Cybernetics and systems theory Books

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 SynopsisDieses Buch ist eine besonders geeignete Einführung zum Thema Chaos und Simulation dynamischer Systeme für Studenten der Ingenieur- und der Naturwissenschaften. Die Untersuchung von einfachen Modellen aus der Populationsdynamik dient als Vehikel, einen schnellen und zielgerichteten Einstieg zu erzielen. Das nötige mathematische und simulationstechnische Werkzeug wird nach Bedarf eingeführt und gut verständlich erklärt. Unterstützt wird die Darstellung durch Programme auf beiliegender Diskette, die die Zusammenhänge verdeutlichen und zum Experimentieren anregen.Table of ContentsPopulationsdynamik - Räuber-Beute-Systeme - Simulation nichtlinearer Differentialgleichungen - Prozeßorientierte Simulation - Stabilität - Bifurkation - seltsame Attraktoren - Chaos - dissipative Systeme - fraktale Ddimension - Lorenzmodelle - Dynamik der Krankheitsepidemien

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Book SynopsisThe purpose of this book is to present a self-contained description of the fun­ damentals of the theory of nonlinear control systems, with special emphasis on the differential geometric approach. The book is intended as a graduate text as weil as a reference to scientists and engineers involved in the analysis and design of feedback systems. The first version of this book was written in 1983, while I was teach­ ing at the Department of Systems Science and Mathematics at Washington University in St. Louis. This new edition integrates my subsequent teaching experience gained at the University of Illinois in Urbana-Champaign in 1987, at the Carl-Cranz Gesellschaft in Oberpfaffenhofen in 1987, at the University of California in Berkeley in 1988. In addition to a major rearrangement of the last two Chapters of the first version, this new edition incorporates two additional Chapters at a more elementary level and an exposition of some relevant research findings which have occurred since 1985.Trade ReviewFrom the reviews: Isidori's book is essential for anyone preparing for serious reading or basic research in the differential geometric approach to control theory and will not disappoint those mathematically trained. I have observed its use in the hands of two teachers other than the author; the students enjoyed it and made good use of it later. There is no universal solvent for nonlinear control problems, but the methods presented here are powerful. IEEE Transactions on Automatic Control 43 (1997) 1043-1044 (Reviewer: David L. Elliott) Table of Contents1. Local Decompositions of Control Systems.- 2. Global Decompositions of Control Systems.- 3. Input-Output Maps and Realization Theory.- 4. Elementary Theory of Nonlinear Feedback for Single-Input Single-Output Systems.- 5. Elementary Theory of Nonlinear Feedback for Multi-Input Multi-Output Systems.- 6. Geometric Theory of State Feedback: Tools.- 7. Geometric Theory of Nonlinear Systems: Applications.- 8. Tracking and Regulation.- 9. Global Feedback Design for Single-Input Single-Output Systems.- A. Appendix A.- A.1 Some Facts from Advanced Calculus.- A.2 Some Elementary Notions of Topology.- A.3 Smooth Manifolds.- A.4 Submanifolds.- A.5 Tangent Vectors.- A.6 Vector Fields.- B. Appendix B.- B.1 Center Manifold Theory.- B.2 Some Useful Properties.- B.3 Local Geometric Theory of Singular Perturbations.- Bibliographical Notes.- References.

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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 SynopsisIn the third edition of this classic the chapter on quantum Marcov processes has been replaced by a chapter on numerical treatment of stochastic differential equations to make the book even more valuable for practitioners.Trade ReviewFrom the reviews of the fourth edition:“This is the fourth edition of a textbook intended for everyone interested in practising stochastic processes. … this fourth one is ‘thoroughly revised and augmented, and has been completely reset. … this new edition is designed to cater better for the wider readership as well as to those [he] originally had in mind’. … The bibliography is well presented, with a list of the references cited in each chapter, a commented global bibliography and an author index.” (Yves Elskens, Belgian Physical Society Magazine, Issue 2, 2012)Table of ContentsA Historical Introduction.- Probability Concepts.- Markov Processes.- The Ito Calculus and Stochastic Differential Equations.- The Fokker-Planck Equation.- The Fokker-Planck Equation in Several Dimensions.- Small Noise Approximations for Diffusion Processes.- The White Noise Limit.- Beyond the White Noise Limit.- Lévy Processes and Financial Applications.- Master Equations and Jump Processes.- The Poisson Representation.- Spatially Distributed Systems.- Bistability, Metastability, and Escape Problems.- Simulation of Stochastic Differential Equations.

