Classical mechanics Books
World Scientific Publishing Co Pte Ltd Modern Approach To Classical Mechanics, A
Book SynopsisIn this book we describe the evolution of Classical Mechanics from Newton's laws via Lagrange's and Hamilton's theories with strong emphasis on integrability versus chaotic behavior.In the second edition of the book we have added historical remarks and references to historical sources important in the evolution of classical mechanics.Table of ContentsBasic Considerations and Concepts; Fundamentals of Classical Mechanics; One-Dimensional Motion of a Particle; Encountering Peculiar Motion in Two Dimensions; Motion in a Central Force; The Gravitational Interaction of Two Bodies; Collisions of Particles; Scattering; Changing the Frame of Reference; Lagrangian Mechanics; Conservation Laws and Symmetries in Many Particle Systems; The Rigid Body; Small Oscillations; Hamilton's Canonical Formulation of Mechanics; Hamilton-Jacobi Theory; Three-body Systems; Approximating Non-Integrable Systems;
£45.60
World Scientific Publishing Co Pte Ltd Classical And Computational Solid Mechanics
Book SynopsisThe second edition provides an update of the recent developments in classical and computational solid mechanics. The structure of the book is also updated to include five new areas: Fundamental Principles of Thermodynamics and Coupled Thermoelastic Constitutive Equations at Large Deformations, Functional Thermodynamics and Thermoviscoelasticity, Thermodynamics with Internal State Variables and Thermo-Elasto-Viscoplasticity, Electro-Thermo-Viscoelasticity/Viscoplasticity, and Meshless Method. These new topics are added as self-contained sections or chapters. Many books in the market do not cover these topics.This invaluable book has been written for engineers and engineering scientists in a style that is readable, precise, concise, and practical. It gives the first priority to the formulation of problems, presenting the classical results as the gold standard, and the numerical approach as a tool for obtaining solutions.Table of ContentsIntroduction; Tensor Analysis; Stress Tensor; Analysis of Strain; Conservation Laws; Elastic and Plastic Behavior of Materials; Linearized Theory of Elasticity; Solutions of Problems in Linearized Theory of Elasticity by Potentials; Two-Dimensional Problems in Linearized Theory of Elasticity; Variational Calculus, Energy Theorems, Saint-Venant's Principle; Hamilton's Principle, Wave Propagation, Applications of Generalized Coordinates; Elasticity and Thermodynamics; Finite Element Methods; Mixed and Hybrid Formulations; Finite Element Methods for Plates and Shells; Functional Thermodynamics and Thermoviscoelasticity; Thermodynamics with Internal State Variables and Thermoviscoplasticity; Electro-Thermo-Viscoelasticity/Viscoplasticity; Meshless Method;
£133.20
World Scientific Publishing Co Pte Ltd Classical Dynamics: A Modern Perspective
Book SynopsisClassical dynamics is traditionally treated as an early stage in the development of physics, a stage that has long been superseded by more ambitious theories. Here, in this book, classical dynamics is treated as a subject on its own as well as a research frontier. Incorporating insights gained over the past several decades, the essential principles of classical dynamics are presented, while demonstrating that a number of key results originally considered only in the context of quantum theory and particle physics, have their foundations in classical dynamics.Graduate students in physics and practicing physicists will welcome the present approach to classical dynamics that encompasses systems of particles, free and interacting fields, and coupled systems. Lie groups and Lie algebras are incorporated at a basic level and are used in describing space-time symmetry groups. There is an extensive discussion on constrained systems, Dirac brackets and their geometrical interpretation. The Lie-algebraic description of dynamical systems is discussed in detail, and Poisson brackets are developed as a realization of Lie brackets. Other topics include treatments of classical spin, elementary relativistic systems in the classical context, irreducible realizations of the Galileo and Poincaré groups, and hydrodynamics as a Galilean field theory. Students will also find that this approach that deals with problems of manifest covariance, the no-interaction theorem in Hamiltonian mechanics and the structure of action-at-a-distance theories provides all the essential preparatory groundwork for a passage to quantum field theory.This reprinting of the original text published in 1974 is a testimony to the vitality of the contents that has remained relevant over nearly half a century.Table of ContentsIntroduction: Newtonian Mechanics; Generalized Coordinates and Lagrange's Equations; The Hamilton and Weiss Variational Principles and the Hamilton Equations of Motion; The Relation Between the Lagrangian and the Hamilton Descriptions; Invariance Properties of the Lagrangian & Hamiltonian Descriptions, Poisson and Lagrange Brackets, and Canonical Transformations; Group Properties and Methods of Constructing Canonical Transformations; Invariant Measures in Phase Space and Various Forms of Development in Time; Theory of Systems with Constraints; The Generalized Poisson Bracket and Its Applications; Dynamical Systems with Infinitely Many Degrees of Freedom and Theory of Fields; Linear and Angular Momentum Dynamical Variables and Their Significance; Sets, Topological Spaces, Groups; Lie Groups and Lie Algebras; Realizations of Lie Groups and Lie Algebras; Some Important Lie Groups and Their Lie Algebras; Relativistic Symmetry in the Hamiltonian Formalism; The Three-Dimensional Rotation Group; The Three-Dimensional Euclidean Group; The Galilei Group; The Poincare Group; Manifest Covariance in Hamiltonian Mechanics; Relativistic Action-at-a-Distance Theories; Conclusion; Index;
£86.45
World Scientific Publishing Co Pte Ltd Lesson For The Future Of Our Science, A: My
Book SynopsisThis unique volume contains a tribute to Lord Patrick M S Blackett through the testimony of Professor Antonino Zichichi, who was one of Blackett's pupils in the experiment at the Sphinx Observatory, Europe's highest lab (3580 meters a.s.l.), at Jungfraujoch. The book presents an overview of Blackett's most significant discoveries, such as the so called 'vacuum polarization' effect, the first example of 'virtual physics' and the 'strange particles', that opened a new horizon towards the existence of the subnuclear universe. After discussing the profound implications of Blackett's pioneering contributions to Subnuclear Physics, the book also recalls his deep interest in the promotion of scientific culture. Blackett was firmly convinced that physicists must be engaged directly to let the people outside our labs know what the role of science is in the progress of our civilisation. In particular, according to Blackett and his friend Bertrand Russell, the Manhattan Project was the example of how the new frontiers of science and technology would have been implemented in the future. In this respect, the role of dedicated institutions is discussed, as a new bridge between traditional university teaching and the big projects for the future of science and technology.Table of ContentsThe Reasons Why This Book Has Been Written; An Incredible Sequence of Unexpected Events; Blackett and the Origin of The Subnuclear Universe; Blackett and Russell (Galilei, Einstein, Godel); The "Blackett Effect" in the 2nd World War; Blackett and the Whole of Our Knowledge Including Virtual History and the Three Big Bangs; New Institutions Founded; Memory is Needed for the Future; The Future; Conclusions - From Blackett to Present Day Physics; The View Which Enchanted Professor Blackett; References;
£21.85
World Scientific Publishing Co Pte Ltd Lesson For The Future Of Our Science, A: My
Book SynopsisThis unique volume contains a tribute to Lord Patrick M S Blackett through the testimony of Professor Antonino Zichichi, who was one of Blackett's pupils in the experiment at the Sphinx Observatory, Europe's highest lab (3580 meters a.s.l.), at Jungfraujoch. The book presents an overview of Blackett's most significant discoveries, such as the so called 'vacuum polarization' effect, the first example of 'virtual physics' and the 'strange particles', that opened a new horizon towards the existence of the subnuclear universe. After discussing the profound implications of Blackett's pioneering contributions to Subnuclear Physics, the book also recalls his deep interest in the promotion of scientific culture. Blackett was firmly convinced that physicists must be engaged directly to let the people outside our labs know what the role of science is in the progress of our civilisation. In particular, according to Blackett and his friend Bertrand Russell, the Manhattan Project was the example of how the new frontiers of science and technology would have been implemented in the future. In this respect, the role of dedicated institutions is discussed, as a new bridge between traditional university teaching and the big projects for the future of science and technology.Table of ContentsThe Reasons Why This Book Has Been Written; An Incredible Sequence of Unexpected Events; Blackett and the Origin of The Subnuclear Universe; Blackett and Russell (Galilei, Einstein, Godel); The "Blackett Effect" in the 2nd World War; Blackett and the Whole of Our Knowledge Including Virtual History and the Three Big Bangs; New Institutions Founded; Memory is Needed for the Future; The Future; Conclusions - From Blackett to Present Day Physics; The View Which Enchanted Professor Blackett; References;
£45.60
Springer Nature Switzerland AG A Systematic Approach to Electrodynamics
Book Synopsis
£62.99
World Scientific Publishing Company From Galileo To Einstein Starting On A Journey In
Book Synopsis
£85.50
World Scientific Publishing Co Pte Ltd Colourful Views Of Stability And Chaos
Book Synopsis
£96.54
Society for Industrial & Applied Mathematics,U.S. Mathematical Elasticity, Volume I:
Book SynopsisThe Mathematical Elasticity set contains three self-contained volumes that together provide the only modern treatise on elasticity. They introduce contemporary research on three-dimensional elasticity, the theory of plates, and the theory of shells. Each volume contains proofs, detailed surveys of all mathematical prerequisites, and many problems for teaching and self-study. An extended preface and extensive bibliography have been added to each volume to highlight the progress that has been made since the original publication.The first book, Three-Dimensional Elasticity, covers the modeling and mathematical analysis of nonlinear three-dimensional elasticity. In volume two, Theory of Plates, asymptotic methods provide a rigorous mathematical justification of the classical two-dimensional linear plate and shallow shell theories. The objective of Theory of Shells, the final volume, is to show how asymptotic methods provide a rigorous mathematical justification of the classical two-dimensional linear shell theories: membrane, generalized membrane, and flexural.These classic textbooks are for advanced undergraduates, first-year graduate students, and researchers in pure or applied mathematics or continuum mechanics. They are appropriate for courses in mathematical elasticity, theory of plates and shells, continuum mechanics, computational mechanics, and applied mathematics in general.
