Inc

**Książki / Literatura obcojęzyczna**

Wiley-Interscience Series in Discrete Mathematics and Optimization Advisory Editors: Ronald L. Graham, Jan Karel Lenstra, and Robert E. Tarjan Discrete mathematics, the study of finite structures, is one of the fastest-growing areas in mathematics. The wide applicability of its evolving techniques points to the rapidity with which the field is moving from its beginnings to its maturity, and reflects the ever-increasing interaction between discrete mathematics and computer science. This Series provides broad coverage of discrete mathematics and optimization, ranging over such fields as combinatorics, graph theory, enumeration, and the analysis of algorithms. The Wiley-Interscience Series in Discrete Mathematics and Optimization will be a substantial part of the record of the extraordinary development of this field. A complete listing of the titles in the Series appears on the inside front cover of this book. "[Integer and Combinatorial Optimization] is a major contribution to the literature of discrete programming. This text should be required reading for anybody who intends to research this area or even just to keep abreast of developments." --Times Higher Education Supplement, London "An extensive but extremely well-written graduate text covering integer programming." --American Mathematical Monthly Recent titles in the Series include: Integer and Combinatorial Optimization George L. Nemhauser and Laurence A. Wolsey 1988 (0 471-82819-X) 763 pp. Introduction to the Theory of Error-Correcting Codes Second Edition Vera Pless For mathematicians, engineers, and computer scientists, here is an introduction to the theory of error-correcting codes, focusing on linear block codes. The book considers such codes as Hamming and Golay codes, correction of double errors, use of finite fields, cyclic codes, B.C.H. codes, weight distributions, and design of codes. In a second edition of the book, Pless offers thoroughly expanded coverage of nonbinary and cyclic codes. Some proofs have been simplified, and there are many more examples and problems. 1989 (0 471-61884-5) 224 pp.

Sklep: Libristo.pl

### Representation Theory, 1 Springer, Berlin

**Książki / Literatura obcojęzyczna**

Introducing the representation theory of groups and finite dimensional algebras, first studying basic non-commutative ring theory, this book covers the necessary background on elementary homological algebra and representations of groups up to block theory. It further discusses vertices, defect groups, Green and Brauer correspondences and Clifford theory. Whenever possible the statements are presented in a general setting for more general algebras, such as symmetric finite dimensional algebras over a field.§Then, abelian and derived categories are introduced in detail and are used to explain stable module categories, as well as derived categories and their main invariants and links between them. Group theoretical applications of these theories are given such as the structure of blocks of cyclic defect groups whenever appropriate. Overall, many methods from the representation theory of algebras are introduced.§Representation Theory assumes only the most basic knowledge of linear algebra, groups, rings and fields and guides the reader in the use of categorical equivalences in the representation theory of groups and algebras. As the book is based on lectures, it will be accessible to any graduate student in algebra and can be used for self-study as well as for classroom use.§

Sklep: Libristo.pl

### Complex System Maintenance Handbook Springer, Berlin

**Książki / Literatura obcojęzyczna**

This utterly comprehensive work is thought to be the first to integrate the literature on the physics of the failure of complex systems such as hospitals, banks and transport networks. It has chapters on particular aspects of maintenance written by internationally-renowned researchers and practitioners. This book will interest maintenance engineers and managers in industry as well as researchers and graduate students in maintenance, industrial engineering and applied mathematics.The efficient functioning of modern society depends on the smooth operation of many complex systems which provide products and services. These include transport systems, communication systems, utilities, manufacturing plants, processing plants, hospitals and banks. Such systems are unreliable in the sense that they degrade with age and/or usage and fail when they are no longer capable of delivering the products and services. When a complex system fails, the consequences can be dramatic. It can result in serious economic losses, affect humans and do serious damage to the environment. These failures can be controlled through preventive maintenance actions.§Due to advances in the understanding of the physics of failure, and in the technologies used to combat this failure; the literature on maintenance of unreliable systems is vast. Complex System Maintenance Handbook is the first book to integrate this vast literature with chapters written by internationally-renowned active researchers and experienced practitioners focussing on different aspects of maintenance. Each chapter will review the literature dealing with a particular aspect of maintenance, report on developments and trends in a particular industry sector or present a case study.§Complex System Maintenance Handbook narrows the gap between theory and practice and will trigger new research on different aspects of maintenance. It will be of interest to maintenance engineers and managers working in industry as well as researchers and graduate students in the fields of maintenance, industrial engineering and applied mathematics.The efficient functioning of modern society depends on the smooth operation of many complex systems which provide products and services. These include transport systems, communication systems, utilities, manufacturing plants, processing plants, hospitals and banks. Such systems are unreliable in the sense that they degrade with age and/or usage and fail when they are no longer capable of delivering the products and services. When a complex system fails, the consequences can be dramatic. It can result in serious economic losses, affect humans and do serious damage to the environment. These failures can be controlled through preventive maintenance actions. §Due to advances in the understanding of the physics of failure, and in the technologies used to combat this failure; the literature on maintenance of unreliable systems is vast. Complex System Maintenance Handbook is the first book to integrate this vast literature with chapters written by internationally-renowned active researchers and experienced practitioners focussing on different aspects of maintenance. Each chapter reviews the literature dealing with a particular aspect of maintenance, reports on developments and trends in a particular industry sector, or presents a case study. §Complex System Maintenance Handbook narrows the gap between theory and practice and will trigger new research on different aspects of maintenance. It will be of interest to maintenance engineers and managers working in industry, as well as researchers and graduate students in the fields of maintenance, industrial engineering and applied mathematics.

