Mathematics and Science Books
Springer Geohazards Natural And ManMade AGID Report Series
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Springer Photothermal Science and Techniques Physics Its Applications S
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Springer Magnetic Recording Handbook
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Cambridge University Press Quantum Chromodynamics at High Energy
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Penguin Random House LLC Journey to the Stars Space ExplorationTomorrow and Beyond
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Springer Elementary Particle Physics Student Physics Series
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Springer Jet Spectroscopy and Molecular Dynamics
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Springer Hydrocyclones Analysis and Applications 12 Fluid Mechanics and Its Applications
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Springer Flow Visualization and Image Analysis 14 Fluid Mechanics and Its Applications
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Springer Cellular Automata and Cooperative Systems Proceedings of the NATO Advanced Study Institute Les Houches France June 22July 2 1992 396 Nato Science Series C
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Springer Eddy Structure Identification in Free Turbulent Shear Flows Selected Papers from the Iutam Symposium Entitled Eddy Structures Identification in Free 21 Fluid Mechanics and Its Applications
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Springer Quantum Theory Concepts and Methods 57 Fundamental Theories of Physics
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Springer Maximum Entropy and Bayesian Methods Santa Barbara California USA 1993 Santa Barbara California USA 1993 Proceedings of the Thirteenth Methods 62 Fundamental Theories of Physics
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Springer Physics Philosophy and the Scientific Community
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Springer Webers Electrodynamics Fundamental Theories of Physics 66
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Springer Computational Dynamics in Multibody Systems
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Springer MHD Structures Waves and Turbulence in the Solar Wind Observations and Theories
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Springer Quantum Theory Concepts and Methods Fundamental Theories of Physics
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Springer The Geometry of HigherOrder Lagrange Spaces Applications to Mechanics and Physics 82 Fundamental Theories of Physics
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Springer The Physics of Fluids in Hierarchical Porous Media Angstroms to Miles 10 Theory and Applications of Transport in Porous Media
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Springer Current Topics in Astrofundamental Physics Primordial Cosmology 511 Nato Science Series C
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Springer Molecular Recognition and Inclusion Proceedings of the Ninth International Symposium on Molecular Recognition and Inclusion held at Lyon 712 September 1996
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Springer High Pressure Molecular Science
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Springer Instabilities and Nonequilibrium Structures VI Workshop Proceedings Nonlinear Phenomena and Complex Systems
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Springer Starbriefs
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Springer Fundamentals of Tribology and Bridging the Gap Between the Macro and MicroNanoscales
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Springer Fundamentals of Tribology and Bridging the Gap Between the Macro and Micronanoscales Proceedings of the NATO Advanced Study Institute Held in 1325 2000 10 Nato Science Series II
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Springer Reasoning in Physics The Part of Common Sense
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Springer From Dirac to Neutrino Oscillations
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Henry Holt & Company Inc The Mold in Dr Floreys Coat The Story of the Penicillin Miracle
Book SynopsisThe author of Life and Death on 10 West chronicles the fascinating true story of the Oxford scientists who discovered penicillin by experimenting on mold, creating a family of drugs that would eradicate some of the worst diseases in human history. Reprint. 35,000 first printing.
