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21 Ruymgaart, P.A Mathematics of Kalman-Bucy Filtering I04700 1985 eBook  
22 Schroeder, Manfred R Number Theory in Science and Communication I04536 1986 eBook  
23 Zwicker, Eberhard Psychoacoustics I03974 1999 eBook  
24 Kittler, J Pattern Recognition Theory and Applications I02853 1982 eBook  
25 Schroeder, Manfred Number Theory in Science and Communication I02775 1997 eBook  
26 Ingarden, Roman S Information Dynamics and Open Systems I02598 1997 eBook  
27 Grassberger, P From Statistical Physics to Statistical Inference and Back I02364 1994 eBook  
28 Ruymgaart, Peter A Mathematics of Kalman-Bucy Filtering I01720 1988 eBook  
29 Schroeder, Manfred R Number Theory in Science and Communication I01692 1984 eBook  
30 Jumarie, Guy Relative Information I01252 1990 eBook  
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21.    
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TitleMathematics of Kalman-Bucy Filtering
Author(s)Ruymgaart, P.A;Soong, Tsu T
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1985.
Descriptiononline resource
Abstract NoteSince their introduction in the mid 1950s, the filtering techniques developed by Kalman, and by Kalman and Bucy have been widely known and widely used in all areas of applied sciences. Starting with applications in aerospace engineering, their impact has been felt not only in all areas of engineering but also in the social sciences, biological sciences, medical sciences, as well as all other physical sciences. Despite all the good that has come out of this devel?? opment, however, there have been misuses because the theory has been used mainly as a tool or a procedure by many applied workers without them fully understanding its underlying mathematical workings. This book addresses a mathematical approach to Kalman-Bucy filtering and is an outgrowth of lectures given at our institutions since 1971 in a sequence of courses devoted to Kalman-Bucy filters. The material is meant to be a theoretical complement to courses dealing with applications and is designed for students who are well versed in the techniques of Kalman-Bucy filtering but who are also interested in the mathematics on which these may be based. The main topic addressed in this book is continuous-time Kalman-Bucy filtering. Although the discrete-time Kalman filter results were obtained first, the continuous-time results are important when dealing with systems developing in time continuously, which are hence more appropriately mod?? eled by differential equations than by difference equations. On the other hand, observations from the former can be obtained in a discrete fashion
ISBN,Price9783642968426
Keyword(s)1. Coding and Information Theory 2. CODING THEORY 3. EBOOK 4. EBOOK - SPRINGER 5. INFORMATION THEORY 6. PROBABILITIES 7. Probability Theory and Stochastic Processes 8. Statistics, general 9. Statistics??
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22.     
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TitleNumber Theory in Science and Communication : With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity
Author(s)Schroeder, Manfred R
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1986.
DescriptionXIX, 374 p : online resource
Abstract Note"Beauty is the first test: there is no permanent place in the world for ugly mathematics. " - G. H. Hardy Number theory has been considered since time immemorial to be the very paradigm of pure (some would say useless) mathematics. In fact, the Chinese characters for mathematics are Number Science. "Mathematics is the queen of sciences - and number theory is the queen of mathematics," according to Carl Friedrich Gauss, the lifelong Wunderkind, who himself enjoyed the epithet "Princeps Mathematicorum. " What could be more beautiful than a deep, satisfying relation between whole numbers. (One is almost tempted to call them wholesome numbers') In fact, it is hard to come up with a more appropriate designation than their learned name: the integers - meaning the "untouched ones". How high they rank, in the realms of pure thought and aesthetics, above their lesser brethren: the real and complex number- whose first names virtually exude unsavory involvement with the complex realities of everyday life! Yet, as we shall see in this book, the theory of integers can provide totally unexpected answers to real-world problems. In fact, discrete mathematics is taking on an ever more important role. If nothing else, the advent of the digital computer and digital communication has seen to that. But even earlier, in physics the emergence of quantum mechanics and discrete elementary particles put a premium on the methods and, indeed, the spirit of discrete mathematics
ISBN,Price9783662222461
Keyword(s)1. Coding and Information Theory 2. CODING THEORY 3. EBOOK 4. EBOOK - SPRINGER 5. INFORMATION THEORY 6. Mathematical Methods in Physics 7. NUMBER THEORY 8. Numerical and Computational Physics, Simulation 9. PHYSICS 10. PROBABILITIES 11. Probability Theory and Stochastic Processes
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23.     
