Classical mechanics Books
Springer New York Geophysical Fluid Dynamics
Book SynopsisRevised and updated, it includes expanded discussions of * the fundamentals of geostrophic turbulence * the theory of wave-mean flow interaction * thermocline theory * finite amplitude barocline instability.Trade ReviewFrom the reviews"The author has done a masterful job in presenting the theory with the necessary mathematical foundation, while keeping the physical aspects in clear view ... it is an outstanding introduction to a complex and important subject." (GEOPHYSICS)Table of ContentsPreliminaries * Fundamentals * Inviscid Shallow-Water Theory * Friction and Viscous Flow * Homogeneous Models of the Wind-Driven Oceanic Circulation * Quasigeostrophic Motion of a Stratified Fluid on a Sphere * Instability Theory * Ageostrophic Motion
£85.49
Springer New York Brownian Motion and Stochastic Calculus
Book Synopsis1 Martingales, Stopping Times, and Filtrations.- 1.1. Stochastic Processes and ?-Fields.- 1.2. Stopping Times.- 1.3. Continuous-Time Martingales.- 1.4. The DoobMeyer Decomposition.- 1.5. Continuous, Square-Integrable Martingales.- 1.6. Solutions to Selected Problems.- 1.7. Notes.- 2 Brownian Motion.- 2.1. Introduction.- 2.2. First Construction of Brownian Motion.- 2.3. Second Construction of Brownian Motion.- 2.4. The SpaceC[0, ?), Weak Convergence, and Wiener Measure.- 2.5. The Markov Property.- 2.6. The Strong Markov Property and the Reflection Principle.- 2.7. Brownian Filtrations.- 2.8. Computations Based on Passage Times.- 2.9. The Brownian Sample Paths.- 2.10. Solutions to Selected Problems.- 2.11. Notes.- 3 Stochastic Integration.- 3.1. Introduction.- 3.2. Construction of the Stochastic Integral.- 3.3. The Change-of-Variable Formula.- 3.4. Representations of Continuous Martingales in Terms of Brownian Motion.- 3.5. The Girsanov Theorem.- 3.6. Local Time and a Generalized Itô Rule for Brownian Motion.- 3.7. Local Time for Continuous Semimartingales.- 3.8. Solutions to Selected Problems.- 3.9. Notes.- 4 Brownian Motion and Partial Differential Equations.- 4.1. Introduction.- 4.2. Harmonic Functions and the Dirichlet Problem.- 4.3. The One-Dimensional Heat Equation.- 4.4. The Formulas of Feynman and Kac.- 4.5. Solutions to selected problems.- 4.6. Notes.- 5 Stochastic Differential Equations.- 5.1. Introduction.- 5.2. Strong Solutions.- 5.3. Weak Solutions.- 5.4. The Martingale Problem of Stroock and Varadhan.- 5.5. A Study of the One-Dimensional Case.- 5.6. Linear Equations.- 5.7. Connections with Partial Differential Equations.- 5.8. Applications to Economics.- 5.9. Solutions to Selected Problems.- 5.10. Notes.- 6 P. Lévy's Theory of Brownian Local Time.-6.1. Introduction.- 6.2. Alternate Representations of Brownian Local Time.- 6.3. Two Independent Reflected Brownian Motions.- 6.4. Elastic Brownian Motion.- 6.5. An Application: Transition Probabilities of Brownian Motion with Two-Valued Drift.- 6.6. Solutions to Selected Problems.- 6.7. Notes.Trade ReviewSecond Edition I. Karatzas and S.E. Shreve Brownian Motion and Stochastic Calculus "A valuable book for every graduate student studying stochastic process, and for those who are interested in pure and applied probability. The authors have done a good job."—MATHEMATICAL REVIEWSTable of Contents1 Martingales, Stopping Times, and Filtrations.- 1.1. Stochastic Processes and ?-Fields.- 1.2. Stopping Times.- 1.3. Continuous-Time Martingales.- A. Fundamental inequalities.- B. Convergence results.- C. The optional sampling theorem.- 1.4. The Doob—Meyer Decomposition.- 1.5. Continuous, Square-Integrable Martingales.- 1.6. Solutions to Selected Problems.- 1.7. Notes.- 2 Brownian Motion.- 2.1. Introduction.- 2.2. First Construction of Brownian Motion.- A. The consistency theorem.- B. The Kolmogorov—?entsov theorem.- 2.3. Second Construction of Brownian Motion.- 2.4. The SpaceC[0, ?), Weak Convergence, and Wiener Measure.- A. Weak convergence.- B. Tightness.- C. Convergence of finite-dimensional distributions.- D. The invariance principle and the Wiener measure.- 2.5. The Markov Property.- A. Brownian motion in several dimensions.- B. Markov processes and Markov families.- C. Equivalent formulations of the Markov property.- 2.6. The Strong Markov Property and the Reflection Principle.- A. The reflection principle.- B. Strong Markov processes and families.- C. The strong Markov property for Brownian motion.- 2.7. Brownian Filtrations.- A. Right-continuity of the augmented filtration for a strong Markov process.- B. A “universal” filtration.- C. The Blumenthal zero-one law.- 2.8. Computations Based on Passage Times.- A. Brownian motion and its running maximum.- B. Brownian motion on a half-line.- C. Brownian motion on a finite interval.- D. Distributions involving last exit times.- 2.9. The Brownian Sample Paths.- A. Elementary properties.- B. The zero set and the quadratic variation.- C. Local maxima and points of increase.- D. Nowhere differentiability.- E. Law of the iterated logarithm.- F. Modulus of continuity.- 2.10. Solutions to Selected Problems.- 2.11. Notes.- 3 Stochastic Integration.- 3.1. Introduction.- 3.2. Construction of the Stochastic Integral.- A. Simple processes and approximations.- B. Construction and elementary properties of the integral.- C. A characterization of the integral.- D. Integration with respect to continuous, local martingales.- 3.3. The Change-of-Variable Formula.- A. The Itô rule.- B. Martingale characterization of Brownian motion.- C. Bessel processes, questions of recurrence.- D. Martingale moment inequalities.- E. Supplementary exercises.- 3.4. Representations of Continuous Martingales in Terms of Brownian Motion.- A. Continuous local martingales as stochastic integrals with respect to Brownian motion.- B. Continuous local martingales as time-changed Brownian motions.- C. A theorem of F. B. Knight.- D. Brownian martingales as stochastic integrals.- E. Brownian functionals as stochastic integrals.- 3.5. The Girsanov Theorem.- A. The basic result.- B. Proof and ramifications.- C. Brownian motion with drift.- D. The Novikov condition.- 3.6. Local Time and a Generalized Itô Rule for Brownian Motion.- A. Definition of local time and the Tanaka formula.- B. The Trotter existence theorem.- C. Reflected Brownian motion and the Skorohod equation.- D. A generalized Itô rule for convex functions.- E. The Engelbert—Schmidt zero-one law.- 3.7. Local Time for Continuous Semimartingales.- 3.8. Solutions to Selected Problems.- 3.9. Notes.- 4 Brownian Motion and Partial Differential Equations.- 4.1. Introduction.- 4.2. Harmonic Functions and the Dirichlet Problem.- A. The mean-value property.- B. The Dirichlet problem.- C. Conditions for regularity.- D. Integral formulas of Poisson.- E. Supplementary exercises.- 4.3. The One-Dimensional Heat Equation.- A. The Tychonoff uniqueness theorem.- B. Nonnegative solutions of the heat equation.- C. Boundary crossing probabilities for Brownian motion.- D. Mixed initial/boundary value problems.- 4.4. The Formulas of Feynman and Kac.- A. The multidimensional formula.- B. The one-dimensional formula.- 4.5. Solutions to selected problems.- 4.6. Notes.- 5 Stochastic Differential Equations.- 5.1. Introduction.- 5.2. Strong Solutions.- A. Definitions.- B. The Itô theory.- C. Comparison results and other refinements.- D. Approximations of stochastic differential equations.- E. Supplementary exercises.- 5.3. Weak Solutions.- A. Two notions of uniqueness.- B. Weak solutions by means of the Girsanov theorem.- C. A digression on regular conditional probabilities.- D. Results of Yamada and Watanabe on weak and strong solutions.- 5.4. The Martingale Problem of Stroock and Varadhan.- A. Some fundamental martingales.- B. Weak solutions and martingale problems.- C. Well-posedness and the strong Markov property.- D. Questions of existence.- E. Questions of uniqueness.- F. Supplementary exercises.- 5.5. A Study of the One-Dimensional Case.- A. The method of time change.- B. The method of removal of drift.- C. Feller’s test for explosions.- D. Supplementary exercises.- 5.6. Linear Equations.- A. Gauss—Markov processes.- B. Brownian bridge.- C. The general, one-dimensional, linear equation.- D. Supplementary exercises.- 5.7. Connections with Partial Differential Equations.- A. The Dirichlet problem.- B. The Cauchy problem and a Feynman—Kac representation.- C. Supplementary exercises.- 5.8. Applications to Economics.- A. Portfolio and consumption processes.- B. Option pricing.- C. Optimal consumption and investment (general theory).- D. Optimal consumption and investment (constant coefficients).- 5.9. Solutions to Selected Problems.- 5.10. Notes.- 6 P. Lévy’s Theory of Brownian Local Time.- 6.1. Introduction.- 6.2. Alternate Representations of Brownian Local Time.- A. The process of passage times.- B. Poisson random measures.- C. Subordinators.- D. The process of passage times revisited.- E. The excursion and downcrossing representations of local time.- 6.3. Two Independent Reflected Brownian Motions.- A. The positive and negative parts of a Brownian motion.- B. The first formula of D. Williams.- C. The joint density of (W(t), L(t), ? +(t)).- 6.4. Elastic Brownian Motion.- A. The Feynman—Kac formulas for elastic Brownian motion.- B. The Ray—Knight description of local time.- C. The second formula of D. Williams.- 6.5. An Application: Transition Probabilities of Brownian Motion with Two-Valued Drift.- 6.6. Solutions to Selected Problems.- 6.7. Notes.
