Dynamics and statics Books

Book SynopsisThis is an advanced textbook on the subject of turbulence, and is suitable for engineers, physical scientists and applied mathematicians. The aim of the book is to bridge the gap between the elementary accounts of turbulence found in undergraduate texts, and the more rigorous monographs on the subject. Throughout, the book combines the maximum of physical insight with the minimum of mathematical detail. Chapters 1 to 5 may be appropriate as background material for an advanced undergraduate or introductory postgraduate course on turbulence, while chapters 6 to 10 may be suitable as background material for an advanced postgraduate course on turbulence, or act as a reference source for professional researchers.This second edition covers a decade of advancement in the field, streamlining the original content while updating the sections where the subject has moved on. The expanded content includes large-scale dynamics, stratified & rotating turbulence, the increased power of direct numerical simulation, two-dimensional turbulence, Magnetohydrodynamics, and turbulence in the core of the EarthTable of ContentsTHE CLASSICAL PICTURE OF TURBULENCE; FREELY-DECAYING, HOMOGENEOUS TURBULENCE; SPECIAL TOPICS

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Book SynopsisA comprehensive introduction to modern applied statistical genetic data analysis, accessible to those without a background in molecular biology or genetics.Human genetic research is now relevant beyond biology, epidemiology, and the medical sciences, with applications in such fields as psychology, psychiatry, statistics, demography, sociology, and economics. With advances in computing power, the availability of data, and new techniques, it is now possible to integrate large-scale molecular genetic information into research across a broad range of topics. This book offers the first comprehensive introduction to modern applied statistical genetic data analysis that covers theory, data preparation, and analysis of molecular genetic data, with hands-on computer exercises. It is accessible to students and researchers in any empirically oriented medical, biological, or social science discipline; a background in molecular biology or genetics is not required.The book first pro

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Book SynopsisThe digital twin of a physical system is an adaptive computer analog which exists in the cloud and adapts to changes in the physical system dynamically. This book introduces the computing, mathematical, and engineering background to understand and develop the concept of the digital twin. It provides background in modeling/simulation, computing technology, sensor/actuators, and so forth, needed to develop the next generation of digital twins. Concepts on cloud computing, big data, IoT, wireless communications, high-performance computing, and blockchain are also discussed. Features: Provides background material needed to understand digital twin technology Presents computational facet of digital twin Includes physics-based and surrogate model representations Addresses the problem of uncertainty in measurements and modeling Discusses practical case studies of implementati

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Book SynopsisCollected in this volume are nineteen selected contributions written by twenty-six scholars in the field, in honour of their teacher and colleague, Professor Joseph Marin.Latest developments in the following specific fields are presented: Mathematical Inference from Mechanics, Elasticity, Cosserat Continua, Elastic Waves, Hypervelocity Impact, Composite Materials, Viscoelasticity, Plasticity, Creep, Relaxation, Low Cycle Fatigue, Crack Formation, Fracture, Pressure Vessel and Extrusion Die Design. The volume is a valuable and original contribution to engineering literature and will be of interest not only to engineers, but also to mathematicians and physicists.Dr. Joseph Marin led a life-long campaign for the introduction of the term Mechanics of the Solid State as a worthy companion of Physics of the Solid State. In fulfillment of his wish and in honour of his memory the present volume has been named Mechanics of the Solid State. It provides a list of the 162 papers a

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Book SynopsisThis book outlines the unparalleled potential of NMR relaxation experiments to elucidate molecular dynamics for undergraduates to academics and those in industry.

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Book SynopsisThis 2007 textbook presents quantum field theoretical applications to systems out of equilibrium, using both the mathematical canonical way of studying non-equilibrium states, and Feynman diagrams. Complete with numerous exercises for self-study, this textbook is suitable for graduate students in statistical mechanics and condensed matter physics.Trade ReviewReview of the hardback: 'The information is there, well presented and comprehensive… ' Contemporary PhysicsTable of ContentsPreface; 1. Quantum fields; 2. Operators on the multi-particle state space; 3. Quantum dynamics and Green's functions; 4. Non-equilibrium theory; 5. Real-time formalism; 6. Linear response theory; 7. Quantum kinetic equations; 8. Non-equilibrium superconductivity; 9. Diagrammatics and generating functionals; 10. Effective action; 11. Disordered conductors; 12. Classical statistical dynamics; Appendices: A. Path integrals; B. Retarded and advanced propagators; C. Analytic properties of Green's functions; Bibliography; Index.

