Nonlinear science Books
Oxford University Press Complexity
Book SynopsisThe importance of complexity is well-captured by Hawking''s comment: Complexity is the science of the 21st century. From the movement of flocks of birds to the Internet, environmental sustainability, and market regulation, the study and understanding of complex non-linear systems has become highly influential over the last 30 years.In this Very Short Introduction, one of the leading figures in the field, John Holland, introduces the key elements and conceptual framework of complexity. From complex physical systems such as fluid flow and the difficulties of predicting weather, to complex adaptive systems such as the highly diverse and interdependent ecosystems of rainforests, he combines simple, well-known examples -- Adam Smith''s pin factory, Darwin''s comet orchid, and Simon''s ''watchmaker'' -- with an account of the approaches, involving agents and urn models, taken by complexity theory. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.Table of Contents1. Complex systems ; 2. Complex physical systems ; 3. Complex adaptive systems ; 4. Agents, networks, degree, and recirculation ; 5. Specialization and diversity ; 6. Emergence ; 7. Co-evolution and the formation of niches ; 8. Putting it all together ; Further reading ; Index
£9.49
Pearson Education Limited Optimization in Operations Research
Book SynopsisTable of Contents 1. Problem Solving with Mathematical Models. 2. Deterministic Optimization Models in Operations Research. 3. Improving Search. 4. Linear Programming Models. 5. Simplex Search for Linear Programming. 6. Interior Point Methods for Linear Programming. 7. Duality and Sensitivity in Linear Programming. 8. Multiobjective Optimization and Goal Programming. 9. Shortest Path and Discrete Dynamic Programming. 10. Network Flows. 11. Discrete Optimization Models. 12. Discrete Optimization Methods. 13. Unconstrained Nonlinear Programming. 14. Constrained Nonlinear Programming.
£77.99
Cambridge University Press A Students Guide to the NavierStokes Equations
Book SynopsisThis Student's Guide provides a clear and focused explanation of the Navier-Stokes equations of fluid motion. Designed as a supplementary resource for undergraduate and graduate students, each chapter includes a selection of exercises. Video podcasts demonstrating the solutions are provided online, along with written solutions and other resources.Table of ContentsPreface; Acknowledgements; 1. Mass conservation and the continuity equation; 2. The material derivative: The first step to the Navier-Stokes equations; 3. Force balance, the stress tensor, and the Navier-Stokes equations; 4. The Navier-Stokes equations: Another approach; 5. The energy equation and a discussion on diffusion and advection; 6. Non-dimensionalalization and scaling; Further reading; Index.
£20.81
Oxford University Press Chaos
Book SynopsisChaos exists in systems all around us. Even the simplest system of cause and effect can be subject to chaos, denying us accurate predictions of its behaviour, and sometimes giving rise to astonishing structures of large-scale order. Our growing understanding of Chaos Theory is having fascinating applications in the real world - from technology to global warming, politics, human behaviour, and even gambling on the stock market.Leonard Smith shows that we all have an intuitive understanding of chaotic systems. He uses accessible maths and physics (replacing complex equations with simple examples like pendulums, railway lines, and tossing coins) to explain the theory, and points to numerous examples in philosophy and literature (Edgar Allen Poe, Chang-Tzu, Arthur Conan Doyle) that illuminate the problems. The beauty of fractal patterns and their relation to chaos, as well as the history of chaos, and its uses in the real world and implications for the philosophy of science are all discussed in this Very Short Introduction.ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.Trade ReviewLeonard Smith's Chaos (part of the Oxford Very Short Introduction series) will give you the clearest (but not too painful idea) of the maths involved... There's a lot packed into this little book, and for such a technical exploration it's surprisingly readble and enjoyable - I really wanted to keep turning the pages. Smith also has some excellent words of wisdom about common misunderstandings of chaos theory... One of the best books so far in this useful and informative series. * popularscience.co.uk *Table of ContentsPreface ; 1. The Emergence of Chaos ; 2. Exponential Growth, Nonlinearity, Common Sense ; 3. Chaos in Context: Determinism Randomness and Noise ; 4. Chaos in Mathematical Models ; 5. Fractals, Strange Attractors, and Dimension(s) ; 6. Quantifying the Dynamics of Uncertainty ; 7. Real numbers, Real Observations and Computers ; 8. Sorry, Wrong Number: Statistics and Chaos ; 9. Predictability: Does Chaos Constrain Our Forecasts? ; 10. Applied Chaos: Can We See Through Our Models? ; 11. Philosophy in Chaos ; Glossary ; Further Reading
