Cybernetics and systems theory Books

Book SynopsisControllability and Observability.- Realization and Model Reduction.- Feedback.- References.- Glossary.- Index.

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Book Synopsis1.Black Swans and Obsolete Paradigms. The impossibility of a working synthesis and the urgency of inhabiting indeterminacy.- 2. What about Social Bonds? The grand illusions of the hypertechnological civilization and the complex interaction of the Human with  technique and machines.- 3. Beyond Linearity: the Complexity of Complexity and an Epistemology of Error.- 4. Dilemmas and Paradoxes of the Hypercomplex Society.- 5. For a “New Social Contract”. The asymmetrical society and the strategic centrality of education and training.- 6. The Tyranny of Concreteness and the Urgency of a Radical Breakthrough.- 7. To Cross or to Inhabit the Frontiers of the Hypercomplex Society? Rethinking education and the general architecture of the fields of knowledge.- 8. Thought and Thinking in the Hypertechnological Civilization of Automation and Simulation: Artificial Intelligence as a “New Epistemological Fracture”.- 9. Rethinking the Human and Re-mediating the Social: because “Democracy is Complexity”.

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Book SynopsisIndustry 5.0. and its innovation dynamics: modelling and explaining its potential.-Velocity Inequalities in Digital Public Service Ecosystem: David against Goliath in the Agri Food Value Chain?.- Exploring the Role of Digital Literacy in Enhancing Entrepreneurial Success and Innovation within Ecosystems.- The Dark Side of the Metaverse: Managing Human Resource Management challenges in Virtual Environments.- Integrating Model Driven Development within Agile Methods: Insights from a Systematic Literature Review.- Implementing DEA with Gaussian AHP and Pearson Correction for Efficiency Benchmarking in a Food Retail Chain.- Systematic Literature Reviews (SLRs) in Business, Management and Economics: Trends, Gaps, and Methodological Rigor.- Why Artificial Intelligence Needs Sociology?.- The (Dis)Illusion of the Web3 Decentralization for Global Governance in the Age of GenAI.- Digital Human: the new frontier of Artificial Intelligence for Customer Experience.- Dynamic Capabilities in AI Powered Business Ecosystems: An Outline of an Emerging Research Agenda.- Acceptance of Generative AI in the Creative Industry: The Role of Brand Recognition, Trust, and Experience Moderation in AI Adoption.- Beyond imagination: Design Thinking, creativity and the power of AI.- Redesigning skills for the twin transition: a path toward sustainable innovation.- Building the Next Generation of Entrepreneurs: The Role of Group Projects and Experiential Education in Nurturing Entrepreneurial Mindset and Skills.- University Education and Entrepreneurial Intention: The Role of University Climate and Entrepreneurship Education.- The Contribution of Hungarian Universities to the UN Sustainable Development Goals: A Comparative Analysis of State run, Church affiliated, and Model Transition Institutions (2019 2023).- Redefining Architecture Pedagogy for GenAI Enhanced Classrooms: Impacts on Student Engagement and Learning Outcomes.- Reaching the Parts Others Cannot: Embedding Further Education in the UK Innovation Ecosystem for Inclusive Growth and Place Based Innovation.- Smart Transition in Historical Small Towns: First Insights from a Digital Material Flow Assessment in the Italian Case Study of Taurasi.- TOWARDS A FRAMEWORK FOR PROMOTING WALKABILITY IN TAHLIA STREET, JEDDAH CITY.- Towards Touristic Based Development for Al Tayseer Area in Makkah City.- Humanizing cities through urban design: urban design principles and policy making considerations.- Private Equity in U.S. Healthcare.- Digital Revolution in Pharmaceutical Industry: A  Network Analysis of Industry 5.0 Technologies.- Interpretable Machine Learning for Metastasis Prediction in Paragangliomas and Pheochromocytomas.- Enhancing Precision Medicine in Non Small Cell Lung Cancer Diagnosis through Artificial Intelligence.- Detection of gait alterations using mobile device sensors and machine learning.

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Book SynopsisThis textbook is designed for a one year course covering the fundamentals of partial differential equations, geared towards advanced undergraduates and beginning graduate students in mathematics, science, engineering, and elsewhere. The exposition carefully balances solution techniques, mathematical rigor, and significant applications, all illustrated by numerous examples. Extensive exercise sets appear at the end of almost every subsection, and include straightforward computational problems to develop and reinforce new techniques and results, details on theoretical developments and proofs, challenging projects both computational and conceptual, and supplementary material that motivates the student to delve further into the subject. No previous experience with the subject of partial differential equations or Fourier theory is assumed, the main prerequisites being undergraduate calculus, both one- and multi-variable, ordinary differential equations, and basic linear algebra. While the classical topics of separation of variables, Fourier analysis, boundary value problems, Green's functions, and special functions continue to form the core of an introductory course, the inclusion of nonlinear equations, shock wave dynamics, symmetry and similarity, the Maximum Principle, financial models, dispersion and solutions, Huygens' Principle, quantum mechanical systems, and more make this text well attuned to recent developments and trends in this active field of contemporary research. Numerical approximation schemes are an important component of any introductory course, and the text covers the two most basic approaches: finite differences and finite elements.Trade Review“This textbook furnishes the basis for a 1-year introductory course in partial differential equations for advanced undergraduates. … The book is written with great care and great attention to detail throughout. At the end of every chapter there are well-chosen exercises that genuinely add depth to the concepts treated in the text. … this book can be wholeheartedly recommended.” (M. Kunzinger, Monatshefte für Mathematik, Vol. 181, 2016)“This book easily covers all the material one might want in a course aimed at first-time students of PDEs. … I recommend this one highly: It provides the best first-course introduction to a vast and ever-more relevant and active area. Students, and perhaps instructors too, will learn much from it. If they wish to go beyond the material taught in a first course, this text will prepare them better than any other I know.” (SIAM Review, Vol. 56 (3), September, 2014)“Introduction to Partial Differential Equations is a complete, well-written textbook for upper-level undergraduates and graduate students. Olver … thoroughly covers the topic in a readable format and includes plenty of examples and exercises, ranging from the typical to independent projects and computer projects. … Instructors teaching an introduction to partial differential equations course will want to consider this textbook as a viable option for their students. Summing Up: Highly Recommended. Upper-division undergraduates, graduate students, and faculty.” (S. L. Sullivan, Choice, Vol. 51 (11), July, 2014)“This introduction to partial differential equations is addressed to advanced undergraduates or graduate students … . an imposing book that includes plenty of material for two semesters even at the graduate level. … The author succeeds at maintaining a good balance between solution methods, mathematical rigor, and applications. With appropriate selection of topics this could serve for a one semester introductory course for undergraduates or a full year course for graduate students. … the author has clearly taken pains to make it readable and accessible.” (William J. Satzer, MAA Reviews, January, 2014)Table of ContentsWhat are Partial Differential Equations?.- Linear and Nonlinear Waves.- Fourier Series.- Separation of Variables.- Finite Differences.- Generalized Functions and Green’s Functions.- Complex Analysis and Conformal Mapping.- Fourier Transforms.- Linear and Nonlinear Evolution Equations.- A General Framework for Linear Partial Differential Equations.- Finite Elements and Weak Solutions.- Dynamics of Planar Media.- Partial Differential Equations in Space​.

