Mathematical modelling Books

Book SynopsisThe mathematical theory of Krylov subspace methods with a focus on solving systems of linear algebraic equations is given a detailed treatment in this principles-based book. Starting from the idea of projections, Krylov subspace methods are characterised by their orthogonality and minimisation properties. Projections onto highly nonlinear Krylov subspaces can be linked with the underlying problem of moments, and therefore Krylov subspace methods can be viewed as matching moments model reduction. This allows enlightening reformulations of questions from matrix computations into the language of orthogonal polynomials, Gauss-Christoffel quadrature, continued fractions, and, more generally, of Vorobyev''s method of moments. Using the concept of cyclic invariant subspaces, conditions are studied that allow the generation of orthogonal Krylov subspace bases via short recurrences. The results motivate the important practical distinction between Hermitian and non-Hermitian problems. Finally, tTable of Contents1. Introduction ; 2. Krylov subspace methods ; 3. Matching moments and model reduction view ; 4. Short recurrences for generating orthogonal Krylov subspace bases ; 5. Cost of computations using Krylov subspace methods

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Book SynopsisPublished in 2002, the first edition of Geostatistical Reservoir Modeling brought the practice of petroleum geostatistics into a coherent framework, focusing on tools, techniques, examples, and guidance. It emphasized the interaction between geophysicists, geologists, and engineers, and was received well by professionals, academics, and both graduate and undergraduate students.In this revised second edition, Deutsch collaborates with co-author Michael Pyrcz to provide a full update on the latest tools, methods, practice, and research in the field of petroleum Geostatistics. Key geostatistical concepts such as integration of production data, scale-up, and cosimulation receive greater attention, and new topics like model checking, multiple point simulation, and production data integration are included in detail. Geostatistical methods are extensively illustrated through enhanced schematics, work flows and examples. A greater number of examples also are included, such as the integration oTable of Contents1. Introduction ; 2. Modeling Principles ; 3. Modeling Prerequisites ; 4. Modeling Methods ; 5. Model Applications ; 6. Special Topics ; Glossary and Notation ; Bibliography ; Index

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Book SynopsisThis book provides an introduction to MIP modeling and to planning systems, a unique collection of reformulation results, and an easy to use problem-solving library. This approach is demonstrated through a series of real life case studies, exercises and detailed illustrations.Trade ReviewFrom the reviews: "The book provides a complete overview of different models existing in the literature as well as in practice. … The authors also analyze MIP (mixed integer programming) based algorithms … . Practitioners who are interested in using MIP … can use the book to identify the most efficient way to formulate the problems and to choose the most efficient solution method. … it also can serve as a good reference for students and researchers. Overall, this is an excellent book." (Panos M. Pardalos, Mathematical Reviews, Issue 2006 k) "Recently published Production Planning by Mixed Integer Programming by Yves Pochet and Laurence Wolsey has raised considerable expectations. Firstly, problems of production planning are among the most interesting in Operations Research. … Secondly, both authors are renowned experts in the field. … There is no doubt that this volume offers the present best introduction to integer programming formulations of lot-sizing problems, encountered in production planning." (Jakub Marecek, The Computer Journal, September, 2007)Table of ContentsProduction Planning and MIP.- The Modeling and Optimization Approach.- Production Planning Models and Systems.- Mixed Integer Programming Algorithms.- Classification and Reformulation.- Reformulations in Practice.- Basic Polyhedral Combinatorics for Production Planning and MIP.- Mixed Integer Programming Algorithms and Decomposition Approaches.- Single-Item Uncapacitated Lot-Sizing.- Basic MIP and Fixed Cost Flow Models.- Single-Item Lot-Sizing.- Lot-Sizing with Capacities.- Backlogging and Start-Ups.- Single-Item Variants.- Multi-Item Lot-Sizing.- Multi-Item Single-Level Problems.- Multi-Level Lot-Sizing Problems.- Problem Solving.- Test Problems.

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Book SynopsisA comprehensive introduction to a wide variety of statistical methods for the analysis of repeated measurements. It is designed to be both a useful reference for practitioners and a textbook for a graduate-level course focused on methods for the analysis of repeated measurements.Trade ReviewFrom the reviews: MATHEMATICAL REVIEWS "…the book covers a wide range of topics, including inference based on normal theory, repeated categorical outcomes and missing values. The book is based on lecture notes used by the author since 1991. Hence, the material and the structure of the book have been well tested by different audiences. Another feature of the book is the inclusion of a very rich collection of problems with excellent real data. Thus, it is a nice textbook for a semester course on repeated measurements and longitudinal data." SHORT BOOK REVIEW "Each major topic is introduced logically; background theory is clearly elucidated, and at least one example is carefully worked in detail. The use of eighty real sets of data, given in full, is a most attractive feature. Attention is concentrated on those techniques that are most readily available in software. ... This should prove to be a very useful text for teacher, student and practitioner alike." JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION "Most other books on repeated measurements tend to focus on specialized topics. In my opinion, [this] book is the most comprehensive and readable of the lot. I would highly recommend its use as a text for a semester-length graduate course for biostatistics and statistics students and also as resource book for consulting biostatisticians and statisticians. In addition, this book would be a valuable resource for students from other fields of study (e.g., the health sciences) who have a statistical aptitude. The book is definitely worth the price." "The intention of the book is ‘to provide a reasonably comprehensive overview of methods for the analysis of repeated measurements’ with focus on standard statistical methods … . In my opinion the book gives a nice, comprehensive overview of methods for the analysis of repeated measurements. … The availability of data sets, overheads, etc. is a very valuable supplement for both teachers and students. … The book … could be a natural choice for a course in repeated measurements for graduate students in (bio-) statistics." (Niels Trolle Andersen, Statistics in Medicine, Vol. 24 (5), 2005) "This book is a very interesting and comprehensive summary of a wide selection of statistical methods for the analysis of repeated measurements. It is indeed an ideal and carefully written text to be used as a reference guide for practitioners and, in addition, as a great, up to date and very complete textbook for a graduate-level course in Statistics and/or Biostatistics. … I highly recommend Statistical Methods … as a good reference book for anyone interested in looking into the different available methodologies … ." (Vicente Núñez-Antón, Journal of Applied Statistics, Vol. 30 (10), December, 2003) "This book provides a comprehensive introduction to a wide variety of statistical methods for the analysis of repeated measurements. … In conclusion, as a course text on repeated measurements this book clearly has major strengths over others in that it provides coverage on a wide range of topics and provides extensive further reading material. … I would recommend this text as a general reference book on repeated measurements which would make a worthwhile addition to a departmental library." (Fiona Holland, Pharmaceutical Statistics, 2003) "Most other books on repeated measurements … tend to focus on specialized topics. In my opinion, Statistical Methods for the Analysis of Repeated Measurements book is the most comprehensive and readable of the lot. I would highly recommend its use as a text for a semester-length graduate course for biostatistics and statistics students and … for consulting biostatisticians and statisticians. … a valuable resource for students from other fields of study … who have a statistical aptitude. The book is definitely worth the price." (Melvin L. Moeschberger, Journal of the American Statistical Association, March, 2003) "The book aims at describing, discussing and demonstrating a variety of statistical methods for the analysis of repeated measurements … . the book covers a very wide range of topics, including inference based on normal theory, repeated categorical outcomes and missing values. … Another feature of the book is the inclusion of a very rich collection of problems with excellent real data. Thus, it is a nice textbook for a semester course on repeated measurements and longitudinal data." (Jack C. Lee, Mathematical Reviews, 2003 e) "This book is intended to provide a comprehensive introduction to a wide range of statistical methods for the analysis of repeated measurements. … For use in a course, I would use it for an applied graduate-level statistics course on linear models for analysis of repeated measurements. This text is useful not only with regards to the statistical methods, but also for the real data examples that can be explored with the various models and methods under study." (James R. Kenyon, Technometrics, Vol. 45 (1), 2003) "This book provides a reasonably comprehensive overview of a wide variety of statistical methods for the analysis of repeated measurements … . The important features of this book include a summary of both classical and recent methods for continuous and categorical outcome variables, numerous homework problems, and the extensive use of real data sets in examples. … This book will be of interest to graduate students in statistics and biostatistics as well as to practicing statisticians in academic, industry and research institutions.” (Ivan Krivý, Zentralblatt MATH, Vol. 985, 2002)Table of ContentsIntroduction * Univariate Methods * Normal-Theory Methods: Unstructured Multivariate Approach * Normal Theory Methods: Multivariate Analysis of Variance * Normal-Theory Methods: Repeated Measures ANOVA * Normal Theory Methods: Linear Mixed Models * Weighted Least Squares Analysis of Repeated Categorical Outcomes * Randomization Model Methods for One-Sample Repeated Measurements * Methods Based on Extensions of Generalized Linear Models * Nonparametric Methods