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TitlePsychoacoustics : Facts and Models
Author(s)Zwicker, Eberhard;Fastl, Hugo
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1999.
DescriptionXII, 417 p : online resource
Abstract NotePsychoacoustics - Facts and Models represents a comprehensive collection of data describing the processing of sound by the human hearing system. It includes quantitative relations between sound stimuli and auditory perception in terms of hearing sensations. In addition, quantitative psychoacoustic models of hearing sensations are given. The monograph contains a unique collection of data on the human hearing system as a receiver of acoustic information as well as many examples of the practical application of the results of basic research in fields such as audiology, noise evaluation, and sound engineering. Many helpful hints for the solution of practical problems will be of particular benefit to engineers, and the book as a whole should serve as an important benchmark in the field of psychoacoustics. The treatment given in this second edition has been thoroughly updated with recent results
ISBN,Price9783662095621
Keyword(s)1. ACOUSTICS 2. Biological and Medical Physics, Biophysics 3. BIOLOGICAL PHYSICS 4. BIOPHYSICS 5. Coding and Information Theory 6. CODING THEORY 7. Communications Engineering, Networks 8. EBOOK 9. EBOOK - SPRINGER 10. ELECTRICAL ENGINEERING 11. INFORMATION THEORY
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24.     
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TitlePattern Recognition Theory and Applications : Proceedings of the NATO Advanced Study Institute held at St. Anne???s College, Oxford, March 29???April 10, 1981
Author(s)Kittler, J;Fu, V.W;Pau, L.F
PublicationDordrecht, Springer Netherlands, 1982.
DescriptionX, 576 p : online resource
Abstract NoteThis book is the outcome of the successful NATO Advanced Study Institute on Pattern Recognition Theory and Applications, held at St. Anne's College, Oxford, in April 1981., The aim of the meeting was to review the recent advances in the theory of pattern recognition and to assess its current and future practical potential. The theme of the Institute - the decision making aspects of pattern recognition with the emphasis on the novel hybrid approaches - and its scope - a high level tutorial coverage of pattern recognition methodologies counterpointed with contrib?? uted papers on advanced theoretical topics and applications - are faithfully reflected by the volume. The material is divided into five sections: 1. Methodology 2. Image Understanding and Interpretation 3. Medical Applications 4. Speech Processing and Other Applications 5. Panel Discussions. The first section covers a broad spectrum of pattern recognition methodologies, including geometric, statistical, fuzzy set, syntactic, graph-theoretic and hybrid approaches. Its cove,r?? age of hybrid methods places the volume in a unique position among existing books on pattern recognition. The second section provides an extensive treatment of the topical problem of image understanding from both the artificial intelligence and pattern recognition points of view. The two application sections demonstrate the usefulness of the novel methodologies in traditional pattern 'recognition application areas. They address the problems of hardware/software implementation and of algorithm robustness, flexibility and general reliability. The final section reports on a panel discussion held during the Institute
ISBN,Price9789400977723
Keyword(s)1. ARTIFICIAL INTELLIGENCE 2. Coding and Information Theory 3. CODING THEORY 4. Computer Imaging, Vision, Pattern Recognition and Graphics 5. EBOOK 6. EBOOK - SPRINGER 7. INFORMATION THEORY 8. OPTICAL DATA PROCESSING
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25.     
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TitleNumber Theory in Science and Communication : With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity
Author(s)Schroeder, Manfred
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1997.
DescriptionXXII, 364 p : online resource
Abstract NoteNumber Theory in Science and Communication is an introduction for non-mathematicians. The book stresses intuitive understanding rather than abstract theory and highlights important concepts such as continued fractions, the golden ratio, quadratic residues and Chinese remainders, trapdoor functions, pseudoprimes and primituve elements. Their applications to problems in the real world is one of the main themes of the book. This third edition is augmented by recent advances in primes in progressions, twin primes, prime triplets, prime quadruplets and quintruplets, factoring with elliptic curves, quantum factoring, Golomb rulers and "baroque" integers
ISBN,Price9783662034309
Keyword(s)1. Coding and Information Theory 2. CODING THEORY 3. EBOOK 4. EBOOK - SPRINGER 5. INFORMATION THEORY 6. Mathematical Methods in Physics 7. NUMBER THEORY 8. Numerical and Computational Physics, Simulation 9. PHYSICS 10. PROBABILITIES 11. Probability Theory and Stochastic Processes
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26.     