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Book SynopsisScientists have always attempted to explain the world in terms of a few unifying principles. In the fifth century B.C. Democritus boldly claimed that reality is simply a collection of indivisible and eternal parts or atoms. Over the centuries his doctrine has remained a landmark, and much progress in physics is due to its distinction between subjective perception and objective reality. This book discusses theory reduction in physics, which states that the whole is nothing more than the sum of its parts: the properties of things are directly determined by their constituent parts. Reductionism deals with the relation between different theories that address different levels of reality, and uses extrapolations to apply that relation in different sciences. Reality shows a complex structure of connections, and the dream of a unified interpretation of all phenomena in several simple laws continues to attract anyone with genuine philosophical and scientific interests. If the most radical reductionist point of view is correct, the relationship between disciplines is strictly inclusive: chemistry becomes physics, biology becomes chemistry, and so on. Eventually, only one science, indeed just a single theory, would survive, with all others merging in the Theory of Everything. Is the current coexistence of different sciences a mere historical venture which will end when the Theory of Everything has been established? Can there be a unified description of nature? Rather than an analysis of full reductionism, this book focuses on aspects of theory reduction in physics and stimulates reflection on related questions: is there any evidence of actual reduction? Are the examples used in the philosophy of science too simplistic? What has been endangered by the search for (the) ultimate truth? Has the dream of reductionist reason created any monsters? Is big science one such monster? What is the point of embedding science Y within science X, if predictions cannot be made on that basis?Table of ContentsPreface.- A Galilean Dialogue.- A random journey.- History.- Reductionism: the philosophical point of view.- Reduction in physics and philosophy.- Emergence.- A first attempt to tame complexity.- A short history of statistical mechanics.- Towards a systematic theory.- The paradigmatic Brownian motion.- Critical Phenomena.- Discussion.- From microscopic to macroscopic realities.- The problem of irreversibility.- Irreversibility and emergence.- From microscopic to macroscopic equations.- From atoms to cold fronts.- Concluding remarks.- Determinism, chaos and reductionism.- General remarks on determinism.- An excursus on chaos.- Chaos and complexity.- Chaos and probability.- Quarrels on chaos and determinism.- Concluding remarks.- Quantum Mechanics.- Classical versus quantum mechanics.- Chemistry vs applied Quantum Mechanics.- Summary and conclusions.- Some conclusions.- Unity of science beyond reductionism.- It from bit?.- Concluding remarks.

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Book SynopsisThis book covers the major problems of turbulence and turbulent processes, including physical phenomena, their modeling and their simulation.After a general introduction in Chapter 1 illustrating many aspects dealing with turbulent flows, averaged equations and kinetic energy budgets are provided in Chapter 2. The concept of turbulent viscosity as a closure of the Reynolds stress is also introduced. Wall-bounded flows are presented in Chapter 3 and aspects specific to boundary layers and channel or pipe flows are also pointed out. Free shear flows, namely free jets and wakes, are considered in Chapter 4. Chapter 5 deals with vortex dynamics. Homogeneous turbulence, isotropy and dynamics of isotropic turbulence are presented in Chapters 6 and 7. Turbulence is then described both in the physical space and in the wave number space. Time dependent numerical simulations are presented in Chapter 8, where an introduction to large eddy simulation is offered. The last three chapters of the book summarize remarkable digital techniques current and experimental. Many results are presented in a practical way, based on both experiments and numerical simulations.The book is written for a advanced engineering students as well as postgraduate engineers and researchers. For students, it contains the essential results as well as details and demonstrations whose oral transmission is often tedious. At a more advanced level, the text provides numerous references which allow readers to find quickly further study regarding their work and to acquire a deeper knowledge on topics of interest.Table of Contents Introduction to turbulence.- Statistical description of turbulent flows.- Wall-bounded turbulent flows.- Free turbulent flows: jets and wakes.- Vortex dynamics.- Homogeneous and isotropic turbulence.- The dynamics of isotropic turbulence.- Direct and large eddy simulation of turbulent flows.- Turbulence models.- Experimental methods.

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Book SynopsisAus moderner Sicht werden in diesem Teubner-Taschenbuch die Grundlagen und wichtige Anwendungen der statistischen Physik dargestellt. Auf eine gründliche Darstellung der Begriffsbildungen der statistischen Physik, auf die korrekte Herleitung grundlegender Gleichungen und auf die Durchführung wichtiger Beweise wird besonderer Wert gelegt. Das Buch eignet sich als Begleittext für Kurs- und Spezialvorlesungen, als Repetitorium zur Prüfungsvorbereitung und als Nachschlagewerk zur raschen Information für breite Leserkreise aus Mathematik, Naturwissenschaften und technischen Disziplinen, insbesondere für Studenten dieser Fachrichtungen.Table of ContentsKombinatorik - Wahrscheinlichkeitstheorie - Quantenmechanik und Wahrscheinlichkeit - Thermodynamik - Statistische Physik der Gleichgewichtssysteme - Statistische Physik der Systeme im Nichtgleichgewicht - Statistische Physik und Informationstheorie - Phasenraummethoden der Quantenstatistik - Fraktaltheorie und Perkolationstheorie - Theorie dynamischer Systeme, Chaostheorie, Ergodentheorie - Statistische Thermodynamik chemischer Systeme - Statistische Theorie biologischer Systeme - Synergetik, weitere Anwendungen der statistischen Physik

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Book SynopsisExplicit Stability Conditions for Continuous Systems deals with non-autonomous linear and nonlinear continuous finite dimensional systems. Explicit conditions for the asymptotic, absolute, input-to-state and orbital stabilities are discussed. This monograph provides new tools for specialists in control system theory and stability theory of ordinary differential equations, with a special emphasis on the Aizerman problem. A systematic exposition of the approach to stability analysis based on estimates for matrix-valued functions is suggested and various classes of systems are investigated from a unified viewpoint.Table of ContentsPreliminaries.- Perturbations of Linear Systems.- Linear Systems with Slowly Varying Coefficients.- Linear Dissipative and Piecewise Constant Systems.- Nonlinear Systems with Autonomous Linear Parts.- The Aizerman Problem.- Nonlinear Systems with Time-Variant Linear Parts.- Essentially Nonlinear Systems.- The Lur'e Type Systems.- The Aizerman Type Problem for Nonautonomous Systems.- Input - State Stability.- Orbital Stability and Forced Oscillations.- Positive and Nontrivial Steady States.