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Book SynopsisPraise for the First Edition This...novel and highly stimulating book, which emphasizes solving real problems...should be widely read. It will have a positive and lasting effect on the teaching of modeling and statistics in general. - Short Book Reviews This new edition features developments and real-world examples that showcase essential empirical modeling techniques Successful empirical model building is founded on the relationship between data and approximate representations of the real systems that generated that data. As a result, it is essential for researchers who construct these models to possess the special skills and techniques for producing results that are insightful, reliable, and useful. Empirical Model Building: Data, Models, and Reality, Second Edition presents a hands-on approach to the basic principles of empirical model building through a shrewd mixture of differential equations, computer-intensive methods, and data. TheTrade Review“It is also an excellent reference for applied statisticians and researchers who carry out quantitative modeling in their everyday work.” (Mathematical Reviews, 2012) "Empirical Model Building, Second Edition is an excellent reference for applied statisticians and researchers who carry out quantitative modeling in their everyday work." (TMCnet.com, 18 January 2012) Table of ContentsPreface. 1.Models of Growth and Decay. 2. Models of Competition, Survival, and Combat. 3. Epidemics. 4. Bootstrapping. 5. Monte-Carlo Solution of Differential Equations. 6. SIMEST, SMIDAT, and Psuedoreality. 7. Exploratory Data Analysis. 8. Noise Killing Chaos. 9. Bayesian Approaches. 10. Multivariate and Robust Procedures in Statistical Process Control. 11. Optimization and Estimation in the Real (Noisy) World. 12. Utility and Group Preference. 13. A Primer in Sampling. 14. Stock Market: Strategies Based on Data versus Strategies Based on Ideology. Appendix A. A Brief Introduction to Probability and Statistics. Appendix B. Statistical Tables.

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Book SynopsisAn introduction to classical and modern mathematical models, methods, and issues in population ecology. Includes numerous line diagrams, relevant problems and supplementary mathematical and historical material that enhances understanding.Trade Review'Kot's current compilation will prove extremely useful …'. Acta Biotheoretica'Kot's book fills the need for a rigorous, graduate-level textbook in mathematical population ecology, and does it very well'. Quarterly Review of Biology'This is a further important book in the field of the theoretical ecology … the volume will prove invaluable to all students of mathematical biology and theoretical ecology.' Folia Geobotanica'… suitable for a year's course of study for upper level students and beginning researchers in ecology, mathematical biology and applied mathematics. … an excellent introduction to mathematical ecology for the reader with an appropriate mathematical background (calculus, differential equations and probability theory).' Zentralblatt MATHTable of ContentsPreface; Part I. Unstructured Population Models; Section A. Single Species Models: 1. Exponential, logistic and Gompertz growth; 2. Harvest models - bifurcations and breakpoints; 3. Stochastic birth and death processes; 4. Discrete-time models; 5. Delay models; 6. Branching processes; Section B. Interacting Populations: 7. A classical predator-prey model; 8. To cycle or not to cycle; 9. Global bifurcations in predator-prey models; 10. Chemosts models; 11. Discrete-time predator-prey models; 12. Competition models; 13. Mutualism models; Section C. Dynamics of Exploited Populations: 14. Harvest models and optimal control theory; Part II. Structured Population Models; Section D. Spatially-Structured Models: 15. Spatially-structured models; 16. Spatial steady states: linear problems; 17. Spatial steady states: nonlinear problems; 18. Models of spread; Section E. Age-Structured Models: 19. An overview of linear age-structured models; 20. The Lokta integral equation; 21. The difference equation; 22. The Leslie matrix; 23. The McKendrick-von Foerster PDE; 24. Some simple nonlinear models; Section F. Gender-Structured Models: 25. Two-sex models; References; Index.