£9.49
Oxford University Press Introduction to Modern Dynamics
£40.84
Springer International Publishing AG Open Conformal Systems and Perturbations of
Book SynopsisThe focus of this book is on open conformal dynamical systems corresponding to the escape of a point through an open Euclidean ball. The ultimate goal is to understand the asymptotic behavior of the escape rate as the radius of the ball tends to zero. In the case of hyperbolic conformal systems this has been addressed by various authors. The conformal maps considered in this book are far more general, and the analysis correspondingly more involved. The asymptotic existence of escape rates is proved and they are calculated in the context of (finite or infinite) countable alphabets, uniformly contracting conformal graph-directed Markov systems, and in particular, conformal countable alphabet iterated function systems. These results have direct applications to interval maps, rational functions and meromorphic maps. Towards this goal the authors develop, on a purely symbolic level, a theory of singular perturbations of Perron--Frobenius (transfer) operators associated with countable alphabet subshifts of finite type and Hölder continuous summable potentials. This leads to a fairly full account of the structure of the corresponding open dynamical systems and their associated surviving sets.Table of Contents1. Introduction.- 2. Singular Perturbations of Classical Original Perron–Frobenius Operators on Countable Alphabet Symbol Spaces.- 3. Symbol Escape Rates and the Survivor Set K(Un).- 4. Escape Rates for Conformal GDMSs and IFSs.- 5. Applications: Escape Rates for Multimodal Mapsand One-Dimensional Complex Dynamics.
£35.99
Society for Industrial and Applied Mathematics Augmented Lagrangian and Operator Splitting Methods in Nonlinear Mechanics Studies in Applied and Numerical Mathematics Series Number 9
Book SynopsisA need for a deeper understanding of the convergence properties of augmented Lagrangian algorithms and of their relationship to operator-splitting methods such as alternating-methods direction and the development of more efficient algorithms prompted the authors to write this book. The volume is oriented to applications in continuum mechanics. This volume deals with the numerical simulation of the behavior of continuous media by augmented Lagrangian and operator-splitting methods (coupled to finite-element approximations). It begins with a description of the mechanical and mathematical frameworks of the considered applications as well as a general analysis of the basic numerical methods additionally used to study them. These ideas are then applied to specific classes of mechanical problems.
£84.89
Cambridge University Press A First Course in Magnetohydrodynamics
Book Synopsis
£56.99
John Wiley & Sons Inc Nonlinear Dynamics and Chaos 2nd Edition
Book SynopsisNonlinear dynamics and chaos involves the study of apparently random happenings within a system or process. The subject has wide applications within mathematics, engineering, physics and other physical sciences.This second edition covers the latest research conducted in this area.Trade Review"... much more extensive than before." (The Mathematical Review, March 2004) "The fully updated second edition provides a self-contained introduction to the theory and applications of nonlinear dynamics and chaos." (International Journal of Environmental Analytical Chemistry, Vol.84, No.14 – 15, 10 – 20 December 2004)Table of ContentsPreface. Preface to the First Edition. Acknowledgements from the First Edition. Introduction PART I: BASIC CONCEPTS OF NONLINEAR DYNAMICS An overview of nonlinear phenomena Point attractors in autonomous systems Limit cycles in autonomous systems Periodic attractors in driven oscillators Chaotic attractors in forced oscillators Stability and bifurcations of equilibria and cycles PART II ITERATED MAPS AS DYNAMICAL SYSTEMS Stability and bifurcation of maps Chaotic behaviour of one-and two-dimensional maps PART III FLOWS, OUTSTRUCTURES AND CHAOS The Geometry of Recurrence The Lorenz system Rosslers band Geometry of bifurcations PART IV APPLICATIONS IN THE PHYSICAL SCIENCES Subharmonic resonances of an offshore structure Chaotic motions of an impacting system Escape from a potential well Appendix. Illustrated Glossary. Bibliography. Online Resource. Index.
