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Handbook of the History of General Topology

By Charles E. Aull, R. Lowen
Encyclopedia of General Topology

by K.P. Hart (Author), Jun-iti Nagata (Author), J.E. Vaughan
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Editorial Reviews

Review
"The book will be very useful for the mathematical community..."
Ljubisa Kocinac (Aleksandrovac), in: (Mathematical Reviews, 2005)

Product Description
This book is designed for the reader who wants to get a general view of the terminology of General Topology with minimal time and effort. The reader, whom we assume to have only a rudimentary knowledge of set theory, algebra and analysis, will be able to find what they want if they will properly use the index. However, this book contains very few proofs and the reader who wants to study more systematically will find sufficiently many references in the book.



Key features:


• More terms from General Topology than any other book ever published

• Short and informative articles

• Authors include the majority of top researchers in the field

• Extensive indexing of terms

Product Details

Hardcover: 536 pages
Publisher: Elsevier Science
(August 2, 2004)
Language: English
ISBN-10: 0444503552
ISBN-13: 978-0444503558
Product Dimensions: 11.3 x 8.6 x 1 inches
Shipping Weight: 3.6 pounds

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(inlove) كتب عن البرمجة الديناميكية باللغة الانجليزية (Dynamic programming) .

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Dynamic Programming
Posted By: mox1x2 | Date: 28 Oct 2007 16:32 | Comments: 2


Richard Bellman, "Dynamic Programming"
Pages: 365 | Publisher: Princeton 1957 | ISBN:069107951X | English | Djvu | 3.3 MB

An introduction to the mathematical theory of multistage decision processes, this text takes a "functional equation" approach to the discovery of optimum policies. The text examines existence and uniqueness theorems, the optimal inventory equation, bottleneck problems in multistage production processes, a new formalism in the calculus of variation, multistage games, and more. 1957 edition. Includes 37 figures


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Dynamic Programming (Studies in Computational Intelligence)

by Art Lew (Author), Holger Mauch

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Editorial Reviews

Product Description

This book provides a practical introduction to computationally solving discrete optimization problems using dynamic programming. From the unusually numerous and varied examples presented, readers should more easily be able to formulate dynamic programming solutions to their own problems of interest.
We also provide and describe the design, implementation, and use of a software tool, named DP2PN2Solver, that has been used to numerically solve all of the problems presented earlier in the book. This computational tool can be used by students to solve academic problems if this book is used in coursework, and by practitioners to solve many real-world problems if the state space is not too large.
Finally, this book is also a research monograph that describes a novel application of Petri net theory. DP2PN2Solver takes user input in the form of the DP functional equation for a problem, automatically constructs a Petri net model, called a Bellman net, as an internal computer representation for the DP problem, and then generates from the Bellman net the numerical solution for the DP problem. This solution can be obtained using Java, a spreadsheet, a Petri net tool, and other systems.

Product Details

Hardcover: 397 pages
Publisher: Springer; 1 edition
(November 28, 2006)
Language: English
ISBN-10: 3540370137
ISBN-13: 978-3540370130
Product Dimensions: 9.4 x 6.3 x 1.1 inches
Shipping Weight: 1.4 pounds


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Dynamic Programming and Optimal Control
by Dimitri P. Bertsekas


Editorial Reviews
From
"... this book is an excellent source of reference..." --This text refers to an out of print or unavailable edition of this title.

D. Smith, Operational Research Society
"Here is a tour-de-force in its field." --This text refers to an out of print or unavailable edition of this title.

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Product Details

Hardcover: 2 pages
Publisher: Athena Scientific
(January 1995)
Language: English
ISBN-10: 1886529124
ISBN-13: 978-1886529120

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Neuro-Dynamic Programming
by Dimitri P. Bertsekas (Author), John N. Tsitsiklis
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Editorial Reviews
George Cybenko for IEEE Computational Science and Engineering, May 1998:
Neurodynamic Programming is a remarkable monograph that integrates a sweeping mathematical and computational landscape into a coherent body of rigorous knowledge. The topics are current, the writing is clear and to the point, the examples are comprehensive and the historical notes and comments are scholarly."
"In this monograph, Bertsekas and Tsitsiklis have performed a Herculean task that will be studied and appreciated by generations to come. I strongly recommend it to scientists and engineers eager to seriously understand the mathematics and computations behind modern behavioral machine learning.