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Book SynopsisThis is a book about a gambling system that works. It tells the story of how the author used computer simulations and mathematical modeling techniques to predict the outcome of jai-alai matches and bet on them successfully - increasing his initial stake by over 500% in one year! His results can work for anyone: at the end of the book he tells the best way to watch jai-alai, and how to bet on it. With humour and enthusiasm, Skiena details a life-long fascination with computer predictions and sporting events. Along the way, he discusses other gambling systems, both successful and unsuccessful, for such games as lotto, roulette, blackjack, and the stock market. Indeed, he shows how his jai-alai system functions just like a miniature stock trading system. Do you want to learn about program trading systems, the future of Internet gambling, and the real reason brokerage houses don't offer mutual funds that invest at racetracks and frontons? How mathematical models are used in political pollTrade Review'A well told story … [the author] really knows his stuff. I couldn't put it down. The informal style is terrific; we should have more books written this way … Skiena really knows how to teach.' Persi Diaconis, Stanford University'The book is easy to follow and provides insight to the beginning student of gambling games.' William T. Ziemba, University of British Columbia'This funny and utterly compelling book is the story of how Skiena and his students constructed an embarrassingly successful computer program called Maven.' Tony Jones, New Scientist'The book teaches with humor and enthusiasm how to use statistical data and analyze them, how to use computers for processing data, how to create mathematical models that fit your problem, and many other interesting things.' Zentralblatt für Mathematik und ihre Grenzgebiete Mathematics Abstracts'This interesting book is about a gambling system that works. His methods can work for anyone; at the end of the book the author describes the best way to bet on jai alai. The book will be surely of interest not only for the fun of jai alai, but also for all those who would like to learn about the program trading systems, the future of internet gambling, how mathematical methods are used in political polling, what is the difference between the correlation and causality, and so on. If you are interested in gambling and mathematics, the odds are that this is a book for you!' EMS'Interspersed with this account are many valuable digressions which make the book a very good general introduction to the ideas of modelling and simulation, enlivened by the highly practical example which forms its core. Skiena writes with wit, clarity and enthusiasm, and his story is an enthralling one. No matter if (like me) you have never heard of Jai Alai before, or never bet on a horse or bought a lottery ticket in your life, the reader identifies with Skiena's quest, and shares vicariously in his success.' The Mathematical Gazette'Stephen Skiena has a rare gift: … Charmingly self-depreciative, Skiena suggests early on in Calculated Bets he's just a 'mild mannered professor', noting that 'part of the fun' of the title 'is the spectacle of a second-rate mind wasting itself on jai alai'… Concerns for the future of gambling aside, Calculated Bets is an eloquent exercise in prose and effortlessly teaches the less mathematically minded amongst us how computing can be innovative and interesting. It also offers a unique tale of how one man, along with the help of a few friends, can get to grips with betting and beat the bookmakers. It's for these reasons and so many more that we strongly recommend Calculated Bets.' www.casinoonline.co.ukTable of ContentsPreface; Acknowledgements; 1. The making of a gambler; 2. What is Jai Alai?; 3. Monte Carlo on the Tundra; 4. The impact of the internet; 5. Is this bum any good?; 6. Modeling the payoffs; 7. Engineering the system; 8. Putting my money where my mouth is; 9. How should you bet?; 10. Projects to ponder; Glossary; For further reading; Index.

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Book SynopsisIn this exciting new volume detailing the latest developments in spatial ecological theory, innovative methods of simplifying spatial complexity are put forward. This book is for all those interested in theoretical or evolutionary biology and applied mathematics.Trade Review'… a valuable text for graduate students and researchers in ecology …'. Monatshefte für MathematikTable of Contents1. Introduction Richard Law, Ulf Dieckmann and J. A. J. Metz; Part I. Empirical and Statistical Background: 2. A neighbourhood view of interactions among individual plants Peter Stoll and Jacob Weiner; 3. Spatial interactions among grassland plant populations Jonathan Silvertown and Bastow Wilson; 4. Spatio-temporal patterns in grassland communities Tomás Herben, Heinjo During and Richard Law; 5. Statistical modelling and analysis of spatial patterns David Cox, Valerie Isham and Paul Northrop; Part II. When the Mean-Field Approximation Breaks Down: 6. Grid-based models as tools for ecological research Christian Wissel; 7. Coexistence of replicators in prebiotic evolution Tamas Czárán and Eörs Szathmáry; 8. Games on grids Martin Nowak and Karl Sigmund; 9. The interplay between reaction and diffusion Mikael Cronhjort; 10. Spirals and spots: novel evolutionary phenomena through spatial self-structuring Maarten Boerlijst; 11. The role of space in reducing predator-prey cycles Vincent Jansen and André de Roos; Part III. Simplifying Spatial Complexity: Examples: 12. Spatial scales and low-dimensional deterministic dynamics Howard Wilson and Matthew Keeling; 13. Lattice models and pair-approximation in ecology Yoh Iwasa; 14. Moment approximations of individual-based models Richard Law and Ulf Dieckmann; 15. Evolutionary dynamics in spatial host-pathogen systems Matthew Keeling; 16. Foci, small and large: a specific class of biological invasion Jan-Carel Zadoks; 17. Wave patterns in spatial games and the evolution of cooperation Régis Ferriere and Rick Michod; Part IV. Simplifying Spatial Complexity: Techniques: 18. Pair approximations for lattice-based ecological models Kazunori Sato and Yoh Iwasa; 19. Pair approximations for different spatial geometries Minus van Baalen; 20. Moment methods for ecological processes in continuous space Benjamin Bolker, Steven Pacala and Simon Levin; 21. Relaxation projections and the method of moments Ulf Dieckmann; 22. Methods for reaction-diffusion models Vivian Hutson and Glen Vickers; 23. The dynamics of invasion waves Johan A. J. Metz, Denis Mollison and Frank van den Bosch; 24 Epilogue Johan A. J. Metz, Ulf Dieckmann and Richard Law; References; Index.

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Book SynopsisDynamo theory is the study of how large-scale magnetic fields can arise in bodies such as the Earth, Sun and stars, and it brings together researchers in such diverse subjects as geophysics, astronomy and nuclear reactor technology. In this book are papers on the theory of dynamos, delivered at the Isaac Newton Institute for Mathematical Sciences in Cambridge in September 1992, and these have been carefully brought together to form a unified presentation. Topics covered include: modelling of solar magnetic field generation, theoretical studies of the galaxies, and papers on 'fast dynamos', study of magnetic field regeneration in fluid of very high electrical conductivity. This volume represents a comprehensive record of research into the theory of dynamos.Trade Review"...a valuable reference on the overall state of the subject, as well as on current concerns and who is actively contributing." Peter Gilman, ScienceTable of ContentsPreface; 1. Magnetic noise and the galactic dynamo; 2. On the oscillation in model Z; 3. Nonlinear dynamos in a spherical shell; 4. The onset of dynamo action in alpha-lambda dynamos; 5. Multifractality, near-singularities and the role of stretching in turbulence; 6. Note on perfect fast dynamo action in a large-amplitude SFS map; 7. A thermally driven disc dynamo; 8. Magnetic instabilities in rapidly rotating systems; 9. Modes of a flux ring lying in the equator of a star; 10. A nonaxisymmetric dynamo in toroidal geometry; 11. Simulating the interaction of convection with magnetic fields in the sun; 12. Experimental aspects of a laboratory scale liquid sodium dynamo model; 13. Influence of the period of an ABC flow on its dynamo action; 14. Numerical calculations of dynamos for ABC and related flows; 15. Incompressible Euler equations; 16. On the quasimagnetostrophic asymptotic approximation related to solar activity; 17. Simple dynamical fast dynamos; 18. A numerical study of dynamos in spherical shells with conducting boundaries; 19. Non-axisymmetric shear layers in a rotating spherical shell; 20. Testing for dynamo action; 21. Alpha-quenching in cylindrical magnetoconvection; 22. On the stretching of line elements in fluids: an approach from different geometry; 23. Instabilities of tidally and precessionally induced flows; 24. Probability distribution of passive scalars with nonlinear mean gradient; 25. Magnetic fluctuations in fast dynamos; 26. A statistical description of MHD turbulence in laboratory plasma; 27. Compressible magnetoconvection in three dimensions; 28. The excitation of nonaxisymmetric magnetic fields in galaxies; 29. Localized magnetic fields in a perfectly conducting fluid; 30. Turbulent dynamo and the geomagnetic secular variation; 31. On-off intermittency: general description and feedback model; 32. Dynamo action in a nearly integrable chaotic flow; 33. The dynamo mechanism in the deep convection zone of the sun; 34. Shearing instabilities in magnetoconvection; 35. On the role of rotation of the internal core relative to the mantle; 36. Evolution of magnetic fields in a swirling jet; 37. Analytic fast dynamo solution for a two-dimensional pulsed flow; 38. On magnetic dynamos in thin accretion disks around compact and young stars; 39. The strong field branch of the Childress-Soward dynamo; 40. Evidence for the suppression of the alpha-effect by weak magnetic fields; 41. Turbulent magnetic transport effects and their relation to magnetic field intermittency; 42. Proving the existence of negative variation of electrical conductivity; 43. Spherical inertial oscillation and convection; 44. Hydrodynamics stability of the ABC flow; 45. Dynamos with ambipolar diffusion; Subject index.

