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Author: Klaus Weihrauch
Publisher: Springer Science & Business Media
ISBN: 9783540668176
Category : Computers
Languages : en
Pages : 312
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Book Description
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: Springer Science & Business Media
ISBN: 9783540668176
Category : Computers
Languages : en
Pages : 312
Get Book Here
Book Description
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: Springer Science & Business Media
ISBN: 3642569994
Category : Computers
Languages : en
Pages : 295
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Book Description
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: 3030592340
Category : Computers
Languages : en
Pages : 427
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Book Description
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: McGraw-Hill Companies
ISBN:
Category : Mathematics
Languages : en
Pages : 208
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Book Description
Author: John R. Madden
Publisher: Springer Nature
ISBN: 9811539707
Category : Business & Economics
Languages : en
Pages : 417
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Book Description
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.
Author: Boris Abramovich Kushner
Publisher: American Mathematical Soc.
ISBN: 9780821898109
Category : Mathematics
Languages : en
Pages : 356
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Book Description
The basis of this book was a special course given by the author at the Mechanics-Mathematics Faculty of Moscow University. The material presumes almost no previous knowledge and is completely understandable to a reader who is in command of a standard course of mathematical analysis. There are an extensive bibliography and indexes which will be helpful to students.
Author: Marian B. Pour-El
Publisher: Cambridge University Press
ISBN: 1107168449
Category : Mathematics
Languages : en
Pages : 219
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Book Description
The first graduate-level treatment of computable analysis within the tradition of classical mathematical reasoning.
Author: Lance Taylor
Publisher: MIT Press
ISBN: 9780262200752
Category : Business & Economics
Languages : en
Pages : 400
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Book Description
This collection of work reviews the results of using CGE models since the early 1970s, with an emphasis on models that encompass broad structural factors such as distribution of income and wealth, land tenancy relationships, foreign trade, production, markets, and control of the means of production that are fundamental to the behavior of developing economies. Economist Lance Taylor is an advocate of aggressive government management of developing economies. The models described in this book are are easy to set up and manipulate on microcomputers and should dominate the development debate. Taylor's detailed discussion of structuralist COE models is followed by contributions that take up their application in specific countries.This collection of work reviews the results of using CGE models since the early 1970s, with an emphasis on models that encompass broad structural factors such as distribution of income and wealth, land tenancy relationships, foreign trade, production, markets, and control of the means of production that are fundamental to the behavior of developing economies.Chapters explain the macro constraints on India's economic growth and describe Plan Austral and other heterodox shocks, describe the application of a structuralist model to Nicaragua, to Mexican food consumption policies, and to the food market in Colombia. They discuss a model with portfolio choice for Thailand, resource mobilization through administered prices, and conflicting claims and dynamic inflationary mechanisms in India, short-run energyeconomy interactions in Egypt, policy options for growth and the alleviation of poverty in Sri Lanka, currency devaluation in Mexico, and medium-term growth projections for Kuwait. The book concludes with a manual for a structuralist macro model program.
Author: Mary E. Burfisher
Publisher: Cambridge University Press
ISBN: 1107132207
Category : Business & Economics
Languages : en
Pages : 443
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Book Description
The book provides a hands-on introduction to computable general equilibrium (CGE) models, written at an accessible, undergraduate level.
Author: Jens Blanck
Publisher: Springer
ISBN: 3540453350
Category : Computers
Languages : en
Pages : 403
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Book Description
The workshop on Computability and Complexity in Analysis, CCA 2000, was hosted by the Department of Computer Science of the University of Wales Swansea, September 17{19, 2000. It was the fourth workshop in a successful series of workshops: CCA’95 in Hagen, Germany, CCA’96 in Trier, Germany, and CCA’98 in Brno, Czech Republic. About 40 participants from the countries United Kingdom, Germany, Japan, Italy, Russia, France, Denmark, Greece, and Ireland contributed to the success of this meeting. Altogether, 28 talkswere p- sented in Swansea. These proceedings include 23 papers which represent a cro- section through recent research on computability and complexity in analysis. The workshop succeeded in bringing together people interested in computability and complexity aspects of analysis and in exploring connections with nume- cal methods, physics and, of course, computer science. It was rounded o by a number of talks and papers on exact computer arithmetic and by a competition of v e implemented systems. A report on this competition has been included in these proceedings. We would like to thank the authors for their contributions and the referees for their careful work, and we hope for further inspiring and constructive meetings of the same kind. April 2001 Jens Blanck Vasco Brattka Peter Hertling Organization CCA2000was hosted by the Department of Computer Science of the University of Wales Swansea and took place on September 17{19, 2000.