£19.93
Springer Essential Physics Chemistry and Biology Student S
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American Institute of Physics The Eye of Heaven Ptolemy Copernicus Kepler Masters of Modern Physics 0007
Book Synopsis"Blurb & Contents" "I can think of few better ways of introducing students to the history of astronomy than by using The Eye of Heaven as a text....This is science at its best....Not only does Gingerich make you think, he also forces you back in time and makes you think as astronomers did then.Trade Review"I can think of few better ways of introducing students to the history of astronomy than by using The Eye of Heaven as a text....This is science at its best....Not only does Gingerich make you think, he also forces you back in time and makes you think as astronomers did then. Students need this inspiration." --- David Hughes, New Scientist
£43.99
La Puerta Productions Preacher Finds a Corpse An Evan Wycliff Mystery 1 Evan Wycliff Mysteries
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Cambridge University Press Supersymmetry and String Theory
Book SynopsisThe dramatic developments in theoretical physics are examined in this fully updated second edition, which includes brand new material on the groundbreaking Higgs discovery, results of the WMAP, Planck experiments and sections on metastable supersymmetry breaking. Provides graduates and researchers in particle and string theory with a modern perspective.Table of ContentsPreface to the first edition; Preface to the second edition; A note on choice of metric; Text website; Part I. Effective Field Theory: The Standard Model, Supersymmetry, Unification: 1. Before the Standard Model; 2. The Standard Model; 3. Phenomenology of the Standard Model; 4. The Standard Model as an effective field theory; 5. Anomalies, instantons and the strong CP problem; 6. Grand unification; 7. Magnetic monopoles and solitons; 8. Technicolor: a first attempt to explain hierarchies; Part II. Supersymmetry: 9. Supersymmetry; 10. A first look at supersymmetry breaking; 11. The Minimal Supersymmetric Standard Model; 12. Supersymmetric grand unification; 13. Supersymmetric dynamics; 14. Dynamical supersymmetry breaking; 15. Theories with more than four conserved supercharges; 16. More supersymmetric dynamics; 17. An introduction to general relativity; 18. Cosmology; 19. Astroparticle physics and inflation; Part III. String Theory: 20. Introduction; 21. The bosonic string; 22. The superstring; 23. The heterotic string; 24. Effective actions in ten dimensions; 25. Compactification of string theory I. Tori and orbifolds; 26. Compactification of string theory II. Calabi–Yau compactifications; 27. Dynamics of string theory at weak coupling; 28. Beyond weak coupling: non-perturbative string theory; 29. Large and warped extra dimensions; 30. The landscape: a challenge to the naturalness principle; 31. Coda: where are we headed?; Part IV. The Appendices: Appendix A. Two-component spinors; Appendix B. Goldstone's theorem and the pi mesons; Appendix C. Some practice with the path integral in field theory; Appendix D. The beta function in supersymmetric Yang–Mills theory; References; Index.
£62.99
Read Books Dictionary of Gems and Gemology
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Springer The Craft of Scientific Presentations
Book SynopsisIntroduction.- Speech: The Words You Say.- Structure: The Strategy You Choose.- Visual Aids: Your Supporting Cast.- Delivery: You, the Room, and the Audience.- Conclusion: Aim High.Trade ReviewFrom the reviews of the second edition:“Alley’s book as an important and must-read guide for anyone in the scientific field. Professors, researchers and students will greatly benefit from Alley’s work. The book also has the benefit of being short and concrete–a plus for the busy scientist.” (Philosophy, Religion and Science Book Reviews, bookinspections.wordpress.com, March, 2014)“The second edition ... of this readable and informative volume highlights 13 critical errors to avoid in scientific presentations. Alley (Virginia Tech) provides examples through words and images about how to best convey ideas and meaning by understanding, connecting with, and engaging the audience. … This is a valuable work for academic and research libraries supporting, in particular, faculty, researchers, and graduate students. Summing Up: Highly recommended. Upper-level undergraduates through researchers/faculty.” (J. Clemons, Choice, Vol. 51 (5), January, 2014)Table of ContentsIntroduction.- Speech: The Words You Say.- Structure: The Strategy You Choose.- Visual Aids: Your Supporting Cast.- Delivery: You, the Room, and the Audience.- Conclusion: Aim High.