£203.36
John Wiley & Sons Inc Nonlinear Dynamics and Chaos
Book SynopsisSince the bestselling first edition was published, there has been a lot of new research conducted in the area of nonlinear dynamics and chaos. This revised edition provides new material, including a glossary and bibliography, as well as a generous supplement of new figures and illustrations.Trade Review"... much more extensive than before." (The Mathematical Review, March 2004) "The fully updated second edition provides a self-contained introduction to the theory and applications of nonlinear dynamics and chaos." (International Journal of Environmental Analytical Chemistry, Vol.84, No.14 – 15, 10 – 20 December 2004)Table of ContentsPreface vi Preface to the First Edition xv Acknowledgements from the First Edition xxi 1 Introduction 1 1.1 Historical background 1 1.2 Chaotic dynamics in Duffing's oscillator 3 1.3 Attractors and bifurcations 8 Part I Basic Concepts of Nonlinear Dynamics 2 An overview of nonlinear phenomena 15 2.1 Undamped, unforced linear oscillator 15 2.2 Undamped, unforced nonlinear oscillator 17 2.3 Damped, unforced linear oscillator 18 2.4 Damped, unforced nonlinear oscillator 20 2.5 Forced linear oscillator 21 2.6 Forced nonlinear oscillator: periodic attractors 22 2.7 Forced nonlinear oscillator: chaotic attractor 24 3 Point attractors in autonomous systems 26 3.1 The linear oscillator 26 3.2 Nonlinear pendulum oscillations 34 3.3 Evolving ecological systems 41 3.4 Competing point attractors 45 3.5 Attractors of a spinning satellite 47 4 Limit cycles in autonomous systems 50 4.1 The single attractor 50 4.2 Limit cycle in a neural system 51 4.3 Bifurcations of a chemical oscillator 55 4.4 Multiple limit cycles in aeroelastic galloping 58 4.5 Topology of two-dimensional phase space 61 5 Periodic attractors in driven oscillators 62 5.1 The Poincare map 62 5.2 Linear resonance 64 5.3 Nonlinear resonance 66 5.4 The smoothed variational equation 71 5.5 Variational equation for subharmonics 72 5.6 Basins ofattraction by mapping techniques 73 5.7 Resonance ofa self-exciting system 76 5.8 The ABC ofnonlinear dynamics 79 6 Chaotic attractors in forced oscillators 80 6.1 Relaxation oscillations and heartbeat 80 6.2 The Birkhoff±Shaw chaotic attractor 82 6.3 Systems with nonlinear restoring force 93 7 Stability and bifurcations of equilibria and cycles 106 7.1 Liapunov stability and structural stability 106 7.2 Centre manifold theorem 109 7.3 Local bifurcations of equilibrium paths 111 7.4 Local bifurcations of cycles 123 7.5 Basin changes at local bifurcations 126 7.6 Prediction ofincipient instability 128 Part II Iterated Maps as Dynamical Systems 8 Stability and bifurcation of maps 135 8.1 Introduction 135 8.2 Stability of one-dimensional maps 138 8.3 Bifurcations of one-dimensional maps 139 8.4 Stability of two-dimensional maps 149 8.5 Bifurcations of two-dimensional maps 156 8.6 Basin changes at local bifurcations of limit cycles 158 9 Chaotic behaviour of one- and two-dimensional maps 161 9.1 General outline 161 9.2 Theory for one-dimensional maps 164 9.3 Bifurcations