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TitleInformation Dynamics and Open Systems : Classical and Quantum Approach
Author(s)Ingarden, Roman S;Kossakowski, A;Ohya, M
PublicationDordrecht, Springer Netherlands, 1997.
DescriptionX, 310 p : online resource
Abstract NoteThis book has a long history of more than 20 years. The first attempt to write a monograph on information-theoretic approach to thermodynamics was done by one of the authors (RSI) in 1974 when he published, in the preprint form, two volumes of the book "Information Theory and Thermodynamics" concerning classical and quantum information theory, [153] (220 pp.), [154] (185 pp.). In spite of the encouraging remarks by some of the readers, the physical part of this book was never written except for the first chapter. Now this material is written completely anew and in much greater extent. A few years earlier, in 1970, second author of the present book, (AK), a doctoral student and collaborator of RSI in Toruli, published in Polish, also as a preprint, his habilitation dissertation "Information-theoretical decision scheme in quantum statistical mechanics" [196] (96 pp.). This small monograph presented his original results in the physical part of the theory developed in the Torun school. Unfortunately, this preprint was never published in English. The present book contains all these results in a much more modern and developed form
ISBN,Price9789401718820
Keyword(s)1. Coding and Information Theory 2. CODING THEORY 3. COMPLEX SYSTEMS 4. DYNAMICAL SYSTEMS 5. EBOOK 6. EBOOK - SPRINGER 7. Information and Communication, Circuits 8. INFORMATION THEORY 9. MATHEMATICAL PHYSICS 10. PHYSICAL CHEMISTRY 11. QUANTUM PHYSICS 12. STATISTICAL PHYSICS 13. Theoretical, Mathematical and Computational Physics
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27.     
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TitleFrom Statistical Physics to Statistical Inference and Back
Author(s)Grassberger, P;Nadal, J.P
PublicationDordrecht, Springer Netherlands, 1994.
DescriptionVIII, 355 p : online resource
Abstract NotePhysicists, when modelling physical systems with a large number of degrees of freedom, and statisticians, when performing data analysis, have developed their own concepts and methods for making the `best' inference. But are these methods equivalent, or not? What is the state of the art in making inferences? The physicists want answers. More: neural computation demands a clearer understanding of how neural systems make inferences; the theory of chaotic nonlinear systems as applied to time series analysis could profit from the experience already booked by the statisticians; and finally, there is a long-standing conjecture that some of the puzzles of quantum mechanics are due to our incomplete understanding of how we make inferences. Matter enough to stimulate the writing of such a book as the present one. But other considerations also arise, such as the maximum entropy method and Bayesian inference, information theory and the minimum description length. Finally, it is pointed out that an understanding of human inference may require input from psychologists. This lively debate, which is of acute current interest, is well summarized in the present work
ISBN,Price9789401110686
Keyword(s)1. ARTIFICIAL INTELLIGENCE 2. Coding and Information Theory 3. CODING THEORY 4. COMPLEX SYSTEMS 5. DYNAMICAL SYSTEMS 6. EBOOK 7. EBOOK - SPRINGER 8. INFORMATION THEORY 9. STATISTICAL PHYSICS 10. Statistical Physics and Dynamical Systems 11. THERMODYNAMICS
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28.     
No image available
TitleMathematics of Kalman-Bucy Filtering
Author(s)Ruymgaart, Peter A;Soong, Tsu T
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1988.