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Book SynopsisIn this volume, the author covers the mathematical methods appropriate to both linear-systems theory and signal processing. The text deals with a number of topics usually found in introductory linear-systems courses, such as complex numbers and Laplace transforms, and addresses additional topics such as complex variable theory and Fourier series and transforms. Although the discussion is mathematically self-contained, it assumes that the reader has a firm background in calculus and differential equations. Each chapter contains a number of worked examples plus exercises designed to allow the student to put concepts into practice. The author writes in a mathematically elegant yet relaxed and readable style, and provides interesting historical notes along the way. Undergraduate students of electrical engineering, applied mathematics, and related disciplines - and their teachers - will welcome this book.Trade Review"...well-written and easy to read and should be useful to beginning undergraduates in engineering, particularly electronic engineering." Times Higher Education SupplementTable of ContentsPreface; 1. Complex numbers; 2. Laplace transforms; 3. Linear systems; 4. Fourier series; 5. Functions of a complex variable; 6. Fourier transforms; 7. Laplace transform revisited; Answers to selected exercises; Index.

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Book SynopsisContains a breadth of different quantitative approaches to understanding the patterns of infectious diseases in populations, and the design of control strategies to lessen their effect. Describes research on diseases such as measles, AIDS and tropical parasitic infections. A vital resource for any involved in this hugely important area.Trade ReviewReview of the hardback: '… a valuable reference tool.' Robert Hiorns, Mathematics TodayTable of ContentsPart I. Transmissible Diseases with Long Development Times and Vaccination Strategies; Part II. Dynamics of Immunity (Development of Disease within Individuals); Part III. Population Heterogeneity (Mixing) Modeling; Part IV. Consequences of Treatment Interventions; Part V. Prediction.

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Book SynopsisThis book is an introduction to the study of mathematical models of electrically active cells, which play an essential role in, for example, nerve conduction and cardiac functions. In the book, Dr Cronin synthesizes and reviews this material and provides a detailed discussion of the Hodgkin-Huxley model for nerve conduction, which forms the cornerstone of this body of work.Table of Contents1. Introduction; 2. Nerve conduction: the work of Hodgkin and Huxley; 3. Nerve conduction: other mathematical models; 4. Models of other electrically excitable cells; 5. Mathematical theory; 6. Mathematical analysis of physiological models; Appendix; References.

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Book SynopsisThis book gives a theoretical treatment of the competition between different strains of micro-organisms consuming a single nutrient in a common laboratory device called a chemostat. Mathematical analysis using tools of dynamical systems leads to general and testable predictions of the behaviour of real ecological and biotechnology systems.Trade Review"...a logically ordered and mathematically rigorous explication of the chemostat theory in terms of ODEs...the book can be recommended as a valuable source of reference for students, teachers, and researchers..." D.O. Logofet, Mathematical Reviews"If you work with microbial systems and contend with dynamic and competition phenomena, this book will serve as a good, concise reference for problemas and approaches that are applicable to many fundamental and applied areas...Getting a copy for yourself or in the library would be worthwhile." Michael Domach, Journal of the American Chemical Society"I...enthusiastically recommend this monograph to both scientists and mathematicians planning to do research related to chemostat-like models, for whom I think it will be indispensable." Gail S.K. Wolkowicz, Bulletin of Mathematical Biology"The Theory of Chemostat by Smith and Waltman, two of the leading authorities on the thoery of the chemostat, provides an outstanding introduction to this thoery. Starting from the simplest models of the well-stirred chemostat, they lead the reader from the basic theory, through many of its elaborations, up to the frontiers of current research and many open questions and unsolved problems....This well-written, well-organized book is destined to become a classic in mathematical biology." J.M. Cushing, SIAM ReviewTable of Contents1. The simple chemostat; 2. The general chemostat; 3. Competition on three trophic levels; 4. The chemostat with an inhibitor; 5. The simple gradostat; 6. The general gradostat; 7. The chemostat with periodic washout rate; 8. Variable yield models; 9. A size-structured competition model; 10. New directions; 11. Open questions; Appendix A. Matrices and their eigenvalues; Appendix B. Differential inequalities; Appendix C. Monotone systems; Appendix D. Persistence; Appendix E. Some techniques in nonlinear analysis; Appendix F. A convergence theorem.

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Book SynopsisThis book, based on a successful undergraduate course designed by the author, describes mathematical modelling and its application to the solution of problems in industry and commerce.Table of Contents1. Introduction; 2. The background to mathematical modelling; 3. Mathematical modelling in practice; 4. A course of case studies; 5. Andover Aerospace Components; 6. The Leather Working Machinery Group; 7. British Knitted Garments Group; 8. Gamma Avionics; 9. Fanning Industries; 10. Winchester Aircraft Company; 11. Natural Gas.

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Book SynopsisUnderstanding wind stress (drag) over the ocean is central to many facets of air-sea interaction, which in turn is vital for models of weather prediction and climate modelling. Wind Stress over the Ocean, first published in 2001, brings together thirty of the world's leading experts in air-sea interaction, under the auspices of the Scientific Committee on Oceanic Research. Wind Stress over the Ocean provides a thorough re-examination of the physical processes that transfer momentum between the atmosphere and the ocean. As well as describing the established fundamentals, the book also explores active areas of research and controversy. The book will form a comprehensive guide and reference for researchers and graduate students in physical oceanography, meteorology, fluid dynamics and coastal engineering.Trade ReviewReview of the hardback: '… helpful and handy for people who want timely, authoritative information about the different processes that affect the wind stress over the sea.' EOSReview of the hardback: '… a very useful book … It will be much referenced.' Grant Bigg, WeatherReview of the hardback: ' … this publication is an essential reference text owing to the rapidly changing nature of scientific progress. It will be a general guide and reference document for researchers and graduates in physical oceanography, meteorology, fluid dynamics and coastal engineering. Many who read this book will be inspired to carry out research in those areas which still have many specific problems to be solved.' BulletinTable of ContentsPreface; 1. Overview; Part I: 2. Historical drag expression; 3. Atmospheric and oceanic boundary layer physics; 4. Ocean wave spectra and integral properties; 5. Drag generation mechanisms; 6. Coupling mechanisms; 7. The measurement of surface stress; Part II: 8. The influence of swell on the drag; 9. The influence of unsteadiness; 10. The dependence on wave age; 11. The influence on mesoscale atmospheric processes; 12. Wind, stress and wave directions; 13. The influence of surface tension; 14. The influence of spatial inhomogeneity; 15. Basin boundaries; References; Index.