£40.49
Springer New York A Mathematical Introduction to Fluid Mechanics
Book SynopsisThe text illustrates the physical background and motivation for some constructions used in recent mathematical and numerical work on the Navier- Stokes equations and on hyperbolic systems, so as to interest students in this at once beautiful and difficult subject.Trade Review From the reviews: "… The book contains some of the basic ideas of fluid mechanics in a mathematically attractive manner...has the very advantage of providing the solution of the differential equations using the new and modern techniques...the material is very well presented both the mathematical arguments as well as the physical input." PhysicaliaTable of ContentsPreface.- 1. The Equations of Motion: 1.1. Euler's Equations. 1.2. Rotation and Vorticity. 1.3. The Navier-Stokes Equations.- 2. Potential Flow and Slightly Viscous Flow: 2.1. Potential Flow. 2.2. Boundary Layers. 2.3. Vortex Sheets. 2.4. Remarks on Stability and Bifurcation.- 3. Gas Flow in One Dimension: 3.1. Characteristics. 3.2. Shocks. 3.3. The Riemann Problem. 3.4. Combustion Waves.
£75.99
Springer-Verlag New York Inc. The Nonlinear Schrödinger Equation
Book SynopsisFilling the gap between the mathematical literature and applications to domains, the authors have chosen to address the problem of wave collapse by several methods ranging from rigorous mathematical analysis to formal aymptotic expansions and numerical simulations.Table of ContentsBasic Framework.- The Physical Context.- Structural Properties.- Rigorous Theory.- Existence and Long-Time Behavior.- Standing Wave Solutions.- Blowup Solutions.- Asymptotic Analysis near Collapse.- Numerical Observations.- Supercritical Collapse.- Critical Collapse.- Perturbations of Focusing NLS.- Coupling to a Mean Field.- Mean Field Generation.- Gravity-Capillary Surface Waves.- The Davey-Stewartson System.- Coupling to Acoustic Waves.- Langmuir Oscillations.- The Scalar Model.- Progressive Waves in Plasmas.
£97.49
Springer New York Stability and Transition in Shear Flows
Book SynopsisBy including classical results as well as recent developments in the field of hydrodynamic stability and transition, the book can be used as a textbook for an introductory, graduate-level course in stability theory or for a special-topics fluids course.Trade ReviewFrom the reviews: SIAM REVIEW "This book presents a modern treatment of stability in shear flows. Stability theory has seen a number of classic treatments over the years…Schmid and Henningson’s book builds on these and offers much new material relevant to stability in shear flows…The MATLAB codes included in the appendix and a discussion of the effects of rounding error and resolution on the computations of eigenvalues of linear stability operators will be particularly helpful for students and researchers as they get started with stability computations…As the basis for a course, the first part of the book would permit students to build a solid foundation in classical and modern stability theory, while a selection of advanced topics from the second half of the book could be treated later in the course or through projects and independent study by students." ZENTRALBLATT MATH "The book addresses to graduate students as well as to a broad community of researchers with a basic knowledge of fundamental fluid dynamics…The topics are treated with mathematical rigor while the physical motivation and usefulness of mathematical concepts is kept close at hand. The work is elegantly structured, and the graphical material is very suggestive."Table of Contents1 Introduction and General Results.- 1.1 Introduction.- 1.2 Nonlinear Disturbance Equations.- 1.3 Definition of Stability and Critical Reynolds Numbers.- 1.3.1 Definition of Stability.- 1.3.2 Critical Reynolds Numbers.- 1.3.3 Spatial Evolution of Disturbances.- 1.4 The Reynolds-Orr Equation.- 1.4.1 Derivation of the Reynolds-Orr Equation.- 1.4.2 The Need for Linear Growth Mechanisms.- I Temporal Stability of Parallel Shear Flows.- 2 Linear Inviscid Analysis.- 2.1 Inviscid Linear Stability Equations.- 2.2 Modal Solutions.- 2.2.1 General Results.- 2.2.2 Dispersive Effects and Wave Packets.- 2.3 Initial Value Problem.- 2.3.1 The Inviscid Initial Value Problem.- 2.3.2 Laplace Transform Solution.- 2.3.3 Solutions to the Normal Vorticity Equation.- 2.3.4 Example: Couette Flow.- 2.3.5 Localized Disturbances.- 3 Eigensolutions to the Viscous Problem.- 3.1 Viscous Linear Stability Equations.- 3.1.1 The Velocity-Vorticity Formulation.- 3.1.2 The Orr-Sommerfeld and Squire Equations.- 3.1.3 Squire’s Transformation and Squire’s Theorem.- 3.1.4 Vector Modes.- 3.1.5 Pipe Flow.- 3.2 Spectra and Eigenfunctions.- 3.2.1 Discrete Spectrum.- 3.2.2 Neutral Curves.- 3.2.3 Continuous Spectrum.- 3.2.4 Asymptotic Results.- 3.3 Further Results on Spectra and Eigenfunctions.- 3.3.1 Adjoint Problem and Bi-Orthogonality Condition.- 3.3.2 Sensitivity of Eigenvalues.- 3.3.3 Pseudo-Eigenvalues.- 3.3.4 Bounds on Eigenvalues.- 3.3.5 Dispersive Effects and Wave Packets.- 4 The Viscous Initial Value Problem.- 4.1 The Viscous Initial Value Problem.- 4.1.1 Motivation.- 4.1.2 Derivation of the Disturbance Equations.- 4.1.3 Disturbance Measure.- 4.2 The Forced Squire Equation and Transient Growth.- 4.2.1 Eigenfunction Expansion.- 4.2.2 Blasius Boundary Layer Flow.- 4.3 The Complete Solution to the Initial Value Problem.- 4.3.1 Continuous Formulation.