Sklep: Libristo.pl

### Simulated Annealing and Boltzmann Machines JOHN WILEY & SONS LTD

**Książki / Literatura obcojęzyczna**

Wiley-Interscience Series in Discrete Mathematics and Optimization Advisory Editors Ronald L. Graham Jan Karel Lenstra Robert E. Tarjan Discrete Mathematics and Optimization involves the study of finite structures. It is one of the fastest growing areas in mathematics today. The level and depth of recent advances in the area and the wide applicability of its evolving techniques point to the rapidity with which the field is moving from its beginnings to maturity and presage the ever-increasing interaction between it and computer science. The Series provides a broad coverage of discrete mathematics and optimization, ranging over such fields as combinatorics, graph theory, enumeration, mathematical programming and the analysis of algorithms, and including such topics as Ramsey theory, transversal theory, block designs, finite geometries, Polya theory, graph and matroid algorithms, network flows, polyhedral combinatorics and computational complexity. The Wiley - Interscience Series in Discrete Mathematics and Optimization will be a substantial part of the record of this extraordinary development. Recent titles in the Series: Search Problems Rudolf Ahlswede, University of Bielefeld, Federal Republic of Germany Ingo Wegener, Johann Wolfgang Goethe University, Frankfurt, Federal Republic of Germany The problems of search, exploration, discovery and identification are of key importance in a wide variety of applications. This book will be of great interest to all those concerned with searching, sorting, information processing, design of experiments and optimal allocation of resources. 1987 Introduction to Optimization E. M. L. Beale FRS, Scicon Ltd, Milton Keynes, and Imperial College, London This book is intended as an introduction to the many topics covered by the term 'optimization', with special emphasis on applications in industry. It is divided into three parts. The first part covers unconstrained optimization, the second describes the methods used to solve linear programming problems, and the third covers nonlinear programming, integer programming and dynamic programming. The book is intended for senior undergraduate and graduate students studying optimization as part of a course in mathematics, computer science or engineering. 1988

Sklep: Libristo.pl

### Networks Oxford University Press

**Książki / Literatura obcojęzyczna**

The scientific study of networks, including computer networks, social networks, and biological networks, has received an enormous amount of interest in the last few years. The rise of the Internet and the wide availability of inexpensive computers have made it possible to gather and analyze network data on a large scale, and the development of a variety of new theoretical tools has allowed us to extract new knowledge from many different kinds of networks. The study of networks is§broadly interdisciplinary and important developments have occurred in many fields, including mathematics, physics, computer and information sciences, biology, and the social sciences. This book brings together for the first time the most important breakthroughs in each of these fields and presents§them in a coherent fashion, highlighting the strong interconnections between work in different areas.§Subjects covered include the measurement and structure of networks in many branches of science, methods for analyzing network data, including methods developed in physics, statistics, and sociology, the fundamentals of graph theory, computer algorithms, and spectral methods, mathematical models of networks, including random graph models and generative models, and theories of dynamical processes taking place on networks.