£37.99
Springer New York Physics with Illustrative Examples from Medicine and Biology Statistical Physics Biological and Medical Physics Biomedical Engineering
Book SynopsisIntended for undergraduate courses in biophysics, biological physics, physiology, medical physics, and biomedical engineering, this is an introduction to statistical physics with examples and problems from the medical and biological sciences.Table of Contents1 Elements of the Theory of Probability: The Binomial Distribution: Applications.- 1.1 Definition of Probability. The Two Rules. Illustrative Examples.- 1.2 Bernoulli Trials. The Binomial Distribution.- 1.3 Mean Values and Variance.- 1.4 Illustrative Applications.- 1.4.A. The Sex Distribution of Children.- 1.4.B. Random Coils: The Conformation of Chain Polymers.- 1.4.C. The Distribution of Electric Charges on the Hemoglobin Molecule.- Appendix to Section 1.4.C: Probabilities for the State of Ionization of a Polar Residue.- 1.5 References and Supplementary Reading.- 1.6 Problems.- 2 Diffusion and Transport Processes.- 2.1 Molecular Movement and the Physical Properties of Gases: A Short Survey.- 2.1.A. Ideal Gas Law. Kelvin Temperature. Avogadro’s Number.- 2.1.B. Mean Kinetic Energy of a Molecule. The Boltzmann Constant.- 2.l.C. The Equipartition Law. Specific Heats.- 2.1.D. Random Motion of a Gas Molecule, Root Mean Square Velocity, Mean Free Path, and Collision Frequency.- 2.2 Random Walk in One and Three Dimensions.- 2.2.A. The Bernoulli Distribution for the Probability PN (X) of a Displacement? in N Steps.- 2.2.B. The Gaussian Form of the Bernoulli Distribution.- 2.2.C. Space-Time Evolution of the Probability Distribution. The Diffusion Constant. The Mean Square Displacement as a Function of Time.- 2.2.D. Probability of Displacements for the Three-Dimensional Random Walk. Numerical Values for Diffusion Constants. Some Elementary Applications.- 2.2.E. Elementary Application: The Transfer of Oxygen and Carbon Dioxide in the Human Lung.- 2.3 The Diffusion Equation.- 2.3.A. The Space-Time Evolution of Particle Distribution. Integral Representations for Concentration C (x, t).- 2.3.B. Application of the Integral Representation for C(x, t). The Experiment of Lam and Poison. Determination of Diffusion Constant D.- 2.3.C. The Diffusion Equation for C (x, t).- 2.3.D. An Application: Smoothing Out of Sinusoidal Variations in Concentration.- 2.4 Particle Conservation, Particle Current, and Fick’s Law.- 2.4.A. Particle Conservation, Current, and the Continuity Equation.- 2.4.B. The Relation Between Current and a Concentration Gradient. Fick’s Law.- 2.4.C. Flow and Diffusion Across Porous Membranes in the Presence of Either a Concentration Difference ?C or a Pressure Difference ?P.- (i) Volume Flow Across a Porous Membrane Under the Influence of a Pressure Gradient. The Hydraulic Permeability Lp.- (ii) Solute Flow Across a Porous Membrane Due to a Concentration Gradient. The Membrane Permeability p.- (iii) Numerical Values for the Filtration Coefficient Lp and Permeability p. Theory and Experiment Compared. The Hindrance Factor.- (iv) Molecular Sieving by Membranes. The Reflection Coefficient a. Introduction to the Relation Between Solute Flow JS, Volume Flow JV, and the Concentration and Pressure Differences ?C and ?p Across the Membrane.- (v) Equalization Time for the Concentration Difference Across a Membrane, a Two-Compartment Problem.- 2.4.D. Hemodialysis. The Artificial Kidney.- (i) Physiological Role of the Kidney.- (ii) Description and Function of the Artificial Kidney.- 2.5 Flow and Diffusion of Particles Under the Action of External Forces and Collisions with Solvent Molecules.- 2.5.A. Flow, Collisions, and Momentum Transfer in a Concentration Gradient.- 2.5.B. Particle Current and the Diffusion Equation in the Presence of a Concentration Gradient and Externally Applied Forces. Drift Velocity.- 2.5.C. Mobility and the Stokes—Einstein Relation.- 2.5.D. Sedimentation Equilibrium: Scale Heights and the Molecular Weights of Macromolecules. Perrin’s Experimental Measurement of Avogadro’s Number.- 2.5.E. Ultracentrifugation.- (i) Design and Performance of the Ultracentrifuge.- (ii) The Sedimentation Coefficient s. Determination of Molecular Weights.