- 4.3.2 Discrete Formulation.- 4.4 Optimal Growth.- 4.4.1 The Matrix Exponential.- 4.4.2 Maximum Amplification.- 4.4.3 Optimal Disturbances.- 4.4.4 Reynolds Number Dependence of Optimal Growth.- 4.5 Optimal Response and Optimal Growth Rate.- 4.5.1 The Forced Problem and the Resolvent.- 4.5.2 Maximum Growth Rate.- 4.5.3 Response to Stochastic Excitation.- 4.6 Estimates of Growth.- 4.6.1 Bounds on Matrix Exponential.- 4.6.2 Conditions for No Growth.- 4.7 Localized Disturbances.- 4.7.1 Choice of Initial Disturbances.- 4.7.2 Examples.- 4.7.3 Asymptotic Behavior.- 5 Nonlinear Stability.- 5.1 Motivation.- 5.1.1 Introduction.- 5.1.2 A Model Problem.- 5.2 Nonlinear Initial Value Problem.- 5.2.1 The Velocity-Vorticity Equations.- 5.3 Weakly Nonlinear Expansion.- 5.3.1 Multiple-Scale Analysis.- 5.3.2 The Landau Equation.- 5.4 Three-Wave Interactions.- 5.4.1 Resonance Conditions.- 5.4.2 Derivation of a Dynamical System.- 5.4.3 Triad Interactions.- 5.5 Solutions to the Nonlinear Initial Value Problem.- 5.5.1 Formal Solutions to the Nonlinear Initial Value Problem.- 5.5.2 Weakly Nonlinear Solutions and the Center Manifold.- 5.5.3 Nonlinear Equilibrium States.- 5.5.4 Numerical Solutions for Localized Disturbances.- 5.6 Energy Theory.- 5.6.1 The Energy Stability Problem.- 5.6.2 Additional Constraints.- II Stability of Complex Flows and Transition.- 6 Temporal Stability of Complex Flows.- 6.1 Effect of Pressure Gradient and Crossflow.- 6.1.1 Falkner-Skan (FS) Boundary Layers.- 6.1.2 Falkner-Skan-Cooke (FSC) Boundary layers.- 6.2 Effect of Rotation and Curvature.- 6.2.1 Curved Channel Flow.- 6.2.2 Rotating Channel Flow.- 6.2.3 Combined Effect of Curvature and Rotation.- 6.3 Effect of Surface Tension.- 6.3.1 Water Table Flow.- 6.3.2 Energy and the Choice of Norm.- 6.3.3 Results.- 6.4 Stability of Unsteady Flow.- 6.4.1 Oscillatory Flow.- 6.4.2 Arbitrary Time Dependence.- 6.5 Effect of Compressibility.- 6.5.1 The Compressible Initial Value Problem.- 6.5.2 Inviscid Instabilities and Rayleigh’s Criterion.- 6.5.3 Viscous Instability.- 6.5.4 Nonmodal Growth.- 7 Growth of Disturbances in Space.- 7.1 Spatial Eigenvalue Analysis.- 7.1.1 Introduction.- 7.1.2 Spatial Spectra.- 7.1.3 Gaster’s Transformation.- 7.1.4 Harmonic Point Source.- 7.2 Absolute Instability.- 7.2.1 The Concept of Absolute Instability.- 7.2.2 Briggs’ Method.- 7.2.3 The Cusp Map.- 7.2.4 Stability of a Two-Dimensional Wake.- 7.2.5 Stability of Rotating Disk Flow.- 7.3 Spatial Initial Value Problem.- 7.3.1 Primitive Variable Formulation.- 7.3.2 Solution of the Spatial Initial Value Problem.- 7.3.3 The Vibrating Ribbon Problem.- 7.4 Nonparallel Effects.- 7.4.1 Asymptotic Methods.- 7.4.2 Parabolic Equations for Steady Disturbances.- 7.4.3 Parabolized Stability Equations (PSE).- 7.4.4 Spatial Optimal Disturbances.- 7.4.5 Global Instability.- 7.5 Nonlinear Effects.- 7.5.1 Nonlinear Wave Interactions.- 7.5.2 Nonlinear Parabolized Stability Equations.- 7.5.3 Examples.- 7.6 Disturbance Environment and Receptivity.- 7.6.1 Introduction.- 7.6.2 Nonlocalized and Localized Receptivity.- 7.6.3 An Adjoint Approach to Receptivity.- 7.6.4 Receptivity Using Parabolic Evolution Equations.- 8 Secondary Instability.- 8.1 Introduction.- 8.2 Secondary Instability of Two-Dimensional Waves.- 8.2.1 Derivation of the Equations.- 8.2.2 Numerical Results.- 8.2.3 Elliptical Instability.- 8.3 Secondary Instability of Vortices and Streaks.- 8.3.1 Governing Equations.- 8.3.2 Examples of Secondary Instability of Streaks and Vortices.- 8.4 Eckhaus Instability.- 8.4.1 Secondary Instability of Parallel Flows.- 8.4.2 Parabolic Equations for Spatial Eckhaus Instability.- 9 Transition to Turbulence.- 9.1 Transition Scenarios and Thresholds.- 9.1.1 Introduction.- 9.1.2 Three Transition Scenarios.- 9.1.3 The Most Likely Transition Scenario.- 9.1.4 Conclusions.- 9.2 Breakdown of Two-Dimensional Waves.- 9.2.1 The Zero Pressure Gradient Boundary Layer.- 9.2.2 Breakdown of Mixing Layers.- 9.3 Streak Breakdown.- 9.3.1 Streaks Forced by Blowing or Suction.- 9.3.2 Freestream Turbulence.- 9.4 Oblique Transition.- 9.4.1 Experiments and Simulations in Blasius Flow.- 9.4.2 Transition in a Separation Bubble.- 9.4.3 Compressible Oblique Transition.- 9.5 Transition of Vortex-Dominated Flows.- 9.5.1 Transition in Flows with Curvature.- 9.5.2 Direct Numerical Simulations of Secondary Instability of Crossflow Vortices.- 9.5.3 Experimental Investigations of Breakdown of Cross-flow Vortices.- 9.6 Breakdown of Localized Disturbances.- 9.6.1 Experimental Results for Boundary Layers.- 9.6.2 Direct Numerical Simulations in Boundary Layers.- 9.7 Transition Modeling.- 9.7.1 Low-Dimensional Models of Subcritical Transition.- 9.7.2 Traditional Transition Prediction Models.- 9.7.3 Transition Prediction Models Based on Nonmodal Growth.- 9.7.4 Nonlinear Transition Modeling.- III Appendix.- A Numerical Issues and Computer Programs.- A.1 Global versus Local Methods.- A.2 Runge-Kutta Methods.- A.3 Chebyshev Expansions.- A.4 Infinite Domain and Continuous Spectrum.- A.5 Chebyshev Discretization of the Orr-Sommerfeld Equation.- A.6 MATLAB Codes for Hydrodynamic Stability Calculations.- A.7 Eigenvalues of Parallel Shear Flows.- B Resonances and Degeneracies.- B.1 Resonances and Degeneracies.- B.2 Orr-Sommerfeld-Squire Resonance.- C Adjoint of the Linearized Boundary Layer Equation.- C.1 Adjoint of the Linearized Boundary Layer Equation.- D Selected Problems on Part I.