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Book SynopsisPhyllotaxis, the study of the patterns exhibited by leaves and other organs of plants, raises some of the deepest questions of plant morphogenesis. In this book, first published in 1994, the many facets of phyllotaxis are dealt with in an integrated manner for the first time.Trade Review"...an invaluable guide to the literature. For the beginning student it provides a clear introduction to the known facts, the basic concepts, and the questions to be answered." Irving Adler"...a marvelous little book..." Nature"...Roger Jean presents an overview of these fascinating phenomena and their roots in a new book that should interest biologists, mathematicians and historians of science....Jean untangles this confused web and provides an integrated approach to the description and mathematical study of phyllotactic spirals." Thomas J. Givnish, Science"...The book is written quite clearly with careful definitions and illustrations, a very helpful glossary, and a logical organization of the vast material...Jean has succeeded in the paradoxical task of writin g a book which is simultaneously at the forefront, and therefore useful to researcgers, yet comprehensible to those with little mathematical or botanical background...the study of this classic problem in mathmatical biology, which is so well and thoroughly presented in this book, is of interest to pure and applied mathematicians, physicists, chemists, and engineers--as well as to botanists." Sharon Lubkin, Bulle tin of Mathematical Biology"...provocatively and beautifully written...this book will doubtless become a classic." L.W. Roberts, Choice"...especially well done, with a careful description of the mathematical basis needed to describe phyllotaxic patterns and a large number of examples...an important book for the mathematical biologist or anyone whose research interests involve geometrical aspects of plant structure. It is an excellent primer for description and methods of generation of phyllotaxic patterns...specialists will want to buy the book..." Thomas Herbert, Plant Science BulletinTable of ContentsPrologue; Part I. Pattern Recognition: Introduction; 1. The centric representation; 2. The fundamental theorem and its applications; 3. Hierarchal control in phyllotaxis; 4. Allometry-type model in phyllotaxis; 5. Practical pattern recognition; Epilogue; Part II. Pattern Generation: A Key to the Puzzles: Introduction; 6. An interpretative model; 7. Testing the interpretative model; 8. The interpretative model and whorled patterns; 9. Convergences among models; Epilogue; Part III. Origins of Phyllotactic Patterns: Introduction; 10. Exotic phyllotaxis; 11. Morphogenetical parallelism and autoevolutionism; 12. The challenge redefined; Epilogue; Part IV. Complements: Introduction; Appendices; Bibliography; Indexes.

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Book SynopsisMathematical models are used to explain and study organ biomechanics of the abdominal viscera. Beginning with the fundamentals of thin shell theory, it leads to description of the function of abdominal organs. Finite deformations, effects of boundary conditions, electrodynamics dynamics, related medical conditions and effects of drugs are investigated.Trade Review'Biomedical engineers, gastrointestinal physiologists, medical physicists, and experts in drug discovery will find the insights and comprehensiveness of this mathematical modeling framework to have breakthrough potential … this book introduces a model that explains drug effects, their interactions, and reveals the mechanism for pathophysiological consequences of common disorders.' Michael W. Vannier, University of Chicago Medical Center'This is the first book on the comprehensive modern solid mechanics of the digestive tract. … It will benefit students of later PhD courses and young investigators who are interested in the mechanics of digestive organs.' Takami Yamaguchi, Tohoku University'The book is well written to meet the needs of modern topics on biomechanics of soft shells. … The presentation of material is rich in content, concise and straightforward.' Vladimir Kasyanov, Riga Technical University'It provides a coherent framework for existing but fragmentary experimental and clinical observations, and it will surely lead to advances in pharmaceutical medicine, and ultimately in clinical diagnosis and therapy. … I predict that this will come to be seen as a landmark in this area of biomedicine.' David Wingate, Queen Mary University of LondonTable of ContentsPreface; Notations; Introduction; 1. Geometry of the surface; 2. Parameterization of shells of complex geometry; 3. Nonlinear theory of thin shells; 4. Continuum model of the biological tissue; 5. Boundary conditions; 6. Soft shells; 7. Biomechanics of the stomach; 8. Biomechanics of the small intestine; 9. Biomechanics of the large intestine; 10. Biological applications of mathematical modeling; Index.

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Book SynopsisPacked with worked examples and problems, this book will help the reader improve their confidence and skill in data-handling. The mathematical methods needed for problem-solving are described in the first part of the book, with chapters covering topics such as indices, graphs and logarithms. The following eight chapters explore data-handling in different areas of microbiology and biochemistry including microbial growth, enzymes and radioactivity. Each chapter is fully illustrated with worked examples that provide a step-by-step guide to the solution of the most common problems. Over 30 exercises, ranging in difficulty and length, allow you to practise your skills and are accompanied by a full set of hints and solutions.Trade Review'This is an excellent and most welcome book. It combines a refresher course in mathematics (for those who need it) with a comprehensive range of data-handling problems and worked examples in biochemistry and microbiology - invaluable for both students and tutors.' John R. Guest FRS, University of SheffieldTable of ContentsAcknowledgements; Introduction; Abbreviations and Système International; How important is maths in data-handling?; 1. Numbers and indices; 2. A sense of proportion; 3. Graphs; 4. Algebra; 5. Logarithms; 6. Simple statistics; 7. Preparing solutions and media; 8. Growth in batch cultures; 9. Growth in continuous culture; 10. Enzymes; 11. Spectrophotometry; 12. Energy metabolism; 13. Radioactivity; 14. Microbial genetics; 15. Problems; 16. Advice and hints; 17. Answers; Conclusion; Index.