- (iii) Determination of Molecular Weights from Sedimentation Equilibrium: Some Data.- 2.6 Flow of Solute and Solvent Across a Membrane in the Presence of Both Pressure and Concentration Gradients.- 2.6.A. Hydrostatic Pressure. Semipermeable Membrane. Osmotic Pressure. Van t’Hoff s Law. Volume Flow (Jv) Across a Semipermeable Membrane in the Presence of Both ?p and ?C.- (i) Hydrostatic Pressure.- (ii) Phenomenological Description of Osmotic Pressure and Volume Flow Across a Semipermeable Membrane. Van t’Hoff’s Law.- (iii) Physical Origin and the Theory for the Osmotic Pressure. Derivation of Van t’Hoff’s Law. Poisseuille Flow and the Flow of Solvent Through a Semipermeable Membrane Under the Influence of Both Pressure and Concentration Differences.- 2.6.B. Coupled Flow of Solute and Solvent Across a Membrane Subject to Both a Hydrostatic and an Osmotic Pressure Difference. The Three Membrane Parameters.- (i) Volume Flow Through a Permeable, Porous Membrane due to a Pressure and Concentration Gradient.- (ii) Solute Flow Through a Permeable Membrane due to Solvent Drag and Diffusion.- (iii) The Symmetrical Form of the Coupled Flow Relations.- (iv) Measurements of Membrane Parameters on Synthetic Membranes. Data on Lp, ?, p.- 2.6.C. Transport of Water and Solute Across Biological Membranes.- (i) The Permeability and Filtration Coefficient of Red Blood Cells.- (ii) The Permeability and Filtration Coefficient of Capillary Walls.- 2.Al Derivation of the Relation (2-6): Total Kinetic Energy = 3/2p V.- 2.A2 Proof of the Equipartition Law for a “Test Particle” of Mass M in a Gas at Temperature T.- 2.A3 Gaussian Integrals.- 2.7 References and Supplementary Reading.- 2.8 Problems.- 3 Poisson Statistics.- 3.1 Introduction.- 3.2 Derivation of the Poisson Probability Distribution.- 3.2.A. The Poisson Distribution and the Sampling of Particles from a Solution.- 3.2.B. The Poisson Distribution and Radioactive Decay.- 3.2.C. The Poisson Distribution and the Photoelectric Effect.- 3.3 Properties of the Poisson Distribution.- 3.3.A. Normalization and Average Value of the Poisson Distribution.- 3.3.B. Fluctuations of n Around the Average: Accurate Measurement of the Average Number of Events.- 3.3.C. Graphs of P(n, n).- 3.3.D. The Form of the Poisson Distribution for Large nx: The Normal, or Gaussian Distribution.- 3.4 Poisson Statistics and the Detection of Light by the Eye.- 3.4.A. The Detection of Light at the Threshold of Vision.- (i) Anatomical and Physiological Conditions for Maximum Sensitivity.- (ii) The Frequency-of-Seeing Curve.- (iii) Theory for the Shape of the Frequency-of-Seeing Curve.- 3.4.B. “Seeing” in the Presence of Background Light. Visual Contrast Thresholds and the Detection of Signals in the Presence of Noise.- (i) Experimental Measurement of the Visual Contrast Threshold.- (ii) The Noise Theory of the Visual Contrast Threshold Curve: For Short-Time, Small-Area Test Sources.- (iii) Visual Contrast Thresholds for Long-Time, Large-Area Test Sources.- 3.4.C. Phototransduction.- 3.5 The Luria-Delbrück Experiment: Mutation as the Source of Bacterial Immunity to Virus Attack.- 3.5.A. Introduction.- 3.5.B. Theory of the Probability Distribution for Phage Resistant Bacteria Under the Hypothesis of Mutation.- (i) Growth of Bacterial Population. Division Time.- (ii) Probability Distribution for Clones of Resistant Bacteria.- (iii) The Mean Value and Variance of the Probability Distribution for the Number of Resistant Bacteria.- 3.5.C. The Experimental Data of Luria and Delbrück. Comparison Between Theory and Experiment. Determination of the Bacterial Mutation Rate.- 3.6 References and Supplementary Reading.- 3.7 Problems.- 4 Thermal Equilibrium. The Boltzmann Factor. Entropy and Free Energy. The Second Law of Thermodynamics. Application to Physics, Chemistry, and Biology.- 4.1 The Statistical Nature of Thermal Equilibrium.- 4.1.A. Introduction: Thermal Equilibrium in Gases, Solids and Fluids. Equilibrium Between Phases. Chemical Reaction Equilibrium. Statistical Physics Versus Thermodynamics.- 4.1.B. Elements of Quantum Physics.- (i) Energy States in Atoms, Molecules, Macromolecules, and Solids.- (ii) Quantum States. Stability of Atoms and Molecules.- (iii) Free Particles. De Broglie Wavelength and Uncertainty Relations.