to chaos 167 9.4 Bifurcation diagram of one-dimensional maps 170 9.5 He non map 174 Part III Flows, Outstructures, and Chaos 10 The geometry of recurrence 183 10.1 Finite-dimensional dynamical systems 183 10.2 Types ofrecurrent behaviour 187 10.3 Hyperbolic stability types for equilibria 195 10.4 Hyperbolic stability types for limit cycles 200 10.5 Implications ofhyperbolic structure 205 11 The Lorenz system 207 11.1 A model ofthermal convection 207 11.2 First convective instability 209 11.3 The chaotic attractor ofLorenz 214 11.4 Geometry ofa transition to chaos 222 1 2 RoÈssler's band 229 12.1 The simply folded band in an autonomous system 229 12.2 Return map and bifurcations 233 12.3 Smale's horseshoe map 238 12.4 Transverse homoclinic trajectories 243 12.5 Spatial chaos and localized buckling 246 13 Geometry of bifurcations 249 13.1 Local bifurcations 249 13.2 Global bifurcations in the phase plane 258 13.3 Bifurcations of chaotic attractors 266 Part IV Applications in the Physical Sciences 14 Subharmonic resonances of an offshore structure 285 14.1 Basic equation and non-dimensional form 286 14.2 Analytical solution for each domain 288 14.3 Digital computer program 289 14.4 Resonance response curves 290 14.5 Effect of damping 294 14.6 Computed phase projections 296 14.7 Multiple solutions and domains ofattraction 298 15 Chaotic motions of an impacting system 302 15.1 Resonance response curve 302 15.2 Application to moored vessels 306 15.3 Period-doubling and chaotic solutions 306 16 Escape from a potential well 313 16.1 Introduction 313 16.2 Analytical formulation 314 16.3 Overview ofthe steady-state response 319 16.4 The two-band chaotic attractor 324 16.5 Resonance ofthe steady states 328 16.6 Transients and basins ofattraction 333 16.7 Homoclinic phenomena 340 16.8 Heteroclinic phenomena 346 16.9 Indeterminate bifurcations 352 Appendix 359 Illustrated Glossary 369 Bibliography 402 Online Resources 428 Index 429
£68.36
Princeton University Press Introduction to Nonlinear Control
Book Synopsis
£63.75
John Wiley & Sons Inc Nonlinear Filters for Image Processing
Book SynopsisThis text covers key mathematical principles and algorithms for nonlinear filters used in image processing. It offers insight into the underlying mathematical and filter design methodologies needed to construct and use nonlinear filters in a variety of applications.Table of ContentsPreface. Logical Image Operators (E. Dougherty & J. Barrera). Computational Gray-Scale Operators (E. Dougherty & J. Barrera). Translation-Invariant Set Operators (E. Dougherty). Granulometric Filters (E. Dougherty & Y. Chen) Easy Recipes for Morphological Filters (H. Heijmans). Introduction to Connected Operators (H. Heijmans). Representation and Optimization of Stack Filters (J. Astola & P. Kuosmanen). Invariant Signals of Median and Stack Filters (J. Astola & P. Kuosmanen). Binary Polynomial Transforms and Logical Correlation (K. Egiazarian, et al.). Applications of Binary Polynomial Transforms (K. Egiazarian, et al.). Random Sets in View of Image Filtering Applications (I. Molchanov). Index.
