Computable Analysis

Author : Klaus Weihrauch
Publisher : Springer Science & Business Media
ISBN 13 : 9783540668176
Total Pages : 312 pages
Book Rating : 4.79/5 ( download)

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Download or read book Computable Analysis written by Klaus Weihrauch and published by Springer Science & Business Media. This book was released on 2000-09-14 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Merging fundamental concepts of analysis and recursion theory to a new exciting theory, this book provides a solid fundament for studying various aspects of computability and complexity in analysis. It is the result of an introductory course given for several years and is written in a style suitable for graduate-level and senior students in computer science and mathematics. Many examples illustrate the new concepts while numerous exercises of varying difficulty extend the material and stimulate readers to work actively on the text.

Author : Klaus Weihrauch
Publisher :
ISBN 13 : 9783642570001
Total Pages : 306 pages
Book Rating : 4.03/5 ( download)

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Download or read book Computable Analysis written by Klaus Weihrauch and published by . This book was released on 2014-01-15 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Klaus Weihrauch
Publisher : Springer Science & Business Media
ISBN 13 : 3642569994
Total Pages : 295 pages
Book Rating : 4.99/5 ( download)

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Download or read book Computable Analysis written by Klaus Weihrauch and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Merging fundamental concepts of analysis and recursion theory to a new exciting theory, this book provides a solid fundament for studying various aspects of computability and complexity in analysis. It is the result of an introductory course given for several years and is written in a style suitable for graduate-level and senior students in computer science and mathematics. Many examples illustrate the new concepts while numerous exercises of varying difficulty extend the material and stimulate readers to work actively on the text.

Author : Vasco Brattka
Publisher : Springer Nature
ISBN 13 : 3030592340
Total Pages : 427 pages
Book Rating : 4.49/5 ( download)

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Download or read book Handbook of Computability and Complexity in Analysis written by Vasco Brattka and published by Springer Nature. This book was released on 2021-06-04 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computable analysis is the modern theory of computability and complexity in analysis that arose out of Turing's seminal work in the 1930s. This was motivated by questions such as: which real numbers and real number functions are computable, and which mathematical tasks in analysis can be solved by algorithmic means? Nowadays this theory has many different facets that embrace topics from computability theory, algorithmic randomness, computational complexity, dynamical systems, fractals, and analog computers, up to logic, descriptive set theory, constructivism, and reverse mathematics. In recent decades computable analysis has invaded many branches of analysis, and researchers have studied computability and complexity questions arising from real and complex analysis, functional analysis, and the theory of differential equations, up to (geometric) measure theory and topology. This handbook represents the first coherent cross-section through most active research topics on the more theoretical side of the field. It contains 11 chapters grouped into parts on computability in analysis; complexity, dynamics, and randomness; and constructivity, logic, and descriptive complexity. All chapters are written by leading experts working at the cutting edge of the respective topic. Researchers and graduate students in the areas of theoretical computer science and mathematical logic will find systematic introductions into many branches of computable analysis, and a wealth of information and references that will help them to navigate the modern research literature in this field.

Author : Oliver Aberth
Publisher : Academic Press
ISBN 13 : 9780120417520
Total Pages : 212 pages
Book Rating : 4.29/5 ( download)

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Download or read book Computable Calculus written by Oliver Aberth and published by Academic Press. This book was released on 2001-06-04 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computable Calculus treats the fundamental topic of calculus in a novel way that is more in tune with today's computer age. Comprising 11 chapters and an accompanying CD-ROM, the book presents mathematical analysis that has been created to deal with constructively defined concepts. The book's "show your work" approach makes it easier to understand the pitfalls of various computations and, more importantly, how to avoid these pitfalls. The accompanying CD-ROM has self-contained programs that interact with the text, providing for easy grasp of the new concepts and enabling readers to write their own demonstration programs. Contains software on CD ROM: The accompanying software demonstrates, through simulation and exercises, how each concept of calculus can be associated with a program for the 'ideal computer' Using this software readers will be able to write their own demonstration programs

Author : Oliver Aberth
Publisher : McGraw-Hill Companies
ISBN 13 :
Total Pages : 208 pages
Book Rating : 4.49/5 ( download)

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Download or read book Computable Analysis written by Oliver Aberth and published by McGraw-Hill Companies. This book was released on 1980 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Marian B. Pour-El
Publisher : Cambridge University Press
ISBN 13 : 1107168449
Total Pages : 219 pages
Book Rating : 4.42/5 ( download)

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Download or read book Computability in Analysis and Physics written by Marian B. Pour-El and published by Cambridge University Press. This book was released on 2017-03-02 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first graduate-level treatment of computable analysis within the tradition of classical mathematical reasoning.

Author : Laura Crosilla
Publisher : Oxford University Press on Demand
ISBN 13 : 0198566514
Total Pages : 371 pages
Book Rating : 4.19/5 ( download)

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Download or read book From Sets and Types to Topology and Analysis written by Laura Crosilla and published by Oxford University Press on Demand. This book was released on 2005-10-06 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bridging the foundations and practice of constructive mathematics, this text focusses on the contrast between the theoretical developments - which have been most useful for computer science - and more specific efforts on constructive analysis, algebra and topology.

Author : Mary E. Burfisher
Publisher : Cambridge University Press
ISBN 13 : 1107132207
Total Pages : 443 pages
Book Rating : 4.07/5 ( download)

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Download or read book Introduction to Computable General Equilibrium Models written by Mary E. Burfisher and published by Cambridge University Press. This book was released on 2017-02 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a hands-on introduction to computable general equilibrium (CGE) models, written at an accessible, undergraduate level.

Author : John R. Madden
Publisher : Springer Nature
ISBN 13 : 9811539707
Total Pages : 417 pages
Book Rating : 4.01/5 ( download)

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Download or read book Environmental Economics and Computable General Equilibrium Analysis written by John R. Madden and published by Springer Nature. This book was released on 2020-07-11 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses major issues such as a growing world energy demand, environmental degradation due to anthropogenic greenhouse gas (GHG) emission, and risk management of disastrous events such as pandemics, abnormal climate, and earthquakes. Using cutting-edge analytical tools, particularly computable general equilibrium (CGE) modelling, the analyses are focused on a very wide range of policy-relevant economic questions for the Asia-Pacific region, especially for Japan, China, India, Vietnam, and smaller nations, including Brunei, Timor Leste, and Fiji. The first part considers (a) the effects of climate change on agriculture sectors, energy policies, and future GHG emission trends, (b) adaptation to climate changes in energy policy and its impacts on the economies, and (c) risk management of catastrophic events such as global pandemics. The second part examines (a) energy environmental issues, (b) economic impacts of natural disaster and depopulation, and (c) effects of informatics development on risk management, using CGE modelling and other methods in regional science fields. Contributors are internationally active leading CGE modellers and environmental economists. The book should be greatly beneficial for scholars and graduate students as well as policy makers who are interested in the economic effects and management of risks relating to climate change and disastrous events.