£237.49
Elsevier Science Elasticity
Book Synopsis
£89.96
John Wiley & Sons Inc Stochastic Dynamical Systems
Book SynopsisThis unique volume introduces the reader to the mathematical language for complex systems and is ideal for students who are starting out in the study of stochastical dynamical systems. Unlike other books in the field, it covers a broad array of stochastic and statistical methods.Table of ContentsFrom the Contents: Stochastic Processes and Complex Systems/ Random Variables/ Analysis of Stationary Data/ Deduction of Models from Data/ Classification Methods/ Basic Equations for Stochastic Processes/ Master Equations/ Numerical Methods for the Solution of Master Equations/ Stochastic Differential Equations: Analytical Procedures/ Numerical Methods for Stochastic Differential Equations/ Functional Integrals in Stochastics/ Perturbation Theory and Approximations that Go Further/ Time Series/ Linear Models for Stochastic Processes
£285.26
Wiley Friction and Wear of Materials
Book SynopsisFriction and Wear of Materials Second Edition Written by one of the world''s foremost authorities on friction, this classic book offers a lucid presentation of the theory of mechanical surface interactions as it applies to friction, wear, adhesion, and boundary lubrication. To aid engineers in design decisions, Friction and Wear of Materials evaluates the properties of materials which, under specified conditions, cause one material to function better as a bearing material than another. Featured also are thorough treatments of lubricants and the sizes and shapes of wear particles. This updated Second Edition includes new material on erosive wear, impact wear, and friction. Professor Rabinowicz''s book will be especially welcomed by mechanical and design engineers, surface scientists, tribologists and others who design, produce and operate products, machines and equipment which involve friction and its effects.Table of ContentsMaterial Properties That Influence Surface Interactions. Surface Interactions. Friction. Types of Wear. Adhesive Wear. Abrasive and Other Types of Wear. Lubrication. Adhesion. Appendix. Sample Problems. Index.
£131.35
John Wiley & Sons Inc Chemical Modeling
Book SynopsisThis text enables the reader to discuss everyday scientific topics in terms of the basic properties of the atoms, molecules, and polymer chains that go to make up a material. It also discusses the interactions between these fundamental building blocks.Trade Review"the book is a valuable contribution to understanding the behavior of solids, liquids and gases..." --Colloid Polymer Science, June 2000 "An achievement of the author is the presentation of such sophisticated material in an interesting way." --High Temperatures - High Pressures, Vol 32/4, 2000Table of ContentsDescribing Macroscopic Systems. Thermodynamics. Résumé of Classical Mechanics. Modeling Simple Solids (i). Introduction to Quantum Mechanics. Electric Multipoles, Polarizabilities and Intermolecular Forces. Some Statistical Ideas. Applications of the Boltzmann Distribution. Modeling Simple Solids (ii). Molecular Mechanics. Molecular Dynamics and Monte Carlo Techniques. The Ideal Monatomic Gas. Quantum Gases. Introduction to Statistical Thermodynamics. Modeling Atoms. Diatomics. Quantum Modeling of Larger Systems. Describing Electron Correlation. The Band Theory of Solids. Modeling Polymeric Materials. Modeling Liquids. Appendices. Suggestions for Further Reading. Index.
£80.96
Dover Publications Inc. Mechanics
Book SynopsisAn excellent refresher volume as well as a classic introductory text, this book features hundreds of applications and design problems that illuminate fundamentals of trusses, loaded beams and cables, and related areas. Includes 334 answered problems.
£13.04
University of California Press The Principia The Authoritative Translation
Book SynopsisDescribes the acceleration, deceleration, and inertial movement; fluid dynamics; and the motions of the earth, moon, planets, and comets. This title deals with the fundamental three laws of motion and the law of universal gravity, and more. It is suitable for scientists, scholars, and students.
£39.10
University of California Press The Principia The Authoritative Translation
Book SynopsisDescribes the acceleration, deceleration, and inertial movement; fluid dynamics; and the motions of the earth, moon, planets, and comets. This title deals with the fundamental three laws of motion and the law of universal gravity. It is suitable for scientists, scholars, and students.
£16.14
University of California Press The Fundamental Equations of Dynamics and Its Main Coordinate Systems Vectorially Treated and Illustrated from Rigid Dynamics
Book SynopsisThis title is part of UC Press's Voices Revived program, which commemorates University of California Pressâs mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1918.
£80.00
University of California Press The Fundamental Equations of Dynamics and Its Main Coordinate Systems Vectorially Treated and Illustrated from Rigid Dynamics
Book SynopsisThis title is part of UC Press's Voices Revived program, which commemorates University of California Pressâs mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1918.
£39.74
Cambridge University Press Dynamics of Particles and Rigid Bodies A Systematic Approach
Book SynopsisThis 2006 book is intended for undergraduate courses in dynamics. The work is a unique blend of conceptual, theoretical, and practical aspects of dynamics generally not found in dynamics books at the undergraduate level. In particular, in this book the concepts are developed in a highly rigorous manner and are applied to examples using a step-by-step approach that is completely consistent with the theory. In addition, for clarity, the notation used to develop the theory is identical to that used to solve example problems. The result of this approach is that a student is able to see clearly the connection between the theory and the application of theory to example problems. While the material is not new, instructors and their students will appreciate the highly pedagogical approach that aids in the mastery and retention of concepts. The approach used in this book teaches a student to develop a systematic approach to problem-solving.Trade ReviewThe book leads students from first principles through problem solving. It includes lots of detailed solutions to example problems, a wide range of possible homework problems, and beautiful figures and diagrams. The prose flows smoothly and is written with clarity. Choice"All examples are worked in detail, are tied in well with the text, and are accompanied by excellent illustrations. These examples are a great aid to learning the material and will leave the student in good shape for solving the complex problems that will come up in the 'real world'." Mark D. Ardema, Santa Clara University, SIAM ReviewTable of Contents1. Introductory concepts; 2. Kinematics; 3. Kinetics of particles; 4. Kinetics of a system of particles; 5. Kinetics of rigid bodies; A. Principal-axis moments of inertia of homogeneous bodies; B. Identities, derivatives, integrals and gradient; C. Answers to selected problems; Bibliography.
£54.99
Cambridge University Press Three Hundred Years of Gravitation
Book SynopsisTo commemorate the 300th anniversary of the publication of Isaac Newton's Philosophiae Naturalis Principia Mathematica, Stephen Hawking and Werner Israel have assembled a series of unique review papers by many of the world's foremost researchers in cosmology, relativity and particle physics. The resulting volume reflects the significant and exciting advances that have been made in these fields since the editor's acclaimed volume published in 1979: General Relativity: An Einstein Centenary Survey. Newton's immense contribution to the physical sciences is assessed, and its relevance to today's physics made clear. The international contributors then chart the major developments in the study of gravitation, from Newtonian gravity to black hole physics. In the fields of galaxy formation, inflationary and quantum cosmology, and superstring unification, the book provides important overviews written by workers involved in many of the advances described. By shaping such a wide-ranging and scholTrade Review"...the papers in this collection show us that it [the study of gravitation] is exciting, provocative and stimulating..." Physics Today"..[I] have not found a comparable compilation of valuable information on the current status of general relativity." American ScientistTable of ContentsPreface; 1. Newton's Principia S. W. Hawking; 2. Newtonianism and today's physics S. Weinberg; 3. Newton, quantum theory and reality R. Penrose; 4. Experiments on gravitation A. H. Cook; 5. Experimental gravitation from Newton's Principia to Einstein's general relativity C. M. Will; 6. The problem of motion in Newtonian and Einsteinian gravity T. Damour; 7. Dark stars: the evolution of an idea W. Israel; 8. Astrophysical black holes R. D. Blandford; 9. Gravitational radiation K. S. Thorne; 10. The emergence of structure in the universe: galaxy formation and dark matter M. J. Rees; 11. Gravitational interactions of cosmic strings A. Vilenkin; 12. Inflationary cosmology S. K. Blau and A. H. Guth; 13. Inflation and quantum cosmology A. Linde; 14. Quantum cosmology S. W. Hawking; 15. Superstring unification J. H. Schwartz; 16. Covariant description of canonical formalism in geometrical theories C. Crnkowic and E. Witten; Index.