£83.30
Springer Advanced Problems in Mechanics
Book SynopsisFluid mechanics.- Nano, micro and mesomechanics.- Phase transitions and nonlinear elasticity.- Solids and structures.- Mechanical and civil engineering applications.- Nonlinear and multibody dynamics, chaos and vibration.- Heat transfer and wave motion.- Biomechanics.- Mathematical modeling in petroleum engineering.
£107.99
Springer Fachmedien Wiesbaden Mechanik: Lehrbuch zur Theoretischen Physik I
Book SynopsisDas vorliegende Lehrbuch gibt eine Einführung in die Theoretische Mechanik und richtet sich an Studierende der Physik, die diese Vorlesung besuchen. Als Erstes werden die grundlegenden Konzepte wie Massenpunkt, Bahnkurve und Bezugssystem sowie die Newtonschen Axiome eingeführt. Im Fokus stehen der Lagrangeformalismus, Erhaltungsgrößen, das Hamiltonprinzip, das Noethertheorem und die wichtigsten Anwendungen (Bewegung im Zentralpotenzial, Dynamik des starren Körpers, harmonische Schwingungen). Der Hamiltonformalismus wird später für die Quantenmechanik benötigt. Das umfangreiche Gebiet der Kontinuumsmechanik wird anhand einiger exemplarischer Anwendungen (Saitenschwingung, Balkenbiegung, Schallwellen) vorgestellt. Die letzten 70 Seiten des Buchs sind der Speziellen Relativitätstheorie gewidmet. Die Stärken dieses Buches liegen in seiner prägnanten und kompakten Darstellung des Vorlesungsstoffes, die immer verständlich ist. Die Neuauflage wird durch eine klare und ausführliche Besprechung der richtigen Relation zwischen der Newtonschen Kraft und der Minkowskikraft bereichert. Der Autor gibt die formale Ableitung der korrekten Relation wieder und diskutiert die praktische und logische Relevanz der unterschiedlichen Angaben in der Literatur. Table of ContentsEinleitung.- I Elementare Newtonsche Mechanik.- 1 Bahnkurve.- 2 Newtons Axiome.- 3 Erhaltungssätze.- 4 System von Massenpunkten.- 5 Inertialsysteme.- 6 Beschleunigte Bezugssysteme.- II Lagrangeformalismus.- 7 Lagrangegleichungen 1. Art.- 8 Anwendungen I.- 9 Lagrangegleichungen 2. Art.- 10 Anwendungen II.- 11 Raum-Zeit-Symmetrien.- III Variationsprinzipien.- 12 Variation ohne Nebenbedingung.- 13 Variation mit Nebenbedingung.- 14 Hamiltonsches Prinzip.- 15 Noethertheorem.- IV Zentralpotenzial.- 16 Zweikörperproblem.- 17 Keplerproblem.- 18 Streuung.- V Starrer Körper.- 19 Kinematik.- 20 Trägheitstensor.- 21 Tensoren.- 22 Eulersche Gleichungen.- 23 Schwerer Kreisel.- VI Kleine Schwingungen.- 24 Erzwungene Schwingungen.- 25 System mit vielen Freiheitsgraden.- 26 Anwendungen.- VII Hamiltonformalismus.- 27 Kanonische Gleichungen.- 28 Kanonische Transformationen.- 29 Hamilton-Jacobi-Gleichung.- VIII Kontinuumsmechanik.- 30 Saitenschwingung.- 31 Balkenbiegung.- 32 Hydrodynamik.- 33 Feldtheorien.- IX Relativistische Mechanik.- 34 Relativitätsprinzip.- 35 Längen- und Zeitmessung.- 36 Lorentzgruppe.- 37 Lorentztensoren.- 38 Bewegungsgleichung.- 39 Anwendungen.- 40 Lagrangefunktion.- A Newtonsche Kraft und Minkowskikraft.- Register.
£999.99
Springer Fachmedien Wiesbaden Grundlagen der Physik: kurz und knapp
Book SynopsisPhysikalische Grundlagen stehen am Anfang der meisten Ingenieur- und Naturwissenschaften bis hin zur Medizin. Dieses Lehrbuch enthält die wichtigsten Grundlagen der Mechanik, Elektrizität, Optik und Wärme sowie exemplarisch einige Fakten der Atom- und Kernphysik. Kurz und knapp werden die physikalischen Begriffe und Gesetze dargestellt und erläutert. Auf die in der Physik üblichen exakten mathematischen Formulierungen wird dabei nicht verzichtet. Mathematische Einschübe geben, wenn nötig, Hilfestellung. Typische Merkmale der Physik werden vermittelt, wie z.B. Vorgehensweisen bei Ableitungen von Gesetzen, Querverbindungen oder die Beschreibung von Materialeigenschaften. Viele übersichtliche Abbildungen und einfache Beispiele sind zum leichteren Verständnis eingefügt, ebenso wie über 50 Aufgaben mit Lösungen zur Vertiefung und Nacharbeitung des Stoffes. Die vorliegende 4. Auflage wurde gründlich überarbeitet und neu geschrieben. Sie wendet sich an Studierende mit Physik als Nebenfach ebenso wie an alle, die bei ihrer Arbeit mit Physik konfrontiert sind. Table of ContentsVorwort.- 1 Mechanik.- 2 Elektrizität.- 3 Optik.- 4 Wärme.- 5 Atom- und Kernphysik.- Weiterführende Lehrbücher.- Sachverzeichnis.
£22.99
Springer Spektrum Mechanik für das gymnasiale Lehramt
Book SynopsisEinführung in die theoretische Physik.- Newtonsche Mechanik.- Analytische Mechanik.- Anwendungen.
£23.74
Springer Spektrum Schwingungen und Wellen in Alltagskontexten
Book SynopsisDas Huygens-Raebiger-Pendel.- Astronomische Perspektive auf Schwingungen und Wellen.- Elektromagnetische Wellen – Grundlagen und ausgewählte Anwendungen.- Messen mit Licht.- Elektromagnetische Strahlung im Anfangsunterricht.- Kontextorientierter Physikunterricht im Themengebiet der Akustik.- MINT-Cluster TÖNE – außerschulische Akustik-Angebote für Jugendliche.- Physik in Musikinstrumenten.- Akustische Phänomene mit der App phyphox untersuchen.- Akustische Analysen von Glocken und Gläsern.