- (iv) The Importance of Quantization for Statistical Physics. The Principle of Detailed Balance.- 4.2 The Probability Distribution of Energy. The Boltzmann Factor.- 4.2.A. Probability Distribution for the Energy of Vibrating Atoms in a Crystalline Solid.- (i) The Einstein Crystal as a Model.- (ii) Definition of the Probability Distribution P(n) for the Energy ?n of an Atom in the Crystal.- (iii) Microstates and Macrostates of the Einstein Crystal. Weight of a Macrostate.- (iv) Numerical Example for a Very Small Crystal.- (v) Finding the Most Probable Macrostate.- (vi) The Probability Distribution P(n) for the Energies of Atoms in the Einstein Crystal. The Boltzmann Factor.- (vii) Physical Interpretation of the Boltzmann Factor.- 4.2.B. Energy Distribution for the Atoms of an Ideal Monoatomic Gas.- (i) Phase Space and Phase-Space Trajectories of Particles.- (ii) Thermal Equilibrium as a Stationary Population in Phase Space.- (iii) The Counting of Population Patterns. The Role of Planck’s Constant h. All Microstates Are Equally Probable.- (iv) The Equilibrium Population Density in Phase Space. Macrocells and Macrostates.- (v) The Weight W of a Macrostate.- (vi) Finding the Most Probable Macrostate.- (vii) The Boltzmann Factor and Temperature.- (viii) The Barometric Formula.- (ix) The Maxwell—Boltzmann Distribution Function of Velocities.- 4.2.C. Thermal Equilibrium Between Solid and Gas. Vapor Pressure of a Solid.- (i) Gas and Solid in Thermal Contact. Demonstration that ? = 1/kT at All Temperatures.- (ii) The Vapor Pressure of a Crystalline Solid.- 4.3 Macroscopic Statement of Equilibrium Conditions. Entropy and the Second Law of Thermodynamics, Minimum Principle for Free Energy. Chemical Potentials.- 4.3.A. Introduction. Simple and Composite Systems. Equations of State. Equilibrium in Composite Systems.- 4.3.B. Entropy of a Simple System and its Properties. The Second Law of Thermodynamics.- (i) The Entropy of the Einstein Crystal.- (ii) The Entropy of the Ideal Gas.- (iii) Physical Interpretation of the Entropy. Ideal Gas Case.- (iv) Illustrative Calculation of the Entropy Difference for Two States of the Ideal Monoatomic Gas.- (v) A Note on the Chemical Potential ?.- (vi) General Statement of the Equilibrium Conditions. The Second Law of Thermodynamics.- (vii) Simple Illustrative Applications of the Entropy Maximum Principle.- 4.3.C. The Free Energy Minimum Principles.- (i) A System at Constant Temperature and Volume. The Helmholtz Free Energy.- (ii) Mathematical Interlude: Maxwell Relations and Their Use.- (iii) Equilibrium at Constant Pressure and Temperature. The Gibbs Free Energy.- 4.4 Applications of the Equilibrium Conditions to Problems in Physics, Chemistry, and Biology.- 4.4.A. Equilibrium Between Phases. The Clausius-Clapeyron Equation.- 4.4.B. Dilute Solutions of Nonelectrolytes.- (i) The Gibbs Free Energy of a Dilute Solution. The Concept of the Ideal Solution.- (ii) Connection Between the Gibbs Free Energy and the Chemical Potentials of Each Species in a Multicomponent Solution.- (iii) Expressions for the Chemical Potentials of Solvent, and Solutes in a Dilute, Ideal Solution.- (iv) Raoult’s Law; the Lowering of the Solvent Vapor Pressure by the Presence of Solute. Elevation of Boiling Point.- (v) Osmotic Pressure Revisited. Van t’ Hoff’s Law.- (vi) The Solubility of Gases. Henry’s Law.- 4.4.C. The Binding of Ligands to Multi-subunit Proteins.- (i) Thermodynamic Equilibrium and the Binding of Ligands to Distinct Sites on Multi-subunit Proteins.- (ii) The Structure and Function of the Oxygen Binding Proteins: Hemoglobin and Myoglobin.- (iii) The Theory of Oxygen Binding to Myoglobin.- (iv) The Theory of Oxygen Binding to Hemoglobin.- (v) Further Models and Applications of the Theory of Ligand Binding.- 4.Al Multinomial Coefficients: Weight of a Macrostate for the Einstein Crystal.- 4.A2 Occupancy of Microcells by Atoms of an Ideal Gas.- 4.A3 The Equipartition Theorem of Classical Statistical Mechanics.- 4.5 References and Supplementary Reading.- 4.6 Problems.- Table of Important Constants.- Table of Units and Conversion Factors.- 4.6.A. Units of Length.- 4.6.B. Units of Area and Volume.- 4.6.C. Units of Force.- 4.6.D. Units of Pressure.- 4.6.E. Units of Energy.
