Practical Foundations Of Mathematics
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Practical Foundations Of Mathematics
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Author : Paul Taylor
language : en
Publisher: Cambridge University Press
Release Date : 1999-05-13
Practical Foundations Of Mathematics written by Paul Taylor and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-05-13 with Mathematics categories.
This book is about the basis of mathematical reasoning both in pure mathematics itself (particularly algebra and topology) and in computer science (how and what it means to prove correctness of programs). It contains original material and original developments of standard material, so it is also for professional researchers, but as it deliberately transcends disciplinary boundaries and challenges many established attitudes to the foundations of mathematics, the reader is expected to be open minded about these things.
Practical Foundations Of Business System Specifications
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Author : Haim Kilov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Practical Foundations Of Business System Specifications written by Haim Kilov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Computers categories.
"In the mathematics I can report no deficience, except that it be that men do not sufficiently understand the excellent use of the pure mathematics, in that they do remedy and cure many defects in the wit and faculties intellectual. For if the wit be too dull, they sharpen it; if too wandering, they fix it; if too inherent in the sense, they abstract it. " Roger Bacon (1214?-1294?) "Mathematics-the art and science of effective reasoning. " E. W. Dijkstra, 1976 "A person who had studied at a good mathematical school can do anything. " Ye. Bunimovich, 2000 This is the third book published by Kluwer based on the very successful OOPSLA workshops on behavioral semantics (the first two books were published in 1996 [KH 1996] and 1999 [KRS 1999]). These workshops fostered precise and explicit specifications of business and system semantics, independently of any (possible) realization. Some progress has been made in these areas, both in academia and in industry. At the same time, in too many cases only lip service to elegant specifica tions of semantics has been provided, and as a result the systems we build or buy are all too often not what they are supposed to be. We used to live with that, and quite often users relied on human intermediaries to "sort the things out. " This approach worked perfectly well for a long time.
Cultural Foundations Of Mathematics
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Author : C. K. Raju
language : en
Publisher: Pearson Education India
Release Date : 2007
Cultural Foundations Of Mathematics written by C. K. Raju and has been published by Pearson Education India this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Calculus categories.
The Volume Examines, In Depth, The Implications Of Indian History And Philosophy For Contemporary Mathematics And Science. The Conclusions Challenge Current Formal Mathematics And Its Basis In The Western Dogma That Deduction Is Infallible (Or That It Is Less Fallible Than Induction). The Development Of The Calculus In India, Over A Thousand Years, Is Exhaustively Documented In This Volume, Along With Novel Insights, And Is Related To The Key Sources Of Wealth-Monsoon-Dependent Agriculture And Navigation Required For Overseas Trade - And The Corresponding Requirement Of Timekeeping. Refecting The Usual Double Standard Of Evidence Used To Construct Eurocentric History, A Single, New Standard Of Evidence For Transmissions Is Proposed. Using This, It Is Pointed Out That Jesuits In Cochin, Following The Toledo Model Of Translation, Had Long-Term Opportunity To Transmit Indian Calculus Texts To Europe. The European Navigational Problem Of Determining Latitude, Longitude, And Loxodromes, And The 1582 Gregorian Calendar-Reform, Provided Ample Motivation. The Mathematics In These Earlier Indian Texts Suddenly Starts Appearing In European Works From The Mid-16Th Century Onwards, Providing Compelling Circumstantial Evidence. While The Calculus In India Had Valid Pramana, This Differed From Western Notions Of Proof, And The Indian (Algorismus) Notion Of Number Differed From The European (Abacus) Notion. Hence, Like Their Earlier Difficulties With The Algorismus, Europeans Had Difficulties In Understanding The Calculus, Which, Like Computer Technology, Enhanced The Ability To Calculate, Albeit In A Way Regarded As Epistemologically Insecure. Present-Day Difficulties In Learning Mathematics Are Related, Via Phylogeny Is Ontogeny , To These Historical Difficulties In Assimilating Imported Mathematics. An Appendix Takes Up Further Contemporary Implications Of The New Philosophy Of Mathematics For The Extension Of The Calculus, Which Is Needed To Handle The Infinities Arising In The Study Of Shock Waves And The Renormalization Problem Of Quantum Field Theory.