£999.99
Springer Notes on Continuum Mechanics
Book SynopsisThis publication is aimed at students, teachers, and researchers of Continuum Mechanics and focused extensively on stating and developing Initial Boundary Value equations used to solve physical problems. With respect to notation, the tensorial, indicial and Voigt notations have been used indiscriminately. The book is divided into twelve chapters with the following topics: Tensors, Continuum Kinematics, Stress, The Objectivity of Tensors, The Fundamental Equations of Continuum Mechanics, An Introduction to Constitutive Equations, Linear Elasticity, Hyperelasticity, Plasticity (small and large deformations), Thermoelasticity (small and large deformations), Damage Mechanics (small and large deformations), and An Introduction to Fluids. Moreover, the text is supplemented with over 280 figures, over 100 solved problems, and 130 references.Trade ReviewFrom the reviews:“The book is meant as a textbook for master and doctoral students and researchers. It is based on lecture notes of civil engineering courses of the author given at the University of Castillia-La Mancha (Spain). So the reader can expect a careful and detailed introduction to the subject without too much novelty. … The book is perhaps helpful for those readers who have already a strong background in continuum mechanics and want to find additional information on topics … .” (Albrecht Bertram, zbMATH, Vol. 1277, 2014)Table of ContentsPreface.- Abbreviations.- Operators And Symbols.- Si-Units.- Introduction.- 1 Mechanics.- 2 What Is Continuum Mechanics.- 3 Scales Of Material Studies.- 4 The Initial Boundary Value Problem (Ibvp).- 1 Tensors.- 1.1 Introduction.- 1.2 Algebraic Operations With Vectors.- 1.3 Coordinate Systems.- 1.4 Indicial Notation.- 1.5 Algebraic Operations With Tensors.- 1.6 The Tensor-Valued Tensor Function.- 1.7 The Voigt Notation.- 1.8 Tensor Fields.- 1.9 Theorems Involving Integrals.- Appendix A: A Graphical Representation Of A Second-Order Tensor.- A.1 Projecting A Second-Order Tensor Onto A Particular Direction.- A.2 Graphical Representation Of An Arbitrary Second-Order Tensor.- A.3 The Tensor Ellipsoid.- A.4 Graphical Representation Of The Spherical And Deviatoric Parts.- 2 Continuum Kinematics.- 2.1 Introduction.- 2.2 The Continuous Medium.- 2.3 Description Of Motion.- 2.4 The Material Time Derivative.- 2.5 The Deformation Gradient.- 2.6 Finite Strain Tensors.- 2.7 Particular Cases Of Motion.- 2.8 Polar Decomposition Of F.- 2.9 Area And Volume Elements Deformation.- 2.10 Material And Control Domains.- 2.11 Transport Equations.- 2.12 Circulation And Vorticity.- 2.13 Motion Decomposition: Volumetric And Isochoric Motions.- 2.14 The Small Deformation Regime.- 2.15 Other Ways To Define Strain.- 3 Stress.- 3.1 Introduction.- 3.2 Forces.- 3.3 Stress Tensors.- 4 Objectivity Of Tensors.- 4.1 Introduction.- 4.2 The Objectivity Of Tensors.- 4.3 Tensor Rates.- 5 The Fundamental Equations Of Continuum Mechanics.- 5.1 Introduction.- 5.2 Density.- 5.3 Flux.- 5.4 The Reynolds Transport Theorem.- 5.5 Conservation Law.- 5.6 The Principle Of Conservation Of Mass. The Mass Continuity Equation.- 5.7 The Principle Of Conservation Of Linear Momentum. The Equations Of Motion.- 5.8 The Principle Of Conservation Of Angular Momentum. Symmetry Of The Cauchy Stress Tensor.- 5.9 The Principle Of Conservation Of Energy. The Energy Equation.- 5.10 The Principle Of Irreversibility. Entropy Inequality.- 5.11 Fundamental Equations Of Continuum Mechanics.- 5.12 Flux Problems.- 5.13 Fluid Flow In Porous Media (Filtration).- 5.14 The Convection-Diffusion Equation.- 5.15 Initial Boundary Value Problem (Ibvp) And Computational Mechanics.- 6 Introduction To Constitutive Equations.- 6.1 Introduction.- 6.2 The Constitutive Principles.- 6.3 Characterization Of Constitutive Equations For Simple Thermoelastic Materials.- 6.4 Characterization Of The Constitutive Equations For A Thermoviscoelastic Material.- 6.5 Some Experimental Evidence.- 7 Linear Elasticity.- 7.1 Introduction.- 7.2 Initial Boundary Value Problem Of Linear Elasticity.- 7.3 Generalized Hooke’s Law.- 7.4 The Elasticity Tensor.- 7.5 Isotropic Materials.- 7.6 Strain Energy Density.- 7.7 The Constitutive Law For Orthotropic Material.- 7.8 Transversely Isotropic Materials.- 7.9 The Saint-Venant’s And Superposition Principles.- 7.10 Initial Stress/Strain.- 7.11 The Navier-Lamé Equations.- 7.12 Two-Dimensional Elasticity.- 7.13 The Unidimensional Approach.- 8 Hyperelasticity.- 8.1 Introduction.- 8.2 Constitutive Equations.- 8.3 Isotropic Hyperelastic Materials.- 8.4 Compressible Materials.- 8.5 Incompressible Materials.- 8.6 Examples Of Hyperelastic Models.- 8.7 Anisotropic Hyperelasticity.- 9 Plasticity.- 9.1 Introduction.- 9.2 The Yield Criterion.- 9.3 Plasticity Models In Small Deformation Regime (Uniaxial Cases).- 9.4 Plasticity In Small Deformation Regime (The Classical Plasticity Theory).- 9.5 Plastic Potential Theory.- 9.6 Plasticity In Large Deformation Regime.- 9.7 Large-Deformation Plasticity Based On The Multiplicative Decomposition Of The Deformation Gradient.- 10 Thermoelasticity.- 10.1 Thermodynamic Potentials.- 10.2 Thermomechanical Parameters.- 10.3 Linear Thermoelasticity.- 10.4 The Decoupled Thermo-Mechanical Problem In A Small Deformation Regime.- 10.5 The Classical Theory Of Thermoelasticity In Finite Strain (Large Deformation Regime).- 10.6 Thermoelasticity Based On The Multiplicative Decomposition Of The Deformation Gradient..- 10.7 Thermoplasticity In A Small Deformation Regime.- 11 Damage Mechanics.- 11.1 Introduction.- 11.2 The Isotropic Damage Model In A Small Deformation Regime.- 11.3 The Generalized Isotropic Damage Model.- 11.4 The Elastoplastic-Damage Model In A Small Deformation Regime.- 11.5 The Tensile-Compressive Plastic-Damage Model.- 11.6 Damage In A Large Deformation Regime.- 12 Introduction To Fluids.- 12.1 Introduction.- 12.2 Fluids At Rest And In Motion.- 12.3 Viscous And Non-Viscous Fluids.- 12.4 Laminar Turbulent Flow.- 12.5 Particular Cases.- 12.6 Newtonian Fluids.- 12.7 Stress, Dissipated And Recoverable Powers.- 12.8 The Fundamental Equations For Newtonian Fluids.- Bibliography.- Index.
£87.90
World Scientific Publishing Company Mechanics Of Ferromagnetoelastic Materials And
Book Synopsis
£76.00
World Scientific Publishing Co Pte Ltd Problems And Solutions On Mechanics
Book SynopsisThis volume is a compilation of carefully selected questions at the PhD qualifying exam level, including many actual questions from Columbia University, University of Chicago, MIT, State University of New York at Buffalo, Princeton University, University of Wisconsin and the University of California at Berkeley over a twenty-year period. Topics covered in this book include dynamics of systems of point masses, rigid bodies and deformable bodies, Lagrange's and Hamilton's equations, and special relativity.This latest edition has been updated with more problems and solutions and the original problems have also been modernized, excluding outdated questions and emphasizing those that rely on calculations. The problems range from fundamental to advanced in a wide range of topics on mechanics, easily enhancing the student's knowledge through workable exercises. Simple-to-solve problems play a useful role as a first check of the student's level of knowledge whereas difficult problems will challenge the student's capacity on finding the solutions.
£121.50
World Scientific Publishing Co Pte Ltd Essential Classical Mechanics
Book Synopsis'The authors deliver a highly readable text which should assure a continued supply of practitioners of classical mechanics and its applications.'Contemporary PhysicsThis is a book on intermediate classical mechanics. In this book, classical mechanics is presented as a useful tool to analyze the physical universe and also as the base on which the whole pyramid of modern physics has been erected. Various mechanical concepts are developed in a highly logical manner, with relatively thorough treatments on mathematical procedures and many physically interesting applications. Connections to more modern theoretical developments (including statistical physics, relativity, and quantum mechanics) are emphasized.
£121.50
Taylor & Francis Ltd Biomechanical Aspects of Soft Tissues
Biomechanics applies the laws and techniques of mechanics in the study of biological systems and related phenomena. Biomechanics uses mathematical and computational tools such as model construction of musclo-skeletal system, body fluid circulation, to aid medical diagnosis, therapeutics and surgery planning, designing of prostheses and implants or in tissue engineering. Present book targets specific topics pertaining to the biomechanics of soft tissues. Subjects addressed includes solids and multi-species mixtures as open systems: a continuum mechanics perspective; electro-chemo-mechanical couplings: tissues with a fixed electric charge and growth of biological tissues.
£45.99
de Gruyter Oldenbourg Set Technische Mechanik Kapieren 2A
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£999.99
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Stellar Structure and Evolution
Book SynopsisThis long-awaited second edition of the classical textbook on Stellar Structure and Evolution by Kippenhahn and Weigert is a thoroughly revised version of the original text. Taking into account modern observational constraints as well as additional physical effects such as mass loss and diffusion, Achim Weiss and Rudolf Kippenhahn have succeeded in bringing the book up to the state-of-the-art with respect to both the presentation of stellar physics and the presentation and interpretation of current sophisticated stellar models. The well-received and proven pedagogical approach of the first edition has been retained.The book provides a comprehensive treatment of the physics of the stellar interior and the underlying fundamental processes and parameters. The models developed to explain the stability, dynamics and evolution of the stars are presented and great care is taken to detail the various stages in a star’s life. Just as the first edition, which remained a standard work for more than 20 years after its first publication, the second edition will be of lasting value not only for students but also for active researchers in astronomy and astrophysics.Trade ReviewFrom the reviews of the second edition:“‘Stellar Structure and Evolution’ is a mathematical and theoretical look at stellar physics. … As a textbook I found this clear and concise, containing all the important topics … and as such is an essential learning material for students of astrophysics, but also a good reference-work to fall back upon if something needs to be reminded. Because of it’s structure and the way the concepts are presented it also makes for a good textbook for independent study … .” (Kadri Tinn, AstroMadness.com, March, 2014)“There is an enormous amount of physics and astronomy in this second edition, more … than a typical first-year-graduate class, or instructor, can master in a semester. Some of the material cannot easily be found in other books … . Certainly, anyone planning to teach the subject should have the book … .” (Virginia Trimble, The Observatory, Vol. 133 (1233), April, 2013)Table of ContentsPart I The Basic Equations.- 1 Coordinates, Mass Distribution, and Gravitational Field in Spherical Stars.- 2 Conservation of Momentum.- 3 The Virial Theorem.- 4 Conservation of Energy.- 5 Transport of Energy by Radiation and Conduction.- 6 Stability Against Local, Non-spherical Perturbations.- 7 Transport of Energy by Convection.- 8 The Chemical Composition.- 9 Mass Loss.- Part II The Overall Problem.- 10 The Differential Equations of Stellar Evolution.- 11 Boundary Conditions.- 12 Numerical Procedure.- Part III Properties of Stellar Matter.- 13 The Perfect Gas with Radiation.- 14 Ionization.- 15 The Degenerate Electron Gas.- 16 The Equation of State of Stellar Matter.- 17 Opacity.- 18 Nuclear Energy Production.- Part IV Simple Stellar Models.- 19 Polytropic Gaseous Spheres.- 20 Homology Relations.- 21 Simple Models in the U–V Plane.- 22 The Zero Age Main-Sequence.- 23 Other Main-Sequences.- 24 The Hayashi Line.- 25 Stability Considerations.- Part V Early Stellar Evolution.- 26 The Onset of Star Formation.- 27 The Formation of Protostars.- 28 Pre-Main-Sequence Contraction.- 29 From the Initial to the Present Sun.- 30 Evolution on the Main-Sequence.- Part VI Post-Main-Sequence Evolution.- 31 Evolution Through Helium Burning – Intermediate-Mass Stars.- 32 Evolution Through Helium Burning – Massive Stars.- 33 Evolution Through Helium Burning – Low-Mass Stars.- Part VII Late Phases of Stellar Evolution.- 34 Evolution on the Asymptotic Giant Branch.- 35 Later Phases of Core Evolution.- 36 Final Explosions and Collapse.- Part VIII Compact Objects.- 37 White Dwarfs.- 38 Neutron Stars.- 39 Black Holes.- Part IX Pulsating Stars.- 40 Adiabatic Spherical Pulsations.- 41 Non-adiabatic Spherical Pulsations.- 42 Non-radial Stellar Oscillations.- Part X Stellar Rotation.- 43 The Mechanics of Rotating Stellar Models.- 44 The Thermodynamics of Rotating Stellar Models.- 45 The Angular-Velocity Distribution in Stars.- References.- Index.
