Mathematika

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Greek Philosophical Terms

Author : Francis E. Peters
Publisher : NYU Press
ISBN 13 : 9780814765524
Total Pages : 252 pages
Book Rating : 4.7/5 (655 download)

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Book Synopsis Greek Philosophical Terms by : Francis E. Peters

Download or read book Greek Philosophical Terms written by Francis E. Peters and published by NYU Press. This book was released on 1967 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combining the convenience of a dictionary with the depth of a history of philosophy, this new reference book fills a great need and should prove exceedinly useful to all students and scholars in classics, philosophy, theology and linguistics. The book defines and translates key terms used by pre-Christian philosophers up to the time of Proclus, with special references to the writings of the philosophers as they developed nuances and new meanings for the terms. Entries are arranged in dictionary style, but a knowledge of Greek is not necessary to use the book, since an English-Greek index provides the reader with Greek equivalents of English terms, with cross-reference to the main text. Its great value is that it isolates terms and allows the reader to follow their individual careers, while at the same time it offers an evolutionary history of the concept instead of a mere definition.

Use of Mathematical Literature

Author : A.R. Dorling
Publisher : Butterworth-Heinemann
ISBN 13 : 1483164721
Total Pages : 273 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Use of Mathematical Literature by : A.R. Dorling

Download or read book Use of Mathematical Literature written by A.R. Dorling and published by Butterworth-Heinemann. This book was released on 2014-05-20 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Use of Mathematical Literature discusses the bibliographic concerns of mathematical literature. The book is comprised of 14 chapters that cover characteristics of mathematical literature and provide reviews of some of the major literature in various mathematical fields. The text first discusses the role of the literature in mathematics, and then proceeds to tackling major organizations, journals, and reference materials. Next, the book provides critical accounts of the major literature in various mathematical fields, such as combinatorics, topology, and mathematical programming. The book will be of great use to students, practitioners, and researchers of mathematics. Other profession handling math literature, such as teachers, librarians, and translators will also find this book invaluable.

Introduction to Number Theory

Author : L.-K. Hua
Publisher : Springer Science & Business Media
ISBN 13 : 3642681301
Total Pages : 591 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Introduction to Number Theory by : L.-K. Hua

Download or read book Introduction to Number Theory written by L.-K. Hua and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: To Number Theory Translated from the Chinese by Peter Shiu With 14 Figures Springer-Verlag Berlin Heidelberg New York 1982 HuaLooKeng Institute of Mathematics Academia Sinica Beijing The People's Republic of China PeterShlu Department of Mathematics University of Technology Loughborough Leicestershire LE 11 3 TU United Kingdom ISBN -13 : 978-3-642-68132-5 e-ISBN -13 : 978-3-642-68130-1 DOl: 10.1007/978-3-642-68130-1 Library of Congress Cataloging in Publication Data. Hua, Loo-Keng, 1910 -. Introduc tion to number theory. Translation of: Shu lun tao yin. Bibliography: p. Includes index. 1. Numbers, Theory of. I. Title. QA241.H7513.5 12'.7.82-645. ISBN-13:978-3-642-68132-5 (U.S.). AACR2 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, reuse of illustra tions, broadcasting, reproductiOli by photocopying machine or similar means, and storage in data banks. Under {sect} 54 of the German Copyright Law where copies are made for other than private use a fee is payable to "VerwertungsgeselIschaft Wort", Munich. © Springer-Verlag Berlin Heidelberg 1982 Softcover reprint of the hardcover 1st edition 1982 Typesetting: Buchdruckerei Dipl.-Ing. Schwarz' Erben KG, Zwettl. 214113140-5432 I 0 Preface to the English Edition The reasons for writing this book have already been given in the preface to the original edition and it suffices to append a few more points

Sphere Packings

Author : Chuanming Zong
Publisher : Springer Science & Business Media
ISBN 13 : 0387227806
Total Pages : 245 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Sphere Packings by : Chuanming Zong

Download or read book Sphere Packings written by Chuanming Zong and published by Springer Science & Business Media. This book was released on 2008-01-20 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sphere packings is one of the most fascinating and challenging subjects in mathematics. In the course of centuries, many exciting results have been obtained, ingenious methods created, related challenging problems proposed, and many surprising connections with other subjects found. This book gives a full account of this fascinating subject, especially its local aspects, discrete aspects, and its proof methods. The book includes both classical and contemporary results and provides a full treatment of the subject.