£154.76
de Gruyter Systemtheorie
Book Synopsis
£126.64
de Gruyter Systemtheorie
Book Synopsis
£126.64
De Gruyter Dynamical Networks
£111.62
Cambridge University Press Quantum Chaos Between Order and Disorder
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£60.10
Cambridge University Press Introduction to Econophysics Correlations and Complexity in Finance
Book SynopsisThis book concerns the use of concepts from statistical physics in the description of financial systems. The authors illustrate the scaling concepts used in probability theory, critical phenomena, and fully developed turbulent fluids. These concepts are then applied to financial time series. The authors also present a stochastic model that displays several of the statistical properties observed in empirical data. Statistical physics concepts such as stochastic dynamics, short- and long-range correlations, self-similarity and scaling permit an understanding of the global behaviour of economic systems without first having to work out a detailed microscopic description of the system. Physicists will find the application of statistical physics concepts to economic systems interesting. Economists and workers in the financial world will find useful the presentation of empirical analysis methods and well-formulated theoretical tools that might help describe systems composed of a huge number oTrade Review'… they have been remarkably successful in presenting a clear and concise introductory summary of a large body of work on the statistical properties of stock prices.' Burton Malkiel, Journal of Economic Literature'Clearly and concisely written, this book provides an excellent introduction to the problem of understanding the empirical statistical properties of prices.' Doyne Farmer, Prediction Company, Santa Fe and the Santa Fe Institute'I feel the book is a useful introduction to the empirical aspects of econophysics.' Blake LeBaron, Nature'The authors are leading researchers in the field, and were well-regarded statistical physicists before that … the book seems aimed the other way, at physicists interested in economics, and for them it would make a good introduction to finance. The writing is clear and friendly, the production values high and the guides to further reading excellent. They will find it well worth their time and money.' Cosma Shalizi, Institute of PhysicsTable of ContentsPreface; 1. Introduction; 2. Efficient market hypothesis; 3. Random walk; 4. Lévy stochastic processes and limit theorems; 5. Scales in financial data; 6. Stationarity and time correlation; 7. Time correlation in financial time series; 8. Stochastic models of price dynamics; 9. Scaling and its breakdown; 10. ARCH and GARCH processes; 11. Financial markets and turbulence; 12. Correlation and anti-correlation between stocks; 13. Taxonomy of a stock portfolio; 14. Options in idealized markets; 15. Options in real markets; Appendix A: notation guide; Appendix B: martingales; References; Index.
£49.23
Cambridge University Press Noise in Nonlinear Dynamical Systems Volume 1 Noise in Nonlinear Dynamical Systems 3 Volume Paperback Set
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£59.11
Cambridge University Press Noise in Nonlinear Dynamical Systems
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£49.13
Cambridge University Press Noise in Nonlinear Dynamical Systems
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£43.30
Cambridge University Press Physics of Solitons
Book SynopsisSolitons are waves with exceptional stability properties which appear in many areas of physics. The basic properties of solitons are introduced here using examples from macroscopic physics (e.g. blood pressure pulses and fibre optical communications). The book then presents the main theoretical methods before discussing applications from solid state or atomic physics such as dislocations, excitations in spin chains, conducting polymers, ferroelectrics and BoseâEinstein condensates. Examples are also taken from biological physics and include energy transfer in proteins and DNA fluctuations. Throughout the book the authors emphasise a fresh approach to modelling nonlinearities in physics. Instead of a perturbative approach, nonlinearities are treated intrinsically and the analysis based on the soliton equations introduced in this book. Based on the authors' graduate course, this textbook gives an instructive view of the physics of solitons for students with a basic knowledge of general pTable of ContentsList of Portraits; Preface; Part I. Different Classes of Solitons: Introduction; 1. Nontopological solitons: the Korteweg-de Vries equation; 2. Topological soltitons: sine-Gordon equation; 3. Envelope solitons and nonlinear localisation: the nonlinear Schrödinger equation; 4. The modelling process: ion acoustic waves in a plasma; Part II. Mathematical Methods for the Study of Solitons: Introduction; 5. Linearisation around the soliton solution; 6. Collective coordinate method; 7. The inverse-scattering transform; Part III. Examples in Solid State and Atomic Physics: Introduction; 8. The Ferm–Pasta–Ulam problem; 9. A simple model for dislocations in crystals; 10. Ferroelectric domain walls; 11. Incommensurate phases; 12. Solitons in magnetic systems; 13. Solitons in Conducting polymers; 14. Solitons in Bose–Einstein condensates; Part IV. Nonlinear Excitations in Biological Molecules: Introduction; 15. Energy localisation and transfer in proteins; 16. Nonlinear dynamics and statistical physics of DNA; Conclusion: Physical solitons: do they exist?; Part V. Appendices: A. Derivation of the KdV equation for surface hydrodynamic waves; B. Mechanics of a continuous medium; C. Coherent states of an harmonic oscillator; References; Index.