£71.99
Springer Spektrum Fingerübungen der Physik Mechanik
Book Synopsis1. Die Physik der Bewegung von Körpern .- 2. Physik des Kontinuums.
£23.74
Wspc (Europe) Developments In Modern Physics With Frequency
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£66.50
Springer Classical Mechanics
Book SynopsisMechanical systems with one degree of freedom.- Kepler's gravitational two-body problem.- Newtonian to Lagrangian and Hamiltonian mechanics.- Introduction to special relativistic mechanics.- Dynamics viewed as a vector ?eld on state space.- Small oscillations for one degree of freedom.- Nonlinear oscillations: pendulum and anharmonic oscillator.- Rigid body mechanics.- Motion in noninertial frames of reference.- Canonical transformations.- Angle-action variables.- Hamilton-Jacobi equation.- Normal modes of oscillation and linear stability.- Bifurcations: qualitative changes in dynamics.- From regular to chaotic motion.- Dynamics of continuous deformable media.- Vibrations of a stretched string and the wave equation.- Heat diffusion equation and Brownian motion.- Introduction to ?uid mechanics.
£999.99
Springer Nature Switzerland AG Flowing Matter
Book SynopsisThis open access book, published in the Soft and Biological Matter series, presents an introduction to selected research topics in the broad field of flowing matter, including the dynamics of fluids with a complex internal structure -from nematic fluids to soft glasses- as well as active matter and turbulent phenomena. Flowing matter is a subject at the crossroads between physics, mathematics, chemistry, engineering, biology and earth sciences, and relies on a multidisciplinary approach to describe the emergence of the macroscopic behaviours in a system from the coordinated dynamics of its microscopic constituents. Depending on the microscopic interactions, an assembly of molecules or of mesoscopic particles can flow like a simple Newtonian fluid, deform elastically like a solid or behave in a complex manner. When the internal constituents are active, as for biological entities, one generally observes complex large-scale collective motions. Phenomenology is further complicated by the invariable tendency of fluids to display chaos at the large scales or when stirred strongly enough. This volume presents several research topics that address these phenomena encompassing the traditional micro-, meso-, and macro-scales descriptions, and contributes to our understanding of the fundamentals of flowing matter. This book is the legacy of the COST Action MP1305 “Flowing Matter”.Table of Contents1 Basic concepts of Stokes flows with particles; C. I. Trombley and M. L. Ekiel-Je˙zewska 2 Numerical approaches to complex fluids; Francesco Picano and Luca Brandt 3 Active fluids within the unified colored noise approximation; Umberto Marini Bettolo Marconi, Claudio Maggi and Alessandro Sarracino 4 Upscaling Flow and Transport Processes; M. Icardi 5 Quadrature-based lattice Boltzmann models for rarefied gas flow; Victor E. Ambrus and Victor Sofonea 6 Some recent developments in particle tracking diagnosis in Turbulence research; Mickael Bourgoin 7 Mesoscopic approach to nematic fluids; Miha Ravnik 8 Correlations and nonequilibrium transitions in flowing colloidal glasses; Peter Schall 9 The Finite Volume Approach to Lattice Boltzmann equation; Kalyan Shrestha and Enrico Calzavarini 10 Diffusion, Attachment and Self-Assembly of Janus Particles at Liquid-Liquid and Air-Liquid Interfaces; Andrei Honciuc
£999.99
Springer Nature Switzerland AG The Development of the Action Principle: A Didactic History from Euler-Lagrange to Schwinger
Book SynopsisThis book describes the historical development of the principle of stationary action from the 17th to the 20th centuries. Reference is made to the most important contributors to this topic, in particular Bernoullis, Leibniz, Euler, Lagrange and Laplace. The leading theme is how the action principle is applied to problems in classical physics such as hydrodynamics, electrodynamics and gravity, extending also to the modern formulation of quantum mechanics and quantum field theory, especially quantum electrodynamics. A critical analysis of operator versus c-number field theory is given. The book contains many worked examples. In particular, the term "vacuum" is scrutinized.The book is aimed primarily at actively working researchers, graduate students and historians interested in the philosophical interpretation and evolution of physics; in particular, in understanding the action principle and its application to a wide range of natural phenomena.Table of ContentsShort Historical Introduction.- Curva Elastica.- The Curva Elastica, a Curve of Least Energy.- From Euler to Lagrange.- Laplace and the Capillary - 1807.- A Final Application in Elasticity with Jacobi Elliptic Functions.- Short List of Jacobi Elliptic Functions and Constants Used in Chapter 5.- Variational Methods for Periodic Motions; Mathieu Functions.- Lagrangian for Isentropic Irrotational Flow.- Action Principle in Classical Electrodynamics.- The Two Giants in Gravity: Einstein and Hilbert.- The Quantum Action Principle.- The Action Principle in Quantum Field Theory.- Quantum Field Theory on Space-Like Hypersurfaces.- Lagrangian Formulation of Gauge Theories.- Effective Actions (Lagrangians) in Quantum Field Theory.- Modified Photon Propagation Function, Source Theory.
£999.99
Springer Nature Switzerland AG Strongly Interacting Matter under Rotation
Book SynopsisThis book addresses the needs of growing community of graduate students and researchers new to the area, for a survey that covers a wide range of pertinent topics, summarizes the current status of the field, and provides the necessary pedagogical materials for newcomers. The investigation of strongly interacting matter under the influence of macroscopic rotational motion is a new, emerging area of research that encompasses a broad range of conventional physics disciplines such as nuclear physics, astrophysics, and condensed matter physics, where the non-trivial interplay between global rotation and spin is generating many novel phenomena. Edited and authored by leading researchers in the field, this book covers the following topics: thermodynamics and equilibrium distribution of rotating matter; quantum field theory and rotation; phase structure of QCD matter under rotation; kinetic theory of relativistic rotating matter; hydrodynamics with spin; magnetic effects in fluid systems with high vorticity and charge; polarization measurements in heavy ion collisions; hydrodynamic modeling of the QCD plasma and polarization calculation in relativistic heavy ion collisions; chiral vortical effect; rotational effects and related topics in neutron stars and condensed matter systems.Trade Review“The book is interesting to everyone who wants to have the detailed and comprehensive review of recent developments in strongly interacting matter under the influence of macroscopic rotational motion.” (Dominik Strzałka, zbMATH 1480.82001, 2022)Table of Contents1. Strongly Interacting Matter under Rotation: An Overview.- 2. Quantum Field Theory and Rotation.- 3. Thermodynamics of Rotating Matter.- 4. Phase Structure of Matter under Rotation.- 5. The Spin Transport of Relativistic Rotating Matter.- 6. Relativistic Hydrodynamics with Spin.- 7. Global and Local Polarization Measurements at RHIC.- 8. Global and Local Polarization Measurements at LHC.- 9. Vorticity and Polarization in Heavy Ion Collisions: Hydrodynamic Models.- 10. Vorticity and Polarization in Heavy Ion Collisions: Transport Models.- 11. Magnetic Effects of Charged Fluid under Rotation.- 12. A Review of Chiral Vertical Effect.
£999.99
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Mechanik-Aufgaben: Kinematik und Kinetik
Book SynopsisDas Niveau dieser Aufgabensammlung, die auch auf Schwingungsprobleme von Einmassenschwingern eingeht, entspricht den Maschinenbaustudiengängen an Fachhochschulen. Das Buch eignet sich ferner zum Einstieg an Universitäten und Technischen Hochschulen. Kinematik des Punktes Kinetik des Massenpunktes Kinetik des Körpers bei Drehung um eine feste Achse Kinetik der allgemeinen ebenen Bewegung.Table of ContentsKinematik des Punktes.- 1 Skalare Kinematik — geradlinige und geführte Bewegung.- 2 Vektorkinematik — allgemeine Bewegung.- Kinetik des Massenpunktes.- 3 Dynamisches Grundgesetz der Translation und Prinzip von D’Alembert.- 4 Arbeit, Energie, Leistung.- 5 Freie, ungedämpfte Schwingungen des Massenpunktes.- Kinetik des Körpers bei Drehung um feste Achse.- 6 Massenträgheitsmomente bezüglich Hauptachsen und dazu paralleler Achsen.- 7 Dynamisches Grundgesetz der Rotation.- 8 Arbeit, Energie, Leistung.- 9 Drehimpuls (Drall).- Kinetik der allgemeinen, ebenen Bewegung.- 10 Dynamisches Grundgesetz der ebenen Bewegung.- 11 Freie, ungedämpfte Schwingungen einer Masse.- 12 Freie und erregte Schwingungen einer Masse mit geschwindigkeitsproportionaler Dämpfung.- 13 Kinetik der Relativbewegung.