Convex Polytopes

Author : Branko Grünbaum
Publisher : Springer Science & Business Media
ISBN 13 : 1461300193
Total Pages : 561 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Convex Polytopes by : Branko Grünbaum

Download or read book Convex Polytopes written by Branko Grünbaum and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The original edition [...] inspired a whole generation of grateful workers in polytope theory. Without it, it is doubtful whether many of the subsequent advances in the subject would have been made. The many seeds it sowed have since grown into healthy trees, with vigorous branches and luxuriant foliage. It is good to see it in print once again." --Peter McMullen, University College London

Hausdorff Measures

Author : Claude Ambrose Rogers
Publisher : Cambridge University Press
ISBN 13 : 9780521624916
Total Pages : 230 pages
Book Rating : 4.6/5 (249 download)

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Book Synopsis Hausdorff Measures by : Claude Ambrose Rogers

Download or read book Hausdorff Measures written by Claude Ambrose Rogers and published by Cambridge University Press. This book was released on 1998-10-22 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: When it was first published this was the first general account of Hausdorff measures, a subject that has important applications in many fields of mathematics. There are three chapters: the first contains an introduction to measure theory, paying particular attention to the study of non-s-finite measures. The second develops the most general aspects of the theory of Hausdorff measures, and the third gives a general survey of applications of Hausdorff measures followed by detailed accounts of two special applications. This edition has a foreword by Kenneth Falconer outlining the developments in measure theory since this book first appeared. Based on lectures given by the author at University College London, this book is ideal for graduate mathematicians with no previous knowledge of the subject, but experts in the field will also want a copy for their shelves.

Contributions to Geometry

Author : WILLS
Publisher : Birkhäuser
ISBN 13 : 3034857659
Total Pages : 399 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Contributions to Geometry by : WILLS

Download or read book Contributions to Geometry written by WILLS and published by Birkhäuser. This book was released on 2013-11-11 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the time from June 28-July 1, 1978, representatives of different branches of geometry met in Siegen for discussion of and reports on current problems. In particular, the survey lectures, presented by well known geometers, gave nonspecialists the welcome opportunity to learn about the questions posed, the methods used and the results obtained in different areas of the field of geometry. The research areas represented at the meeting in Siegen are reflected in the list of participants and their contributions: Ranging from geometric convexity and related topics to differential geometry and kinematics. The foundations of geometry, an area well established in Germany, was also represented. It is a pleasure to thank all the lecturers as well as other participants in the Geometry Symposium for their contribution to the success of the meeting. We also thank the "Minister fUr Wissenschaft und Forschung des Landes Nordrhein-Westfalen" and the University of Siegen for their generous support which helped make the Symposium so successful. In order to make the contributions and results of the Symposium accessible to the general public, the publication of a proceedings volume was planned. The idea was to give a summary of a wide spectrum of research in geometr- through survey articles and original research papers.

Lagerungen

Author : László Fejes Tóth
Publisher : Springer Nature
ISBN 13 : 3031218000
Total Pages : 454 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Lagerungen by : László Fejes Tóth

Download or read book Lagerungen written by László Fejes Tóth and published by Springer Nature. This book was released on 2023-04-28 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: The publication of the first edition of Lagerungen in der Ebene, auf der Kugel und im Raum in 1953 marked the birth of discrete geometry. Since then, the book has had a profound and lasting influence on the development of the field. It included many open problems and conjectures, often accompanied by suggestions for their resolution. A good number of new results were surveyed by László Fejes Tóth in his Notes to the 2nd edition. The present version of Lagerungen makes this classic monograph available in English for the first time, with updated Notes, completed by extensive surveys of the state of the art. More precisely, this book consists of: a corrected English translation of the original Lagerungen, the revised and updated Notes on the original text, eight self-contained chapters surveying additional topics in detail. The English edition provides a comprehensive update to an enduring classic. Combining the lucid exposition of the original text with extensive new material, it will be a valuable resource for researchers in discrete geometry for decades to come.