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Book SynopsisSpontaneous pattern formation in nonlinear dissipative systems far from equilibrium occurs in a variety of settings in nature and technology, and has applications ranging from nonlinear optics through solid and fluid mechanics, physical chemistry and chemical engineering to biology. This book explores the forefront of current research, describing in-depth the analytical methods that elucidate the complex evolution of nonlinear dissipative systems.Trade ReviewFrom the reviews: "This book presents thorough descriptions of analytical methods divulging the complex evolution of nonlinear dissipative systems, and introduces the reader to the forefront of current research. … This book addresses graduate students and non-specialists from the many related areas of applied mathematics, physical chemistry, chemical engineering and biology, as well as the seasoned scientist in search of a modern source of reference." (Ömer Kavaklioglu, Zentralblatt MATH, Vol. 1098 (24), 2006) "This substantial monograph summarizes a broad selection of results concerning the dynamics of model nonlinear dissipative partial differential equations. … The layout and figures are generally very clear and the material is well-organised. … Overall I recommend this book as a very useful reference and guide to the literature. It will undoubtedly be of use to those working in very different areas of nonlinear science." (Jonathan Dawes, Fluid Mechanics, Vol. 584, 2007) "The book begins with a brief overview of dynamical systems theory, which is helpful for understanding the bulk of the book. … In summary, this book is a clear and comprehensive review of this interesting area of pattern formation, and usefully complements existing texts. It is particularly useful as a reference to the development of the theory of stability of fronts and defects." (Alastair M. Rucklidge, Mathematical Reviews, Issue 2008 f)Table of ContentsDynamics, Stability and Bifurcations.- Fronts and Interfaces.- Systems with Separated Scales.- Amplitude Equations for Patterns.- Amplitude Equations for Waves.

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Book SynopsisConcepts, methods and techniques of statistical physics in the study of correlated, as well as uncorrelated, phenomena are being applied ever increasingly in the natural sciences, biology and economics in an attempt to understand and model the large variability and risks of phenomena. This is the first textbook written by a well-known expert that provides a modern up-to-date introduction for workers outside statistical physics. Table of ContentsUseful Notions of Probability Theory.- Sums of Random Variables, Random Walks and the Central Limit Theorem.- Large Deviations.- Power Law Distributions.- Fractals and Multifractals.- Rank-Ordering Statistics and Heavy Tails.- Statistical Mechanics: Probabilistic Point of View and the Concept of “Temperature”.- Long-Range Correlations.- Phase Transitions: Critical Phenomena and First-Order Transitions.- Transitions, Bifurcations and Precursors.- The Renormalization Group.- The Percolation Model.- Rupture Models.- Mechanisms for Power Laws.- Self-Organized Criticality.- to the Physics of Random Systems.- Randomness and Long-Range Laplacian Interactions.

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Book SynopsisUnderstanding dissipative dynamics of open quantum systems remains a challenge in mathematical physics. This problem is relevant in various areas of fundamental and applied physics. Significant progress in the understanding of such systems has been made recently. These books present the mathematical theories involved in the modeling of such phenomena. They describe physically relevant models, develop their mathematical analysis and derive their physical implications.Table of Contentsto the Theory of Linear Operators.- to Quantum Statistical Mechanics.- Elements of Operator Algebras and Modular Theory.- Quantum Dynamical Systems.- The Ideal Quantum Gas.- Topics in Spectral Theory.

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Book SynopsisThis is the first of a two-volume presentation on current research problems in quantum optics, and will serve as a standard reference in the field for many years to come. The book provides an introduction to the methods of quantum statistical mechanics used in quantum optics and their application to the quantum theories of the single-mode laser and optical bistability. The generalized representations of Drummond and Gardiner are discussed together with the more standard methods for deriving Fokker-Planck equations.Trade ReviewFrom the reviews"To sum up: Statistical Methods in Quantum Optics 1 is an excellent book. Try it, you'll like it!" (M.O. Scully, Physics Today, 2000)"The book is carefully written, in considerable detail, paying attention to both foundations and applications. It contains exercices completing or generalizing the material presented, and ample references to the literature. It is, therefore, very useful as the basis for a course." (V.R. Vieira, Mathematical Reviews, 2000f) PHYSICS TODAY"…a valuable addition to the literature…an excellent book. Try it, you’ll like it!” "It is a pleasure to recommend this title thoroughly for both individual and institutional purchase." (D. L. Andrews (University of Anglia), Contemporary Physics 2002, vol. 43, page 232-233)Table of Contents1. Dissipation in Quantum Mechanics: The Master Equation Approach.- 2. Two-Level Atoms and Spontaneous Emission.- 3. Quantum—Classical Correspondence for the Electromagnetic Field I: The Glauber—Sudarshan P Representation.- 4. Quantum—Classical Correspondence for the Electromagnetic Field II: P, Q, and Wigner Representations.- 5. Fokker—Planck Equations and Stochastic Differential Equations.- 6. Quantum—Classical Correspondence for Two-Level Atoms.- 7. The Single-Mode Homogeneously Broadened Laser I: Preliminaries.- 8. The Single-Mode Homogeneously Broadened Laser II: Phase-Space Analysis.- References.

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Book SynopsisHalf a century ago, S. Chandrasekhar wrote these words in the preface to his l celebrated and successful book: In this monograph an attempt has been made to present the theory of stellar dy­ namics as a branch of classical dynamics - a discipline in the same general category as celestial mechanics. [ ... J Indeed, several of the problems of modern stellar dy­ namical theory are so severely classical that it is difficult to believe that they are not already discussed, for example, in Jacobi's Vorlesungen. Since then, stellar dynamics has developed in several directions and at var­ ious levels, basically three viewpoints remaining from which to look at the problems encountered in the interpretation of the phenomenology. Roughly speaking, we can say that a stellar system (cluster, galaxy, etc.) can be con­ sidered from the point of view of celestial mechanics (the N-body problem with N » 1), fluid mechanics (the system is represented by a material con­ tinuum), or statistical mechanics (one defines a distribution function for the positions and the states of motion of the components of the system).Trade ReviewFrom the reviews "The book is ... didactically written and contains topics from classical to most modern ones, treated rigorously by indicating where complete proofs are to be found."Zentralblatt für Mathematik, 1999Table of Contents— The Theory of Orbits from Epicycles to “Chaos”.- 1. Dynamics and Dynamical Systems — Quod Satis.- 2. The Two-Body Problem.- 3. The N-Body Problem.- 4. The Three-Body Problem.- 5. Orbits in Given Potentials.- Mathematical Appendix.- A.1 Spherical Trigonometry.- A.2 Curvilinear Coordinate Systems.- A.3 Riemannian Geometry.- Bibliographical Notes.- Name Index.