£55.40
Cambridge University Press The Mechanics and Thermodynamics of Continua
Book SynopsisA consolidated treatment of continuum mechanics and thermodynamics that stresses the universal status of the basic balances and the entropy imbalance. The Mechanics and Thermodynamics of Continua is written for engineers, physicists and mathematicians.Trade Review"The monograph presents a detailed and complete treatment of continuum mechanics and thermodynamics" - Ion Nistor, Mathematical ReviewsTable of ContentsPart I. Vector and Tensor Algebra; Part II. Vector and Tensor Analysis; Part III. Kinematics; Part IV. Basic Mechanical Principles; Part V. Basic Thermodynamical Principles; Part VI. Mechanical and Thermodynamical Laws at a Shock Wave; Part VII. Basic Requirements for Developing Physically Meaningful Constitutive Theories; Part VIII. Rigid Heat Conductors; Part IX. The Mechanical Theory of Compressible and Incompressible Fluids; Part X. Mechanical Theory of Elastic Solids; Part XI. Thermoelasticity; Part XII. Species Diffusion Coupled to Elasticity; Part XIII. Theory of Isotropic Plastic Solids Undergoing Small Deformations; Part XIV. Small Deformation, Isotropic Plasticity Based on the Principle of Virtual Power; Part XV. Small Deformation, Isotropic Plasticity Based on the Principle of Virtual Power; Part XVI. Large-Deformation Theory of Isotropic Plastic Solids; Part XVII. Theory of Single Crystals Undergoing Small Deformations; Part XVIII. Single Crystals Undergoing Large Deformations.
£89.99
Cambridge University Press Reciprocity in Elastodynamics
Book SynopsisProfessor Achenbach discusses uses of reciprocity relations for the determination of elastodynamic fields, and presents a novel method to solve for wave fields by reciprocity of the actual field with a so-called virtual solution, shedding new light on the use of reciprocity relations for dynamic fields in elastic bodies.Trade Review'… this book provides a good basis for research workers in such fields who want to develop their knowledge in reciprocity formulations in elastodynamics.' ZAMM'This book is a delight to read. No matter how complicated a particular reasoning or derivation may be, every step is explained with insight and clarity that make the material easily accessible and enjoyable for beginners and experts alike. High-quality copyediting, printing, and page layout by Cambridge University Press complement this impression. If there has ever been a page-turner written on elastodynamics, this is the one.' Journal of Sound and VibrationTable of Contents1. Introduction; 2. Some elastodynamic theory; 3. Wave motion in an unbounded elastic solid; 4. Some simple applications of reciprocity; 5. Wave motion guided by a carrier wave; 6. Waves in an elastic layer; 7. Reciprocity considerations for the elastic layer; 8. Forced motion of an elastic layer; 9. Integral representations and integral equations; 10. Scattering waveguides and bounded bodies; Bibliography; Index.
£105.45
Cengage Learning, Inc Classical Dynamics of Particles and Systems
Book SynopsisThis classical mechanics text provides a complete account of the classical mechanics of particles, systems of particles, and rigid bodies. The authors make extensive use of vector calculus to explore topics; coverage also includes the Lagrangian formulation of mechanics.
£207.94
Princeton University Press Mathematical Foundations of Quantum Mechanics
Book SynopsisShows that great insights in quantum physics can be obtained by exploring the mathematical structure of quantum mechanics. This title presents the theory of Hermitean operators and Hilbert spaces.Trade Review"It remains indispensable to those who desire a rigorous presentation of the foundations of the subject."--Quarterly of Applied Mathematics "The translator and publisher have performed a service in making the classic available to a wider circle of English-speaking readers. It remains indispensable to those who desire a rigorous presentation of the foundations of the subject."--A. F. Stevenson, Quarterly of Applied Mathematics
£76.00
Princeton University Press Introduction to NonLinear Mechanics
Book SynopsisThe description for this book, Introduction to Non-Linear Mechanics. (AM-11), will be forthcoming.Table of Contents*Frontmatter, pg. i*INTRODUCTION, pg. v*TABLE OF CONTENTS, pg. vii*I. SOME NON-LINEAR OSCILLATORY SYSTEMS, pg. 1*II. ELEMENTARY THEORY OF THE FIRST APPROXIMATION, pg. 8*III. REFINEMENT OF THE FIRST APPROXIMATION, pg. 28*IV. CONSTRUCTION OF THE HIGHER APPROXIMATIONS, pg. 40*V. LINEARIZATION, pg. 55*VI. APPLICATION OF SYMBOLIC METHODS TO LINEARIZATION, pg. 63*VII. MULTIPLY PERIODIC SYSTEMS, pg. 73*VIII. INFLUENCE OF PERIODIC DISTURBANCES, pg. 79*IX. COMPLEMENTS, pg. 87*BIBLIOGRAPHY, pg. 100*ERRATA, pg. 106
£36.00
Princeton University Press Statistical Mechanics in a Nutshell
Book SynopsisStatistical mechanics is one of the most important areas of physics, and it also has applications to subjects as diverse as economics, social behavior, algorithmic theory, and evolutionary biology. This bokk introduces important developments in classical statistical mechanics, and guides readers to the very threshold of research.Trade Review"Unlike typical textbooks ... [Statistical Mechanics in a Nutshell] presents statistical mechanics as a more general theory with broader applications... A graduate student or researcher who wants to explore the applications of statistical mechanics would be very well served by this book."--Choice "Peliti's Statistical Mechanics in a Nutshell is a fantastic reference for those who know the subject, teach it, or need a quick technical reminder, especially on the topic of phase transitions, which are consistently featured in modern-day discussions... Statistical Mechanics in a Nutshell provides the more general overview, with topics such as the renormalization group method. It includes a good mix of fundamental thermodynamics, phase behaviour, and other key subjects."--Physics TodayTable of ContentsPreface to the English Edition xi Preface xiii Chapter 1: Introduction 1 1.1 The Subject Matter of Statistical Mechanics 1 1.2 Statistical Postulates 3 1.3 An Example: The Ideal Gas 3 1.4 Conclusions 7 Recommended Reading 8 Chapter 2: Thermodynamics 9 2.1 Thermodynamic Systems 9 2.2 Extensive Variables 11 2.3 The Central Problem of Thermodynamics 12 2.4 Entropy 13 2.5 Simple Problems 14 2.6 Heat and Work 18 2.7 The Fundamental Equation 23 2.8 Energy Scheme 24 2.9 Intensive Variables and Thermodynamic Potentials 26 2.10 Free Energy and Maxwell Relations 30 2.11 Gibbs Free Energy and Enthalpy 31 2.12 The Measure of Chemical Potential 33 2.13 The Koenig Born Diagram 35 2.14 Other Thermodynamic Potentials 36 2.15 The Euler and Gibbs-Duhem Equations 37 2.16 Magnetic Systems 39 2.17 Equations of State 40 2.18 Stability 41 2.19 Chemical Reactions 44 2.20 Phase Coexistence 45 2.21 The Clausius-Clapeyron Equation 47 2.22 The Coexistence Curve 48 2.23 Coexistence of Several Phases 49 2.24 The Critical Point 50 2.25 Planar Interfaces 51 Recommended Reading 54 Chapter 3: The Fundamental Postulate 55 3.1 Phase Space 55 3.2 Observables 57 3.3 The Fundamental Postulate: Entropy as Phase-Space Volume 58 3.4 Liouville's Theorem 59 3.5 Quantum States 63 3.6 Systems in Contact 66 3.7 Variational Principle 67 3.8 The Ideal Gas 68 3.9 The Probability Distribution 70 3.10 Maxwell Distribution 71 3.11 The Ising Paramagnet 71 3.12 The Canonical Ensemble 74 3.13 Generalized Ensembles 77 3.14 The p-T Ensemble 80 3.15 The Grand Canonical Ensemble 82 3.16 The Gibbs Formula for the Entropy 84 3.17 Variational Derivation of the Ensembles 86 3.18 Fluctuations of Uncorrelated Particles 87 Recommended Reading 88 Chapter 4: Interaction-Free Systems 89 4.1 Harmonic Oscillators 89 4.2 Photons and Phonons 93 4.3 Boson and Fermion Gases 102 4.4 Einstein Condensation 112 4.5 Adsorption 114 4.6 Internal Degrees of Freedom 116 4.7 Chemical Equilibria in Gases 123 Recommended Reading 124 Chapter 5: Phase Transitions 125 5.1 Liquid-Gas Coexistence and Critical Point 125 5.2 Van der Waals Equation 127 5.3. Other Singularities 129 5.4 Binary Mixtures 130 5.5 Lattice Gas 131 5.6 Symmetry 133 5.7 Symmetry Breaking 134 5.8 The Order Parameter 135 5.9 Peierls Argument 137 5.10 The One-Dimensional Ising Model 140 5.11 Duality 142 5.12 Mean-Field Theory 144 5.13 Variational Principle 147 5.14 Correlation Functions 150 5.15 The Landau Theory 153 5.16 Critical Exponents 156 5.17 The Einstein Theory of