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Book SynopsisContinuing demand for this book confirms that it remains relevant over 30 years after its first publication. The fundamental explanations are largely unchanged, but in the new introduction to this second edition the authors are on hand to guide the reader through major advances of the last three decades. With an emphasis on physical explanation rather than equations, Part I clearly presents the background mechanics. The second part applies mechanical reasoning to the component parts of the circulation: blood, the heart, the systemic arteries, microcirculation, veins and the pulmonary circulation. Each section demonstrates how an understanding of basic mechanics enhances our understanding of the function of the circulation as a whole. This classic book is of value to students, researchers and practitioners in bioengineering, physiology and human and veterinary medicine, particularly those working in the cardiovascular field, and to engineers and physical scientists with multidisciplinarTrade Review'This splendid book is so well written that one would seriously question the vocation of an investigator who couldn't understand it. It is essential reading for anyone who is interested in the mechanics of the circulation. The normally incomprehensible mechanical laws are explained so clearly that even the non-mathematically minded will have no difficulty, which makes me very sorry that it was not available when I was grappling with these problems.' David Mendel, Journal of the Royal Society of Medicine'Like a good sculpture which leaves no chisel marks on the marble, there are no marks of individual specialization in this book. All is well integrated toward the physiology of circulation. Mathematics is avoided whenever practicable, and mechanics is presented in readily comprehensible terms … After reading the book, one would wonder how circulation physiology can be understood without such a study of mechanics. It cannot! I recommend this book to all physiology teachers and students.' Y. C. Fung, Journal of Biomechanical Engineering'Here is a book on the mechanics of the circulation that is equally accessible to those trained in the life sciences and in the mechanical sciences. Furthermore, it succeeds remarkably in laying down a common foundation of mechanical, anatomical and physiological facts and principles strong enough to support the building-up of major collaborative research structures that can lead to significant new advances in the field.' James Lighthill, Journal of Fluid MechanicsTable of ContentsPreface to the second edition; Preface to the first edition; Part I. Background Mechanics: 1. Particles and continuous materials; 2. Particle mechanics; 3. Units; 4. Basic ideas in fluid mechanics; 5. Flow in pipes and around objects; 6. Dimensional analysis; 7. Solid mechanics and the properties of blood vessel walls; 8. Oscillations and waves; 9. An introduction to mass transfer; Part II. Mechanics of the Circulation: 10. Blood; 11. The heart; 12. The systemic arteries; 13. The systemic microcirculation; 14. The systemic veins; 15. The pulmonary circulation; Index.

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Book SynopsisBeginning with the development of finite difference equations, and leading to the complete FDTD algorithm, this is a coherent introduction to the FDTD method (the method of choice for modeling Maxwell's equations). It provides students and professional engineers with everything they need to know to begin writing FDTD simulations from scratch and to develop a thorough understanding of the inner workings of commercial FDTD software. Stability, numerical dispersion, sources and boundary conditions are all discussed in detail, as are dispersive and anisotropic materials. A comparative introduction of the finite volume and finite element methods is also provided. All concepts are introduced from first principles, so no prior modeling experience is required, and they are made easier to understand through numerous illustrative examples and the inclusion of both intuitive explanations and mathematical derivations.Trade Review'This book is what has been needed to teach in a systematic fashion the theoretical developments and numerical implementations of one of the most powerful numerical techniques in computational electromagnetic[s] with vast applications in a variety of disciplines. The authors have elegantly and masterfully presented the FDTD method from the Maxwell's equations with sufficient rigor to make the book very reachable by students and practising researchers.' Yahya Rahmat-Samii, Distinguished Professor, University of California, Los Angeles'FDTD is presently the method of choice for solving most numerical electromagnetics studies. The Inan and Marshall book is a very thorough, yet readable, account of all the details of the method, very valuable for students and professionals alike, with problems included, ready for a course. Even those who use commercial programs would benefit from a better understanding of dispersion, accuracy, media descriptions, basic limitations and so on, all treated in great detail. I am sure it will be a good reference for a number of years. No special background [is] needed since basic material for a good understanding is given, such as electromagnetics, or numerical solution[s] of differential equations. Highly recommended.' Jørgen Bach Andersen, Professor Emeritus, Aalborg UniversityTable of Contents1. Introduction; 2. Review of electromagnetic theory; 3. Partial differential equations and physical systems; 4. The FDTD grid and the Yee algorithm; 5. Numerical stability of finite difference methods; 6. Numerical dispersion and dissipation; 7. Introduction of sources; 8. Absorbing boundary conditions; 9. The perfectly matched layer; 10. FDTD modeling in dispersive media; 11. FDTD modeling in anistropic media; 12. Some advanced topics; 13. Unconditionally stable implicit FDTD methods; 14. Finite-difference frequency domain; 15. Finite volume and finite element methods.

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Book SynopsisThis guide to solving numerical problems in the biological sciences is packed with worked examples to guide the reader through the most common calculations. It includes explanations of the necessary simple mathematical methods and a lengthy series of related exercises with an accompanying set of hints and full solutions.Trade Review'This is an excellent and most welcome book. It combines a refresher course in mathematics (for those who need it) with a comprehensive range of data-handling problems and worked examples in biochemistry and microbiology - invaluable for both students and tutors.' John R. Guest FRS, University of SheffieldTable of ContentsAcknowledgements; Introduction; Abbreviations and Système International; How important is maths in data-handling?; 1. Numbers and indices; 2. A sense of proportion; 3. Graphs; 4. Algebra; 5. Logarithms; 6. Simple statistics; 7. Preparing solutions and media; 8. Growth in batch cultures; 9. Growth in continuous culture; 10. Enzymes; 11. Spectrophotometry; 12. Energy metabolism; 13. Radioactivity; 14. Microbial genetics; 15. Problems; 16. Advice and hints; 17. Answers; Conclusion; Index.

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Book SynopsisThis is a concise and elementary introduction to stochastic control and mathematical modelling. This book is designed for researchers in stochastic control theory studying its application in mathematical economics and those in economics who are interested in mathematical theory in control. It is also a good guide for graduate students studying applied mathematics, mathematical economics, and non-linear PDE theory. Contents include the basics of analysis and probability, the theory of stochastic differential equations, variational problems, problems in optimal consumption and in optimal stopping, optimal pollution control, and solving the Hamilton-Jacobi-Bellman (HJB) equation with boundary conditions. Major mathematical prerequisites are contained in the preliminary chapters or in the appendix so that readers can proceed without referring to other materials.Trade Review"This book provides an excellent introduction to controlled diffusions and their economic applications and it is self-contained..." Vivek S. Borkar, Mathematical Reviews"As the title indicates, the author’s presentation is clearly focussed on economics and provides neither exercises nor questions for further investigation. However, the chapters should allow the reader to identify future research areas. As such the text has much to commend it and the time taken to understand the material presented will reap benefits. For those interested in theoretical expositions, this is a text that I can recommend." Carl M. O’Brien, International Statistical ReviewTable of ContentsPart I. Stochastic Calculus and Optimal Control Theory: 1. Foundations of stochastic calculus; 2. Stochastic differential equations: weak formulation; 3. Dynamic programming; 4. Viscosity solutions of Hamilton-Jacobi-Bellman equations; 5. Classical solutions of Hamilton-Jacobi-Bellman equations; Part II. Applications to Mathematical Models in Economics: 6. Production planning and inventory; 7. Optimal consumption/investment models; 8. Optimal exploitation of renewable resources; 9. Optimal consumption models in economic growth; 10. Optimal pollution control with long-run average criteria; 11. Optimal stopping problems; 12. Investment and exit decisions; Part III. Appendices: A. Dini's theorem; B. The Stone-Weierstrass theorem; C. The Riesz representation theorem; D. Rademacher's theorem; E. Vitali's covering theorem; F. The area formula; G. The Brouwer fixed point theorem; H. The Ascoli-Arzela theorem.