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Book SynopsisDas bewährte Standardlehrbuch in umfassend überarbeiteter und ergänzter 7. Auflage mit zahlreichen neu gestalteten Abbildungen, neuen Kapiteln zur supersymmetrischen Quantenmechanik und Theorie des Messprozesses sowie über 100 Aufgaben. Neben den Grundlagen und vielen Anwendungen erörtert der Autor neue Aspekte der Quantentheorie und ihrer experimentellen Überprüfung. Die explizite Ausführung aller Zwischenrechnungen hilft Studierenden, Quantenmechanik schneller und leichter zu verstehen. Die optimale Vorbereitung auf "Quantenmechanik für Fortgeschrittene (QM II)" desselben Autors. Im Anhang: mathematische Hilfsmittel und ergänzende Formeln.Table of ContentsHistorische und experimentelle Grundlagen.- Wellenfunktion und Schrödinger-Gleichung.- Eindimensionale Probleme.- Unschärferelation.- Der Drehimpuls.- Zentralpotential I.- Bewegung im elektromagnetischen Feld.- Operatoren, Matrizen, Zustandsvektoren.- Spin.- Addition von Drehimpulsen.- Näherungsmethoden für stationäre Zustände.- Relativistische Korrekturen.- Atome mit mehreren Elektronen.- Zeeman-Effekt und Stark-Effekt.- Moleküle.- Zeitabhängige Phänomene.- Zentralpotential II.- Streutheorie.- Supersymmetrische Quantentheorie.- Zustand und Meßprozeß in der Quantenmechanik.

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Book SynopsisThis, the fourth edition of Stuwe’s book on the calculus of variations, surveys new developments in this exciting field. It also gives a concise introduction to variational methods. In particular it includes the proof for the convergence of the Yamabe flow and a detailed treatment of the phenomenon of blow-up. Recently discovered results for backward bubbling in the heat flow for harmonic maps or surfaces are discussed. A number of changes have been made throughout the text.Trade ReviewFrom the reviews of the fourth edition:"The fourth edition of Michael Struwe’s book Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems was published in 2008, 18 years after the first edition. … The bibliography alone would make it a valuable reference as it contains nearly 500 references. … Struwe’s book is addressed to researchers in differential geometry and partial differential equations." (John D. Cook, MAA Online, January, 2009)“This is the fourth edition of a standard reference work on direct methods in the calculus of variations. … The book contains a wealth of important results that would otherwise be hard to find in one single place.” (M. Kunzinger, Monatshefte für Mathematik, Vol. 160 (4), July, 2010)Table of ContentsThe Direct Methods in the Calculus of Variations.- Minimax Methods.- Limit Cases of the Palais-Smale Condition.

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Book SynopsisThis volume covers the stability of nonautonomous differential equations in Banach spaces in the presence of nonuniform hyperbolicity. Topics under discussion include the Lyapunov stability of solutions, the existence and smoothness of invariant manifolds, and the construction and regularity of topological conjugacies. The exposition is directed to researchers as well as graduate students interested in differential equations and dynamical systems, particularly in stability theory.Trade ReviewFrom the reviews: “In this book, the authors give a unified presentation of a substantial body of work which they have carried out and which revolves around the concept of nonuniform exponential dichotomy. … This is a well-written book which contains many interesting results. The reader will find significant generalizations of the standard invariant manifold theories, of the Hartman-Grobman theorem … . Anyone interested in these topics will profit from reading this book.” (Russell A. Johnson, Mathematical Reviews, Issue 2010 b)Table of ContentsExponential dichotomies.- Exponential dichotomies and basic properties.- Robustness of nonuniform exponential dichotomies.- Stable manifolds and topological conjugacies.- Lipschitz stable manifolds.- Smooth stable manifolds in Rn.- Smooth stable manifolds in Banach spaces.- A nonautonomous Grobman–Hartman theorem.- Center manifolds, symmetry and reversibility.- Center manifolds in Banach spaces.- Reversibility and equivariance in center manifolds.- Lyapunov regularity and stability theory.- Lyapunov regularity and exponential dichotomies.- Lyapunov regularity in Hilbert spaces.- Stability of nonautonomous equations in Hilbert spaces.

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Book SynopsisThe present third edition of The Statistical Mechanics of Financial Markets is published only four years after the ?rst edition. The success of the book highlights the interest in a summary of the broad research activities on the application of statistical physics to ?nancial markets. I am very grateful to readers and reviewers for their positive reception and comments. Why then prepare a new edition instead of only reprinting and correcting the second edition? The new edition has been signi?cantly expanded, giving it a more pr- tical twist towards banking. The most important extensions are due to my practical experience as a risk manager in the German Savings Banks’ As- ciation (DSGV): Two new chapters on risk management and on the closely related topic of economic and regulatory capital for ?nancial institutions, - spectively, have been added. The chapter on risk management contains both the basics as well as advanced topics, e. g. coherent risk measures, which have not yet reached the statistical physics community interested in ?nancial m- kets. Similarly, it is surprising how little research by academic physicists has appeared on topics relating to Basel II. Basel II is the new capital adequacy framework which will set the standards in risk management in many co- tries for the years to come. Basel II is responsible for many job openings in banks for which physicists are extemely well quali?ed. For these reasons, an outline of Basel II takes a major part of the chapter on capital.Trade ReviewFrom the reviews of the third edition: "An excellent job of integrating many of the most important themes from econophysics in a relatively small volume. … The book serves its purpose, as a textbook on econophysics, superbly and one can tell that it developed from a course of lectures. The book is written with extreme clarity and an excellent pedagogical style. For philosophers who wish to acquaint themselves with the field of econophysics (beyond a superficial level), this is the book to invest in." (Dean Rickles, Studies in History and Philosophy of Modern Physics, Vol. 38, 2007)Table of ContentsIntroduction.- Basic Information on Capital Markets.- Random Walks in Finance and Physics.- The Black-Scholes Theory of Option Prices.- Scaling in Financial Data and in Physics.- Turbulence and Foreign Exchange Markets.- Derivative Pricing Beyond Black-Scholes.- Microscopic Market Models.- Theory of Stock Exchange Crashes.- Risk Management.- Economic and Regulatory Capital for Financial Institutions.- Appendix.- Notes and References.- Index.

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Book SynopsisThe widespread interest this book has found among professors, scientists and stu­ dents working in a variety of fields has made a new edition necessary. I have used this opportunity to add three new chapters on recent developments. One of the most fascinating fields of modern science is cognitive science which has become a meet­ ing place of many disciplines ranging from mathematics over physics and computer science to psychology. Here, one of the important links between these fields is the concept of information which, however, appears in various disguises, be it as Shan­ non information or as semantic information (or as something still different). So far, meaning seemed to be exorcised from Shannon information, whereas meaning plays a central role in semantic (or as it is sometimes called "pragmatic") information. In the new chapter 13 it will be shown, however, that there is an important interplay between Shannon and semantic information and that, in particular, the latter plays a decisive role in the fixation of Shannon information and, in cognitive processes, al­ lows a drastic reduction of that information. A second, equally fascinating and rapidly developing field for mathematicians, computer scientists and physicists is quantum information and quantum computa­ tion. The inclusion of these topics is a must for any modern treatise dealing with in­ formation. It becomes more and more evident that the abstract concept of informa­ tion is inseparably tied up with its realizations in the physical world.Trade ReviewFrom the reviews of the third edition: "This enlarged edition of Information and Self-Organization addresses the concept of information in depth: ranging ‘from Shannon information, from which all semantics has been exorcised, to the effects of information on receivers and the self-creation of meaning’—that is, toward semantic information … . Nevertheless, both the qualitative lessons and quantitative analysis presented in the book … very useful for artificial life researchers." (Mikhail Prokopenko, Artificial Life, Vol. 15, 2009)Table of ContentsThe Challenge of Complex Systems.- From the Microscopic to the Macroscopic World ....- ... and Back Again: The Maximum Information Principle (MIP).- An Example from Physics: Thermodynamics.- Application of the Maximum Information Principle to Self-Organizing Systems.- The Maximum Information Principle for Nonequilibrium Phase Transitions: Determination of Order Parameters, Enslaved Modes, and Emerging Patterns.- Information, Information Gain, and Efficiency of Self-Organizing Systems Close to Their Instability Points.- Direct Determination of Lagrange Multipliers.- Unbiased Modeling of Stochastic Processes: How to Guess Path Integrals, Fokker-Planck Equations and Langevin-Îto Equations.- Application to Some Physical Systems.- Transitions Between Behavioral Patterns in Biology. An Example: Hand Movements.- Pattern Recognition. Unbiased Guesses of Processes: Explicit Determination of Lagrange Multipliers.- Information Compression in Cognition: The Interplay between Shannon and Semantic Information.- Quantum Systems.- Quantum Information.- Quantum Computation.- Concluding Remarks and Outlook.