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Book SynopsisAlthough now replaced by more modern theories, classical mechanics remains a core foundational element of physical theory. From its inception, the theory of dynamics has been riddled with conceptual issues and differing philosophical interpretations and throughout its long historical development, it has shown subtle conceptual refinement. The interpretive program for the theory has also shown deep evolutionary change over time. Lawrence Sklar discusses crucial issues in the central theory from which contemporary foundational theories are derived and shows how some core issues (the nature of force, the place of absolute reference frames) have nevertheless remained deep puzzles despite the increasingly sophisticated understanding of the theory which has been acquired over time. His book will be of great interest to philosophers of science, philosophers in general and physicists concerned with foundational interpretive issues in their field.Trade Review'This work could be as influential in the 21st century as Ernst Mach's Die Mechanik (1901) was in the 20th, both in physics and philosophy … Highly recommended. Upper-division undergraduates, graduate students, and researchers/faculty.' P. D. Skiff, ChoiceTable of Contents1. Introduction; 2. The prehistory of classical dynamics; 3. The astronomical revolution; 4. Precursors to Newtonian dynamics; 5. The Newtonian synthesis; 6. Philosophical aspects of the Newtonian synthesis; 7. The history of statics; 8. The development of dynamics after Newton; 9. The 'Newtonian' approach after Newton; 10. From virtual work to Lagrange's equation; 11. Extremal principles; 12. Some philosophical reflections on explanation and theory; 13. Conservation principles; 14. Hamilton's equations; 15. Canonical transformations, optical analogies and algebraic structures; 16. The search for new foundations; 17. New directions in the applications of dynamics; 18. Spacetime formulations of Newtonian dynamics; 19. Formalizations: mass and force; 20. Relationist dynamics; 21. Modes of explanation; 22. Retrospective and conclusions.

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Book SynopsisSurveys and research articles based on a 2004 MRSI research workshop, plus a commented problem list by leading experts cover several areas of dynamical systems that have recently experienced substantial progress, including symplectic geometry; smooth rigidity; hyperbolic, parabolic, and symbolic dynamics; and ergodic theory.Table of ContentsForeword; 1. Quantitative symplectic geometry K. CIELIEBAK, HELMUT HOFER, J. LATSCHEV, aND F. SCHLENK; 2. Local rigidity of group actions: past, present, future David Fisher; 3. Le lemme d'Ornstein–Weiss d'après Gromov Fabrice Krieger; 4. Entropy of holomorphic and rational maps: a survey Shmuel Friedland; 5. Causes of stretching of Birkhoff sums and mixing in flows on surfaces Andrey Kochergin; 6. Solenoid functions for hyperbolic sets on surfaces Alberto A. Pinto and David A. Rand; 7. Random walks derived from billiards Renato Feres; 8. An aperiodic tiling using a dynamical system and Beatty sequences Stanley Eigen, Jorge Navarro, and Vidhu S. Prasad; 9. A Halmos–von Neumann theorem for model sets, and almost automorphic dynamical systems E. Arthur Robinson Jr.; 10. Problems in dynamical systems and related topics Boris Hasselblatt.