Integer Programming and Related Areas

Author : Rabe v. Randow
Publisher : Springer Science & Business Media
ISBN 13 : 3642516548
Total Pages : 522 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Integer Programming and Related Areas by : Rabe v. Randow

Download or read book Integer Programming and Related Areas written by Rabe v. Randow and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fields of integer programming and combinatorial optimization continue to be areas of great vitality, with an ever increasing number of publications and journals appearing. A classified bibliography thus continues to be necessary and useful today, even more so than it did when the project, of which this is the fifth volume, was started in 1970 in the Institut fur Okonometrie und Operations Research of the University of Bonn. The pioneering first volume was compiled by Claus Kastning during the years 1970 - 1975 and appeared in 1976 as Volume 128 of the series Lecture Notes in Economics and Mathematical Systems published by the Springer Verlag. Work on the project was continued by Dirk Hausmann, Reinhardt Euler, and Rabe von Randow, and resulted in the publication of the second, third, and fourth volumes in 1978, 1982, and 1985 (Volumes 160, 197, and 243 of the above series). The present book constitutes the fifth volume of the bibliography and covers the period from autumn 1984 to the end of 1987. It contains 5864 new publications by 4480 authors and was compiled by Rabe von Randow. Its form is practically identical to that of the first four volumes, some additions having been made to the subject list.

Geometry of Numbers

Author : C. G. Lekkerkerker
Publisher : Elsevier
ISBN 13 : 1483259277
Total Pages : 521 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Geometry of Numbers by : C. G. Lekkerkerker

Download or read book Geometry of Numbers written by C. G. Lekkerkerker and published by Elsevier. This book was released on 2014-05-12 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bibliotheca Mathematica: A Series of Monographs on Pure and Applied Mathematics, Volume VIII: Geometry of Numbers focuses on bodies and lattices in the n-dimensional euclidean space. The text first discusses convex bodies and lattice points and the covering constant and inhomogeneous determinant of a set. Topics include the inhomogeneous determinant of a set, covering constant of a set, theorem of Minkowski-Hlawka, packing of convex bodies, successive minima and determinant of a set, successive minima of a convex body, extremal bodies, and polar reciprocal convex bodies. The publication ponders on star bodies, as well as points of critical lattices on the boundary, reducible, and irreducible star bodies and reduction of automorphic star bodies. The manuscript reviews homogeneous and inhomogeneous s forms and some methods. Discussions focus on asymmetric inequalities, inhomogeneous forms in more variables, indefinite binary quadratic forms, diophantine approximation, sums of powers of linear forms, spheres and quadratic forms, and a method of Blichfeldt and Mordell. The text is a dependable reference for researchers and mathematicians interested in bodies and lattices in the n-dimensional euclidean space.

The Geometric Vein

Author : C. Davis
Publisher : Springer Science & Business Media
ISBN 13 : 1461256488
Total Pages : 590 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis The Geometric Vein by : C. Davis

Download or read book The Geometric Vein written by C. Davis and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry has been defined as that part of mathematics which makes appeal to the sense of sight; but this definition is thrown in doubt by the existence of great geometers who were blind or nearly so, such as Leonhard Euler. Sometimes it seems that geometric methods in analysis, so-called, consist in having recourse to notions outside those apparently relevant, so that geometry must be the joining of unlike strands; but then what shall we say of the importance of axiomatic programmes in geometry, where reference to notions outside a restricted reper tory is banned? Whatever its definition, geometry clearly has been more than the sum of its results, more than the consequences of some few axiom sets. It has been a major current in mathematics, with a distinctive approach and a distinc ti v e spirit. A current, furthermore, which has not been constant. In the 1930s, after a period of pervasive prominence, it appeared to be in decline, even passe. These same years were those in which H. S. M. Coxeter was beginning his scientific work. Undeterred by the unfashionability of geometry, Coxeter pursued it with devotion and inspiration. By the 1950s he appeared to the broader mathematical world as a consummate practitioner of a peculiar, out-of-the-way art. Today there is no longer anything that out-of-the-way about it. Coxeter has contributed to, exemplified, we could almost say presided over an unanticipated and dra matic revival of geometry.

Handbook of Algebraic Topology

Author : I.M. James
Publisher : Elsevier
ISBN 13 : 0080532985
Total Pages : 1336 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Handbook of Algebraic Topology by : I.M. James

Download or read book Handbook of Algebraic Topology written by I.M. James and published by Elsevier. This book was released on 1995-07-18 with total page 1336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic topology (also known as homotopy theory) is a flourishing branch of modern mathematics. It is very much an international subject and this is reflected in the background of the 36 leading experts who have contributed to the Handbook. Written for the reader who already has a grounding in the subject, the volume consists of 27 expository surveys covering the most active areas of research. They provide the researcher with an up-to-date overview of this exciting branch of mathematics.