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Book SynopsisThis book is an often-requested reprint of two classic texts by H. Haken: "Synergetics. An Introduction" and "Advanced Synergetics". Synergetics, an interdisciplinary research program initiated by H. Haken in 1969, deals with the systematic and methodological approach to the rapidly growing field of complexity. Going well beyond qualitative analogies between complex systems in fields as diverse as physics, chemistry, biology, sociology and economics, Synergetics uses tools from theoretical physics and mathematics to construct an unifying framework within which quantitative descriptions of complex, self-organizing systems can be made. This may well explain the timelessness of H. Haken's original texts on this topic, which are now recognized as landmarks in the field of complex systems. They provide both the beginning graduate student and the seasoned researcher with solid knowledge of the basic concepts and mathematical tools. Moreover, they admirably convey the spirit of the pioneering work by the founder of Synergetics through the essential applications contained herein that have lost nothing of their paradigmatic character since they were conceived.Table of ContentsAn Introduction.- Advanced Topics.

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Book SynopsisThe book is divided into two parts. The first part looks at the modeling of statistical systems before moving on to an analysis of these systems. This second edition contains new material on: estimators based on a probability distribution for the parameters; identification of stochastic models from observations; and statistical tests and classification methods.Table of Contents1 Statistical Physics: Is More than Statistical Mechanics.- I Modeling of Statistical Systems.- 2 Random Variables: Fundamentals of Probability Theory and Statistics.- 3 Random Variables in State Space: Classical Statistical Mechanics of Fluids.- 4 Random Fields: Textures and Classical Statistical Mechanics of Spin Systems.- 5 Time-Dependent Random Variables: Classical Stochastic Processes.- 6 Quantum Random Systems.- 7 Changes of External Conditions.- II Analysis of Statistical Systems.- 8 Estimation of Parameters.- 9 Signal Analysis: Estimation of Spectra.- 10 Estimators Based on a Probability Distribution for the Parameters.- 11 Identification of Stochastic Models from Observations.- 12 Estimating the Parameters of a Hidden Stochastic Model.- 13 Statistical Tests and Classification Methods.- Appendix: Random Number Generation for Simulating Realizations of Random Variables.- Problems.- Hints and Solutions.- References.

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Book SynopsisThis introductory course on quantum mechanics is the basic lecture that precedes and completes the author's second book Advanced Quantum Mechanics. This new edition is up-to-date and has been revised. Coverage meets the needs of students by giving all mathematical steps and worked examples with applications throughout the text as well as many problems at the end of each chapter. It contains nonrelativistic quantum mechanics and a short treatment of the quantization of the radiation field. Besides the essentials, the book also discusses topics such as the theory of measurement, the Bell inequality, and supersymmetric quantum mechanics.Trade ReviewFrom the reviews: "Any student wishing to develop mathematical skills and deepen their understanding of the technical side of quantum theory will find Schwabl's Quantum Mechanics very helpful". Contemporary Physics From the reviews of the fourth edition: "Quantum Mechanics … presents a nice balance between theory and practical applications in this work that is intended for introductory coursework. It is designed to complement the author’s Advanced Quantum Mechanics (2005). Schwabl (Technische Universität München) succinctly covers a wide range of topics in 20 chapters … . The book also includes worked examples and applications. Summing Up: Recommended. Upper-division undergraduates through researchers and faculty." (D. B. Moss, CHOICE, Vol. 45 (10), June, 2008) "It is an excellent introduction for students of physics or mathematics into the fundamentals of quantum mechanics covering the methods used in applications. … The main point is that the fundamentals and methods of quantum mechanics are mediated very well and guide the reader to apply them successfully. This book can be best recommended to students and lecturers." (K.-E. Hellwig, Zentralblatt MATH, Vol. 1166, 2009)Table of ContentsHistorical and Experimental Foundations.- The Wave Function and the Schrödinger Equation.- One-Dimensional Problems.- The Uncertainty Relation.- Angular Momentum.- The Central Potential I.- Motion in an Electromagnetic Field.- Operators, Matrices, State Vectors.- Spin.- Addition of Angular Momenta.- Approximation Methods for Stationary States.- Relativistic Corrections.- Several-Electron Atoms.- The Zeeman Effect and the Stark Effect.- Molecules.- Time Dependent Phenomena.- The Central Potential II.- Scattering Theory.- Supersymmetric Quantum Theory.- State and Measurement in Quantum Mechanics.

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Book SynopsisWhat are the relations between the shape of a system of cities and that of fish school? Which events should happen in a cell in order that it participates to one of the finger of our hands? How to interpret the shape of a sand dune? This collective book written for the non-specialist addresses these questions and more generally, the fundamental issue of the emergence of forms and patterns in physical and living systems. It is a single book gathering the different aspects of morphogenesis and approaches developed in different disciplines on shape and pattern formation. Relying on the seminal works of D’Arcy Thompson, Alan Turing and René Thom, it confronts major examples like plant growth and shape, intra-cellular organization, evolution of living forms or motifs generated by crystals. A book essential to understand universal principles at work in the shapes and patterns surrounding us but also to avoid spurious analogies.Table of ContentsIntroduction.- Self-organization at equilibrum. A model system: ferrofluids.- Hierarchical networks of fractures.- Liquid crystals and morphogenesis.- Biological self-organization by way of the dynamics of reactive processes.- Sand dunes.- Morphodynamics of secretory pathways.- From epigenomics to morphogenetic emergence.- Animal morphogenesis.- Phyllotaxy.- Logic of forms.- Forms emerging from collective motion.- Systems of cities and levels of organization.- Levels of organization and morphogenesis: the viewpoint of D'Arcy Thompson.- Morphogenetic models of René Thom.- Morphogenesis, structural stability and epigenetic landscape.- Morphological and mutational analysis: tools for morphogenesis study.- Morphogenesis in computer science.