£49.49
American Institute of Physics Of One Mind: The Collectivization of Science
Book SynopsisThis superb collection by the eminent physicist and critic John Ziman, opens with an album of portraits of scientists--Albert Einstein, Freeman Dyson, Lev Landau, Mark Azbel, Andrei Sakharov. Ziman takes readers into the world of the contemporary scientist, showing how discoveries are made and how claims are tested. He then travels into the minds of scientists as they are drawn into competing directions. Here Ziman exposes the path of discovery, which is strewn with complex human needs, governmental restrictions, the desire for profits, and the exercise of technical virtuosity.
£27.99
Morgan & Claypool Publishers Physiology and Pathophysiology of Digestion
Book SynopsisThis collaboration of two physiologists and a gastroenterologist provides medical and graduate students, medical and surgical residents, and subspecialty fellows a comprehensive summary of digestive system physiology and addresses the pathophysiological processes that underlie some GI diseases. The textual approach proceeds by organ instead of the traditional organization followed by other GI textbooks. This approach lets the reader track the food bolus as it courses through the GI tract, learning on the way each organ's physiologic functions as the bolus directly or indirectly contacts it. The book is divided into three parts: (1) Chapters 1–3 include coverage of basic concepts that pertain to all (or most) organs of the digestive system, salivation, chewing, swallowing, and esophageal function, (2) Chapters 4–6 are focused on the major secretory organs (stomach, pancreas, liver) that assist in the assimilation of a meal, and (3) Chapters 7 and 8 address the motor, transport, and digestive functions of the small and large intestines. Each chapter includes its own pathophysiology and clinical correlation section that underscores the importance of the organ’s normal function.Table of Contents Preface 1. Basic Concepts 2. Eating: Salivation, Chewing, and Swallowing 3. The Esophagus 4. The Stomach 5. The Pancreas 6. The Liver and Biliary Tree 7. The Small Intestine 8. The Large Intestine Author Biographies
£94.05
Michael D. Taylor An Introduction to Geometric Algebra and Geometric Calculus
£19.95
Springer London Ltd Fields, Flows and Waves: An Introduction to Continuum Models
Book SynopsisThis book serves as an introduction to the use of mathematics in describing collective phenomena in physics and biology. Derived from a course of innovative lectures, the book shows students early in their studies how many of the topics they have encountered – partial differential equations, differential equations, Fourier series, and linear algebra – are useful in constructing, analysing and interpreting phenomena present in the real world. Throughout, ideas are developed using worked examples and exercises with solution. The text does not assume a strong background in physics. Trade ReviewFrom the reviews: "This textbook … is designed for undergraduates who have followed a first ‘mathematical methods’ course and who are ready to study in more depth the mathematics underlying phenomena … . Each chapter includes a number of worked examples and a dozen or so exercises, with solutions collected at the end of the book. The book is aimed at students of applied mathematics, physics and engineering. The emphasis on techniques and the frequent references to applications make it particularly suitable for this audience." (S.C. Russen, The Mathematical Gazette, Vol. 89 (516), 2005) "Fields, Flows, and Waves, is an introduction to continuum models based on the author’s lectures … . Ample illustrations and worked examples come with the exposition, and there are several exercises with varying degrees of difficulty; detailed solutions are included at the end of the text. … I warmly recommend this book. It reads well and is in an attractive, concise format. … It makes