Fluctuations 157 5.18 Ginzburg Criterion 160 5.19 Universality and Scaling 161 5.20 Partition Function of the Two-Dimensional Ising Model 165 Recommended Reading 170 Chapter 6: Renormalization Group 173 6.1 Block Transformation 173 6.2 Decimation in the One-Dimensional Ising Model 176 6.3 Two-Dimensional Ising Model 179 6.4 Relevant and Irrelevant Operators 183 6.5 Finite Lattice Method 187 6.6 Renormalization in Fourier Space 189 6.7 Quadratic Anisotropy and Crossover 202 6.8 Critical Crossover 203 6.9 Cubic Anisotrophy 208 6.10 Limit n 209 6.11 Lower and Upper Critical Dimensions 213 Recommended Reading 214 Chapter 7: Classical Fluids 215 7.1 Partition Function for a Classical Fluid 215 7.2 Reduced Densities 219 7.3 Virial Expansion 227 7.4 Perturbation Theory 244 7.5 Liquid Solutions 246 Recommended Reading 249 Chapter 8: Numerical Simulation 251 8.1 Introduction 251 8.2 Molecular Dynamics 253 8.3 Random Sequences 259 8.4 Monte Carlo Method 261 8.5 Umbrella Sampling 272 8.6 Discussion 274 Recommended Reading 275 Chapter 9: Dynamics 277 9.1 Brownian Motion 277 9.2 Fractal Properties of Brownian Trajectories 282 9.3 Smoluchowski Equation 285 9.4 Diffusion Processes and the Fokker-Planck Equation 288 9.5 Correlation Functions 289 9.6 Kubo Formula and Sum Rules 292 9.7 Generalized Brownian Motion 293 9.8 Time Reversal 296 9.9 Response Functions 296 9.10 Fluctuation-Dissipation Theorem 299 9.11 Onsager Reciprocity Relations 301 9.12 Affinities and Fluxes 303 9.13 Variational Principle 306 9.14 An Application 308 Recommended Reading 310 Chapter 10: Complex Systems 311 10.1 Linear Polymers in Solution 312 10.2 Percolation 321 10.3 Disordered Systems 338 Recommended Reading 356 Appendices 357 Appendix A Legendre Transformation 359 A.1 Legendre Transform 359 A.2 Properties of the Legendre Transform 360 A.3 Lagrange Multipliers 361 Appendix B Saddle Point Method 364 B.1 Euler Integrals and the Saddle Point Method 364 B.2 The Euler Gamma Function 366 B.3 Properties of N-Dimensional Space 367 B.4 Integral Representation of the Delta Function 368 Appendix C A Probability Refresher 369 C.1 Events and Probability 369 C.2 Random Variables 369 C.3 Averages and Moments 370 C.4 Conditional Probability: Independence 371 C.5 Generating Function 372 C.6 Central Limit Theorem 372 C.7 Correlations 373 Appendix D Markov Chains 375 D.1 Introduction 375 D.2 Definitions 375 D.3 Spectral Properties 376 D.4 Ergodic Properties 377 D.5 Convergence to Equilibrium 378 Appendix E Fundamental Physical Constants 380 Bibliography 383 Index 389
£70.40
Princeton University Press Comparative Biomechanics
Book SynopsisWhy do you switch from walking to running at a specific speed? Why do tall trees rarely blow over in high winds? And why does a spore ejected into air at seventy miles per hour travel only a fraction of an inch? Comparative Biomechanics is the first and only textbook that takes a comprehensive look at the mechanical aspects of life--covering animalTrade Review"[T]his is a fantastic book! ... [T]here can be no doubt, this is a science book of the highest and finest quality. Students in biology and physics, including (mechanical) engineers, will find in this book a sound guideline for an alternative view of their respective disciplines. It is a source of inspiration, also for the interested layman, for further reflection on the realm of physics in the biological world."--Harold Heatwole, Integrative and Comparative BiologyTable of ContentsPreface vii PART ONE Life's Physical Context 1 1 Preambulations 3 2 Setting the Stage 11 3 More Tools 29 PART TWO Fluids 51 4 Gases and Liquids: Fluids at Rest 53 5 Gases Meet Liquids: The Interface 71 6 Viscosity and the Patterns of Flow 87 7 The Forces of Flow 111 8 Fluid Events Near Surfaces 141 9 Where Flows Are Inside 163 10 More about Circulatory Systems 183 11 Flows in Small Worlds 207 12 About Lift 225 13 Thrust for Flying and Swimming 251 14 Motion at the Air-Water Interface 271 PART THREE Solids and Structures 285 15 A Matter of Materials 287 16 Biological Materials: Tuning Properties Properly 313 17 Biological Materials: Cracks and Composites 329 18 More about Complex Materials: Viscoelasticity 347 19 Simple Structures: Beams, Columns, Shells 363 20 Less Simple Structural Matters 389 21 Hydrostatic Structures, Hydraulic Devices 407 22 Structural Systems 425 23 Motility and Mobility 449 24 Using Muscle: Tuning and Transmissions 473 25 Getting Around on Land 491 PART FOUR The Contexts of Biomechanics 513 26 Loose Ends and Perspectives 515 APPENDICES 1 Quantification: Rules of the Road 537 2 Motion and Direction 547 3 Size and Scaling 553 List of Symbols 565 References and Index of Citations 567 Subject Index 601
£80.00
Princeton University Press Ecological Mechanics
Book SynopsisPlants and animals interact with each other and their surroundings, and these interactions--with all their complexity and contingency--control where species can survive and reproduce. In this comprehensive and groundbreaking introduction to the emerging field of ecological mechanics, Mark Denny explains how the principles of physics and engineeringTrade Review"Denny's opus features 24 chapters with 778 numbered equations and many illustrative graphs on more than 500 pages. Despite this wealth of information, it makes for an excellent and enjoyable read."--Gregor Kalinkat, Basic and Applied Ecology
£63.75
Princeton University Press The Arithmetic of Polynomial Dynamical Pairs
Book Synopsis
£124.00
Princeton University Press The Arithmetic of Polynomial Dynamical Pairs
Book Synopsis
£55.25
IOP Publishing Ltd Motions of Celestial Bodies IOP Expanding Physics
Book Synopsis
£89.10
Oxford University Press Mechatronics
Book SynopsisIn order to compete in a modern global market, companies rely on mechatronics, or the fusion of several engineering and scientific disciplines from across mechanical, computer and electrical engineering in developing innovative products and systems. Mechatronics offers new solutions and unprecedented flexibility in developing and understanding transportation systems, industrial production processes, and design and manufacturing of components. The successful application of mechatronics requires an understanding of the underlying constituent disciplines.This book focusses on exploiting a dynamical systems approach and theory of holors in mechatronics for modelling and characterization of various dynamical systems. Written as an introductory textbook for advanced students, it can be used by teachers and students both in lessons and independently. It includes subject knowledge and pedagogical support for teachers of mechatronics. This title will also be an essential referen
£89.10
Institute of Physics Publishing Classical Mechanics Lecture notes
Book Synopsis Essential Advanced Physics is a series comprising four parts: Classical Mechanics, Classical Electrodynamics, Quantum Mechanics and Statistical Mechanics. Each part consists of two volumes, Lecture Notes and Problems with Solutions, further supplemented by an additional collection of test problems and solutions available to qualifying university instructors.Written for graduate and advanced undergraduate students, the goal of this series is to provide readers with a knowledge base necessary for professional work in physics, be that theoretical or experimental, fundamental or applied research. From the formal point of view, it satisfies typical PhD basic course requirements at major universities. Selected parts of the series may be also valuable for graduate students and researchers in allied disciplines, including astronomy, chemistry, materials science, and mechanical, electrical, computer and electronic engineering.The EAP series is focused on the development of problem-solving skills. The following features distinguish it from other graduate-level textbooks: Concise lecture notes (~250 pages per semester) Emphasis on simple explanations of the main concepts, ideas and phenomena of physics Sets of exercise problems, with detailed model solutions in separate companion volumes Extensive cross-referencing between the volumes, united by common style and notation Additional sets of test problems, freely available to qualifying faculty This volume, Classical Mechanics: Lecture Notes is intended to be the basis for a one-semester graduate-level course on classical mechanics and dynamics, including the mechanics of continua, in particular deformations, elasticity, waves, and fluid dynamics.
