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Author : Robert Katz
Publisher :
ISBN 13 :
Total Pages : 362 pages
Book Rating : 4.:/5 (41 download)
Download or read book Axiomatic Analysis written by Robert Katz and published by . This book was released on 1964 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Andrei Rodin
Publisher : Springer Science & Business Media
ISBN 13 : 3319004042
Total Pages : 285 pages
Book Rating : 4.3/5 (19 download)
Download or read book Axiomatic Method and Category Theory written by Andrei Rodin and published by Springer Science & Business Media. This book was released on 2013-10-14 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume explores the many different meanings of the notion of the axiomatic method, offering an insightful historical and philosophical discussion about how these notions changed over the millennia. The author, a well-known philosopher and historian of mathematics, first examines Euclid, who is considered the father of the axiomatic method, before moving onto Hilbert and Lawvere. He then presents a deep textual analysis of each writer and describes how their ideas are different and even how their ideas progressed over time. Next, the book explores category theory and details how it has revolutionized the notion of the axiomatic method. It considers the question of identity/equality in mathematics as well as examines the received theories of mathematical structuralism. In the end, Rodin presents a hypothetical New Axiomatic Method, which establishes closer relationships between mathematics and physics. Lawvere's axiomatization of topos theory and Voevodsky's axiomatization of higher homotopy theory exemplify a new way of axiomatic theory building, which goes beyond the classical Hilbert-style Axiomatic Method. The new notion of Axiomatic Method that emerges in categorical logic opens new possibilities for using this method in physics and other natural sciences. This volume offers readers a coherent look at the past, present and anticipated future of the Axiomatic Method.
Author : Robert Steven Winternitz
Publisher :
ISBN 13 :
Total Pages : 218 pages
Book Rating : 4.F/5 ( download)
Download or read book Axiomatic Analysis and Relativizations of Recursion Theory written by Robert Steven Winternitz and published by . This book was released on 1980 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Tom Leinster
Publisher : Cambridge University Press
ISBN 13 : 1108832709
Total Pages : 457 pages
Book Rating : 4.1/5 (88 download)
Download or read book Entropy and Diversity written by Tom Leinster and published by Cambridge University Press. This book was released on 2021-04-22 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discover the mathematical riches of 'what is diversity?' in a book that adds mathematical rigour to a vital ecological debate.
Author : Sara Negri
Publisher : Cambridge University Press
ISBN 13 : 1139501526
Total Pages : 279 pages
Book Rating : 4.1/5 (395 download)
Download or read book Proof Analysis written by Sara Negri and published by Cambridge University Press. This book was released on 2011-09-29 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book continues from where the authors' previous book, Structural Proof Theory, ended. It presents an extension of the methods of analysis of proofs in pure logic to elementary axiomatic systems and to what is known as philosophical logic. A self-contained brief introduction to the proof theory of pure logic is included that serves both the mathematically and philosophically oriented reader. The method is built up gradually, with examples drawn from theories of order, lattice theory and elementary geometry. The aim is, in each of the examples, to help the reader grasp the combinatorial behaviour of an axiom system, which typically leads to decidability results. The last part presents, as an application and extension of all that precedes it, a proof-theoretical approach to the Kripke semantics of modal and related logics, with a great number of new results, providing essential reading for mathematical and philosophical logicians.
Author : Pritam Sen
Publisher : New Age International
ISBN 13 : 9788122408119
Total Pages : 290 pages
Book Rating : 4.4/5 (81 download)
Download or read book Axiomatic Philosophy written by Pritam Sen and published by New Age International. This book was released on 1996 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: # Scientific Method In Philosophy : Scientific Method, Summary Of Axiomatic Philosophies# Western Philosophies : Plato, Aristotle, Kant, Russell# Eastern Philosophies : Samkara, Bhagavadgita, Confucius, Lao Tzu# New Axioms: New Aristotelian Philosophy, A Rational Religious Philosophy# References# Index.
Author : Edmund Landau
Publisher :
ISBN 13 : 9781950217083
Total Pages : 142 pages
Book Rating : 4.2/5 (17 download)
Download or read book Foundations of Analysis written by Edmund Landau and published by . This book was released on 2021-02 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: Natural numbers, zero, negative integers, rational numbers, irrational numbers, real numbers, complex numbers, . . ., and, what are numbers? The most accurate mathematical answer to the question is given in this book.