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Book SynopsisThe “language-communication-society” triangle defies traditional scientific approaches. Rather, it is a phenomenon that calls for an integration of complex, transdisciplinary perspectives, if we are to make any progress in understanding how it works. The highly diverse agents in play are not merely cognitive and/or cultural, but also emotional and behavioural in their specificity. Indeed, the effort may require building a theoretical and methodological body of knowledge that can effectively convey the characteristic properties of phenomena in human terms.New complexity approaches allow us to rethink our limited and mechanistic images of human societies and create more appropriate emo-cognitive dynamic and holistic models. We have to enter into dialogue with the complexity views coming out of other more ‘material’ sciences, but we also need to take steps in the linguistic and psycho-sociological fields towards creating perspectives and concepts better fitted to human characteristics.Our understanding of complexity is different – but not opposed – to the one that is more commonly found in texts written by people working in physics or computer science, for example. The goal of this book is to extend the knowledge of these other more ‘human’ or socially oriented perspectives on complexity, taking account of the language and communication singularities of human agents in society. Our understanding of complexity is different – but not opposed – to the one that is more commonly found in texts written by people working in physics or computer science, for example. The goal of this book is to extend the knowledge of these other more ‘human’ or socially oriented perspectives on complexity, taking account of the language and communication singularities of human agents in society. Table of ContentsIntroduction .-Facing complexity: Prediction vs. adaptation .- Sociolinguistics: Towards a complex ecological view.- Language as a Complex Adaptive System: Towards an Integrative Linguistics.- An experientially-based informationless communication .- Conversation as emergent function .- Communication situations: A dialogic quiz? .-Education, emotion, complexity.-Minds and screens. Communication and socialization from a complexity perspective .-Self-organization in communicating groups: The emergence of coordination, shared references and collective intelligence .- General linguistics and communication sciences: Sociocomplexity as an integrative perspective .-The Fuzzy Complexity of Languag.- The emergence of complexity in language: An evolutionary perspective .- The ecology of pressures: Towards a tool to analyze the complex process of language shift and maintenance .- Ethics and Progress in Today’s World .Sociocomplexity as an integrative perspective .-The Fuzzy Complexity of Languag.- The emergence of complexity in language: An evolutionary perspective .- The ecology of pressures: Towards a tool to analyze the complex process of language shift and maintenance .- Ethics and Progress in Today’s World .Sociocomplexity as an integrative perspective .-The Fuzzy Complexity of Languag.- The emergence of complexity in language: An evolutionary perspective .- The ecology of pressures: Towards a tool to analyze the complex process of language shift and maintenance .- Ethics and Progress in Today’s World .Sociocomplexity as an integrative perspective .-The Fuzzy Complexity of Languag.- The emergence of complexity in language: An evolutionary perspective .- The ecology of pressures: Towards a tool to analyze the complex process of language shift and maintenance .- Ethics and Progress in Today’s World .Sociocomplexity as an integrative perspective .-The Fuzzy Complexity of Languag.- The emergence of complexity in language: An evolutionary perspective .- The ecology of pressures: Towards a tool to analyze the complex process of language shift and maintenance .- Ethics and Progress in Today’s World .Sociocomplexity as an integrative perspective .-The Fuzzy Complexity of Languag.- The emergence of complexity in language: An evolutionary perspective .- The ecology of pressures: Towards a tool to analyze the complex process of language shift and maintenance .- Ethics and Progress in Today’s World .Sociocomplexity as an integrative perspective .-The Fuzzy Complexity of Languag.- The emergence of complexity in language: An evolutionary perspective .- The ecology of pressures: Towards a tool to analyze the complex process of language shift and maintenance .- Ethics and Progress in Today’s World .Sociocomplexity as an integrative perspective .-The Fuzzy Complexity of Languag.- The emergence of complexity in language: An evolutionary perspective .- The ecology of pressures: Towards a tool to analyze the complex process of language shift and maintenance .- Ethics and Progress in Today’s World .Sociocomplexity as an integrative perspective .-The Fuzzy Complexity of Languag.- The emergence of complexity in language: An evolutionary perspective .- The ecology of pressures: Towards a tool to analyze the complex process of language shift and maintenance .- Ethics and Progress in Today’s World .

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Book SynopsisThe application of statistical methods to physics is essential. This unique book on statistical physics offers an advanced approach with numerous applications to the modern problems students are confronted with. Therefore the text contains more concepts and methods in statistics than the student would need for statistical mechanics alone. Methods from mathematical statistics and stochastics for the analysis of data are discussed as well. The book is divided into two parts, focusing first on the modeling of statistical systems and then on the analysis of these systems. Problems with hints for solution help the students to deepen their knowledge. The third edition has been updated and enlarged with new sections deepening the knowledge about data analysis. Moreover, a customized set of problems with solutions is accessible on the Web at extras.springer.com.Trade ReviewFrom the book reviews:“The book is carefully divided into two parts. The first part deals with modeling of statistical systems. The second part is devoted to the analysis of the respective systems. … followed by a section that offers helpful hints and solutions to problems throughout the text, making it easier for students to deepen their understanding and confidence in their newfound knowledge. … topics in each chapter are carefully selected and are well presented, making it a reliable reference for ‘statistical physics.’” (Technometrics, Vol. 55 (2), May, 2013)Table of ContentsStatistical Physics is more than Statistical Mechanics.- Part I: Modeling of Statistical Systems.- Random Variables: Fundamentals of Probability Theory and Statistics.- Random Variables in State Space: Classical Statistical Mechanics of Fluids.- Random Fields: Textures and Classical Statistical Mechanics of Spin Systems.- Time-Dependent Random Variables: Classical Stochastic Processes.- Quantum Random Systems.- Changes of External Conditions.- Part II: Analysis of Statistical Systems.- Estimation of Parameters.- Signal Analysis: Estimation of Spectra.- Estimators Based on a Probability Distribution for the Parameters.- Identification of Stochastic Models from Observations.- Estimating the Parameters of a Hidden Stochastic Model.- Statistical Tests and Classification Methods.- Appendix: Random Number Generation for Simulating Realizations of Random Variables.- Problems.- Hints and Solutions.