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Book SynopsisThis book provides a clear and concise summary of the fluid dynamics of the locomotion of living organisms. The biological phenomena described in detail range from the swimming of bacteria and fish to the flying of insects and birds. The breadth of treatment requires the study of two basic fluid-dynamical regimes. In the first case, that of small organisms, the viscosity of the fluid is paramount in deciding the most effective swimming strategy. However, for larger insects, birds, and most fish, the viscosity of the air or water may be treated as if it were zero, and resulting mechanisms of propulsion are very different. Both these types are studied, with emphasis on the unsteady character of natural movements. Written for the advanced student, this volume assumes familiarity with basic fluid mechanics, although some elementary topics are included. It will be readily accessible to students of applied mathematics and biologists who have engineering or physics backgrounds.Table of ContentsPreface; 1. General considerations; 2. The Stokesian realm; 3. Swimming of a sheet; 4. The biology of low-Reynolds-number locomotion; 5. Resistive-force theory of flagellar propulsion; 6. Analysis of the flagellum; 7. Ciliary propulsion; 8. The Eulerian realm: the inertial force; 9. The Eulerian realm: the vortex force; 10. The swimming of fish; 11. Some aspects of the aerodynamics of birds and insects; 12. Interactions; References; Index.

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Book SynopsisIn this volume, the author covers the mathematical methods appropriate to both linear-systems theory and signal processing. The text deals with a number of topics usually found in introductory linear-systems courses, such as complex numbers and Laplace transforms, and addresses additional topics such as complex variable theory and Fourier series and transforms.Trade Review"...well-written and easy to read and should be useful to beginning undergraduates in engineering, particularly electronic engineering." Times Higher Education SupplementTable of ContentsPreface; 1. Complex numbers; 2. Laplace transforms; 3. Linear systems; 4. Fourier series; 5. Functions of a complex variable; 6. Fourier transforms; 7. Laplace transform revisited; Answers to selected exercises; Index.

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Book SynopsisThis book is an introduction to the study of mathematical models of electrically active cells, which play an essential role in, for example, nerve conduction and cardiac functions. This is an important and vigorously researched field. In the book, Dr Cronin synthesizes and reviews this material and provides a detailed discussion of the Hodgkin-Huxley model for nerve conduction, which forms the cornerstone of this body of work. Her treatment includes a derivation of the Hodgkin-Huxley model, which is a system of four nonlinear differential equations; a discussion of the validity of this model; and a summary of some of the mathematical analysis carried out on this model. Special emphasis is placed on singular perturbation theory, and arguments, both mathematical and physiological, for using the perturbation viewpoint are presented.Table of Contents1. Introduction; 2. Nerve conduction: the work of Hodgkin and Huxley; 3. Nerve conduction: other mathematical models; 4. Models of other electrically excitable cells; 5. Mathematical theory; 6. Mathematical analysis of physiological models; Appendix; References.

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Book SynopsisAn introduction to the field of efficient parallel algorithms and to the techniques for efficient parallelization. It is self-contained and presumes no special knowledge of parallel computers or particular mathematics.Trade Review"...a coherent introduction for all those who wish to enter this new field of research....a valuable contribution to the expository literature and will certainly become a favoured introduction to the field of parallel algorithms." Mathematical Reviews"Highly recommended." Choice"...a successful introduction to the area of parallel algorithms and to methods for parallelisation." N. I. Yanev, Mathematical ReviewsTable of ContentsPreface; 1. Introduction; 2. Graph algorithms; 3. Expression evaluation; 4. Parallel recognition and parsing of context-free languages; 5. Fast parallel sorting; 6. Parallel string matching; 7. P-completeness: hardly parallelisable problems; Index.

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Book SynopsisThis book covers the physical side of colloid science from the individual forces acting between particles smaller than a micrometer that are suspended in a liquid, through the resulting equilibrium and dynamic properties. A variety of internal forces both attractive and repulsive act in conjunction with Brownian motion and the balance between them all decides the questions of stability and phase behavior.Trade Review'Many readers, in particular theoreticians, will find it quite useful in developing a clear understanding of the advanced theory of colloidal systems and how it is related to experiment…[an] excellent but advanced book.' Journal of Non-Newtonian Fluid Mechanics'Colloidal Dispersions clearly sets a high standard for the teaching and understanding of colloid science in terms of relating microstructure to macroscopic behavior. There is no question that it is a necessary reference for anyone seriously interested in colloid science.' LangmuirTable of ContentsSurvey of colloidal dispersion; Hydrodynamics; Brownian motion; Electrostatics; Dispersion forces; Forces due to a soluble polymer; Electrokinetic phenomena; Polymeric stabilization; Equilibrium phase behaviour; Particle capture; Sedimentation; Diffusion; Rheology.

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Book SynopsisThe use of geometric methods in classical mechanics has proven to be a fruitful exercise, with the results being of wide application to physics and engineering. Here Professor Marsden concentrates on these geometric aspects, and especially on symmetry techniques. The main points he covers are: the stability of relative equilibria, which is analyzed using the block diagonalization technique; geometric phases, studied using the reduction and reconstruction technique; and bifurcation of relative equilibria and chaos in mechanical systems. A unifying theme for these points is provided by reduction theory, the associated mechanical connection and techniques from dynamical systems. These methods can be applied to many control and stabilization situations, and this is illustrated using rigid bodies with internal rotors, and the use of geometric phases in mechanical systems. To illustrate the above ideas and the power of geometric arguments, the author studies a variety of specific systems, inTrade Review"...centres around symmetry and symplectic quotients. Many examples are given illustrating the utility and relevance of symplectic quotients....readable and stimulating." Michael Atiyah, Bulletin of the American Mathematical Society"...The virtue [of this book] is in the breadth, relevance, and complexity of the examples treated..." Mathematical ReviewsTable of Contents1. Introduction; 2. A crash course in geometric mechanics; 3. Cotangent bundle reduction; 4. Relative equilibria; 5. The energy-momentum method; 6. Geometric phases; 7. Stabilization and control; 8. Discrete reduction; 9. Mechanical integrators; 10. Hamiltonian bifurcations; References.

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Book SynopsisAny student wishing to solve problems via mathematical modelling will find that this book provides an excellent introduction to the subject.Trade Review"...highly recommended...a demanding text; the exercises are excellent and challenging, and some are at the level of research problems. Applied mathematicians, engineers, and scientists will appreciate this book." G.J.F. Junevicus, Choice"If you are looking for a textbook for an introdutory course on mathematical modeling, with an emphasis on differential and difference equations and basic calculus as the only prerequisite, then give this book serious consideration. It is very well written and very well structured.... overall presentation of material is excellent.... an excellent reference for anyone who has an interest in mathematical modeling....The foundation that this text helps to build will easily allow the reader to move on to more advanced texts on mathematical modeling." The UMAP JournalTable of ContentsPreface; Introduction to the student; Part I. Simple Models In Mechanics: 1. Newtonian mechanics; 2. Kinematics on a line; 3. Ropes and pulleys; 4. Friction; 5. Differential equations: linearity and SHM; 6. Springs and oscillations; Part II. Models with Difference Equations: 7. Difference equations; 8. Linear difference equations in finance and economics; 9. Non-linear difference equations and population growth; 10. Models for population genetics; Part III. Models with Differential Equations: 11. Continuous growth and decay models; 12. Modelling heat flow; 13. Compartment models of mixing; Part IV. Further Mechanics: 14. Motion in a fluid medium; 15. Damped and forced oscillations; 16. Motion in a plane; 17. Motion in a circle; Part V. Coupled Models: 18. Models with linear interactions; 19. Non-linear coupled models; References; Index.