Book Description
This is the first textbook that fully explains the neuro-dynamic programming/reinforcement learning methodology, which is a recent breakthrough in the practical application of neural networks and dynamic programming to complex problems of planning, optimal decision making, and intelligent control.
Neuro-dynamic programming uses neural network approximations to overcome the "curse of dimensionality" and the "curse of modeling" that have been the bottlenecks to the practical application of dynamic programming and stochastic control to complex problems. The methodology allows systems to learn about their behavior through simulation, and to improve their performance through iterative reinforcement.
This book provides the first systematic presentation of the science and the art behind this exciting and far-reaching methodology. The book develops a comprehensive analysis of neuro-dynamic programming algorithms, and guides the reader to their successful application through case studies from complex problem areas.

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Product Details

Hardcover: 491 pages
Publisher: Athena Scientific; 1 edition (May 1996)
Language: English
ISBN-10: 1886529108
ISBN-13: 978-1886529106
Product Dimensions: 9.2 x 6.1 x 1.1 inches
Shipping Weight: 1.8 pounds

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Pyramid Algorithms: A Dynamic Programming Approach to Curves and Surfaces for Geometric Modeling
(The Morgan Kaufmann Series in Computer Graphics)
by Ron Goldman
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Editorial Reviews
Review
"Ron Goldman is a leading expert who knows the fundamental concepts and their interconnectedness, as well as the small details. The elegance of the writing and of the methods used to present the material allows us to get a deep understanding of the central concepts of CAGD. In its simplicity and pure beauty, the theory indeed resembles the pyramids."
Helmut Pottman, Vienna University of Technology

"A textbook approach to understanding, analyzing and computing common polynomial and spline curves, and surfaces schemes in computer-aided geometric modeling and design. Goldman employs a dynamic programming method based on recursive pyramids for revealing the structure and relationship of algorithms." - Design Issues

Review
"Ron Goldman is a leading expert who knows the fundamental concepts and their interconnectedness, as well as the small details. The elegance of the writing and of the methods used to present the material allows us to get a deep understanding of the central concepts of CAGD. In its simplicity and pure beauty, the theory indeed resembles the pyramids."
—Helmut Pottman, Vienna University of Technology

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Product Details

Hardcover: 576 pages
Publisher: Morgan Kaufmann; 1st edition
(July 15, 2002)
Language: English
ISBN-10: 1558603549
ISBN-13: 978-1558603547
Product Dimensions: 9.4 x 7.3 x 1.2 inches
Shipping Weight: 2.6 pounds

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Iterative Dynamic Programming
(Chapman and Hall /Crc Monographs and Surveys in Pure and Applied Mathematics)
by Rein Luus
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Editorial Reviews
Review
This book provides a working knowledge of IDP with many worked out solutions for a wide range of problems. This is especially useful for graduate students and industrial practitioners because a strong background in mathematical techniques and chemical engineering is not essential for understanding this book. This book can be used in a university as a textbook at the level of seniors or first-year graduate students. Of course, this book is also suitable for academic researchers who need an alternative way to cross-validate their solutions to OCPs with their newly devised methods... It can be concluded that this text is a very good addition to the toolbox for numerical optimal control. It is expected that all engineers, graduate students, researchers who are involved in solving optimal control problems should know IDP - the new powerful OCP solution scheme.
-International Journal of Robust and Nonlinear Control, vol. 11, no. 14, December 15, 2001

Review
This book provides a working knowledge of IDP with many worked out solutions for a wide range of problems. This is especially useful for graduate students and industrial practitioners because a strong background in mathematical techniques and chemical engineering is not essential for understanding this book. This book can be used in a university as a textbook at the level of seniors or first-year graduate students. Of course, this book is also suitable for academic researchers who need an alternative way to cross-validate their solutions to OCPs with their newly devised methods... It can be concluded that this text is a very good addition to the toolbox for numerical optimal control. It is expected that all engineers, graduate students, researchers who are involved in solving optimal control problems should know IDP - the new powerful OCP solution scheme.
-International Journal of Robust and Nonlinear Control, vol. 11, no. 14, December 15, 2001

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Product Details

Hardcover: 344 pages
Publisher: Chapman & Hall/CRC; 1 edition
(January 27, 2000)
Language: English
ISBN-10: 1584881488
ISBN-13: 978-1584881483
Product Dimensions: 9.5 x 6.4 x 0.9 inches
Shipping Weight: 1.6 pounds


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George J. Klir/Bo Yuan, "Fuzzy Sets and Fuzzy Logic: Theory and Applications"
Publisher: Prentice Hall PTR | ISBN: 0131011715 | 592 Pages | PDF | 2 formats 80 Mb | 12 MB