£53.99
Cambridge University Press Nonlinear Dynamics Chaotic and Complex Systems
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£41.32
Cambridge University Press A Physical Introduction to Suspension Dynamics 45 Cambridge Texts in Applied Mathematics Series Number 45
Book SynopsisUnderstanding the behaviour of particles suspended in a fluid has many important applications across a range of fields, including engineering and geophysics. Comprising two main parts, this book begins with the well-developed theory of particles in viscous fluids, i.e. microhydrodynamics, particularly for single- and pair-body dynamics. Part II considers many-body dynamics, covering shear flows and sedimentation, bulk flow properties and collective phenomena. An interlude between the two parts provides the basic statistical techniques needed to employ the results of the first (microscopic) in the second (macroscopic). The authors introduce theoretical, mathematical concepts through concrete examples, making the material accessible to non-mathematicians. They also include some of the many open questions in the field to encourage further study. Consequently, this is an ideal introduction for students and researchers from other disciplines who are approaching suspension dynamics for the fTrade Review'The authors introduce theoretical, mathematical concepts through concrete examples, making the material accessible to non-mathematicians … this is an ideal introduction for students and researchers from other disciplines who are approaching suspension dynamics for the first time.' Sylvie Pic, zbMATHTable of ContentsPreface; Prologue; Part I. Microhydrodynamics: 1. Basic concepts in viscous flow; 2. One sphere in Stokes flow; 3. Sophisticated techniques; 4. Particle pair interactions; Interlude: from the microscopic to the macroscopic; 5. Statistical and stochastic concepts; Part II. Toward a Description of Macroscopic Phenomena in Suspensions: 6. Sedimentation; 7. Shear flow; 8. Beyond Stokes flow: finite inertia; Epilogue; References; Index.
£106.00
Cambridge University Press Quantum Chaos
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£139.00
Cambridge University Press Greens Functions and Ordered Exponentials
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£137.09
Cambridge University Press Introduction to Nonlinear Science
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£58.12
Cambridge University Press Thermodynamics of Chaotic Systems
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£72.96
Cambridge University Press Synchronization Universal Concept A Universal Concept in Nonlinear Sciences 12 Cambridge Nonlinear Science Series Series Number 12
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£75.99
Cambridge University Press Nonlinear Dynamics
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£62.00
Cambridge University Press Nonlinear Dynamics
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£45.28
Cambridge University Press Nonlinear Mathematics and its Applications
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£104.50
Cambridge University Press Nonlinear Mathematics and its Applications
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£43.30
Cambridge University Press Nonlinear Dynamics Chaotic and Complex Systems
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£143.34
Cambridge University Press Intellectual Origins of American Radicalism
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£169.10
Cambridge University Press An Introduction to Nonlinear Analysis
Book SynopsisThe techniques used to solve non-linear problems differ greatly from those dealing with linear features. Deriving all the necessary theorems from first principles, this 2005 textbook should give upper undergraduates and graduate students a thorough understanding using as little background material as possible.Trade ReviewReview of the hardback: '… presents an introduction to critical point theory addressed to students with a modest background in Lebesgue integration and linear functional analysis. Many important methods from nonlinear analysis are introduced in a problem oriented way … well written … should be present in the library of any researcher interested in Lévy processes and Lie groups.' Zentralblatt MATHTable of Contents1. Extrema; 2. Critical points; 3. Boundary value problems; 4. Saddle points; 5. Calculus of variations; 6. Degree theory; 7. Conditional extrema; 8. Minimax methods; 9. Jumping nonlinearities; 10. Higher dimensions.