£94.05
IOP Publishing Ltd Classical Mechanics Problems with solutions
Book SynopsisEssential Advanced Physics (EAP) is a series comprising four parts: Classical Mechanics, Classical Electrodynamics, Quantum Mechanics and Statistical Mechanics. Each part consists of two volumes, Lecture notes and Problems with solutions, further supplemented by an additional collection of test problems and solutions available to qualifying university instructors.Written for graduate and advanced undergraduate students, the goal of this series is to provide readers with a knowledge base necessary for professional work in physics, be that theoretical or experimental, fundamental or applied research. From the formal point of view, it satisfies typical PhD basic course requirements at major universities. Selected parts of the series may also be valuable for graduate students and researchers in allied disciplines, including astronomy, chemistry, materials science, and mechanical, electrical, computer and electronic engineering.The EAP series is focused on the development of problem-solving skills. The following features distinguish it from other graduate-level textbooks: Concise lecture notes (~250 pages per semester) Emphasis on simple explanations of the main concepts, ideas and phenomena of physics Sets of exercise problems, with detailed model solutions in separate companion volumes Extensive cross-referencing between the volumes, united by common style and notation Additional sets of test problems, freely available to qualifying faculty This volume, Classical Mechanics: Problems with solutions contains detailed model solutions to the exercise problems formulated in the companion Lecture notes volume. In many cases, the solutions include result discussions that enhance the lecture material. For the reader’s convenience, the problem assignments are reproduced in this volume.
£89.10
Institute of Physics Publishing Rotation Reflection and Frame Changes Orthogonal tensors in computational engineering mechanics IOP Expanding Physics
Book SynopsisRotation, Reflection, and Frame Changes is an engineer's practical resource forrotation-related theorems that might otherwise be difficult to find in literature. By providing extensive tutorials in requisite mathematics,intuitive insight, and computer source code, this work stands as a definitivecontribution to engineering mechanics.
£89.10
IOP Publishing MOTIONS OF CELESTIAL BODIES PB
Book Synopsis
£23.75
Institute of Physics Publishing Techniques of Classical Mechanics
Book SynopsisThis book serves as an excellent stepping stone from introductory physics to graduate-level physics, it provides a level field for the various techniques used to solve problems in classical mechanics, it explains the Lagrangian and Hamiltonian methods more simply, and is a must for junior and senior physics undergraduates.
£89.10
Institute of Physics Publishing Classical Mechanics
Book SynopsisClassical Mechanics: A professorstudent collaboration is a textbook tailored for undergraduate physics students embarking on a first-year module in Newtonian mechanics. This book is a collaboration between Mario Campanelli and students that attended his course in classical mechanics at University College London, based on the course lecture notes with the aim of making the subject accessible to all students.
£67.50
IOP Publishing CLASSICAL MECHANICS PROFESSORSTUDENTPB
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£23.75
IOP Publishing Nonlinear Waves
Book Synopsis
£70.65
IOP Publishing Comets in the 21st Century
Book Synopsis
£32.85
IOP Publishing Keplerian Ellipses
Book Synopsis
£37.76
IOP Publishing Physics of Emergence
Book Synopsis
£47.25
Institute of Physics Publishing Thermodynamics and Statistical Mechanics
Book SynopsisThis coursetext provides an accessible introduction to thermodynamics and statisticalmechanics, at a level that is suitable for both physics and engineering majors.The book acts as a core text for undergraduate courses, particularly for studentswho find the topics challenging.
£89.10
IOP Publishing Thermodynamics and Statistical Mechanics
Book Synopsis
£23.75
Institute of Physics Publishing Problems and Solutions in ManyParticle Systems
Book Synopsis
£67.50
Institute of Physics Publishing Problems and Solutions in ManyParticle Systems
Book Synopsis
£23.75
Springer Finite Element Analysis for Composite Structures
Book SynopsisThis book is an adventure into the computer analysis of three dimensional composite structures using the finite element method (FEM). Once the basic philosophy of the method is understood, the reader may expand its application and modify the computer programs to suit particular needs.Trade Review`The book is highly recommended as a reference text for advanced undergraduate students, as a graduate course on the FE analysis of composites, and as a reference work for both researchers in laboratories and practising engineers in industry.' Zentralblatt MATH, 906 Table of ContentsPreface. 1. Some Results from Continuum Mechanics. 2. A Brief History of FEM. 3. Natural Modes for Finite Elements. 4. Composites. 5. Composite Beam Element. 6. Composite Plate and Shell Element. 7. Computational Statistics. 8. Nonlinear Analysis of Anisotropic Shells. 9. Programming Aspects. Appendices: A. Geometry of the Bema Element in Space. B. Contents of the Floppy Disk. Bibliography. Index.
£116.99
Springer Dynamics of Bubbles Drops and Rigid Particles 50
Book SynopsisHowever, to the best of our knowledge, there are still no available books that reflect such achievements in the areas of bubble and drop deformation, hydrodynamic interactions of deformable fluid particles at low and moderate Reynolds numbers and hydrodynamic interactions of particles in oscillatory flows.Table of ContentsPart I: Governing Equations and General Properties of Fluid Flows. 1. Governing Equations and Boundary Conditions for Fluid Flows. 2. Fundamental Theorems and General Properties of Stokes Flows. Part II: Steady Flows. Hydrodynamics of a Single Rigid or Fluid Particle. 3. Application of the Singularity Method for a Single Rigid or Fluid Particle. 4. Solutions via Superposition of Vector Harmonic Functions. 5. Other Methods to Study the Flow Past Single Rigid or Fluid Particles. 6. Deformations of a Single Fluid Particle in a Viscous FLow. Part III: Steady Flows. Hydrodynamic Intractions between Rigid or Fluid Particles. 7. Hydrodynamic Interactions between Two Rigid or Fluid Particles. 8. Boundary Effects on the Motion of a Single Rigid or Fluid Particle. 9. Many-Particles Hydrodynamic Interactions. Sedimentation. 10. Hydrodynamic Interaction between Particles and Effective Viscosity of Suspensions and Emulsions. Part IV: Unsteady Flows. Hydrodynamic Interactions between Drops, Bubbles and Rigid Particles. 11. Unsteady Motion of Rigid or Fluid Particles in Stokes Approximation. 12. Application of the Singularity Method for Unsteady Flows Past Rigid or Fluid Particles. 13. Hydrodynamic Interactions in Some Unsteady Viscous Flows. 14. Finite Deformations of Drops and Bubbles at Moderate Reynolds Numbers Flows. References. Index.