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Book SynopsisOne of the driving forces behind much of modern science and technology is the desire to foresee and thereby control the future. In recent years, however, it has become clear that, even in a deterministic world, there is alimit to the accuracy with which we can predict the future. This book details, in a largely nontechnical style, the extent to which we can predict the future development of various physical, biological and socio-economic processes.Table of Contents1. Introduction.- References.- 2. Forecasting Weather and Climate.- 2.1 Weather and Climate.- 2.2 Dynamical Systems and Their Properties.- 2.3 Weather Predictability.- 2.4 Elements of Stationary Random Process Prediction Theory.- 2.5 Predictability of Climatic Processes.- 2.6 Ways to Improve Statistical Forecasting.- 2.7 Utilization of Forecasting Results.- 2.8 Conclusion.- References.- 3. How an Active Autowave Medium Can Be Used to Predict the Future.- 3.1 Prediction.- 3.2 Active Autowave Media.- 3.3 Autowave Propagation in Energy-Restoring Active Media.- 3.4 Dynamics of Autowave Interaction.- 3.5 The External Medium Model and Its Fourier Image.- 3.6 Non-isochronism of Cyclic Processes.- 3.7 Harmonious Modulation and Modulation of Harmonics.- 3.8 The Fourier Image Cleared by the Active Autowave Medium.- References.- 4. Synergetics, Predictability and Deterministic Chaos.- 4.1 Dynamical Chaos.- 4.2 Nonlinearity and Open Systems Behavior.- 4.3 Synergetics and Order Parameters.- 4.4 Strangeness of the Strange Attractors.- 4.5 Dynamical Chaos and Reality.- 4.6 Dynamical Chaos. Gates of Fairyland.- References.- 5. The Information-Theoretic Approach to Assessing Reliability of Forecasts.- 5.1 Assessing Forecasts.- 5.2 Forecasting as the Subject Matter of Information Theory.- 5.3 An Example.- 5.4 Optimization of Forecasting Methods.- 5.5 Properties Shared by Prediction Methods.- 5.6 The Connection Between Discounting and Non-stationarity.- 5.7 Conclusion.- References.- 6. Prediction of Time Series.- 6.1 The Problem.- 6.2 Genesis of Random Phenomena.- 6.3 Time Series Prediction Based on Dynamical Chaos Theory.- 6.4 Prediction of Point Processes.- 6.5 The Nature of Errors Hindering Prediction.- 6.6 Prediction of Strong Earthquakes.- References.- 7. Fundamental and Practical Limits of Predictability.- 7.1 Predictability.- 7.2 Real, Observed, and Model Processes.- 7.3 Degree of Predictability. The Predictability Horizon.- 7.4 Searching for Prediction Models.- 7.5 Limits to Predictability.- 7.6 Dynamical Analogs to Social and Economic Phenomena.- 7.7 Conclusion.- References.- 8. The Future is Foreseeable but not Predictable: The ‘Oedipus Effect’ in Social Forecasting.- 8.1 Historical Background.- 8.2 The ‘Oedipus Effect’ in Social Forecasting.- 8.3 The Problem of Foresight and Prediction in Globalistics.- 8.4 The Problem of Foreseeing and Predicting the Development of the Former Soviet Society.- References.- Appendix A: Looking Back on the August 1991 Coup.- Appendix B: Looking Ahead.- 9. The Self-Organization of American Society in Presidential and Senatorial Elections.- 9.1 Historical Background.- 9.2 The American Presidential Election: Formal Analysis.- 9.3 Midterm Senatorial Elections: Formal Analysis.- 9.4 Discussion.- References.- 10. Problems of Predictability in Ethnogenic Studies.- References.

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Book SynopsisThis book reviews the basic ideas of the Law of Large Numbers with its consequences to the deterministic world and the issue of ergodicity. Applications of Large Deviations and their outcomes to Physics are surveyed. The book covers topics encompassing ergodicity and its breaking and the modern applications of Large deviations to equilibrium and non-equilibrium statistical physics, disordered and chaotic systems, and turbulence.Table of ContentsErgodicity – A Basic Concept.- Large Deviations in Statistical Mechanics: Rigorous and Non-Rigorous.- Large Deviation Techniques for Long-Range Interactions.- Fluctuation-Dissipation and Fluctuation Relations: From Equilibrium to Nonequilibrium Phenomena and Back.- Stochastic Fluctuations in Deterministic Systems.- Large Deviation and Disordered Systems.- Large Deviations in Turbulence.- Ergodicity Breaking Challenges Monte Carlo Methods.- Anomalous Diffusion: Deterministic and Stochastic Perspectives.- The Use of Fluctuation Relations for the Analysis of Free-Energy Landscapes.

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Book SynopsisSince the publication of the first edition of our book, geometric algorithms and combinatorial optimization have kept growing at the same fast pace as before. Nevertheless, we do not feel that the ongoing research has made this book outdated. Rather, it seems that many of the new results build on the models, algorithms, and theorems presented here. For instance, the celebrated Dyer-Frieze-Kannan algorithm for approximating the volume of a convex body is based on the oracle model of convex bodies and uses the ellipsoid method as a preprocessing technique. The polynomial time equivalence of optimization, separation, and membership has become a commonly employed tool in the study of the complexity of combinatorial optimization problems and in the newly developing field of computational convexity. Implementations of the basis reduction algorithm can be found in various computer algebra software systems. On the other hand, several of the open problems discussed in the first edition are still unsolved. For example, there are still no combinatorial polynomial time algorithms known for minimizing a submodular function or finding a maximum clique in a perfect graph. Moreover, despite the success of the interior point methods for the solution of explicitly given linear programs there is still no method known that solves implicitly given linear programs, such as those described in this book, and that is both practically and theoretically efficient. In particular, it is not known how to adapt interior point methods to such linear programs.Table of Contents0. Mathematical Preliminaries.- 0.1 Linear Algebra and Linear Programming.- Basic Notation.- Hulls, Independence, Dimension.- Eigenvalues, Positive Definite Matrices.- Vector Norms, Balls.- Matrix Norms.- Some Inequalities.- Polyhedra, Inequality Systems.- Linear (Diophantine) Equations and Inequalities.- Linear Programming and Duality.- 0.2 Graph Theory.- Graphs.- Digraphs.- Walks, Paths, Circuits, Trees.- 1. Complexity, Oracles, and Numerical Computation.- 1.1 Complexity Theory: P and NP.- Problems.- Algorithms and Turing Machines.- Encoding.- Time and Space Complexity.- Decision Problems: The Classes P and NP.- 1.2 Oracles.- The Running Time of Oracle Algorithms.- Transformation and Reduction.- NP-Completeness and Related Notion.- 1.3 Approximation and Computation of Numbers.- Encoding Length of Numbers.- Polynomial and Strongly Polynomial Computations.- Polynomial Time Approximation of Real Numbers.- 1.4 Pivoting and Related Procedures.- Gaussian Elimination.- Gram-Schmidt Orthogonalization.- The Simplex Method.- Computation of the Hermite Normal Form.- 2. Algorithmic Aspects of Convex Sets: Formulation of the Problems.- 2.1 Basic Algorithmic Problems for Convex Sets.- 2.2 Nondeterministic Decision Problems for Convex Sets.- 3. The Ellipsoid Method.- 3.1 Geometric Background and an Informal Description.- Properties of Ellipsoids.- Description of the Basic Ellipsoid Method.- Proofs of Some Lemmas.- Implementation Problems and Polynomiality.- Some Examples.- 3.2 The Central-Cut Ellipsoid Method.- 3.3 The Shallow-Cut Ellipsoid Method.- 4. Algorithms for Convex Bodies.- 4.1 Summary of Results.- 4.2 Optimization from Separation.- 4.3 Optimization from Membership.- 4.4 Equivalence of the Basic Problems.- 4.5 Some Negative Results.- 4.6 Further Algorithmic Problems for Convex Bodies.- 4.7 Operations on Convex Bodies.- The Sum.- The Convex Hull of the Union.- The Intersection.- Polars, Blockers, Antiblockers.- 5. Diophantine Approximation and Basis Reduction.- 5.1 Continued Fractions.- 5.2 Simultaneous Diophantine Approximation: Formulation of the Problems.- 5.3 Basis Reduction in Lattices.- 5.4 More on Lattice Algorithms.- 6. Rational Polyhedra.- 6.1 Optimization over Polyhedra: A Preview.- 6.2 Complexity of Rational Polyhedra.- 6.3 Weak and Strong Problems.- 6.4 Equivalence of Strong Optimization and Separation.- 6.5 Further Problems for Polyhedra.- 6.6 Strongly Polynomial Algorithms.- 6.7 Integer Programming in Bounded Dimension.- 7. Combinatorial Optimization: Some Basic Examples.- 7.1 Flows and Cuts.- 7.2 Arborescences.- 7.3 Matching.- 7.4 Edge Coloring.- 7.5 Matroids.- 7.6 Subset Sums.- 7.7 Concluding Remarks.- 8. Combinatorial Optimization: A Tour d’Horizon.- 8.1 Blocking Hypergraphs and Polyhedra.- 8.2 Problems on Bipartite Graphs.- 8.3 Flows, Paths, Chains, and Cuts.- 8.4 Trees, Branchings, and Rooted and Directed Cuts.- Arborescences and Rooted Cuts.- Trees and Cuts in Undirected Graphs.- Dicuts and Dijoins.- 8.5 Matchings, Odd Cuts, and Generalizations.- Matching.- b-Matching.- T-Joins and T-Cuts.- Chinese Postmen and Traveling Salesmen.- 8.6 Multicommodity Flows.- 9. Stable Sets in Graphs.- 9.1 Odd Circuit Constraints and t-Perfect Graphs.- 9.2 Clique Constraints and Perfect Graphs.- Antiblockers of Hypergraphs.- 9.3 Orthonormal Representations.- 9.4 Coloring Perfect Graphs.- 9.5 More Algorithmic Results on Stable Sets.- 10. Submodular Functions.- 10.1 Submodular Functions and Polymatroids.- 10.2 Algorithms for Polymatroids and Submodular Functions.- Packing Bases of a Matroid.- 10.3 Submodular Functions on Lattice, Intersecting, and Crossing Families.- 10.4 Odd Submodular Function Minimization and Extensions.- References.- Notation Index.- Author Index.