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Book Synopsis This monograph presents a variety of techniques that can be used for designing robust fault diagnosis schemes for non-linear systems. The introductory part of the book is of a tutorial value and can be perceived as a good starting point for the new-comers to this field. Subsequently, advanced robust observer structures are presented. Parameter estimation based techniques are discussed as well. A particular attention is drawn to experimental design for fault diagnosis. The book also presents a number of robust soft computing approaches utilizing evolutionary algorithms and neural networks. All approaches described in this book are illustrated by practical applications.Trade ReviewFrom the reviews: "The book treats a class of nonlinear discrete-time models for dynamical systems and presents further developments of the author’s research on nonlinear system identification and fault detection … . It is intended for researchers, engineers and advanced postgraduate students in control, computer science and related engineering fields." (Alexander V. Nazin, Mathematical Reviews, Issue 2008 d)Table of ContentsI. Principles of Fault Diagnosis.- Analytical Techniques-Based FDI.- Soft Computing-Based FDI.- II. State and Parameter Estimation Strategies.- State Estimation Techniques for FDI.- Parameter Estimation-Based FDI.- III. Soft Computing Strategies.- Evolutionary Algorithms.- Neural Networks.- Conclusions and Future Research Directions.

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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 SynopsisIn the third edition of this classic the chapter on quantum Marcov processes has been replaced by a chapter on numerical treatment of stochastic differential equations to make the book even more valuable for practitioners.Trade ReviewFrom the reviews of the fourth edition:“This is the fourth edition of a textbook intended for everyone interested in practising stochastic processes. … this fourth one is ‘thoroughly revised and augmented, and has been completely reset. … this new edition is designed to cater better for the wider readership as well as to those [he] originally had in mind’. … The bibliography is well presented, with a list of the references cited in each chapter, a commented global bibliography and an author index.” (Yves Elskens, Belgian Physical Society Magazine, Issue 2, 2012)Table of ContentsA Historical Introduction.- Probability Concepts.- Markov Processes.- The Ito Calculus and Stochastic Differential Equations.- The Fokker-Planck Equation.- The Fokker-Planck Equation in Several Dimensions.- Small Noise Approximations for Diffusion Processes.- The White Noise Limit.- Beyond the White Noise Limit.- Lévy Processes and Financial Applications.- Master Equations and Jump Processes.- The Poisson Representation.- Spatially Distributed Systems.- Bistability, Metastability, and Escape Problems.- Simulation of Stochastic Differential Equations.

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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 SynopsisSociety is complicated. But this book argues that this does not place it beyond the reach of a science that can help to explain and perhaps even to predict social behaviour. As a system made up of many interacting agents – people, groups, institutions and governments, as well as physical and technological structures such as roads and computer networks – society can be regarded as a complex system. In recent years, scientists have made great progress in understanding how such complex systems operate, ranging from animal populations to earthquakes and weather. These systems show behaviours that cannot be predicted or intuited by focusing on the individual components, but which emerge spontaneously as a consequence of their interactions: they are said to be ‘self-organized’. Attempts to direct or manage such emergent properties generally reveal that ‘top-down’ approaches, which try to dictate a particular outcome, are ineffectual, and that what is needed instead is a ‘bottom-up’ approach that aims to guide self-organization towards desirable states.This book shows how some of these ideas from the science of complexity can be applied to the study and management of social phenomena, including traffic flow, economic markets, opinion formation and the growth and structure of cities. Building on these successes, the book argues that the complex-systems view of the social sciences has now matured sufficiently for it to be possible, desirable and perhaps essential to attempt a grander objective: to integrate these efforts into a unified scheme for studying, understanding and ultimately predicting what happens in the world we have made. Such a scheme would require the mobilization and collaboration of many different research communities, and would allow society and its interactions with the physical environment to be explored through realistic models and large-scale data collection and analysis. It should enable us to find new and effective solutions to major global problems such as conflict, disease, financial instability, environmental despoliation and poverty, while avoiding unintended policy consequences. It could give us the foresight to anticipate and ameliorate crises, and to begin tackling some of the most intractable problems of the twenty-first century.Trade ReviewFrom the reviews:“Phil Ball’s little book is one of the best summaries I have come across on complexity theory and its applications. This little triumph of clarity argues that society’s problems are those of highly connected systems. … Nice gentle text. If are a newcomer to complexity sciences, then read this first.” (Urban Models + Spatial Complexity + Smart Cities, August, 2012)Table of ContentsSociety: a Complex Problem.- On the Road: Predicting traffic.- Every Move You Make: Patterns of crowd movement.- Making Your Mind Up: Norms and decisions.- Broken Windows: The spread and control of crime.- The Social Web: Networks and their failures.- Spreading It Around: Mobility, disease and epidemics.- After the Crash: Economic and financial systems.- Love Thy Neighbour: How to foster cooperation.- Living Cities: Urban development as a complex system.- The Transformation of War: Modelling modern conflict.- Towards a Living Earth Simulator: The FuturICT Project.