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### Literature of Spanish Caribbean to 1900 CD Primary Source Media

**Literatura faktu**

Some ten years before Harriet Beecher Stowe's 'Uncle Tom's Cabin', Cuban writer Anselmo Suarez y Romero captured - for the first time in the Americas - the sights, sounds and sensations of slavery.Translated into English for the first time, 'Francisco' is one of more than 800 texts collected in 'Literary Eras: Literature of the Spanish Caribbean to 1900'. Never before has such a comprehensive gathering of works from the Caribbean - the cradle of modern American culture - been brought together in a fully searchable, electronic format.Antonio Benitez-Rojo, the internationally recognized fiction writer ('A View from the Mangrove') and critic ('The Repeating Island'), and the poet, critic and translator Alan West-DurĂĄn have selected works ranging in genre from poetry to theater to autobiography and in subject from history to medicine, economics and politics. More than 200 authors are represented, including such well-known figures as Bartolome de las Casas and JosĂŠ MartĂŤ, and among the very first women and black writers published in the Americas: Leonor de Ovando and Juan Manzano, among dozens of others. A biography of each author, written especially for the disc in English and in Spanish, is also included.In addition to reproducing the texts in Spanish, these CD-ROMs offer translations for the first time of two dozen classic short stories, including work by Cirilio Villaverde, two dozen poems by such writers as Lola RodrĂguez de TĂo and the full-length novel, 'Francisco'. The two-disc set allows users to choose between an English and Spanish interface.Expertly edited, bringing a wealth of new material to light, 'Literary Eras: Literature of the Spanish Caribbean to 1900', is an unprecedented tool with which to study an area of growing importance to historians, literary critics, and many others.This database brings together a wide variety of resources that can be searched as never before. Now research that required hours of combing through library stacks, or travel to distant libraries, can be done efficiently through three types of searches: - Standard Search - a general survey-like search of the complete database for words and phrases using Boolean connectors, truncated Booleans, variant spellings, wild card and adjacency. Results are ranked by relevancy. - Advanced Search - a more targeted route offering specific data fields: Text, Author, Title, Index Term, Edition, Dates, Chapter and Type. As fields are delineated, searches are narrowed. - Natural Language Search - search words and phrases are retrieved, as are their synonyms from a proprietary thesaurus. The ability to locate, identify, reference and document various themes, moods, characterizations and word usage within the key works of a period allows unprecedented creativity in scholarly research. 'Literary Eras: Literature of the Spanish Caribbean to 1900' supports comprehensive and flexible research with functions such as:- Browsing - a researcher can review the entire database by opening the Table of Contents which is organized alphabetically by Type of Work. Options available to expand categories for in-depth content information or reorganize the data by Author, Title or Date for a different perspective on contents. - Cross-Reference - allows access to a list of related index terms from an active content window, with full bibliographic citations. Any listed item can then be linked and viewed. - Bookmark - enables the researcher to mark or recall a window for quick retrieval. - Revisit - lists every item previously viewed during a research session. A researcher can revisit an item, delete an unnecessary citation, or use the print/save option to either print or save the Revisit List for reference or if a session is interrupted.

Sklep: Albertus.pl

### Algebra II Springer International Publishing

**Książki / Literatura obcojęzyczna**

This book is the second volume of an intensive "Russian-style" two-year undergraduate course in abstract algebra, and introduces readers to the basic algebraic structures - fields, rings, modules, algebras, groups, and categories - and explains the main principles of and methods for working with them. The course covers substantial areas of advanced combinatorics, geometry, linear and multilinear algebra, representation theory, category theory, commutative algebra, Galois theory, and algebraic geometry - topics that are often overlooked in standard undergraduate courses. This textbook is based on courses the author has conducted at the Independent University of Moscow and at the Faculty of Mathematics in the Higher School of Economics. The main content is complemented by a wealth of exercises for class discussion, some of which include comments and hints, as well as problems for independent study.

Sklep: Libristo.pl

### Fractional Differential Equations BERTRAMS

**Książki / Literatura obcojęzyczna**

This book is a landmark title in the continuous move from integer to non-integer in mathematics: from integer numbers to real numbers, from factorials to the gamma function, from integer-order models to models of an arbitrary order. For historical reasons, the word 'fractional' is used instead of the word 'arbitrary'. This book is written for readers who are new to the fields of fractional derivatives and fractional-order mathematical models, and feel that they need them for developing more adequate mathematical models. In this book, not only applied scientists, but also pure mathematicians will find fresh motivation for developing new methods and approaches in their fields of research. A reader will find in this book everything necessary for the initial study and immediate application of fractional derivatives fractional differential equations, including several necessary special functions, basic theory of fractional differentiation, uniqueness and existence theorems, analytical numerical methods of solution of fractional differential equations, and many inspiring examples of applications. The key features include: a unique survey of many applications of fractional calculus; presents basic theory; includes a unified presentation of selected classical results, which are important for applications; provides many examples; contains a separate chapter of fractional order control systems, which opens new perspectives in control theory; the first systematic consideration of Caputo's fractional derivative in comparison with other selected approaches; and, includes tables of fractional derivatives, which can be used for evaluation of all considered types of fractional derivatives.