Author : Francis Borceux
Publisher : Springer Science & Business Media
ISBN 13 : 3319017306
Total Pages : 410 pages
Book Rating : 4.3/5 (19 download)
Download or read book An Axiomatic Approach to Geometry written by Francis Borceux and published by Springer Science & Business Media. This book was released on 2013-10-31 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing methodologically on those historical aspects that are relevant to supporting intuition in axiomatic approaches to geometry, the book develops systematic and modern approaches to the three core aspects of axiomatic geometry: Euclidean, non-Euclidean and projective. Historically, axiomatic geometry marks the origin of formalized mathematical activity. It is in this discipline that most historically famous problems can be found, the solutions of which have led to various presently very active domains of research, especially in algebra. The recognition of the coherence of two-by-two contradictory axiomatic systems for geometry (like one single parallel, no parallel at all, several parallels) has led to the emergence of mathematical theories based on an arbitrary system of axioms, an essential feature of contemporary mathematics. This is a fascinating book for all those who teach or study axiomatic geometry, and who are interested in the history of geometry or who want to see a complete proof of one of the famous problems encountered, but not solved, during their studies: circle squaring, duplication of the cube, trisection of the angle, construction of regular polygons, construction of models of non-Euclidean geometries, etc. It also provides hundreds of figures that support intuition. Through 35 centuries of the history of geometry, discover the birth and follow the evolution of those innovative ideas that allowed humankind to develop so many aspects of contemporary mathematics. Understand the various levels of rigor which successively established themselves through the centuries. Be amazed, as mathematicians of the 19th century were, when observing that both an axiom and its contradiction can be chosen as a valid basis for developing a mathematical theory. Pass through the door of this incredible world of axiomatic mathematical theories!
Author : Vladimir Kanovei
Publisher : Springer Science & Business Media
ISBN 13 : 366208998X
Total Pages : 421 pages
Book Rating : 4.6/5 (62 download)
Download or read book Nonstandard Analysis, Axiomatically written by Vladimir Kanovei and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the aftermath of the discoveries in foundations of mathematiC's there was surprisingly little effect on mathematics as a whole. If one looks at stan dard textbooks in different mathematical disciplines, especially those closer to what is referred to as applied mathematics, there is little trace of those developments outside of mathematical logic and model theory. But it seems fair to say that there is a widespread conviction that the principles embodied in the Zermelo - Fraenkel theory with Choice (ZFC) are a correct description of the set theoretic underpinnings of mathematics. In most textbooks of the kind referred to above, there is, of course, no discussion of these matters, and set theory is assumed informally, although more advanced principles like Choice or sometimes Replacement are often mentioned explicitly. This implicitly fixes a point of view of the mathemat ical universe which is at odds with the results in foundations. For example most mathematicians still take it for granted that the real number system is uniquely determined up to isomorphism, which is a correct point of view as long as one does not accept to look at "unnatural" interpretations of the membership relation.
Author : Basem El-Haik
Publisher : John Wiley & Sons
ISBN 13 : 0471714674
Total Pages : 370 pages
Book Rating : 4.4/5 (717 download)
Download or read book Axiomatic Quality written by Basem El-Haik and published by John Wiley & Sons. This book was released on 2005-05-06 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first book to integrate axiomatic design and robust design fora comprehensive quality approach As the adoption of quality methods grows across various industries,its implementation is challenged by situations where statisticaltools are inadequate, yet the earlier a proactive quality system isintroduced into a given process, the greater the payback thesemethods will yield. Axiomatic Quality brings together two well-established theories,axiomatic design and robust design, to eliminate or reduce bothconceptual and operational weaknesses. Providing a completeframework for immediate implementation, this book guides designteams in producing systems that operate at high-quality levels foreach of their design requirements. And it shows the way towardsachieving the Six-Sigma target--six times the standard deviationcontained between the target and each side of the specificationlimits--for each requirement. This book develops an aggressive axiomatic quality approachthat: * Provides the tools to reduce conceptual weaknesses of systemsusing a framework called the conceptual design for capability * Reduces operational weaknesses of systems in terms of qualitylosses and control costs * Uses mathematical relationships to bridge the gap betweenscience-based engineering and quality methods Acclaro DFSS Light, a Java-based software package that implementsaxiomatic design processes, is available for download from a Wileyftp site. Acclaro DFSS Light is a software product of AxiomaticDesign Solutions, Inc. Laying out a comprehensive approach while working through eachaspect of its implementation, Axiomatic Quality is an essentialresource for managers, engineers, and other professionals who wantto successfully deploy the most advanced methodology to tacklesystem weaknesses and improve quality.