£52.20
Cambridge University Press Applied Solid Mechanics 43 Cambridge Texts in Applied Mathematics Series Number 43
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£63.66
Cambridge University Press Dynamics Statistics and Projective Geometry of Galois Fields
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£31.43
Cambridge University Press Foundations Complexsystem Theories In Economics Evolutionary Biology and Statistical Physics
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£53.99
Cambridge University Press Pattern Formation
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£129.00
Cambridge University Press Graph Directed Markov Systems Geometry and Dynamics of Limit Sets 148 Cambridge Tracts in Mathematics Series Number 148
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£111.00
Cambridge University Press An Introduction to Nonlinear Analysis
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£129.00
Cambridge University Press Plasma Chemistry
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£141.00
Cambridge University Press Chaos and Complexity in Astrophysics
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£78.99
Cambridge University Press The Mathematical Foundations of Mixing The Linked Twist Map as a Paradigm in Applications
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£85.99
Cambridge University Press Heat Transfer
Book SynopsisProviding engineers with the tools to solve real-world heat transfer problems, this textbook includes advanced topics not covered in other books on the subject. Examples are complex and timely problems that are inherently interesting. It integrates Maple, MATLAB®, FEHT and Engineering Equation Solver (EES) directly with the heat transfer material.Trade ReviewReview of the hardback: '… this book significantly raises the bar for heat transfer text books. Further, the integration of theory with computational tools makes the book of high interest at the professional level. Readers are encouraged to go to the website and explore this book and the supporting materials in depth … a major contribution to education in the field of heat transfer.' Journal of Heat Transfer EngineeringTable of Contents1. One-dimensional, steady-state conduction; 2. Two-dimensional, steady-state conduction; 3. Transient conduction; 4. External forced convection; 5. Internal forced convection; 6. Natural convection; 7. Boiling and condensation; 8. Heat exchangers; 9. Mass transfer; 10. Radiation.
£99.99
Cambridge University Press Mathematical Tools for OneDimensional Dynamics
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£68.99
Cambridge University Press ENTROPY IN DYNAMICAL SYSTEMS ENTROPY IN DYNAMICAL SYSTEMS BY DOWNAROWICZ TOMASZ AUTHOR MAY312011 BY DOWNAROWICZ TOMASZ AUTHOR MAY 31 2011 HARDCOVER
Book SynopsisStudents learning the subject from scratch will value this comprehensive text, which presents three major types of dynamics, from the basics to some of the latest results: measure preserving transformations; continuous maps on compact spaces; and operators on function spaces. It will also be a valuable reference for experienced researchers.Trade Review"Overall the writing is clear and the author has included motivational and expository material, as well as some examples and exercises. The presentation is nicely unified, and the different parts of the book interact well." Michael Hochman, Mathematical ReviewsTable of ContentsIntroduction; Part I. Entropy in Ergodic Theory: 1. Shannon information and entropy; 2. Dynamical entropy of a process; 3. Entropy theorems in processes; 4. Kolmogorov–Sinai entropy; 5. The ergodic law of series; Part II. Entropy in Topological Dynamics: 6. Topological entropy; 7. Dynamics in dimension zero; 8. The entropy structure; 9. Symbolic extensions; 10. A touch of smooth dynamics; Part III. Entropy Theory for Operators: 11. Measure theoretic entropy of stochastic operators; 12. Topological entropy of a Markov operator; 13. Open problems in operator entropy; Appendix A. Toolbox; Appendix B. Conditional S-M-B; List of symbols; References; Index.
£81.99
Cambridge University Press Nanoscale Hydrodynamics of Simple Systems
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£58.12