DescriptionXII, 170 p : online resource
Abstract NoteThe second edition has not deviated significantly from the first. The printing of this edition, however, has allowed us to make a number of corrections which escaped our scrutiny at the time of the first printing, and to generally improve and tighten our presentation of the material. Many of these changes were suggested to us by colleagues and readers and their kindness in doing so is greatly appreciated. Delft, The Netherlands and P. A. Ruymgaart Buffalo, New York, December, 1987 T. T. Soong Preface to the First Edition Since their introduction in the mid 1950s, the filtering techniques developed by Kalman, and by Kalman and Bucy have been widely known and widely used in all areas of applied sciences. Starting with applications in aerospace engineering, their impact has been felt not only in all areas of engineering but as all also in the social sciences, biological sciences, medical sciences, as well other physical sciences. Despite all the good that has come out of this devel?? opment, however, there have been misuses because the theory has been used mainly as a tool or a procedure by many applied workers without fully understanding its underlying mathematical workings. This book addresses a mathematical approach to Kalman-Bucy filtering and is an outgrowth of lectures given at our institutions since 1971 in a sequence of courses devoted to Kalman-Bucy filters
ISBN,Price9783642733413
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. Coding and Information Theory 4. CODING THEORY 5. EBOOK 6. EBOOK - SPRINGER 7. INFORMATION THEORY 8. MATHEMATICAL ANALYSIS 9. PROBABILITIES 10. Probability Theory and Stochastic Processes 11. Statistics, general 12. Statistics??
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29.     
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TitleNumber Theory in Science and Communication : With Applications in Cryptography, Physics, Biology, Digital Information, and Computing
Author(s)Schroeder, Manfred R
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1984.
DescriptionXVI, 326 p : online resource
Abstract Note"Beauty is the first test: there is no permanent place in the world for ugly mathematics. " - G. H. Hardy N umber theory has been considered since time immemorial to be the very paradigm of pure (some would say useless) mathematics. In fact, the Chinese characters for mathematics are Number Science. "Mathematics is the queen of sciences - and number theory is the queen of mathematics," according to Carl Friedrich Gauss, the lifelong Wunderkind, who hirnself enjoyed the epithet "Princeps Mathematicorum. " What could be more beautiful than a deep, satisfying relation between whole numbers. {One is almost tempted to call them wholesome numbersJ In fact, it is hard to come up with a more appropriate designation than their learned name: the integers - meaning the "untouched ones". How high they rank, in the realms of pure thought and aesthetics, above their lesser brethren: the real and complex number- whose first names virtually exude unsavory involvement with the complex realities of everyday life! Yet, as we shall see in this book, the theory of integers can provide totally unexpected answers to real-world problems. In fact, discrete mathematics is ta king on an ever more important role. If nothing else, the advent of the digital computer and digital communication has seen to that. But even earlier, in physics the emergence of quantum mechanics and discrete elementary particles put a premium on the methods and, indeed, the spirit of discrete mathematics
ISBN,Price9783662023952
Keyword(s)1. Coding and Information Theory 2. CODING THEORY 3. EBOOK 4. EBOOK - SPRINGER 5. INFORMATION THEORY 6. NUMBER THEORY
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30.    
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TitleRelative Information : Theories and Applications
Author(s)Jumarie, Guy
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1990.
DescriptionXXII, 258 p : online resource
Abstract NoteFor four decades, information theory has been viewed almost exclusively as a theory based upon the Shannon measure of uncertainty and information, usually referred to as Shannon entropy. Since the publication of Shannon's seminal paper in 1948, the theory has grown extremely rapidly and has been applied with varied success in almost all areas of human endeavor. At this time, the Shannon information theory is a well established and developed body of knowledge. Among its most significant recent contributions have been the use of the complementary principles of minimum and maximum entropy in dealing with a variety of fundamental systems problems such as predic?? tive systems modelling, pattern recognition, image reconstruction, and the like. Since its inception in 1948, the Shannon theory has been viewed as a restricted information theory. It has often been argued that the theory is capable of dealing only with syntactic aspects of information, but not with its semantic and pragmatic aspects. This restriction was considered a v~rtue by some experts and a vice by others. More recently, however, various arguments have been made that the theory can be appropriately modified to account for semantic aspects of in?? formation as well. Some of the most convincing arguments in this regard are in?? cluded in Fred Dretske's Know/edge & Flow of Information (The M.LT. Press, Cambridge, Mass., 1981) and in this book by Guy lumarie
ISBN,Price9783642840173
Keyword(s)1. ACOUSTICS 2. Coding and Information Theory 3. CODING THEORY 4. COMPLEX SYSTEMS 5. DYNAMICAL SYSTEMS 6. EBOOK 7. EBOOK - SPRINGER 8. INFORMATION THEORY 9. STATISTICAL PHYSICS 10. Statistical Physics and Dynamical Systems
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