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

- znaleziono 33 produkty w 4 sklepach

### Electric Fields of the Brain Oxford University Press

**Książki / Literatura obcojęzyczna**

Electroencephalography (EEG) is practiced by neurologists, cognitive neuroscientists, and others interested in functional brain imaging. Whether for clinical or experimental purposes, all studies share a common purpose-to relate scalp potentials to the underlying neurophysiology. Electrical potentials on the scalp exhibit spatial and temporal patterns that depend on the nature and location of the sources and the way that currents and fields spread through tissue. Because these dynamic patterns are correlated with behavior and cognition, EEG provides a "window on the mind," correlating physiology and psychology. This classic and widely acclaimed text, originally published in 1981, filled the large gap between EEG and the physical sciences. It has now been brought completely up to date and will again serve as an invaluable resource for understanding the principles of electric fields in living tissue and for using hard science to study human consciousness and cognition. No comparable volume exists for it is no easy task to explain the problems of EEG in clear language, with mathematics presented mainly in appendices. Among the many topics covered by the Second Edition are micro and meso (intermediate scale) synaptic sources, electrode placement, choice of reference, volume conduction, power and coherence measures, projection of scalp potentials to dura surface, dynamic signatures of conscious experience, neural networks immersed in global fields of synaptic action, and physiological bases for brain source dynamics. The Second Edition is an invaluable resource for neurologists, neuroscientists (especially cognitive neuroscientists), biomedical engineers, and their students and trainees. It will also appeal to physicists, mathematicians, computer scientists, psychiatrists, and industrial engineers interested in EEG.

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

### 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.

Sklep: Libristo.pl

### 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

### Caribbean Geography Scarecrow Press

**Książki / Literatura obcojęzyczna**

The islands and seascapes gracing the Caribbean Sea have long been areas of interest and research for geographers and other scholars from around the world. The lands and waters of the Caribbean region have stimulated an extensive body of research and writing across the many fields of geography. This book collects, organizes, and presents as many of these scholarly publications as possible to aid in the teaching, study, and further scholarship of the geography of this area. Chapters are organized into the following categories: general works, cultural and social geography, economic geography, historical geography, physical geography, political geography, and urban geography. The types of publications noted include atlases, books, book chapters, articles, master's theses, and doctoral dissertations. Entries in each chapter are arranged alphabetically by author's last name. Where there is more than one publication per author, the earliest is listed first, and the rest are listed chronologically after the first entry. This volume is a convenient and useful collection of existing references on the geography of the Caribbean region that can assist teachers and students in both the study and research of the area.

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

### 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

### The Universe of Conics Springer, Berlin

**Książki / Literatura obcojęzyczna**

This text presents the classical theory of conics in a modern form. It includes many novel results that are not easily accessible elsewhere. The approach combines synthetic and analytic methods to derive projective, affine and metrical properties, covering both Euclidean and non-Euclidean geometries.§§With more than two thousand years of history, conic sections play a fundamental role in numerous fields of mathematics and physics, with applications to mechanical engineering, architecture, astronomy, design and computer graphics.§§This text will be invaluable to undergraduate mathematics students, those in adjacent fields of study, and anyone with an interest in classical geometry.§§Augmented with more than two hundred fifty figures and photographs, this innovative text will enhance your understanding of projective geometry, linear algebra, mechanics, and differential geometry, with careful exposition and many illustrative exercises.§§

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

### Algebra I Springer, Berlin

**Książki / Literatura obcojęzyczna**

This book is the first volume of an intensive "Russian-style" two-year graduate 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

### Language of Physics Oxford University Press

**Książki / Literatura obcojęzyczna**

This book introduces physics to a first year undergraduate in the language of mathematics. As such it aims to give a mathematical foundation to the physics taught pre-university, as well as extending it to the skills and disciplines approached during a first degree course in physical science or engineering. It bridges two gaps in modern education - between the level of difficulty in pre-university study and undergraduate study, and between mathematics and physics. Many of the concepts are revised or introduced in the course of 'workshop' questions which are an integral part of the text. Fully explained solutions to these workshops are given as a substantial appendix to the book. The student will be enabled to study classical mechanics in terms of vector calculus, fields in terms of line and surface integrals, oscillations and waves in terms of complex exponentials and so on. As far as we are aware, this book is unique in its aim, its content, and its approach.

Sklep: Libristo.pl

### General Relativity and the Einstein Equations Oxford University Press

**Książki / Literatura obcojęzyczna**

General Relativity has passed all experimental and observational tests to model the motion of isolated bodies with strong gravitational fields, though the mathematical and numerical study of these motions is still in its infancy. It is believed that General Relativity models our cosmos, with a manifold of dimensions possibly greater than four and debatable topology opening a vast field of investigation for mathematicians and physicists alike. Remarkable conjectures have been proposed, many results have been obtained but many fundamental questions remain open. In this monograph, aimed at researchers in mathematics and physics, the author overviews the basic ideas in General Relativity, introduces the necessary mathematics and discusses some of the key open questions in the field.

Sklep: Libristo.pl

### Three-Dimensional Geometry and Topology Princeton University Press

**Książki / Literatura obcojęzyczna**

This book develops some of the extraordinary richness, beauty, and power of geometry in two and three dimensions, and the strong connection of geometry with topology. Hyperbolic geometry is the star. A strong effort has been made to convey not just denatured formal reasoning (definitions, theorems, and proofs), but a living feeling for the subject. There are many figures, examples, and exercises of varying difficulty. This book was the origin of a grand scheme developed by Thurston that is now coming to fruition. In the 1920s and 1930s the mathematics of two-dimensional spaces was formalized. It was Thurston's goal to do the same for three-dimensional spaces. To do this, he had to establish the strong connection of geometry to topology--the study of qualitative questions about geometrical structures. The author created a new set of concepts, and the expression "Thurston-type geometry" has become a commonplace. Three-Dimensional Geometry and Topology had its origins in the form of notes for a graduate course the author taught at Princeton University between 1978 and 1980. Thurston shared his notes, duplicating and sending them to whoever requested them. Eventually, the mailing list grew to more than one thousand names. The book is the culmination of two decades of research and has become the most important and influential text in the field. Its content also provided the methods needed to solve one of mathematics' oldest unsolved problems--the Poincar Conjecture. In 2005 Thurston won the first AMS Book Prize, for Three-dimensional Geometry and Topology. The prize recognizes an outstanding research book that makes a seminal contribution to the research literature. Thurston received the Fields Medal, the mathematical equivalent of the Nobel Prize, in 1982 for the depth and originality of his contributions to mathematics. In 1979 he was awarded the Alan T. Waterman Award, which recognizes an outstanding young researcher in any field of science or engineering supported by the National Science Foundation.

Sklep: Libristo.pl

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