“Reflecting the tremendous advances that have taken place in the study of fuzzy set theory and fuzzy logic from 1988 to the present, this book not only details the theoretical advances in these areas, but considers a broad variety of applications of fuzzy sets and fuzzy logic as well. Theoretical aspects of fuzzy set theory and fuzzy logic are covered in Part I of the text, including: basic types of fuzzy sets; connections between fuzzy sets and crisp sets; the various aggregation operations of fuzzy sets; fuzzy numbers and arithmetic operations on fuzzy numbers; fuzzy relations and the study of fuzzy relation equations. Part II is devoted to applications of fuzzy set theory and fuzzy logic, including: various methods for constructing membership functions of fuzzy sets; the use of fuzzy logic for approximate reasoning in expert systems; fuzzy systems and controllers; fuzzy databases; fuzzy decision making; and engineering applications. For everyone interested in an introduction to fuzzy set theory and fuzzy logic.”


Book Info :

“Provides the reader with comprehensive coverage of theoretical foundations of fuzzy set theory and fuzzy logic, as well as a broad overview of the increasingly important applications of these novel areas of mathematics. DLC: Fuzzy sets.”


Table of Contents :

“Foreword
Preface
1 From Classical (Crisp) Sets to Fuzzy Sets: A Grand Paradigm Shift 1
2 Fuzzy Sets Versus Crisp Sets 35
3 Operations on Fuzzy Sets 50
4 Fuzzy Arithmetic 97
5 Fuzzy Relations 119
6 Fuzzy Relation Equations 153
7 Possibility Theory 177
8 Fuzzy Logic 212
9 Uncertainty-Based Information 245
10 Constructing Fuzzy Sets and Operations on Fuzzy Sets 280
11 Approximate Reasoning 302
12 Fuzzy Systems 327
13 Pattern Recognition 357
14 Fuzzy Databases and Information Retrieval Systems 379
15 Fuzzy Decision Making 390
16 Engineering Applications 418
17 Miscellaneous Applications 443
Appendix A. Neural Networks: An Overview 467
Appendix B. Genetic Algorithms: An Overview 476
Appendix C. Rough Sets Versus Fuzzy Sets 481
Appendix D. Proofs of Some Mathematical Theorems 484
Appendix E. Glossary of Key Concepts 487
Appendix F. Glossary of Symbols 490
Bibliography 494
Bibliographical Index 548
Name Index 552
Subject Index 563”


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Algorithms for Fuzzy Clustering: Methods in c-Means Clustering with Applications
Springer| ISBN: 3540787364 | 2008-05-01 | PDF | 248 pages | 6.6 MB

The main subject of this book is the fuzzy c-means proposed by Dunn and Bezdek and their variations including recent studies. A main reason why we concentrate on fuzzy c-means is that most methodology and application studies in fuzzy clustering use fuzzy c-means, and hence fuzzy c-means should be considered to be a major technique of clustering in general, regardless whether one is interested in fuzzy methods or not. Unlike most studies in fuzzy c-means, what we emphasize in this book is a family of algorithms using entropy or entropy-regularized methods which are less known, but we consider the entropy-based method to be another useful method of fuzzy c-means. Throughout this book one of our intentions is to uncover theoretical and methodological differences between the Dunn and Bezdek traditional method and the entropy-based method. We do note claim that the entropy-based method is better than the traditional method, but we believe that the methods of fuzzy c-means become complete by adding the entropy-based method to the method by Dunn and Bezdek, since we can observe natures of the both methods more deeply by contrasting these two



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Guanrong Chen, Trung Tat Pham, "Introduction to Fuzzy Sets, Fuzzy Logic, and Fuzzy Control Systems"
CRC | ISBN: 0849316588 | 1 edition | PDF | 328 pages | 2.6 MB

In the early 1970s, fuzzy systems and fuzzy control theories added a new dimension to control systems engineering. From its beginnings as mostly heuristic and somewhat ad hoc, more recent and rigorous approaches to fuzzy control theory have helped make it an integral part of modern control theory and produced many exciting results. Yesterday's "art" of building a working fuzzy controller has turned into today's "science" of systematic design. To keep pace with and further advance the rapidly developing field of applied control technologies, engineers, both present and future, need some systematic training in the analytic theory and rigorous design of fuzzy control systems. Introduction to Fuzzy Sets, Fuzzy Logic, and Fuzzy Control Systems provides that training by introducing a rigorous and complete fundamental theory of fuzzy sets and fuzzy logic, and then building a practical theory for automatic control of uncertain and ill-modeled systems encountered in many engineering applications. The authors proceed through basic fuzzy mathematics and fuzzy systems theory and conclude with an exploration of some industrial application examples. Almost entirely self-contained, Introduction to Fuzzy Sets, Fuzzy Logic, and Fuzzy Control Systems establishes a strong foundation for designing and analyzing fuzzy control systems under uncertain and irregular conditions. Mastering its contents gives students a clear understanding of fuzzy control systems theory that prepares them for deeper and broader studies and for many practical challenges faced in modern industry.