one yearn for a course in the curriculum where this material could be regularly taught." (SIAM Review, Vol. 46 (3), 2004) "This book is an introduction to the mathematical methods in classical fields theory. It is designed for the second-year undergraduate in physics, mathematics and engineering. … The presentation is excellent, numerous examples of increasing difficulties are considered with details. … The book ends with solutions to the exercises a short bibliography and an index. In conclusion, I warmly recommend this book to any students in physics because it’s well written … interesting and very useful." (Stéphane Métens, Physicalia, Vol. 26 (1), 2004) "This book … is a first introduction to the mathematical description of fields, flows and waves. It shows students, early in their studies, how many of the topics they have encountered are useful … . Designed for second-year undergraduate students in mathematics, mathematical physics, and engineering, it presumes only a limited familiarity with several variable calculus and vector fields. … The ideas are developed through worked examples, and a range of exercises (with solutions) is provided to test understanding." (Läenseignement Mathematique, Vol. 49 (3-4), 2003) "This is another excellent readable book in the Springer Undergraduate Mathematics Series (SUMS). It is a refreshingly modern approach to Continuum Mechanics … . Indeed Professor Parker has written this book so that it might be used directly as an elementary course … . This is a carefully written, well structured book which contains a wealth of examples complete with solutions. … a carefully structured book from which a modern undergraduate applied mathematics course may be taught directly." (Sean McKee, Journal of Fluid Mechanics, Vol.504, 2004) "Introductory books … often struggle with the balance between the motivating physical problems and the formal mathematical structures. As the title suggests, Parker … manages to keep the more technical mathematical structure in clear view. Particularly impressive is how carefully the author leads readers … . the book has a completeness that makes it attractive as a self-contained resource as well as a textbook. … complete solutions (not just answers) to all of the exercises makes the book particularly effective for independent study of this material. Summing Up: Highly recommended." (J. Feroe, CHOICE, December, 2003) "The book is well-written and illustrated by interesting figures which make the text easy to read and attractive. Of course undergraduate students in physics and maybe in mathematics will surely benefit of a lecture and practice of this book. Each of the ten chapters indeed contains some lists of significant exercises. The more or less detailed solutions of these exercises are gathered at the end of the book." (Alain Brillard, Zentralblatt MATH, 2003) "Continuum models ignoring the substructures of fluids are useful and widely applied for the description of fields, flows, and waves in different research works. This book gives a first introduction to the mathematical methods necessary for the solution of the resulting equations. … Each chapter contains some examples and exercises. … The results of the exercises are listed at the end of the book. … the book is a useful introduction in this important branch of knowledge." (Bernd Platzer, www.zamm-journal.org, 2004) "David Parker’s book Fields, Flows and Waves: An Introduction to Continuum Models … is a fine addition to the Springer Undergraduate Mathematics Series. … For the subjects considered, the author provides masterly compact accounts of the physical phenomena … and solves interesting problems. Parker takes particular care to examine the physical implications of the mathematical solutions … . An adequate selection of student exercises is included, with solutions … . could be used to enrich an advanced undergraduate or beginning graduate course on continuum mechanics." (James Casey, Physics today, October, 2004)Table of Contents1. The Continuum Description.