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Book SynopsisAn in-depth account on the effect of complex connectivity patterns on dynamical phenomena, this book will interest graduate students and researchers in many disciplines, from physics and statistical mechanics to mathematical biology and information science. Its modular approach allows readers to easily access the sections of most interest to them.Trade ReviewReview of the hardback: 'With a focus in dynamical processes, this book is an excellent introduction … on the statistical mechanics approach of networks … Not only [does] it consist of a wide array of commonly used techniques in the discipline but also it provides multitudes of the techniques' applied examples … this book could serve as an introduction book and a reference to new-to-the-topic JASSS readers. To conclude, I believe that this book has contributed another step in integrating the vast multidisciplinary approaches in network science.' Journal of Artificial Societies and Social SimulationReview of the hardback: '… the book does a terrific and admirable job at putting some order into the wealth of research that has emerged during the last decade … a fantastic resource book on dynamical processes on complex networks, and its wide scope promises to keep it relevant for several years to come.' Journal of Statistical PhysicsReview of the hardback: '… a very useful book that fills an important gap in the market of books on networks … I will be opening this book whenever I want to start modelling a dynamical process on a network.' Contemporary Physics'The book does a remarkably good job in getting to the mathematical foundations of dynamical processes and complex networks. Hence, it should belong in the bookshelf of any sociologist who is seriously interested in complex and dynamic networks. It gives a great overview of techniques in the field and provides the mathematical depth one wishes for in a manner sociologists can understand. In sum, the book has potential to become a reference like Wasserman and Faust (1994) and offers significant (technical) value to sociologists who seriously want to get into the mathematics behind dynamical processes and complex networks.' Thomas U. Grund, Journal of Mathematical SociologyTable of ContentsPreface; Acknowledgements; List of abbreviations; 1. Preliminaries: networks and graphs; 2. Networks and complexity; 3. Network models; 4. Introduction to dynamical processes: theory and simulation; 5. Phase transitions on complex networks; 6. Resilience and robustness of networks; 7. Synchronization phenomena in networks; 8. Walking and searching on networks; 9. Epidemic spreading in population networks; 10. Social networks and collective behavior; 11. Traffic on complex networks; 12. Networks in biology: from the cell to ecosystems; 13. Postface: critically examining complex networks science; Appendixes; References; Index.

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Book SynopsisThe theory of dynamics is riddled with conceptual issues and differing philosophical interpretations. This book discusses the crucial issues of the main theory from which contemporary foundational theories are derived. It will interest philosophers of science, philosophers in general and physicists concerned with foundational interpretive issues in their field.Trade Review'This work could be as influential in the 21st century as Ernst Mach's Die Mechanik (1901) was in the 20th, both in physics and philosophy … Highly recommended. Upper-division undergraduates, graduate students, and researchers/faculty.' P. D. Skiff, ChoiceTable of Contents1. Introduction; 2. The prehistory of classical dynamics; 3. The astronomical revolution; 4. Precursors to Newtonian dynamics; 5. The Newtonian synthesis; 6. Philosophical aspects of the Newtonian synthesis; 7. The history of statics; 8. The development of dynamics after Newton; 9. The 'Newtonian' approach after Newton; 10. From virtual work to Lagrange's equation; 11. Extremal principles; 12. Some philosophical reflections on explanation and theory; 13. Conservation principles; 14. Hamilton's equations; 15. Canonical transformations, optical analogies and algebraic structures; 16. The search for new foundations; 17. New directions in the applications of dynamics; 18. Spacetime formulations of Newtonian dynamics; 19. Formalizations: mass and force; 20. Relationist dynamics; 21. Modes of explanation; 22. Retrospective and conclusions.