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Introduction to Fuzzy Logic using MATLAB
Springer; 1 edition | ISBN: 3540357807 | 430 pages | November 16, 2006 | PDF | 27 Mb

Fuzzy Logic, at present is a hot topic, among academicians as well various programmers. This book is provided to give a broad, in-depth overview of the field of Fuzzy Logic. The basic principles of Fuzzy Logic are discussed in detail with various solved examples. The different approaches and solutions to the problems given in the book are well balanced and pertinent to the Fuzzy Logic research projects. The applications of Fuzzy Logic are also dealt to make the readers understand the concept of Fuzzy Logic. The solutions to the problems are programmed using MATLAB 6.0 and the simulated results are given. The MATLAB Fuzzy Logic toolbox is provided for easy reference.

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James C. Bezdek / James Keller / Raghu Krisnapuram / Nikhil R. Pal,
«Fuzzy Models and Algorithms for Pattern Recognition and Image Processing (The Handbooks of Fuzzy Sets)»

Springer | ISBN: 0387245154 | 1 edition (March 25, 2005) | 776 pages | PDF | 40 Mb

Fuzzy Models and Algorithms for Pattern Recognition and Image Processing presents a comprehensive introduction of the use of fuzzy models in pattern recognition and selected topics in image processing and computer vision. Unique to this volume in the Kluwer Handbooks of Fuzzy Sets Series is the fact that this book was written in its entirety by its four authors. A single notation, presentation style, and purpose are used throughout. The result is an extensive unified treatment of many fuzzy models for pattern recognition. The main topics are clustering and classifier design, with extensive material on feature analysis relational clustering, image processing and computer vision. Also included are numerous figures, images and numerical examples that illustrate the use of various models involving applications in medicine, character and word recognition, remote sensing, military image analysis, and industrial engineering.

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Fuzzy Theory Systems: Techniques and Applications, Four Volume Set
Academic Press | 1999-10-15 | ISBN: 0124438709 | 1777 pages | PDF | 85 Mb

Applications of fuzzy theory (often referred to as "fuzzy logic") are maturing and multiplying at a phenomenal rate, and a comprehensive treatment of these real-world techniques and applications is now very timely. Unlike traditional computer logic involving clear true or false decisions, a fuzzy logic system chooses what is most true after "considering" several contributing and possibly conflicting variables. Examples of practical devices using fuzzy computer decision-making are thermostats that respond to a combination of temperature and humidity (comfort factors), an elevator that considers how crowded a car is rather than just its proximity to the desired floor, and a camera that integrates the variables affecting picture quality. These volumes will present a logical progression from implementation and modeling techniques to industrial/commercial applications to fuzzy neural and adaptive fuzzy systems.


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Fuzzy Control Systems explores one of the most active areas of research involving fuzzy set theory. The contributors address basic issues concerning the analysis, design, and application of fuzzy control systems. Divided into three parts, the book first devotes itself to the general theory of fuzzy control systems. The second part deals with a variety of methodologies and algorithms used in the analysis and design of fuzzy controllers. The various paradigms include fuzzy reasoning models, fuzzy .


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John N. Mordeson, Premchand S. Nair “Fuzzy Graphs and Fuzzy Hypergraphs"
Physica-Verlag Heidelberg | 2000-06-12 | ISBN: 3790812862 | 248 pages | PDF | 8,1 Mb


The authors present an up-to-date account of results from fuzzy graph theory and fuzzy hypergraph theory and give applications of the results. The book should be of interest to research mathematicians and to engineers and computer scientists interested in applications. Some specific application areas presented from fuzzy graph theory are cluster analysis, pattern classfication, database theory, and the problem concerning group structure. Applications of fuzzy hypergraph theory to portfolio management, managerial decision making with an example to waste management, and to neural cell-assemblies are given. It is shown how (fuzzy) hypergraphs and rough sets are related in such a way that ideas may be carried back and forth between the two areas.


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