Sklep: Libristo.pl

### Index Analysis Springer London

**Książki / Literatura obcojęzyczna**

The featured review of the AMS describes the author's earlier work in the field of approach spaces as, 'A landmark in the history of general topology'. In this book, the author has expanded this study further and taken it in a new and exciting direction. The number of conceptually and technically different systems which characterize approach spaces is increased and moreover their uniform counterpart, uniform gauge spaces, is put into the picture. An extensive study of completions, both for approach spaces and for uniform gauge spaces, as well as compactifications for approach spaces is performed. A paradigm shift is created by the new concept of index analysis. Making use of the rich intrinsic quantitative information present in approach structures, a technique is developed whereby indices are defined that measure the extent to which properties hold, and theorems become inequalities involving indices; therefore vastly extending the realm of applicability of many classical results. The theory is then illustrated in such varied fields as topology, functional analysis, probability theory, hyperspace theory and domain theory. Finally a comprehensive analysis is made concerning the categorical aspects of the theory and its links with other topological categories. Index Analysis will be useful for mathematicians working in category theory, topology, probability and statistics, functional analysis, and theoretical computer science.

Sklep: Libristo.pl

### Harmonic Analysis & Integral Geometry CRC Press Inc.

**Inne 1**

Up-to-date research developments in the fields of Radon transforms and integral geometryTreatment of the theory of Radon transforms on treesExplores the connections between Radon transforms, integral geometry, symmetric spaces, and partial differential equations Comprising a selection of expository and research papers, Harmonic Analysis and Integral Geometry grew from presentations offered at the July 1998 Summer University of Safi, Morocco-an annual, advanced research school and congress. This lively and very successful event drew the attendance of many top researchers, who offered both individual lectures and coordinated courses on specific research topics within this fast growing subject.Harmonic Analysis and Integral Geometry presents important recent advances in the fields of Radon transforms, integral geometry, and harmonic analysis on Lie groups and symmetric spaces. Several articles are devoted to the new theory of Radon transforms on trees.With its related presentations addressing recent developments in various aspects of these intriguing areas of study, Harmonic Analysis and Integral Geometry becomes an important addition not only to the Research Notes in Mathematics series, but to the general mathematics literature.

Sklep: Albertus.pl

### H. Kennedy - Peano Springer Netherlands

**Książki / Literatura obcojęzyczna**

All students of mathematics know of Peano's postulates for the natural numbers and his famous space-filling curve, yet their knowledge often stops there. Part of the reason is that there has not until now been a full-scale study of his life and works. This must surely be surprising, when one realizes the length of his academic career (over 50 years) and the extent of his publica tions (over 200) in a wide variety of fields, many of which had immediate and long-term effects on the development of modern mathematics. A study of his life seems long overdue. It appeared to me that the most likely person to write a biography of Peano would be his devoted disciple Ugo Cassina, with whom I studied at the University of Milan in 1957-58. I wrote to Professor Cassina on 29 October, 1963, inquiring if he planned to write the biography, and I offered him my assistance, since I hoped to return to Italy for a year. He replied on 28 November, 1963, suggesting that we collaborate, meaning by this that I would write the biography, in English, using his material and advice. I gladly agreed to this suggestion, but work on the project had hardly begun when Professor Cassina died unexpectedly on 5 October, 1964. I then decided to continue the project on my own. I spent the academic year 1966-67 in Turin; completion of the book took ten years.

Sklep: Libristo.pl

### Universal Algebraic Geometry Betascript Publishing

**Książki / Literatura obcojęzyczna**

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In universal algebraic geometry, algebraic geometry is generalized from the geometry of rings to geometry of arbitrary varieties of algebras, so that every variety of algebras has its own algebraic geometry. Note that the two terms algebraic variety and variety of algebras should not be confused. Algebraic geometry is a branch of mathematics which combines techniques of abstract algebra, especially commutative algebra, with the language and the problems of geometry. It occupies a central place in modern mathematics and has multiple conceptual connections with such diverse fields as complex analysis, topology and number theory. Initially a study of polynomial equations in many variables, the subject of algebraic geometry starts where equation solving leaves off, and it becomes at least as important to understand the totality of solutions of a system of equations, as to find some solution; this leads into some of the deepest waters in the whole of mathematics, both conceptually and in terms of technique.

Sklep: Libristo.pl

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