£999.99
Springer Fachmedien Wiesbaden Das neue Physikalische Grundpraktikum
Book SynopsisDas vorliegende Werk bietet in seiner vollständig überarbeiteten dritten Auflage eine hervorragende Begleitung für Physik-Praktika im Bachelorstudium. In 12 Kapiteln mit insgesamt 52 Themenkreisen werden mehr als 200 Einzelaufgaben jeweils mit Zielsetzung, Literaturangaben, physikalischen Grundlagen, Gerätezubehör sowie Hinweisen zu Messung und Auswertung ausführlich beschrieben. Rundum ein innovatives Buch für alle Studierenden mit Haupt- oder Nebenfach Physik. Die Neuauflage enthält neue Experimente zu Mikrowellen, Polarisation, Flüssigkristallen, Röntgenstrahlung, Gamma-Spektroskopie u.a. Zudem wurden die Messverfahren weitgehend auf moderne digitale Messtechnik umgestellt.Table of ContentsGrundbegriffe der Messtechnik.- Bewegungen und Kräfte.- Deformierbare Körper und Akustik.- Vielteilchensysteme und Thermodynamik.- Gleich- und Wechselstromkreise.- Elektrische und magnetische Felder.- Halbleiterelektronik.- Linsen und optische Instrumente.- Licht- und Mikrowellen.- Photonen, Elektronen und Atome.- Radioaktivität und Strahlenschutz.- Digitalelektronik und Computer.
£56.99
Birkhauser Boston Fundamentals of Multibody Dynamics
Book SynopsisThis textbook – a result of the author’s many years of research and teaching – brings together diverse concepts of the versatile tool of multibody dynamics, combining the efforts of many researchers in the field of mechanics. Trade Review"This textbook offers a comprehensive exposition of contemporary multibody dynamics elaborated by an expert in and an experienced teacher of the field. There are five features that distinguish this publication: comprehensivity, orientation towards computer implementation, utilization of matrix algebra, teaching-by-examples methodology, and embedding in the author's own research accomplishments.... [T]his is an excellent textbook for undergraduate, graduate, and doctoral students of mechanical engineering, industrial physics and robotics; it may also be recommended as a reference text for researchers in these areas." —Mathematical Reviews "This is a textbook intended for advanced undergraduate and beginning graduate students studying dynamics, physics, robotics, control, and biomechanics.... The book is well-written with good organization. It has good quality graphics. It clearly represents a considerable effort by the author to present a state-of-the-art exposition. The book should be of interest and use to practitioners and researches as well as students. It brings together methodologies from various fields into a single volume." —Zentralblatt MATH "Timely and forward looking, Fundamentals of Multibody Dynamics, has immense potential for use as a textbook with a strong computer orientation towards the subject for junior/senior undergraduates and first-year graduate engineering students taking a course in dynamics, physics, control, robotics, or biomechanics. The work may also be used as a self-study resource or research reference for practitioners in the above-mentioned fields; they will find the book a refreshing break from the usual textbook presentation...with the type of printing, layout and illustrations by way of figures, tables and mathematical equations that contribute to a helpful understanding of the material presented and instant location of what is required by the reader. The book is studded with useful and relevant references. Thus, we are stronly led to recommend this impressive volume to students and practicing engineers who are looking for a book that fills the gap between dynamics and engineering applications. We have nothing but admiration for what Farid Amirouche has done." —Current Engineering PracticeTable of ContentsPreface Particle Dynamics: The Principle fo Newton's Second Law Rigid-Body Kinematics Kinematics for General Multibody Systems Modeling of Forces in Multibody Systems Equations of Motion of Multibody Systems Hamilton–Lagrange and Gibbs–Appel Equations Handling of Constraints in Multibody Systems Dynamics Numerical Stability of Constrained Multibody Systems Linearization and Vibration Analysis of Multibody Systems Dynamics of Multibody Systems with Terminal Flexible Links Dynamic Analysis of Multiple Flexible-Body Systems Modeling of Flexibility Effects Using the Boundary-Element Method Appendix A: Multibody Dynamics Flowchart for the Construction of the Equations of Motion with Constraints Appendix B: Centroid Location and Area Moment of Inertia Appendix C: Center of Gravity and Mass Moment of Inertia of Homogeneous Solids Appendix D: Symbols Description Appendix E: Units and Conversion References Index
£113.99
Birkhäuser The Theory of the Top Introduction to the Kinematics and Kinetics of the Top v 1
Book Synopsisto the Kinematics and Kinetics of the Top.- The kinematics of the top.- to kinetics (statics and impulse theory).- The Euler equations with further development of the kinetics of the top.Trade Review"This book is a translation by Raymond J. Nagem and Guido Sandri of the German original [F. Klein and A. Sommerfeld, Über die Theorie des Kreisels. Heft I, Teubner, Leipzig, 1897; JFM 28.0658.04]. Various editions of this book, which presents fundamental results in the theory of the motion of the top, have appeared in German...This English translation is of great scientific interest and importance. The content and sequence of exposition of this book faithfully follow the original work...The translators' remarks are presented separately and are intended to ensure an accurate account of the historical development of the theory of the top. This translation is of a high scientific caliber and makes one look forward to the translation of the second volume by Nagem and Sandri." —Mathematical Reviews "It is very positive that, by producing the English edition of this book, a large group of contemporary scientists and especially mathematicians can admire and appreciate what a broad understanding mathematicians like Felix Klein, not only of their field but also of physics, had. Very interesting ample notes of the translators (about 50 pages), where also various motions are worked out, physically interpreted and excellently illustrated by numerous figures, and a nice preface by Michael Eckert make this volume even more interesting to read than the German original." —Zentralblatt MATHTable of Contentsto the Kinematics and Kinetics of the Top.- The kinematics of the top.- to kinetics (statics and impulse theory).- The Euler equations with further development of the kinetics of the top.
£104.49
Cambridge University Press The Science of Mechanics A Critical And Historical Exposition Of Its Principles Cambridge Library Collection Physical Sciences
Book SynopsisErnst Mach (1838â1916), the first scientist to study objects moving faster than the speed of sound, propounded a scientific philosophy which called for a strict adherence to observable data. He maintained that the sole purpose of scientific study is to provide the simplest possible description of detectable phenomena. In this work, first published in German in 1883 and here translated in 1893 by Thomas J. McCormack (1865â1932) from the 1888 second edition, Mach begins with a historical discussion of mechanical principles. He then proceeds to a critique of Newton's concept of 'absolute' space and time, reflecting Mach's rejection of theoretical concepts in the absence of definitive evidence. Although historically controversial, Mach's ideas and attitudes informed philosophers as influential as Russell and Wittgenstein, and his insistence upon a 'relative' idea of space and time provided much of the philosophical basis for Einstein's theory of general relativity decades later.Table of ContentsTranslator's preface; Author's preface to the translation; Preface to the first edition; Preface to the second edition; Introduction; 1. The development of the principles of statics; 2. The development of the principles of dynamics; 3. The extended application of the principles of mechanics and the deductive development of the science; 4. The formal development of mechanics; 5. The relation of mechanics to the departments of knowledge; Appendix; Chronological table; Index.
£52.20
Lulu.com Hydrocyclones Volume II
£71.25
Springer analysisofgeometricallynonlinearstructures
Book SynopsisBook Contents.- 1 Overview.- 2 Linear Structural Analysis.- 3 Exact Analysis of Trusses.- 4 Nonlinear Analysis of Plane Frames.- 5 Nonlinear Analysis of Space Frames.- 6 Nonlinear Analysis of Membranes.- 7 Cablenets and Fabric Structures.- 8 Three-Dimensional Beam-Columns.- 9 Nonlinear Analysis of Shells.- References.- Appendix 1 Member Stiffness When Beam-Column Effects are Included.- Appendix 2 Determinants.- Appendix 3 The Rotation Matrix.- Appendix 4 Perturbation Methods Applied to Plane Beams.- Appendix 5 Introduction to Computer Programs.- A5.1 Introduction.- A5.2 Space Trusses.- A5.3 Plane Frames.- A5.4 Listing for TR3D.FOR.- A5.5 Listing for FR2D.FOR.- Appendix 6 Graphics on a PC.- A6.1 Introduction.- A6.2 Plotting in 2-D.- A6.3 Drawing Lines in 2-D.Table of ContentsBook Contents.- 1 Overview.- 2 Linear Structural Analysis.- 3 “Exact” Analysis of Trusses.- 4 Nonlinear Analysis of Plane Frames.- 5 Nonlinear Analysis of Space Frames.- 6 Nonlinear Analysis of Membranes.- 7 Cablenets and Fabric Structures.- 8 Three-Dimensional Beam-Columns.- 9 Nonlinear Analysis of Shells.- References.- Appendix 1 Member Stiffness When Beam-Column Effects are Included.- Appendix 2 Determinants.- Appendix 3 The Rotation Matrix.- Appendix 4 Perturbation Methods Applied to Plane Beams.- Appendix 5 Introduction to Computer Programs.- A5.1 Introduction.- A5.2 Space Trusses.- A5.3 Plane Frames.- A5.4 Listing for TR3D.FOR.- A5.5 Listing for FR2D.FOR.- Appendix 6 Graphics on a PC.- A6.1 Introduction.- A6.2 Plotting in 2-D.- A6.3 Drawing Lines in 2-D.