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Book SynopsisThis book is conceived as a comprehensive and detailed text-book on non-linear dynamical systems with particular emphasis on the exploration of chaotic phenomena. The self-contained introductory presentation is addressed both to those who wish to study the physics of chaotic systems and non-linear dynamics intensively as well as those who are curious to learn more about the fascinating world of chaotic phenomena. Basic concepts like Poincaré section, iterated mappings, Hamiltonian chaos and KAM theory, strange attractors, fractal dimensions, Lyapunov exponents, bifurcation theory, self-similarity and renormalisation and transitions to chaos are thoroughly explained. To facilitate comprehension, mathematical concepts and tools are introduced in short sub-sections. The text is supported by numerous computer experiments and a multitude of graphical illustrations and colour plates emphasising the geometrical and topological characteristics of the underlying dynamics.This volume is a completely revised and enlarged second edition which comprises recently obtained research results of topical interest, and has been extended to include a new section on the basic concepts of probability theory. A completely new chapter on fully developed turbulence presents the successes of chaos theory, its limitations as well as future trends in the development of complex spatio-temporal structures."This book will be of valuable help for my lectures" Hermann Haken, Stuttgart"This text-book should not be missing in any introductory lecture on non-linear systems and deterministic chaos" Wolfgang Kinzel, Würzburg“This well written book represents a comprehensive treatise on dynamical systems. It may serve as reference book for the whole field of nonlinear and chaotic systems and reports in a unique way on scientific developments of recent decades as well as important applications.” Joachim Peinke, Institute of Physics, Carl-von-Ossietzky University Oldenburg, GermanyTrade Review“Familiarity with ideas and tools presented here is of doubtless use for all those who apply methods of the theory of dynamical systems to various problems in science and technology. I expect the book to find its readership basically as an introduction to nonlinear dynamics for undergraduate students of natural sciences, but also as a general reference work for researchers confronted with the need to understand dynamical mechanisms behind the phenomena which they encounter in their experiments and numerical simulations.” (Mikhail Zaks, Mathematical Reviews, May, 2016)Table of ContentsDescriptive synopsis of the text.- Mathematical introduction to dynamical systems.- Dynamical systems without dissipation.- Dynamical systems with dissipation.- Local bifurcation theory.- Convective flow: Benard problem.- Routes to chaos.- Turbulence.- Computer experiments.

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Book SynopsisThis textbook is the result of many years of teaching quantum and statistical mechanics, drawing on exercises and exam papers used on courses taught by the authors. The subjects of the exercises have been carefully selected to cover all the material which is most needed by students. Each exercise is carefully solved in full details, explaining the theory behind the solution with particular care for those issues that students often find difficult, or which are often neglected in other books on the subject. The exercises in this book never require extensive calculations but tend to be somewhat unusual and force the solver to think about the problem starting from first principles, rather than by analogy with some previously solved exercise.Table of ContentsIntroduction to Quantum Mechanics.- Problems on Quantum Mechanics.- Problems on Statistical Mechanics.

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Book SynopsisThe aim of this work is to bridge the gap between the well-known Newtonian mechanics and the studies on chaos, ordinarily reserved to experts. Several topics are treated: Lagrangian, Hamiltonian and Jacobi formalisms, studies of integrable and quasi-integrable systems. The chapter devoted to chaos also enables a simple presentation of the KAM theorem. All the important notions are recalled in summaries of the lectures. They are illustrated by many original problems, stemming from real-life situations, the solutions of which are worked out in great detail for the benefit of the reader. This book will be of interest to undergraduate students as well as others whose work involves mechanics, physics and engineering in general.Trade ReviewFrom the reviews:“The present book fills an important gap in the scientific literature since most books on analytical mechanics concentrate on the theoretical aspects. A great number of exercises and problems are divided into eight chapters … . In conclusion, this is an excellent source of concrete examples for students and mathematicians from several fields.” (Mircea Crâşmăreanu, Zentralblatt MATH, Vol. 1172, 2009)Table of ContentsForeword Synoptic Tables. Chapter 1 : The Lagrangian formulation (1 1 problems) Chapter 2 : Lagrangian systems (14 problems) Chapter 3 : The Hamilton's principle (15 problems) Chapter 4 : The Hamiltonian formalism (17 problems) Chapter 5 : The Hamilton-Jacobi formalism (1 1 problems) Chapter 6 : Integrable systems (18 problems) Chapter 7 : Quasi-integrable systems (9 problems) Chapter 8 : From order to chaos (12 problems). Bibliography.

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