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Author: Nancy Reynolds
Publisher:
ISBN: 9780300259322
Category :
Languages : en
Pages : 928
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Book Description
Author: Nancy Reynolds
Publisher:
ISBN: 9780300259322
Category :
Languages : en
Pages : 928
Get Book Here
Book Description
Author: I︠U︡riĭ Alekseevich Shashkin
Publisher: American Mathematical Soc.
ISBN: 082189000X
Category : Mathematics
Languages : en
Pages : 87
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Book Description
Presents an exposition of fixed point theory. This work focuses on the problem of whether a closed interval, square, disk, or sphere has the fixed point property. It aims to show how fixed point theory uses combinatorial ideas related to decomposition of figures into distinct parts called faces, which adjoin each other in a regular fashion.
Author: Pierre E. Conner
Publisher:
ISBN:
Category : Homeomorphisms
Languages : en
Pages : 30
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Book Description
Author: Andrew McLennan
Publisher: Springer
ISBN: 9811307105
Category : Business & Economics
Languages : en
Pages : 441
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Book Description
This book develops the central aspect of fixed point theory – the topological fixed point index – to maximal generality, emphasizing correspondences and other aspects of the theory that are of special interest to economics. Numerous topological consequences are presented, along with important implications for dynamical systems. The book assumes the reader has no mathematical knowledge beyond that which is familiar to all theoretical economists. In addition to making the material available to a broad audience, avoiding algebraic topology results in more geometric and intuitive proofs. Graduate students and researchers in economics, and related fields in mathematics and computer science, will benefit from this book, both as a useful reference and as a well-written rigorous exposition of foundational mathematics. Numerous problems sketch key results from a wide variety of topics in theoretical economics, making the book an outstanding text for advanced graduate courses in economics and related disciplines.
Author: Andrzej Granas
Publisher: Springer Science & Business Media
ISBN: 038721593X
Category : Mathematics
Languages : en
Pages : 706
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Book Description
The theory of Fixed Points is one of the most powerful tools of modern mathematics. This book contains a clear, detailed and well-organized presentation of the major results, together with an entertaining set of historical notes and an extensive bibliography describing further developments and applications. From the reviews: "I recommend this excellent volume on fixed point theory to anyone interested in this core subject of nonlinear analysis." --MATHEMATICAL REVIEWS
Author: Kim C. Border
Publisher: Cambridge University Press
ISBN: 9780521388085
Category : Business & Economics
Languages : en
Pages : 144
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Book Description
This book explores fixed point theorems and its uses in economics, co-operative and noncooperative games.
Author: Kazimierz Goebel
Publisher: Cambridge University Press
ISBN: 9780521382892
Category : Mathematics
Languages : en
Pages : 258
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Book Description
Metric Fixed Point Theory has proved a flourishing area of research for many mathematicians. This book aims to offer the mathematical community an accessible, self-contained account which can be used as an introduction to the subject and its development. It will be understandable to a wide audience, including non-specialists, and provide a source of examples, references and new approaches for those currently working in the subject.
Author: Krzysztof A. Sikorski
Publisher: Oxford University Press
ISBN: 0198026676
Category : Computers
Languages : en
Pages : 253
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Book Description
Optimal Solution of Nonlinear Equations is a text/monograph designed to provide an overview of optimal computational methods for the solution of nonlinear equations, fixed points of contractive and noncontractive mapping, and for the computation of the topological degree. It is of interest to any reader working in the area of Information-Based Complexity. The worst-case settings are analyzed here. Several classes of functions are studied with special emphasis on tight complexity bounds and methods which are close to or achieve these bounds. Each chapter ends with exercises, including companies and open-ended research based exercises.
Author: Ken Urai
Publisher: World Scientific
ISBN: 9814469181
Category : Mathematics
Languages : en
Pages : 311
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Book Description
This book presents a systematic approach to problems in economic equilibrium based on fixed-point arguments and rigorous set-theoretical (axiomatic) methods. It describes the highest-level research on the classical theme, fixed points and economic equilibria, in the theory of mathematical economics, and also presents basic results in this area, especially in the general equilibrium theory and non-co-operative game theory. The arguments also contain distinguishable developments of the main theme in the homology theory for general topological spaces, in the model theory and mathematical logic, and in the methodology and philosophy of social sciences. It can thus serve as a graduate-level textbook on mathematical economics as well as an advanced monograph for students and researchers who are concerned about rigorous mathematical treatment in the social sciences.
Author: Zeraoulia Elhadj
Publisher: CRC Press
ISBN: 0429647425
Category : Mathematics
Languages : en
Pages : 189
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Book Description
Chaos is the idea that a system will produce very different long-term behaviors when the initial conditions are perturbed only slightly. Chaos is used for novel, time- or energy-critical interdisciplinary applications. Examples include high-performance circuits and devices, liquid mixing, chemical reactions, biological systems, crisis management, secure information processing, and critical decision-making in politics, economics, as well as military applications, etc. This book presents the latest investigations in the theory of chaotic systems and their dynamics. The book covers some theoretical aspects of the subject arising in the study of both discrete and continuous-time chaotic dynamical systems. This book presents the state-of-the-art of the more advanced studies of chaotic dynamical systems.