£116.99
Springer Turbulence in Fluids 84 Fluid Mechanics and Its Applications
Book Synopsisto Turbulence in Fluid Mechanics.- Basic Fluid Dynamics.- Transition to Turbulence.- Shear Flow Turbulence.- Fourier Analysis of Homogeneous Turbulence.- Isotropic Turbulence: Phenomenology and Simulations.- Analytical Theories and Stochastic Models.- Two-Dimensional Turbulence.- Beyond Two-Dimensional Turbulence in GFD.- Statistical Thermodynamics of Turbulence.- Statistical Predictability Theory.- Large-Eddy Simulations.- Towards Real World Turbulence.Trade ReviewFrom the reviews of the fourth edition: "Turbulence in Fluids contains a wealth of information, and its author is a top-tier scientist. … The book is logically ordered and contains a comprehensive list of 738 references. … Lesieur’s monograph is recommended for those who already know quite a bit about turbulence, for the theoretically inclined, and in particular for those interested in homogeneous turbulence and geophysical flows and their numerical simulation." (Mohamed Gad-El-Hak, Siam Review, Vol. 51 (1), 2009)Table of Contentsto Turbulence in Fluid Mechanics.- Basic Fluid Dynamics.- Transition to Turbulence.- Shear Flow Turbulence.- Fourier Analysis of Homogeneous Turbulence.- Isotropic Turbulence: Phenomenology and Simulations.- Analytical Theories and Stochastic Models.- Two-Dimensional Turbulence.- Beyond Two-Dimensional Turbulence in GFD.- Statistical Thermodynamics of Turbulence.- Statistical Predictability Theory.- Large-Eddy Simulations.- Towards “Real World Turbulence”.
£66.49
University Press of the Pacific Theory of Elasticity
£32.25
Springer New York Compendium of Theoretical Physics
Book SynopsisThe Compendium of Theoretical Physics contains the canonical curriculum of theoretical physics. From classical mechanics over electrodynamics, quantum mechanics and statistical physics/thermodynamics, all topics are treated axiomatic-deductively and confimed by exercises, solutions and short summaries.Table of ContentsPreface.- List of Applications.- 1.Mechanics: Newtonian Mechanics.- Lagrangian Mechanics.- Hamiltonian Mechanics.- Motion of Rigid Bodies.- Central Forces.- Relativistic Mechanics.- 2. Electrodynamics: Formalism of Electrodynamics.- Solutions of Maxwell’s Equations in the Form of Potentials.- Lorentz Covariant Formulation of Electrodynamics.- Radiation Theory.- Time-Independent Electrodynamics.- Electrodynamics in Matter.- Electromagnetic Waves.- Lagrange Formalism in Electrodynamics.- 3. Quantum Mechanics: Mathematical Foundations of Quantum Mechanics.- Formulation of Quantum Theory.- One-Dimensional Systems.- Quantum Mechanical Angular Momenta.- Schrödinger Equation in Three Dimensions.- Electromagnetic Interactions.- Perturbation Theory and Real Hydrogen Atom.- Atomic Transitions.- N-Particle Systems.- Scattering Theory.- 4. Statistical Physics and Thermodynamics: Foundations of Statistical Physics.- Ensemble Theory I: Microcanonical Ensemble and Entropy.- Ensemble Theory II: Canonical and Grand Canonical Ensemble.- Entropy and Information Theory.- Thermodynamics.- Classical Maxwell-Boltzmann Statistics.- Quantum Statistics.- Appendix A: Mathematical Appendix.- Appendix B: Literature List.- Index
£64.99
Springer Us Technology of the Guitar
Book SynopsisFeaturing chapters on physics, structure, sound and design specifics, Technology of the Guitar also includes coverage of historical content, composition of strings and their effects on sound quality, and important designs.Table of Contents1. Guitar Overview.- 2. Basic Physics.- 3. The Structure of the Guitar.- 4. Electronics.- 5. Sound Quality.- 6. Design Specifics for Acoustic Guitars.- 7. Design Specifics for Electric Guitars.- 8. Hardware.- 9. Iconic Guitars.
£127.99
WWW.Snowballpublishing.com The Principia: Mathematical Principles of Natural Philosophy
£22.49
Springer London Ltd Introduction to Analytical Dynamics
Book SynopsisFirst published in 1987, this text offers concise but clear explanations and derivations to give readers a confident grasp of the chain of argument that leads from Newton’s laws through Lagrange’s equations and Hamilton’s principle, to Hamilton’s equations and canonical transformations. This new edition has been extensively revised and updated to include: A chapter on symplectic geometry and the geometric interpretation of some of the coordinate calculations. A more systematic treatment of the conections with the phase-plane analysis of ODEs; and an improved treatment of Euler angles. A greater emphasis on the links to special relativity and quantum theory showing how ideas from this classical subject link into contemporary areas of mathematics and theoretical physics. A wealth of examples show the subject in action and a range of exercises – with solutions – are provided to help test understanding. Trade ReviewFrom the reviews of the second edition:“It is designed to teach analytical mechanics to second and third year undergraduates in the UK, and probably to third or fourth year undergraduates in the US. … This book offers a very attractive traditional introduction to the subject. … the author is well tuned to the difficulties even strong students encounter. … discusses the relevance of classical mechanics in modern physics, especially to relativity and quantum mechanics. This is a fine textbook. It would be a pleasure to teach or to learn from it.” (William J. Satzer, The Mathematical Association of America, March, 2010)Table of ContentsFrames of Reference.- One Degree of Freedom.- Lagrangian Mechanics.- Noether#x2019;s Theorem.- Rigid Bodies.- Oscillations.- Hamiltonian Mechanics.- Geometry of Classical Mechanics.- Epilogue: Relativity and Quantum Theory.
£24.95
Springer International Publishing AG Turbulence
Book SynopsisThis book covers the major problems of turbulence and turbulent processes, including physical phenomena, their modeling and their simulation.After a general introduction in Chapter 1 illustrating many aspects dealing with turbulent flows, averaged equations and kinetic energy budgets are provided in Chapter 2. The concept of turbulent viscosity as a closure of the Reynolds stress is also introduced. Wall-bounded flows are presented in Chapter 3 and aspects specific to boundary layers and channel or pipe flows are also pointed out. Free shear flows, namely free jets and wakes, are considered in Chapter 4. Chapter 5 deals with vortex dynamics. Homogeneous turbulence, isotropy and dynamics of isotropic turbulence are presented in Chapters 6 and 7. Turbulence is then described both in the physical space and in the wave number space. Time dependent numerical simulations are presented in Chapter 8, where an introduction to large eddy simulation is offered. The last three chapters of the book summarize remarkable digital techniques current and experimental. Many results are presented in a practical way, based on both experiments and numerical simulations.The book is written for a advanced engineering students as well as postgraduate engineers and researchers. For students, it contains the essential results as well as details and demonstrations whose oral transmission is often tedious. At a more advanced level, the text provides numerous references which allow readers to find quickly further study regarding their work and to acquire a deeper knowledge on topics of interest.Table of Contents Introduction to turbulence.- Statistical description of turbulent flows.- Wall-bounded turbulent flows.- Free turbulent flows: jets and wakes.- Vortex dynamics.- Homogeneous and isotropic turbulence.- The dynamics of isotropic turbulence.- Direct and large eddy simulation of turbulent flows.- Turbulence models.- Experimental methods.
£94.99
Springer International Publishing AG Elementary Mechanics Using Matlab: A Modern Course Combining Analytical and Numerical Techniques
Book SynopsisThis book – specifically developed as a novel textbook on elementary classical mechanics – shows how analytical and numerical methods can be seamlessly integrated to solve physics problems. This approach allows students to solve more advanced and applied problems at an earlier stage and equips them to deal with real-world examples well beyond the typical special cases treated in standard textbooks.Another advantage of this approach is that students are brought closer to the way physics is actually discovered and applied, as they are introduced right from the start to a more exploratory way of understanding phenomena and of developing their physical concepts.While not a requirement, it is advantageous for the reader to have some prior knowledge of scientific programming with a scripting-type language. This edition of the book uses Matlab, and a chapter devoted to the basics of scientific programming with Matlab is included. A parallel edition using Python instead of Matlab is also available.Last but not least, each chapter is accompanied by an extensive set of course-tested exercises and solutions.Table of Contents Introduction.- Getting started with programming.- Units and measurement.- Motion in one dimension.- Forces in one dimension.- Motion in two and three dimensions.- Forces in two and three dimensions.- Constrained motion.- Forces and constrained motion.- Work.- Energy.- Momentum, impulse, and collisions.- Multiparticle systems.- Rotational motion.- Rotation of rigid bodies.- Dynamics of rigid bodies.- Proofs.- Solutions.- Index.