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Book SynopsisStarting with the basics of Hamiltonian dynamics, this text follows the historical development of the theory culminating in key recent results: Kolmogorov's theorem, Nekhoroshev's theorem and superexponential stability. Students will find a plain introduction to perturbation methods, allowing them to learn the advanced material.Trade Review'The classical mechanics of systems of finitely many point particles belongs to the bedrock of theoretical physics every physicist has to be familiar with. Giorgilli's book on Hamiltonian mechanics is a treasure chest. It conveys the author's profound knowledge of the history of the subject and provides a pedagogical exposition of the basic mathematical techniques. Very many important examples of systems are discussed, and the reader is guided towards fairly recent and new developments in this important subject. This book will become a classic.' Jürg Fröhlich, ETH Zürich'This is an impressive book by one of the protagonists of the modern theory of dynamical systems. It contains the basic steps of the Hamiltonian theory, but it emphasizes the modern developments of the theory that started with Poincaré and Birkhoff, reaching the study of chaos. The book has two important advantages: it gives the successive steps needed by a beginner who enters this field, up to its most recent developments, and it provides a remarkable historical account of the developments of the theory. Giorgilli introduced many new ideas in the theory of dynamical systems, but he presents the new developments in a systematic way without emphasizing his own contributions. This book will be of great value for anyone interested in dynamics, and it is absolutely necessary for any library in Physics, Astronomy and related fields.' George Contopoulos, Academy of Athens'This is a book that the reader will refer to over and over again: it provides a theoretical and practical framework for understanding Hamiltonian formalism and classical perturbation theory. It contains a readable complete proof of the most important results in the field (Kolmogorov-Arnold-Moser theorem and Nekhoroshev's theorem) as well as their applications to the fundamental problems of celestial mechanics. It also explains how small divisors are at the origin of the divergence of perturbation series and Poincaré's discovery of homoclinic intersections and of chaotic behavior in near-to-integrable systems. What a remarkably useful and exciting book!' Stefano Marmi, Scuola Normale Superiore, Pisa'This amazing book, written by a prominent master of the theory of Hamiltonian systems, is a wonderful gift for anyone interested in Classical Dynamics, from a novice student to a sophisticated expert. The author, together with the reader, goes from the definition of canonical equations to such shining peaks as the Kolmogorov theorem on invariant tori and the Nekhoroshev theorem on exponential stability (with complete proofs, and for each of these fundamental theorems two entirely different proofs are presented!). Carefully selected examples and exercises and historical digressions greatly facilitate learning the material and turn reading the book into an intellectual festivity.' Mikhail Sevryuk, Semenov Federal Research Center of Chemical Physics, Moscow'Giorgilli builds up the whole architecture of Hamiltonian Dynamics chapter by chapter in a delightful succession of ideas with many examples. This book will certainly become an essential reference for basic and for advanced courses and it will also be a source of inspiration for experts in the field.' Angel Jorba, University of Barcelona'This book is an excellent and exhaustive treatise on Hamiltonian systems aimed at both students and researchers, which collects in great detail the classical results and contains a very accurate description of the theory of perturbations. It is a reference book on constructive methods, which are successfully applied throughout the book in many examples, most notably those of Celestial Mechanics.' Amadeu Delshams, BarcelonaTechTable of Contents1. Hamiltonian formalism; 2. Canonical transformations; 3. Integrable systems; 4. First integrals; 5. Nonlinear oscillations; 6. The method of Lie series and of Lie transform; 7. The normal form of Poincaré and Birkhoff; 8. Persistence of invariant tori; 9. Long time stability; 10. Stability and chaos; A. The geometry of resonances; B. A quick introduction to symplectic geometry; References; Index.

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Book SynopsisIn this volume, Olga A. Ladyzhenskaya expands on her highly successful 1991 Accademia Nazionale dei Lincei lectures. The lectures were devoted to questions of the behaviour of trajectories for semigroups of nonlinear bounded continuous operators in a locally non-compact metric space and for solutions of abstract evolution equations. The latter contain many initial boundary value problems for dissipative partial differential equations. This work, for which Ladyzhenskaya was awarded the Russian Academy of Sciences'' Kovalevskaya Prize, reflects the high calibre of her lectures; it is essential reading for anyone interested in her approach to partial differential equations and dynamical systems. This edition, reissued for her centenary, includes a new technical introduction, written by Gregory A. Seregin, Varga K. Kalantarov and Sergey V. Zelik, surveying Ladyzhenskaya''s works in the field and subsequent developments influenced by her results.Trade Review'This booklet is a personal essay summarizing Ladyzhenskaya's views and her results. … Ladyzhenskaya has been a leading scholar in this area; she is a star and one should pay attention to what she says.' Jerome A. Goldstein, SIAM ReviewTable of ContentsPart I. Attractors for the Semigroups of Operators: 1. Basic notions; 2. Semigroups of class K; 3. Semigroups of class AK; 4. On dimensions of compact invariant sets; Part II: Semigroups Generated by Evolution Equations: 5. Introduction to Part II; 6. Estimates for the number of determining modes and the fractal dimension of bounded invariant sets for the Navier–Stokes equations; 7. Evolution equations of hyperbolic type; References; Index.

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