- 1.1 Densities and Fluxes.- 1.2 Conservation and Balance Laws in One Dimension.- 1.3 Heat Flow.- 1.4 Steady Radial Flow in Two Dimensions.- 1.5 Steady Radial Flow in Three Dimensions.- 2. Unsteady Heat Flow.- 2.1 Thermal Energy.- 2.1.1 Heat Balance in One-dimensional Problems.- 2.1.2 Some Special Solutions of Equation (2.3).- 2.2 Effects of Heat Supply.- 2.3 Unsteady, Spherically Symmetric Heat Flow.- 3. Fields and Potentials.- 3.1 Gradient of a Scalar.- 3.1.1 Some Applications.- 3.2 Gravitational Potential.- 3.2.1 Special Properties of the Function ?=r?1.- 3.3 Continuous Distributions of Mass.- 3.4 Electrostatics.- 3.4.1 Gauss’s Law of Flux.- 3.4.2 Charge-free Regions.- 3.4.3 Surface Charge Density.- 4. Laplace’s Equation and Poisson’s Equation.- 4.1 The Ubiquitous Laplacian.- 4.2 Separable Solutions.- 4.3 Poisson’s Equation.- 4.4 Dipole Solutions.- 4.4.1 Uses of Dipole Solutions to ?2?=0.- 4.4.2 Spherical Inclusions.- 5. Motion of an Elastic String.- 5.1 Tension and Extension; Kinematics and Dynamics.- 5.1.1 Dynamics.- 5.2 Planar Motions.- 5.2.1 Small Transverse Motions.- 5.2.2 Longitudinal Motions.- 5.3 Properties of the Wave Equation.- 5.3.1 Standing Waves.- 5.3.2 Superposition of Standing Waves.- 5.4 D’Alembert’s Solution, Travelling Waves and Wave Reflections.- 5.4.1 Wave Reflections.- 5.5 Other One-dimensional Waves.- 5.5.1 Acoustic Vibrations in a’ lUbe.- 5.5.2 Telegraphy and High-voltage Transmission.- 6. Fluid Flow.- 6.1 Kinematics and Streamlines.- 6.1.1 Some Important Examples of Steady Flow.- 6.2 Volume Flux and Mass Flux.- 6.2.1 Incompressible Fluids.- 6.2.2 Mass Conservation.- 6.3 Two-dimensional Flows of Incompressible Fluids.- 6.3.1 The Continuity Equation.- 6.3.2 Irrotational Flows and the Velocity Potential.- 6.3.3 The Stream Function.- 6.4 Pressure in a Fluid.- 6.4.1 Resultant Force.- 6.4.2 Hydrostatics and Archimedes’ Principle.- 6.4.3 Momentum Density and Momentum Flux.- 6.5 Bernoulli’s Equation.- 6.5.1 The Material (Advected) Derivative.- 6.5.2 Bernoulli’s Equation and Dynamic Pressure.- 6.5.3 The Principle of Aerodynamic Lift.- 6.6 Three-dimensional, Incompressible Flows.- 6.6.1 The Continuity Equation.- 6.6.2 Irrotational Flows, the Velocity Potential and Laplace’s Equation.- 7. Elastic Deformations.- 7.1 The Kinematics of Deformation.- 7.1.1 Deformation Gradient.- 7.1.2 Stretch and Rotation.- 7.2 Polar Decomposition.- 7.3 Stress.- 7.3.1 Traction Vectors.- 7.3.2 Components of Stress.- 7.3.3 Traction on a General Surface.- 7.4 Isotropic Linear Elasticity.- 7.4.1 The Constitutive Law.- 7.4.2 Stretching, Shear and Torsion.- 8. Vibrations and Waves.- 8.1 Wave Reflection and Refraction.- 8.1.1 Use of the Complex Exponential.- 8.1.2 Plane Waves.- 8.1.3 Reflection at a Rigid Wall.- 8.1.4 Refraction at an Interface.- 8.1.5 Total Internal Reflection.- 8.2 Guided Waves.- 8.2.1 Acoustic Waves in a Layer.- 8.2.2 Waveguides and Dispersion.- 8.3 Love Waves in Elasticity.- 8.4 Elastic Plane Waves.- 8.4.1 Elastic Shear Waves.- 8.4.2 Dilatational Waves.- 9. Electromagnetic VVaves and Light.- 9.1 Physical Background.- 9.1.1 The Origin of Maxwell’s Equations.- 9.1.2 Plane Electromagnetic Waves.- 9.1.3 Reflection and Refraction of Electromagnetic Waves.- 9.2 Waveguides.- 9.2.1 Rectangular Waveguides.- 9.2.2 Circular Cylindrical Waveguides.- 9.2.3 An Introduction to Fibre Optics.- 10. Chemical and Biological Models.- 10.1 Diffusion of Chemical Species.- 10.1.1 Fick’s Law of Diffusion.- 10.1.2 Self-similar Solutions.- 10.1.3 Travelling Wavefronts.- 10.2 Population Biology.- 10.2.1 Growth and Dispersal.- 10.2.2 Fisher’s Equation and Self-limitation.- 10.2.3 Population-dependent Dispersivity.- 10.2.4 Competing Species.- 10.2.5 Diffusive Instability.- 10.3 Biological Waves.- 10.3.1 The Logistic Wavefront.- 10.3.2 Travelling Pulses and Spiral Waves.- Solutions.
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