£49.99
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Theory of Nonlinear Lattices
Book SynopsisSoliton theory, the theory of nonlinear waves in lattices composed of particles interacting by nonlinear forces, is treated rigorously in this book. The presentation is coherent and self-contained, starting with pioneering work and extending to the most recent advances in the field. Special attention is focused on exact methods of solution of nonlinear problems and on the exact mathematical treatment of nonlinear lattice vibrations. This new edition updates the material to take account of important new advances.Table of Contents1. Introduction.- 1.1 The Fermi-Pasta-Ulam Problem.- 1.2 Hénon-Heiles Calculation.- 1.3 Discovery of Solitons.- 1.4 Dual Systems.- 2. The Lattice with Exponential Interaction.- 2.1 Finding of an Integrable Lattice.- 2.2 The Lattice with Exponential Interaction.- 2.3 Periodic Solutions.- 2.4 Solitary Waves.- 2.5 Two-Soliton Solutions.- 2.6 Hard-Sphere Limit.- 2.7 Continuum Approximation and Recurrence Time.- 2.8 Applications and Extensions.- 2.9 Poincaré Mapping.- 2.10 Conserved Quantities.- 3. The Spectrum and Construction of Solutions.- 3.1 Matrix Formalism.- 3.2 Infinite Lattice.- 3.3 Scattering and Bound States.- 3.4 The Gel’fand-Levitan Equation.- 3.5 The Initial Value Problem.- 3.6 Soliton Solutions.- 3.7 The Relationship Between the Conserved Quantities and the Transmission Coefficient.- 3.8 Extensions of the Equations of Motion and the Kac-Moerbeke System.- 3.9 The Bäcklund Transformation.- 3.10 A Finite Lattice.- 3.11 Continuum Approximation.- 4. Periodic Systems.- 4.1 Discrete Hill’s Equation.- 4.2 Auxiliary Spectrum.- 4.3 Relation Between ?j (k) and ?j (0).- 4.4 Related Integrals on the Riemann Surface.- 4.5 Solution to the Inverse Problem.- 4.6 Time Evolution.- 4.7 A Simple Example (A Cnoidal Wave).- 4.8 Periodic System of Three-Particles.- 5. Application of the Hamilton-Jacobi Theory.- 5.1 Canonically Conjugate Variables.- 5.2 Action Variables.- 6. Recent Advances in the Theory of Nonlinear Lattices.- 6.1 The KdV Equation as a Limit of the TL Equation.- 6.2 Interacting Soliton Equations.- 6.3 Integrability.- 6.4 Generalization of the TL Equation.- 6.5 Two-Dimensional TL.- 6.6 Bethe Ansatz.- 6.7 The Thermodynamic Limit.- 6.8 Hierarchy of Nonlinear Equations.- 6.9 Some Numerical Results.- Appendices.- Simplified Answers to Main Problems.- References.- List of Authors Cited in Text.
£44.99
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Patterns and Interfaces in Dissipative Dynamics
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.
£999.99
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Food Physics: Physical Properties - Measurement and Applications
Book SynopsisThis is the first textbook in this field of increasing importance for the food and cosmetics industries. It is indispensable for future students of food technology and food chemistry as well as for engineers, technologists and technicians in the food industries. It describes the principles of food physics starting with the very basics – and focuses on the needs of practitioners without omitting important basic principles. It will be indispensable for future students of food technology and food chemistry as well as for engineers, technologists and technicians in the food industries. Food Physics deals with the physical properties of food, food ingredients and their measurement.Table of ContentsWater Activity.- Mass and Density.- Geometric Properties: Size and Shape.- Rheological Properties.- Interfacial Phenomena.- Permeability.- Thermal Properties.- Electrical Properties.- Magnetic Properties.- Electromagnetic Properties.- Optical Properties.- Acoustical Properties.- Radioactivity.- On-Line Sensing.- Appendices.-
£999.99
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Spectral Methods in Fluid Dynamics
Book SynopsisThis is a book about spectral methods for partial differential equations: when to use them, how to implement them, and what can be learned from their of spectral methods has evolved rigorous theory. The computational side vigorously since the early 1970s, especially in computationally intensive of the more spectacular applications are applications in fluid dynamics. Some of the power of these discussed here, first in general terms as examples of the methods have been methods and later in great detail after the specifics covered. This book pays special attention to those algorithmic details which are essential to successful implementation of spectral methods. The focus is on algorithms for fluid dynamical problems in transition, turbulence, and aero dynamics. This book does not address specific applications in meteorology, partly because of the lack of experience of the authors in this field and partly because of the coverage provided by Haltiner and Williams (1980). The success of spectral methods in practical computations has led to an increasing interest in their theoretical aspects, especially since the mid-1970s. Although the theory does not yet cover the complete spectrum of applications, the analytical techniques which have been developed in recent years have facilitated the examination of an increasing number of problems of practical interest. In this book we present a unified theory of the mathematical analysis of spectral methods and apply it to many of the algorithms in current use.Table of Contents1. Introduction.- 1.1. Historical Background.- 1.2. Some Examples of Spectral Methods.- 1.2.1. A Fourier Galerkin Method for the Wave Equation.- 1.2.2. A Chebyshev Collocation Method for the Heat Equation.- 1.2.3. A Legendre Tau Method for the Poisson Equation.- 1.2.4. Basic Aspects of Galerkin, Tau and Collocation Methods.- 1.3. The Equations of Fluid Dynamics.- 1.3.1. Compressible Navier-Stokes.- 1.3.2. Compressible Euler.- 1.3.3. Compressible Potential.- 1.3.4. Incompressible Flow.- 1.3.5. Boundary Layer.- 1.4. Spectral Accuracy for a Two-Dimensional Fluid Calculation.- 1.5. Three-Dimensional Applications in Fluids.- 2. Spectral Approximation.- 2.1. The Fourier System.- 2.1.1. The Continuous Fourier Expansion.- 2.1.2. The Discrete Fourier Expansion.- 2.1.3. Differentiation.- 2.1.4. The Gibbs Phenomenon.- 2.2. Orthogonal Polynomials in ( — 1, 1).- 2.2.1. Sturm—Liouville Problems.- 2.2.2. Orthogonal Systems of Polynomials.- 2.2.3. Gauss-Type Quadratures and Discrete Polynomial Transforms.- 2.3. Legendre Polynomials.- 2.3.1. Basic Formulas.- 2.3.2. Differentiation.- 2.4. Chebyshev Polynomials.- 2.4.1. Basic Formulas.- 2.4.2. Differentiation.- 2.5. Generalizations.- 2.5.1. Jacobi Polynomials.- 2.5.2. Mapping.- 2.5.3. Semi-Infinite Intervals.- 2.5.4. Infinite Intervals.- 3. Fundamentals of Spectral Methods for PDEs.- 3.1. Spectral Projection of the Burgers Equation.- 3.1.1. Fourier Galerkin.- 3.1.2. Fourier Collocation.- 3.1.3. Chebyshev Tau.- 3.1.4. Chebyshev Collocation.- 3.2. Convolution Sums.- 3.2.1. Pseudospectral Transform Methods.- 3 2 2 Aliasing Removal by Padding or Truncation.- 3.2.3. Aliasing Removal by Phase Shifts.- 3.2.4. Convolution Sums in Chebyshev Methods.- 3.2.5. Relation Between Collocation and Pseudospectral Methods.- 3.3. Boundary Conditions.- 3.4. Coordinate Singularities.- 3.4.1. Polar Coordinates.- 3.4.2. Spherical Polar Coordinates.- 3.5. Two-Dimensional Mapping.- 4. Temporal Discretization.- 4.1. Introduction.- 4.2. The Eigenvalues of Basic Spectral Operators.- 4.2.1. The First-Derivative Operator.- 4.2.2. The Second-Derivative Operator.- 4.3. Some Standard Schemes.- 4.3.1. Multistep Schemes.- 4.3.2. Runge—Kutta Methods.- 4.4. Special Purpose Schemes.- 4.4.1. High Resolution Temporal Schemes.- 4.4.2. Special Integration Techniques.- 4.4.3. Lerat Schemes.- 4.5. Conservation Forms.- 4.6. Aliasing.- 5. Solution Techniques for Implicit Spectral Equations.- 5.1. Direct Methods.- 5.1.1. Fourier Approximations.- 5.1.2. Chebyshev Tau Approximations.- 5.1.3. Schur-Decomposition and Matrix-Diagonalization.- 5.2. Fundamentals of Iterative Methods.- 5.2.1. Richardson Iteration.- 5.2.2. Preconditioning.- 5.2.3. Non-Periodic Problems.- 5.2.4. Finite-Element Preconditioning.- 5.3. Conventional Iterative Methods.- 5.3.1. Descent Methods for Symmetric, Positive-Definite Systems.- 5.3.2. Descent Methods for Non-Symmetric Problems.- 5.3.3. Chebyshev Acceleration.- 5.4. Multidimensional Preconditioning.- 5.4.1. Finite-Difference Solvers.- 5.4.2. Modified Finite-Difference Preconditioners.- 5.5. Spectral Multigrid Methods.- 5.5.1. Model Problem Discussion.- 5.5.2. Two-Dimensional Problems.- 5.5.3. Interpolation Operators.- 5.5.4. Coarse-Grid Operators.- 5.5.5. Relaxation Schemes.- 5.6. A Semi-Implicit Method for the Navier—Stokes Equations.- 6. Simple Incompressible Flows.- 6.1. Burgers Equation.