Author : Lev D. Beklemishev
Publisher : Elsevier
ISBN 13 : 0080957412
Total Pages : 235 pages
Book Rating : 4.0/5 (89 download)
Download or read book Axiomatic Set Theory written by Lev D. Beklemishev and published by Elsevier. This book was released on 2000-04-01 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: Axiomatic Set Theory
Author : Volker Halbach
Publisher : Cambridge University Press
ISBN 13 : 1107424429
Total Pages : 361 pages
Book Rating : 4.1/5 (74 download)
Download or read book Axiomatic Theories of Truth written by Volker Halbach and published by Cambridge University Press. This book was released on 2014-02-27 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: A survey of the most important axiomatizations of truth, exploring their properties and how the logical results impinge on philosophical topics.
Author : Terence Tao
Publisher : Springer
ISBN 13 : 9811017891
Total Pages : 366 pages
Book Rating : 4.8/5 (11 download)
Download or read book Analysis I written by Terence Tao and published by Springer. This book was released on 2016-08-29 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is part one of a two-volume book on real analysis and is intended for senior undergraduate students of mathematics who have already been exposed to calculus. The emphasis is on rigour and foundations of analysis. Beginning with the construction of the number systems and set theory, the book discusses the basics of analysis (limits, series, continuity, differentiation, Riemann integration), through to power series, several variable calculus and Fourier analysis, and then finally the Lebesgue integral. These are almost entirely set in the concrete setting of the real line and Euclidean spaces, although there is some material on abstract metric and topological spaces. The book also has appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) can be taught in two quarters of 25–30 lectures each. The course material is deeply intertwined with the exercises, as it is intended that the student actively learn the material (and practice thinking and writing rigorously) by proving several of the key results in the theory.
Author : Mary Kathryn Thompson
Publisher : ICAD 2013
ISBN 13 : 0989465802
Total Pages : 231 pages
Book Rating : 4.9/5 (894 download)
Download or read book Proceedings of the 7th International Conference on Axiomatic Design written by Mary Kathryn Thompson and published by ICAD 2013. This book was released on 2013-06-26 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jan Gullberg
Publisher : W. W. Norton & Company
ISBN 13 : 9780393040029
Total Pages : 1148 pages
Book Rating : 4.0/5 (4 download)
Download or read book Mathematics From the Birth of Numbers written by Jan Gullberg and published by W. W. Norton & Company. This book was released on 1997-01-07 with total page 1148 pages. Available in PDF, EPUB and Kindle. Book excerpt: An illustrated exploration of mathematics and its history, beginning with a study of numbers and their symbols, and continuing with a broad survey that includes consideration of algebra, geometry, hyperbolic functions, fractals, and many other mathematical functions.
Author : William H. E. Day
Publisher : SIAM
ISBN 13 : 0898715512
Total Pages : 167 pages
Book Rating : 4.8/5 (987 download)
Download or read book Axiomatic Consensus Theory in Group Choice and Biomathematics written by William H. E. Day and published by SIAM. This book was released on 2003-01-01 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unique comprehensive review of axiomatic consensus theory in biomathematics as it has developed over the past 30 years.
Author : Amro M. Farid
Publisher : Springer
ISBN 13 : 3319323881
Total Pages : 332 pages
Book Rating : 4.3/5 (193 download)
Download or read book Axiomatic Design in Large Systems written by Amro M. Farid and published by Springer. This book was released on 2016-06-16 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a synthesis of recent developments in Axiomatic Design theory and its application in large complex systems. Introductory chapters provide concise tutorial materials for graduate students and new practitioners, presenting the fundamentals of Axiomatic Design and relating its key concepts to those of model-based systems engineering. A mathematical exposition of design axioms is also provided. The main body of the book, which represents a concentrated treatment of several applications, is divided into three parts covering work on: complex products; buildings; and manufacturing systems. The book shows how design work in these areas can benefit from the scientific and systematic underpinning provided by Axiomatic Design, and in so doing effectively combines the state of the art in design research with practice. All contributions were written by an international group of leading proponents of Axiomatic Design. The book concludes with a call to action motivating further research into the engineering design of large complex systems.