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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 study of dynamical systems is a well established field. This book provides a panorama of several aspects of interest to mathematicians and physicists. It collects the material of several courses at the graduate level given by the authors, avoiding detailed proofs in exchange for numerous illustrations and examples. Apart from common subjects in this field, a lot of attention is given to questions of physical measurement and stochastic properties of chaotic dynamical systems.Trade ReviewFrom the reviews: "The book is a good introduction to the field of dynamical systems with a particular emphasis on statistical properties and applications. In particular, the relations both with real experiments with numerical simulations are discussed. … The book contains many figures that really help the understanding of the text. The book can be used as a text for an introductory course in dynamical systems (at the master’s or Ph.D. level). It is particularly suited for students with interests in applications (either physics, economy or biology)." (Carlangelo Liverani, Mathematical Reviews, Issue 2007 m) "Two thoughts crossed my mind when I picked up this book. The first was: ‘what a physically attractive book.’ The second was: ‘what a short book to have on such a wide ranging topic.’ … It is a perfect size to carry in a knapsack, the print is clear and the layout of text, equations, and figures is marvelously done. … images are multi-colored stereo images, and allow the reader to ‘see’ a three dimensional effect that helps illustrate the phenomena." (David S. Mazel, MathDL, December, 2007)Table of ContentsA Basic Problem.- Dynamical Systems.- Topological Properties.- Hyperbolicity.- Invariant Measures.- Entropy.- Statistics and Statistical Mechanics.- Other Probabilistic Results.- Experimental Aspects.

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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 SynopsisDieses Tutorial hilft nicht nur Ingenieuren und Naturwissenschaftlern beim schnellen Einstieg und der Vertiefung in die Programmierung mit C++. Kommentierte Aufgaben, lebensnahe Beispiele und eine kompakte sowie systematische Struktur zeichnen dieses Buch aus.Table of ContentsGrundlagen.- Erste Schritte und strukturiertes Programmieren.- Prozedurales Programmieren.- Funktionen.- Algorithmen.- Modulares Programmieren.- Objektorientiertes Programmieren.- Klassen - Grundlagen.- Klassen - Vererbung und Polymorphie.- Generisches Programmieren: Templates.- Ausnahmebehandlungen.

