Encyclopaedia Of Mathematics Set
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| Author | : John P. Mayberry |
| Publisher | : Cambridge University Press |
| Total Pages | : 454 |
| Release | : 2000 |
| Genre | : Mathematics |
| ISBN | : 9780521770347 |
This book presents a unified approach to the foundations of mathematics in the theory of sets, covering both conventional and finitary (constructive) mathematics. It is based on a philosophical, historical and mathematical analysis of the relation between the concepts of 'natural number' and 'set'. The author investigates the logic of quantification over the universe of sets and discusses its role in second order logic, as well as in the analysis of proof by induction and definition by recursion. Suitable for graduate students and researchers in both philosophy and mathematics.
| Author | : Michiel Hazewinkel |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 982 |
| Release | : 1994-02-28 |
| Genre | : Mathematics |
| ISBN | : 9781556080104 |
The Encyclopaedia of Mathematics is the most up-to-date, authoritative and comprehensive English-language work of reference in mathematics which exists today. With over 7,000 articles from `A-integral' to `Zygmund Class of Functions', supplemented with a wealth of complementary information, and an index volume providing thorough cross-referencing of entries of related interest, the Encyclopaedia of Mathematics offers an immediate source of reference to mathematical definitions, concepts, explanations, surveys, examples, terminology and methods. The depth and breadth of content and the straightforward, careful presentation of the information, with the emphasis on accessibility, makes the Encyclopaedia of Mathematics an immensely useful tool for all mathematicians and other scientists who use, or are confronted by, mathematics in their work. The Enclyclopaedia of Mathematics provides, without doubt, a reference source of mathematical knowledge which is unsurpassed in value and usefulness. It can be highly recommended for use in libraries of universities, research institutes, colleges and even schools.
| Author | : Joshua D. Mathias |
| Publisher | : Nova Science Publishers |
| Total Pages | : 0 |
| Release | : 2012 |
| Genre | : Mathematics |
| ISBN | : 9781613242285 |
Includes bibliographical references and index.
| Author | : Konrad Engel |
| Publisher | : Cambridge University Press |
| Total Pages | : 430 |
| Release | : 1997-01-28 |
| Genre | : Mathematics |
| ISBN | : 0521452066 |
The starting point of this book is Sperner's theorem, which answers the question: What is the maximum possible size of a family of pairwise (with respect to inclusion) subsets of a finite set? This theorem stimulated the development of a fast growing theory dealing with external problems on finite sets and, more generally, on finite partially ordered sets. This book presents Sperner theory from a unified point of view, bringing combinatorial techniques together with methods from programming, linear algebra, Lie-algebra representations and eigenvalue methods, probability theory, and enumerative combinatorics. Researchers and graduate students in discrete mathematics, optimisation, algebra, probability theory, number theory, and geometry will find many powerful new methods arising from Sperner theory.
| Author | : Jean-Pierre Françoise |
| Publisher | : Academic Press |
| Total Pages | : 742 |
| Release | : 2006 |
| Genre | : Mathematics |
| ISBN | : |
The Encyclopedia of Mathematical Physics provides a complete resource for researchers, students and lecturers with an interest in mathematical physics. It enables readers to access basic information on topics peripheral to their own areas, to provide a repository of the core information in the area that can be used to refresh the researcher's own memory banks, and aid teachers in directing students to entries relevant to their course-work. The Encyclopedia does contain information that has been distilled, organised and presented as a complete reference tool to the user and a landmark to the body of knowledge that has accumulated in this domain. It also is a stimulus for new researchers working in mathematical physics or in areas using the methods originating from work in mathematical physics by providing them with focused high quality background information. Editorial Board: Jean-Pierre Françoise, Université Pierre et Marie Curie, Paris, France Gregory L. Naber, Drexel University, Philadelphia, PA, USA Tsou Sheung Tsun, University of Oxford, UK Also available online via ScienceDirect (2006) - featuring extensive browsing, searching, and internal cross-referencing between articles in the work, plus dynamic linking to journal articles and abstract databases, making navigation flexible and easy.
| Author | : Nathalie Caspard |
| Publisher | : Cambridge University Press |
| Total Pages | : 351 |
| Release | : 2012-01-26 |
| Genre | : Mathematics |
| ISBN | : 1107013690 |
A comprehensive account that gives equal attention to the combinatorial, logical and applied aspects of partially ordered sets.
| Author | : Louise Grinstein |
| Publisher | : Routledge |
| Total Pages | : 912 |
| Release | : 2001-03-15 |
| Genre | : Education |
| ISBN | : 1136787232 |
First published in 2001. Routledge is an imprint of Taylor & Francis, an informa company.
| Author | : Nicholas J. Higham |
| Publisher | : Princeton University Press |
| Total Pages | : 1014 |
| Release | : 2015-09-09 |
| Genre | : Mathematics |
| ISBN | : 0691150397 |
The must-have compendium on applied mathematics This is the most authoritative and accessible single-volume reference book on applied mathematics. Featuring numerous entries by leading experts and organized thematically, it introduces readers to applied mathematics and its uses; explains key concepts; describes important equations, laws, and functions; looks at exciting areas of research; covers modeling and simulation; explores areas of application; and more. Modeled on the popular Princeton Companion to Mathematics, this volume is an indispensable resource for undergraduate and graduate students, researchers, and practitioners in other disciplines seeking a user-friendly reference book on applied mathematics. Features nearly 200 entries organized thematically and written by an international team of distinguished contributors Presents the major ideas and branches of applied mathematics in a clear and accessible way Explains important mathematical concepts, methods, equations, and applications Introduces the language of applied mathematics and the goals of applied mathematical research Gives a wide range of examples of mathematical modeling Covers continuum mechanics, dynamical systems, numerical analysis, discrete and combinatorial mathematics, mathematical physics, and much more Explores the connections between applied mathematics and other disciplines Includes suggestions for further reading, cross-references, and a comprehensive index
| Author | : Grzegorz Tomkowicz |
| Publisher | : Cambridge University Press |
| Total Pages | : 367 |
| Release | : 2016-06-14 |
| Genre | : Mathematics |
| ISBN | : 1107042593 |
The Banach-Tarski Paradox seems patently false. The authors explain it and its implications in terms appropriate for an undergraduate.
| Author | : Stan Wagon |
| Publisher | : Cambridge University Press |
| Total Pages | : 276 |
| Release | : 1993-09-24 |
| Genre | : Mathematics |
| ISBN | : 9780521457040 |
Asserting that a solid ball may be taken apart into many pieces that can be rearranged to form a ball twice as large as the original, the Banach-Tarski paradox is examined in relationship to measure and group theory, geometry and logic.