Discrepancy Theory

Author : Dmitriy Bilyk
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110652587
Total Pages : 225 pages
Book Rating : 4.1/5 (16 download)

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Book Synopsis Discrepancy Theory by : Dmitriy Bilyk

Download or read book Discrepancy Theory written by Dmitriy Bilyk and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-01-20 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contributions in this book focus on a variety of topics related to discrepancy theory, comprising Fourier techniques to analyze discrepancy, low discrepancy point sets for quasi-Monte Carlo integration, probabilistic discrepancy bounds, dispersion of point sets, pair correlation of sequences, integer points in convex bodies, discrepancy with respect to geometric shapes other than rectangular boxes, and also open problems in discrepany theory.

CRC Concise Encyclopedia of Mathematics

Author : Eric W. Weisstein
Publisher : CRC Press
ISBN 13 : 1420035223
Total Pages : 3253 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis CRC Concise Encyclopedia of Mathematics by : Eric W. Weisstein

Download or read book CRC Concise Encyclopedia of Mathematics written by Eric W. Weisstein and published by CRC Press. This book was released on 2002-12-12 with total page 3253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d

Handbook of Combinatorics Volume 1

Author : Bozzano G Luisa
Publisher : Elsevier
ISBN 13 : 0080933351
Total Pages : 1121 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Handbook of Combinatorics Volume 1 by : Bozzano G Luisa

Download or read book Handbook of Combinatorics Volume 1 written by Bozzano G Luisa and published by Elsevier. This book was released on 1995-12-11 with total page 1121 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Combinatorics, Volume 1 focuses on basic methods, paradigms, results, issues, and trends across the broad spectrum of combinatorics. The selection first elaborates on the basic graph theory, connectivity and network flows, and matchings and extensions. Discussions focus on stable sets and claw free graphs, nonbipartite matching, multicommodity flows and disjoint paths, minimum cost circulations and flows, special proof techniques for paths and circuits, and Hamilton paths and circuits in digraphs. The manuscript then examines coloring, stable sets, and perfect graphs and embeddings and minors. The book takes a look at random graphs, hypergraphs, partially ordered sets, and matroids. Topics include geometric lattices, structural properties, linear extensions and correlation, dimension and posets of bounded degree, hypergraphs and set systems, stability, transversals, and matchings, and phase transition. The manuscript also reviews the combinatorial number theory, point lattices, convex polytopes and related complexes, and extremal problems in combinatorial geometry. The selection is a valuable reference for researchers interested in combinatorics.

Effective Results and Methods for Diophantine Equations over Finitely Generated Domains

Author : Jan-Hendrik Evertse
Publisher : Cambridge University Press
ISBN 13 : 1009050036
Total Pages : 242 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis Effective Results and Methods for Diophantine Equations over Finitely Generated Domains by : Jan-Hendrik Evertse

Download or read book Effective Results and Methods for Diophantine Equations over Finitely Generated Domains written by Jan-Hendrik Evertse and published by Cambridge University Press. This book was released on 2022-04-28 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the first thorough treatment of effective results and methods for Diophantine equations over finitely generated domains. Compiling diverse results and techniques from papers written in recent decades, the text includes an in-depth analysis of classical equations including unit equations, Thue equations, hyper- and superelliptic equations, the Catalan equation, discriminant equations and decomposable form equations. The majority of results are proved in a quantitative form, giving effective bounds on the sizes of the solutions. The necessary techniques from Diophantine approximation and commutative algebra are all explained in detail without requiring any specialized knowledge on the topic, enabling readers from beginning graduate students to experts to prove effective finiteness results for various further classes of Diophantine equations.

Handbook of Discrete and Computational Geometry

Author : Csaba D. Toth
Publisher : CRC Press
ISBN 13 : 1351645919
Total Pages : 2354 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis Handbook of Discrete and Computational Geometry by : Csaba D. Toth

Download or read book Handbook of Discrete and Computational Geometry written by Csaba D. Toth and published by CRC Press. This book was released on 2017-11-22 with total page 2354 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Discrete and Computational Geometry is intended as a reference book fully accessible to nonspecialists as well as specialists, covering all major aspects of both fields. The book offers the most important results and methods in discrete and computational geometry to those who use them in their work, both in the academic world—as researchers in mathematics and computer science—and in the professional world—as practitioners in fields as diverse as operations research, molecular biology, and robotics. Discrete geometry has contributed significantly to the growth of discrete mathematics in recent years. This has been fueled partly by the advent of powerful computers and by the recent explosion of activity in the relatively young field of computational geometry. This synthesis between discrete and computational geometry lies at the heart of this Handbook. A growing list of application fields includes combinatorial optimization, computer-aided design, computer graphics, crystallography, data analysis, error-correcting codes, geographic information systems, motion planning, operations research, pattern recognition, robotics, solid modeling, and tomography.