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Book SynopsisAngriffe aus den eigenen Reihen durch sogenannte Innentäter sind für Unternehmen nur schwer zu erkennen. Unter Innentätern versteht man Personen, die in Unternehmen oder Organisationen vorsätzlich dolose Handlungen vornehmen. Ihnen fällt es aufgrund ihres Wissens über Interna leichter, etablierte Schutzmaßnahmen zu überwinden. Unternehmensinhaber trifft im Rahmen des mehrdeutigen Begriffs unternehmerischer Compliance auch eine Pflicht, in ihrem Betrieb für regelgetreues Verhalten der Beschäftigten zu sorgen. Es besteht insofern ein Spannungsverhältnis zwischen dem Recht auf informationelle Selbstbestimmung des Beschäftigten, welches durch das Datenschutzrecht geschützt wird, und der Pflicht des Arbeitgebers, in seinem Unternehmen für rechtskonformes Verhalten zu sorgen. Gegenstand des Buchs ist daher die Frage, welche Konsequenzen die Datenschutz-Grundverordnung sowie die Gesetzgebung auf nationalstaatlicher Ebene für den Beschäftigtendatenschutz im Allgemeinen sowie für die Umsetzung der neuen Anforderungen bei unternehmensinternen Compliance-Maßnahmen hat.Table of ContentsEinführung.- Bedeutung von compliance im unternehmen.- Screenings auf basis der anomalieerkennung.- Rechtlicher rahmen für maßnahmen der mitarbeiterüberwachung im rahmen unternehmerischer compliance auf ebene der grundrechte sowie der emrk.- Regelung des beschäftigtendatenschutzes nach der dsgvo.- Allgemeine anforderungen der dsgvo und des bdsg an anomaliebasierte screenings von mitarbeitern.- Beweisverwertung vor den arbeitsgerichten.- Mitbestimmung des betriebsrats.- Fazit

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Table of ContentsLattice gauge theories.- Continuum gauge quantum field theories.

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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 text presents the mathematical concepts of Grassmann variables and the method of supersymmetry to a broad audience of physicists interested in applying these tools to disordered and critical systems, as well as related topics in statistical physics. Based on many courses and seminars held by the author, one of the pioneers in this field, the reader is given a systematic and tutorial introduction to the subject matter. The algebra and analysis of Grassmann variables is presented in part I. The mathematics of these variables is applied to a random matrix model, path integrals for fermions, dimer models and the Ising model in two dimensions. Supermathematics - the use of commuting and anticommuting variables on an equal footing - is the subject of part II. The properties of supervectors and supermatrices, which contain both commuting and Grassmann components, are treated in great detail, including the derivation of integral theorems. In part III, supersymmetric physical models are considered. While supersymmetry was first introduced in elementary particle physics as exact symmetry between bosons and fermions, the formal introduction of anticommuting spacetime components, can be extended to problems of statistical physics, and, since it connects states with equal energies, has also found its way into quantum mechanics. Several models are considered in the applications, after which the representation of the random matrix model by the nonlinear sigma-model, the determination of the density of states and the level correlation are derived. Eventually, the mobility edge behavior is discussed and a short account of the ten symmetry classes of disorder, two-dimensional disordered models, and superbosonization is given.Trade Review“This volume of Lecture Notes in Physics presents in three parts the topics of Grassmann algebra and its applications and the subject of supermathematics, where commuting and anticommuting variables are treated on equal footing, and its applications. … it may be of interest to those already in the field who want to expand their knowledge in both the underlying mathematics and its applications in physics.” (Moorad Alexanian, Mathematical Reviews, January, 2017)“Each chapter contains a set of illustrating problems supplied with answers in the book's end. Thus, this monograph can be used for practical teaching as well.” (Eugene Postnikov, zbMATH 1345.81003, 2016)Table of ContentsPart I Grassmann Variables and Applications.- Part II Supermathematics.- Part III Supersymmetry in Statistical Physics.- Summary and Additional Remarks.- References.- Solutions.- Index.

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Book SynopsisDas Lehrbuch richtet sich vor allem an Studierende technischer Studiengänge an Hochschulen, Fachhochschulen und Berufsakademien. Die komplexen Konzepte und Zusammenhänge der Signal- und Systemtheorie werden in anschaulichen, nachvollziehbaren Schritten dargestellt. Den Kern bilden dabei die Grundlagen zur mathematischen Beschreibung im Zeit- und Frequenzbereich linearer, zeitinvarianter Systeme. Durch den Verzicht auf unnötige mathematische Beweisführungen und Herleitungen werden die Inhalte kurz und prägnant erläutert. Übungsaufgaben mit Lösungen erleichtern Selbststudium und Prüfungsvorbereitung.Table of ContentsEinführung in Signale und Systeme – Zeitkontinuierliche Signale – Laplace-Transformation – Fourier-Transformation – Frequenzgang