- 6.2. Shear Flow Past a Circle.- 6.3. Boundary-Layer Flows.- 6.4. Linear Stability.- 7. Some Algorithms for Unsteady Navier—Stokes Equations.- 7.1. Introduction.- 7.2. Homogeneous Flows.- 7.2.1. A Spectral Galerkin Solution Technique.- 7.2.2. Treatment of the Nonlinear Terms.- 7.2.3. Refinements.- 7.2.4. Pseudospectral and Collocation Methods.- 7.3. Inhomogeneous Flows.- 7.3.1. Coupled Methods.- 7.3.2. Splitting Methods.- 7.3.3. Galerkin Methods.- 7.3.4. Other Confined Flows.- 7.3.5. Unbounded Flows.- 7.3.6. Aliasing in Transition Calculations.- 7.4. Flows with Multiple Inhomogeneous Directions.- 7.4.1. Choice of Mesh.- 7.4.2. Coupled Methods.- 7.4.3. Splitting Methods.- 7.4.4. Other Methods.- 7.5. Mixed Spectral/Finite-Difference Methods.- 8. Compressible Flow.- 8.1. Introduction.- 8.2. Boundary Conditions for Hyperbolic Problems.- 8.3. Basic Results for Scalar Nonsmooth Problems.- 8.4. Homogeneous Turbulence.- 8.5. Shock-Capturing.- 8.5.1. Potential Flow.- 8.5.2. Ringleb Flow.- 8.5.3. Astrophysical Nozzle.- 8.6. Shock-Fitting.- 8.7. Reacting Flows.- 9. Global Approximation Results.- 9.1. Fourier Approximation.- 9.1.1. Inverse Inequalities for Trigonometric Polynomials.- 9.1.2. Estimates for the Truncation and Best Approximation Errors.- 9.1.3. Estimates for the Interpolation Error.- 9.2. Sturm—Liouville Expansions.- 9.2.1. Regular Sturm—Liouville Problems.- 9.2.2. Singular Sturm—Liouville Problems.- 9.3. Discrete Norms.- 9.4. Legendre Approximations.- 9.4.1. Inverse Inequalities for Algebraic Polynomials.- 9.4.2. Estimates for the Truncation and Best Approximation Errors.- 9.4.3. Estimates for the Interpolation Error.- 9.5. Chebyshev Approximations.- 9.5.1. Inverse Inequalities for Polynomials.- 9.5.2. Estimates for the Truncation and Best Approximation Errors.- 9.5.3. Estimates for the Interpolation Error.- 9.5.4. Proofs of Some Approximation Results.- 9.6. Other Polynomial Approximations.- 9.6.1. Jacobi Polynomials.- 9.6.2. Laguerre and Hermite Polynomials.- 9.7. Approximation Results in Several Dimensions.- 9.7.1. Fourier Approximations.- 9.7.2. Legendre Approximations.- 9.7.3. Chebyshev Approximations.- 9.7.4. Blended Fourier and Chebyshev Approximations.- 10. Theory of Stability and Convergence for Spectral Methods.- 10.1. The Three Examples Revisited.- 10.1.1. A Fourier Galerkin Method for the Wave Equation.- 10.1.2. A Chebyshev Collocation Method for the Heat Equation.- 10.1.3. A Legendre Tau Method for the Poisson Equation.- 10.2. Towards a General Theory.- 10.3. General Formulation of Spectral Approximations to Linear Steady Problems.- 10.4. Galerkin, Collocation and Tau Methods.- 10.4.1. Galerkin Methods.- 10.4.2. Tau Methods.- 10.4.3. Collocation Methods.- 10.5. General Formulation of Spectral Approximations to Linear Evolution Equations.- 10.5.1. Conditions for Stability and Convergence: The Parabolic Case.- 10.5.2. Conditions for Stability and Convergence: The Hyperbolic Case.- 10.6. The Error Equation.- 11. Steady, Smooth Problems.- 11.1. The Poisson Equation.- 11.1.1. Legendre Methods.- 11.1.2. Chebyshev Methods.- 11.1.3. Other Boundary Value Problems.- 11.2. Advection-Diffusion Equation.- 11.2.1. Linear Advection-Diffusion Equation.- 11.2.2. Steady Burgers Equation.- 11.3. Navier—Stokes Equations.- 11.3.1. Compatibility Conditions Between Velocity and Pressure.- 11.3.2. Direct Discretization of the Continuity Equation: The “inf-sup” Condition.- 11.3.3. Discretizations of the Continuity Equation by an Influence-Matrix Technique: The Kleiser—Schumann Method.- 11.3.4. Navier—Stokes Equations in Streamfunction Formulation.- 11.4. The Eigenvalues of Some Spectral Operators.- 11.4.1. The Discrete Eigenvalues for Lu = ? uxx.- 11.4.2. The Discrete Eigenvalues for Lu = ? vuxx + bux.- 11.4.3. The Discrete Eigenvalues for Lu = ux.- 12. Transient, Smooth Problems.- 12.1. Linear Hyperbolic Equations.- 12.1.1. Periodic Boundary Conditions.- 12.1.2. Non-Periodic Boundary Conditions.- 12.1.3. Hyperbolic Systems.- 12.1.4. Spectral Accuracy for Non-Smooth Solutions.- 12.2. Heat Equation.- 12.2.1. Semi-Discrete Approximation.- 12.2.2. Fully Discrete Approximation.- 12.3. Advection-Diffusion Equation.- 12.3.1. Semi-Discrete Approximation.- 12.3.2. Fully Discrete Approximation.- 13. Domain Decomposition Methods.- 13.1. Introduction.- 13.2. Patching Methods.- 13.2.1. Notation.- 13.2.2. Discretization.- 13.2.3. Solution Techniques.- 13.2.4. Examples.- 13.3. Variational Methods.- 13.3.1. Formulation.- 13.3.2. The Spectral-Element Method.- 13.4. The Alternating Schwarz Method.- 13.5. Mathematical Aspects of Domain Decomposition Methods.- 13.5.1. Patching Methods.- 13.5.2. Equivalence Between Patching and Variational Methods.- 13.6. Some Stability and Convergence Results.- 13.6.1. Patching Methods.- 13.6.2. Variational Methods.- Appendices.- A. Basic Mathematical Concepts.- B. Fast Fourier Transforms.- C. Jacobi—Gauss—Lobatto Roots.- References.
£71.24
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Nonlinear Continuum Mechanics of Solids: Fundamental Mathematical and Physical Concepts
Book SynopsisThe aim of the book is the presentation of the fundamental mathematical and physical concepts of continuum mechanics of solids in a unified description so as to bring young researchers rapidly close to their research area. Accordingly, emphasis is given to concepts of permanent interest, and details of minor importance are omitted. The formulation is achieved systematically in absolute tensor notation, which is almost exclusively used in modern literature. This mathematical tool is presented such that study of the book is possible without permanent reference to other works.Table of Contents1 Mathematical fundamentals.- 2 Deformation.- 3 Stresses.- 4 Time derivative.- 5 Balance laws.- 6 Constitutive modelling.- Appendix 1.- A1.1 Index notation.- A1.2 Metric tensor and geometrical properties.- A1.3 Vector decompositions, tensor components of first order.- A1.4 Definition of higher-order tensor components.- A1.5 Permutation tensor.- A1.6 Christoffel symbols, covariant differentiation.- References.
£85.49
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Convective and Advective Heat Transfer in Geological Systems
Book SynopsisThe study of heat transfer mechanisms in hydrothermal systems is important for understanding the basic physics behind orebody formation and mineralization in the upper crust (Bickle and Mckenzie 1987; Bjorlykke et al. 1988; Brady 1988; England and Thompson 1989; Hoisch 1991; Connolly 1997). Generally, heat energy may be transferred within the crust in the following forms: conduction, advection (including forced convection) where the heat is carried by a moving mass of rock during def- mation or by a moving uid, convection (i. e. , free convection, natural convection, buoyancy driven convection, temperature gradient driven convection) and a com- nation of these processes. Since advective ow is usually generated by a pore- uid pressure gradient, heat transfer due to advective ow is largely dependent on the pore- uid pressure gradient distribution in hydrothermal systems. A typical ex- ple of this advective ow is the upward through ow caused by lithostatic pore- uid pressure gradients within the lower crust. Extensive studies (Connolly and Ko 1995; Etheridge et al. 1983; England et al. 1987; Fyfe et al. 1978; Walther and Orville 1982; Peacock 1989; Yardley and Bottrell 1992; Hanson 1992; Yardley and Lloyd 1995; Norton and Knapp 1970) have shown that lithostatic pore- uid pressure can be built up by metamorphic uids arising from devolatilization and dehydration - actions, if the permeability is low enough to control uid ow in the lower crust.Table of ContentsDistribution of Pore-Fluid Pressure Gradient in the Crust with Temperature Neglected.- Pore-Fluid Pressure Gradients in the Crust with Heat Conduction and Advection.- Convective Heat Transfer in a Homogeneous Crust.- Convective Heat Transfer in a Heterogeneous Crust.- Pore-Fluid Focusing within Two-Dimensional Faults and Cracks of Crustal Scales with No Temperature Effects: Solutions Expressed in a Local Coordinate System.- Pore-Fluid Focusing within Two-Dimensional Faults and Cracks of Crustal Scales with No Temperature Effects: Solutions Expressed in a Global Coordinate System.- Pore-Fluid Flow Focused Transient Heat Transfer within and around Two-Dimensional Faults and Cracks of Crustal Scales.- Convective Heat Transfer within Three-Dimensional Vertical Faults Heated from Below.- Convective Heat Transfer within Three-Dimensional Inclined Faults Heated from Below.- Double-Diffusion Driven Convective Heat Transfer within Three-Dimensional Vertical Faults Heated from Below.- Convection Induced Ore Body Formation and Mineralization within the Upper Crust of the Earth.
£85.49