Logic Mathematics And Computer Science
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Author : Yves Nievergelt
language : en
Publisher:
Release Date : 2015
Logic Mathematics And Computer Science written by Yves Nievergelt and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with categories.
Practical Foundations For Programming Languages
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Author : Robert Harper
language : en
Publisher: Cambridge University Press
Release Date : 2016-04-04
Practical Foundations For Programming Languages written by Robert Harper and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-04 with Computers categories.
This book unifies a broad range of programming language concepts under the framework of type systems and structural operational semantics.
The Foundations Of Mathematics
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Author : Ian Stewart
language : en
Publisher: Oxford University Press, USA
Release Date : 1977
The Foundations Of Mathematics written by Ian Stewart and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Mathematics categories.
"There are many textbooks available for a so-called transition course from calculus to abstract mathematics. I have taught this course several times and always find it problematic. The Foundations of Mathematics (Stewart and Tall) is a horse of a different color. The writing is excellent and there is actually some useful mathematics. I definitely like this book."--The Bulletin of Mathematics Books
Practical Foundations For Programming Languages
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Author : Robert Harper
language : en
Publisher: Cambridge University Press
Release Date : 2013
Practical Foundations For Programming Languages written by Robert Harper and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Computers categories.
This book offers a fresh perspective on the fundamentals of programming languages through the use of type theory.
Foundation Mathematics
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Author : Michael O'Connor
language : en
Publisher:
Release Date : 2006
Foundation Mathematics written by Michael O'Connor and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
The new edition of Foundation Mathematics has been updated to meet the requirements of the revised Study Design, to be implemented from January 2006. Foundation Mathematics, Second Edition is written on a thematic basis, showing students the practical applications of mathematics and giving them the knowledge they will require in the workplace, with finances and with their own interests and hobbies. Each theme is supported by Skills Practice chapters that assist students in developing the skills and understanding they need to complete the Theme.
Foundations And Fundamental Concepts Of Mathematics
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Author : Howard Whitley Eves
language : en
Publisher: Courier Corporation
Release Date : 1997-01-01
Foundations And Fundamental Concepts Of Mathematics written by Howard Whitley Eves and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-01 with Mathematics categories.
This third edition of a popular, well-received text offers undergraduates an opportunity to obtain an overview of the historical roots and the evolution of several areas of mathematics. The selection of topics conveys not only their role in this historical development of mathematics but also their value as bases for understanding the changing nature of mathematics. Among the topics covered in this wide-ranging text are: mathematics before Euclid, Euclid's Elements, non-Euclidean geometry, algebraic structure, formal axiomatics, the real numbers system, sets, logic and philosophy and more. The emphasis on axiomatic procedures provides important background for studying and applying more advanced topics, while the inclusion of the historical roots of both algebra and geometry provides essential information for prospective teachers of school mathematics. The readable style and sets of challenging exercises from the popular earlier editions have been continued and extended in the present edition, making this a very welcome and useful version of a classic treatment of the foundations of mathematics. "A truly satisfying book." — Dr. Bruce E. Meserve, Professor Emeritus, University of Vermont.
Foundations Of Logic And Mathematics
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Author : Yves Nievergelt
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Foundations Of Logic And Mathematics written by Yves Nievergelt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This modern introduction to the foundations of logic and mathematics not only takes theory into account, but also treats in some detail applications that have a substantial impact on everyday life (loans and mortgages, bar codes, public-key cryptography). A first college-level introduction to logic, proofs, sets, number theory, and graph theory, and an excellent self-study reference and resource for instructors.