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Book SynopsisThis book provides a theoretical, step-by-step comprehensive explanation of superconductivity for undergraduate and graduate students who have completed elementary courses on thermodynamics and quantum mechanics. To this end, it adopts the unique approach of starting with the statistical mechanics of quantum ideal gases and successively adding and clarifying elements and techniques indispensible for understanding it. They include the spin-statistics theorem, second quantization, density matrices, the Bloch–De Dominicis theorem, the variational principle in statistical mechanics, attractive interaction and bound states. Ample examples of their usage are also provided in terms of topics from advanced statistical mechanics such as two-particle correlations of quantum ideal gases, derivation of the Hartree–Fock equations, and Landau’s Fermi-liquid theory, among others. With these preliminaries, the fundamental mean-field equations of superconductivity are derived with maximum mathematical clarity based on a coherent state in terms of the Cooper-pair creation operator, a quasiparticle field for describing the excitation and the variational principle in statistical mechanics. They have the advantage that the phase coherence due to the Cooper-pair condensation can be clearly seen making the superfluidity comprehensible naturally. Subsequently, they are applied to homogeneous cases to describe the BCS theory for classic s-wave superconductors and its extension to the p-wave superfluidity of 3He. Later, the mean-field equations are simplified to the Eilenberger and Ginzburg–Landau equations so as to describe inhomogeneous superconductivity such as Abrikosov’s flux-line lattice concisely and transparently. Chapters provide the latest studies on the quasiclassical theory of superconductivity and a discovery of p-wave superfluidity in liquid 3He. The book serves as a standard reference for advanced courses of statistical mechanics with exercises along with detailed answers.Table of ContentsReview of Thermodynamics.- Basics of Equilibrium Statistical Mechanics.- Quantum Mechanics of Identical Particles.- Statistical Mechanics of Ideal Gases.- Density Matrices and Two-Particle Correlations.- Hartree–Fock Equations and Landau’s Fermi-liquid theory.- Attractive Interaction and Bound States.- Mean-Field Equations of Superconductivity.- BCS Theory.- Superfluidity, Meissner Effect, and Flux Quantization.- Responses to External Perturbations.- Tunneling, Density of States, and Josephson Effect.- P-Wave Superfluidity.- Gor’kov, Eilenberger, and Ginzburg–Landau Equations.- Abrikosov’s Flux-Line Lattice.- Surfaces and Vortex Cores.- Solutions to Problems.

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Book SynopsisThis practical book introduces open-source intelligence (OSINT) and explores how it can be executed in different intelligence scenarios. It covers varying supporting topics, such as online tracking techniques, privacy best practices for OSINT researchers, and practical examples of OSINT investigations. The book also delves into the integration of artificial intelligence (AI) and machine learning (ML) in OSINT, social media intelligence methodologies, and the unique characteristics of the surface web, deep web, and dark web.Open-source intelligence (OSINT) is a powerful tool that leverages publicly available data for security purposes. OSINT derives its value from various sources, including the internet, traditional media, academic publications, corporate papers, and geospatial information.Further topics include an examination of the dark web''s uses and potential risks, an introduction to digital forensics and its methods for recovering and analyzing digital evidence, and the crucial role of OSINT in digital forensics investigations. The book concludes by addressing the legal considerations surrounding the use of the information and techniques presented.This book provides a comprehensive understanding of CTI, TI, and OSINT. It sets the stage for the best ways to leverage OSINT to support different intelligence needs to support decision-makers in today''s complex IT threat landscape.

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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 SynopsisThis thesis deals with specific features of the theory of holomorphic dynamics in dimension 2 and then sets out to study analogous questions in higher dimensions, e.g. dealing with normal forms for rigid germs, and examples of Kato 3-folds.The local dynamics of holomorphic maps around critical points is still not completely understood, in dimension 2 or higher, due to the richness of the geometry of the critical set for all iterates.In dimension 2, the study of the dynamics induced on a suitable functional space (the valuative tree) allows a classification of such maps up to birational conjugacy, reducing the problem to the special class of rigid germs, where the geometry of the critical set is simple. In some cases, from such dynamical data one can construct special compact complex surfaces, called Kato surfaces, related to some conjectures in complex geometry.Table of ContentsIntroduction.-1.Background.- 2.Dynamics in 2D.- 3.Rigid germs in higher dimension.- 4 Construction of non-Kahler 3-folds.- References.- Index.

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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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