£170.99
Johns Hopkins University Press Their Arrows Will Darken the Sun The Evolution
Book SynopsisFor study or hobby, Their Arrows Will Darken the Sun is an entertaining guide to the world of ballistics.Trade Review"For a scientist, Denny's approach is delightfully down to earth." (The Age)"Table of ContentsAcknowledgmentsIntroductionI. BANG! Internal Ballistics1. Before Gunpowder2. Gunpowder Weapons3. The Development of Modern Firearms: New Technical ChallengesII. WHIZZ! External Ballistics4. Short-Range Trajectories: Elementary Aerodynamics5. Long-Range Trajectories: Advanced Aerodynamics6. New Technology, New BallisticsIII. THUD! Terminal Ballistics7. Stopping the TargetFinal ThoughtsTechnical NotesGlossaryBibliographyIndex
£58.00
Taylor & Francis Inc Feynman Lectures On Gravitation
Book SynopsisThe Feynman Lectures on Gravitation are based on notes prepared during a course on gravitational physics that Richard Feynman taught at Caltech during the 1962-63 academic year. For several years prior to these lectures, Feynman thought long and hard about the fundamental problems in gravitational physics, yet he published very little. These lectures represent a useful record of his viewpoints and some of his insights into gravity and its application to cosmology, superstars, wormholes, and gravitational waves at that particular time. The lectures also contain a number of fascinating digressions and asides on the foundations of physics and other issues.Characteristically, Feynman took an untraditional non-geometric approach to gravitation and general relativity based on the underlying quantum aspects of gravity. Hence, these lectures contain a unique pedagogical account of the development of Einstein''s general theory of relativity as the inevitable result of the demand for a self-consTable of ContentsForeword Quantum Gravity Lecture 1 * A Field Approach to Gravitation * The Characteristics of Gravitational Phenomena * Quantum Effects in Gravitation * On the Philosophical Problems in Quantizing macroscopic Objects * Gravitation as a Consequence of Other Fields Lecture 2 * Postulates of Statistical Mechanics * Difficulties of Speculative Mechanics * The Exchange of One Neutrino * The Exchange of Two Neutrinos Lecture 3 * The Spine of the Graviton * Amplitudes and Polarizations in Electrodynamics, Our Typical Field Theory * Amplitudes for Exchange of a Graviton * Physical Interpretation of the Terms in the Amplitudes * The Lagrangian for the Gravitational Field * The Equations for the Gravitational Field * Definition of Symbols Lecture 4 * The Connection Between the Tensor Rank and the Sign of a Field * The Stress-Energy Tensor for Scalar Matter * Amplitudes for Scattering (Scalar Theory) * Detailed Properties for Plane Waves, Compton Effect * Nonlinear Diagrams for Gravitons * The Classical Equations of Motion of a Gravitating Particle * Orbital Motion of Particle About a Star Lecture 5 * Planetary Orbits and the Precession of Mercury * Time Dilation in a Gravitational Field * Cosmological Effects of the Time Dilation. Machs Principle * Machs Principle in Quantum Mechanics * The Self Energy of the Gravitational Field Lecture 6 * The Bilinear Terms of the Stress-Energy Tensor * Formulation of a Theory Correct to All Orders * The Construction of Invariants with Respect to Infinitesimal Transformations * The Lagrangian of the Theory Correct to All Orders * The Einstein Equation for the Stress-Energy Tensor Lecture 7 * The Principle of Equivalence * Some Consequences of the Principle of Equivalence * Maximum Clock Rates in Gravity Fields * The Proper Time in General Coordinates * The Geometrical Interpretation of the Metric Tensor * Curvatures in Two and Four Dimensions * The Number of Quantities Invariant under General Transformations Lecture 8 * Transformations of Tensor Components in Nonorthogonal Coordinates * The Equations to Determine Invariants of g(( * On the Assumption that Space is Truly Flat * On the Relations Between Different Approaches to Gravity Theory * The Curvatures as Referred to Tangent Spaces * The Curvatures Referred to Arbitrary Coordinates * Properties of the Grand Curvature Tensor Lecture 9 * Modifications of Electrodynamics Required by the Principle of Equivalence * Covariant Derivatives of Tensors * Parallel Displacement of a Vector * The Connection between Curvatures and Matter Lecture 10 * The Field Equations of Gravity * The Action for Classical Particles in a Gravitational Field * The Action for matter Fields in a Gravitational Field Lecture 11 * The Curvature in the Vicinity of a Spherical Star * On the Connection Between matter and the Curvatures * The Scwarzschild Metric, the Field Outside a Spherical Star * The Schwarzschild Singularity * Speculations on the Wormhole Concept * Problems for Theoretical Investigations of the Wormholes Lecture 12 * Problems of Cosmology * Assumptions Leading to Cosmological Models * The Interpretation of the Cosmological Metric * The Measurements of Cosmological Distances * On the Characteristics of a Bounded or Open Universe Lecture 13 * On the Role of the Density of the Universe in Cosmology * On the Possibility of a Nonuniform and Nonspherical Universe * Disappearing Galaxies and Energy Conservation * Machs Principle and Boundary Conditions * Mysteries in the Heavens Lecture 14 * The Problem of Superstars in General Relativity * The Significance of Solutions and their Parameters * Some Numerical Results * Projects and Conjectures for Future Investigations of Superstars Lecture 15 * The Physical Topology of the Schwarzschild Solutions * Particle Orbits in a Schwarzschild Field * On the Future of Geometrodynamics Lecture 16 * The Coupling Between Matter Fields and Gravity * Completion of the Theory: A Simple Example of Gravitational Radiation * Radiation of Gravitons with Particle Decays * Radiation of Gravitons with Particle Scattering * The Sources of Classical Gravitational Waves Bibliography Index
£52.24
John Wiley & Sons Why Dont Jumbo Jets Flap Their Wings
Book SynopsisExplains how nature and human engineers each arrived at powered flight. This book traces the slow and deliberate evolutionary process of animal flight - in birds, bats, and insects - over millions of years and compares it to the directed efforts of human beings to create the aircraft over the course of a single century.Trade Review"This book lucidly captures the comparative aerodynamics of winged animals and aircrafts with great skill and clarity. This is science writing at its best and is a valuable reference for the specialist as well as for the casual enthusiast of flight." Sankar Chatterjee, Paul Whitfield Horn Professor of Geosciences, Texas Tech University"David Alexander has produced an astonishingly readable and enjoyable romp through topics in flight mechanics. This book cuts through the obtuse and obscure without sacrificing scholarship." Catherine Loudon, University of California, Irvine"You'll find no more transparently clear explanation of all that goes on when you fly in an airplane. Or, in a seamlessly integrated account, what happens when a bird, bat, or bumblebee does the same." Steven Vogel, James B. Duke Professor, Emeritus, Department of Biology, Duke University"This is a well-written and thought-provoking book telling a unique story of both the history and the physics of natural and mechanical flight." James DeLaurier, Professor Emeritus, University of Toronto Institute for Aerospace StudiesTable of ContentsList of Illustrations Preface Acknowledgments Flying Animals and Flying Machines:Birds of a Feather? Hey Buddy, Need a Lift? Power: The Primary Push To Turn or Not To Turn A Tail of Two Tails Flight Instruments Dispensing with Power: Soaring Straight Up: Vertical Take-Offs and Hovering Stoop of the Falcon: Predation and Aerial Combat Biology Meets Technology Head-On: Ornithopters and Human-Powered Flight Epilogue: So Why Don't Jumbo Jets Flap Their Wings? Notes Glossary Bibliography Index
£27.90