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Book SynopsisThis volume develops a unifying approach to population studies, emphasising the interplay between modelling and experimentation. Throughout, mathematicians and biologists are provided with a framework within which population dynamics can be fully explored and understood. Aspects of population dynamics covered include birth-death and logistic processes, competition and predator-prey relationships, chaos, reaction time-delays, fluctuating environments, spatial systems, velocities of spread, epidemics, and spatial branching structures. Both deterministic and stochastic models are considered. Whilst the more theoretically orientated sections will appeal to mathematical biologists, the material is presented so that readers with little mathematical expertise can bypass these without losing the main flow of the text.Trade Review"...an excellent introduction to the world of deterministic and stochastic models for population growth, both for students of applied mathematics and statistics at the undergraduate and postgraduate level and for advanced students of theoretical biology." Andris Abakuks, Mathematical Reviews"An excellent reference for the class of mathematical models that it considers....The quality of the book is high....As an applied statistician with an interest--and some background--in the models discussed, I found the book easy to read, extremely useful, and its perspective sensible. It is well worth its price." Judy Zeh, Journal of the American Statistical AssociationTable of ContentsPreface; A list of symbols and notation; 1. Introductory remarks; 2. Simple birth-death processes; 3. General birth-death processes; 4. Time-lag models of population growth; 5. Competition processes; 6. Predator-prey processes; 7. Spatial predator-prey systems; 8. Fluctuating environments; 9. Spatial population dynamics; 10. Epidemic processes; 11. Linear and branching architectures; References; Author index; Subject index.

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Book SynopsisDynamo theory is the study of how large-scale magnetic fields can arise in bodies such as the Earth, Sun and stars, and it brings together researchers in such diverse subjects as geophysics, astronomy and nuclear reactor technology. In this book are papers on the theory of dynamos, delivered at the Isaac Newton Institute for Mathematical Sciences in Cambridge in September 1992, and these have been carefully brought together to form a unified presentation. Topics covered include: modelling of solar magnetic field generation, theoretical studies of the galaxies, and papers on 'fast dynamos', study of magnetic field regeneration in fluid of very high electrical conductivity. This volume represents a comprehensive record of research into the theory of dynamos.Trade Review"...a valuable reference on the overall state of the subject, as well as on current concerns and who is actively contributing." Peter Gilman, ScienceTable of ContentsPreface; 1. Magnetic noise and the galactic dynamo; 2. On the oscillation in model Z; 3. Nonlinear dynamos in a spherical shell; 4. The onset of dynamo action in alpha-lambda dynamos; 5. Multifractality, near-singularities and the role of stretching in turbulence; 6. Note on perfect fast dynamo action in a large-amplitude SFS map; 7. A thermally driven disc dynamo; 8. Magnetic instabilities in rapidly rotating systems; 9. Modes of a flux ring lying in the equator of a star; 10. A nonaxisymmetric dynamo in toroidal geometry; 11. Simulating the interaction of convection with magnetic fields in the sun; 12. Experimental aspects of a laboratory scale liquid sodium dynamo model; 13. Influence of the period of an ABC flow on its dynamo action; 14. Numerical calculations of dynamos for ABC and related flows; 15. Incompressible Euler equations; 16. On the quasimagnetostrophic asymptotic approximation related to solar activity; 17. Simple dynamical fast dynamos; 18. A numerical study of dynamos in spherical shells with conducting boundaries; 19. Non-axisymmetric shear layers in a rotating spherical shell; 20. Testing for dynamo action; 21. Alpha-quenching in cylindrical magnetoconvection; 22. On the stretching of line elements in fluids: an approach from different geometry; 23. Instabilities of tidally and precessionally induced flows; 24. Probability distribution of passive scalars with nonlinear mean gradient; 25. Magnetic fluctuations in fast dynamos; 26. A statistical description of MHD turbulence in laboratory plasma; 27. Compressible magnetoconvection in three dimensions; 28. The excitation of nonaxisymmetric magnetic fields in galaxies; 29. Localized magnetic fields in a perfectly conducting fluid; 30. Turbulent dynamo and the geomagnetic secular variation; 31. On-off intermittency: general description and feedback model; 32. Dynamo action in a nearly integrable chaotic flow; 33. The dynamo mechanism in the deep convection zone of the sun; 34. Shearing instabilities in magnetoconvection; 35. On the role of rotation of the internal core relative to the mantle; 36. Evolution of magnetic fields in a swirling jet; 37. Analytic fast dynamo solution for a two-dimensional pulsed flow; 38. On magnetic dynamos in thin accretion disks around compact and young stars; 39. The strong field branch of the Childress-Soward dynamo; 40. Evidence for the suppression of the alpha-effect by weak magnetic fields; 41. Turbulent magnetic transport effects and their relation to magnetic field intermittency; 42. Proving the existence of negative variation of electrical conductivity; 43. Spherical inertial oscillation and convection; 44. Hydrodynamics stability of the ABC flow; 45. Dynamos with ambipolar diffusion; Subject index.

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Book SynopsisThe populations of many species of animals and plants are age-structured, i.e. the individuals present at any one time were born over a range of different times, and their fertility and survival depend on age. The properties of such populations are important for interpreting experiments and observations on the genetics of populations for animal and plant breeding, and for understanding the evolution of features of life-histories such as senescence and time of reproduction. In this new edition Brian Charlesworth provides a comprehensive review of the basic mathematical theory of the demography and genetics of age-structured populations. The mathematical level of the book is such that it will be accessible to anyone with a knowledge of basic calculus and linear algebra.Trade Review"... an important book which can be recommended to anyone with an interest in population genetics and evolutionary biology." Nature"...classic....will stimulate future study." ChoiceTable of ContentsPreface to first edition; Preface to second edition; 1. Models of age-structured populations; 2. The genetics of populations without selection; 3. Selection: construction of a model and the properties of equilibrium populations; 4. Selection: dynamic aspects; 5. The evolution of life-histories; References; Author index; Subject index.

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Book SynopsisPresents a thorough grounding in the techniques of mathematical modelling, and proceeds to explore a range of classical and continuum models from an array of disciplines.Trade Review'The presented case studies are almost self-contained and span an incredible breadth of applied science and engineering … a must for university libraries … I would … recommend the book to anyone who is excited by the power of mathematics in describing the word. It might even become a classic of the genre.' John McCloskey, The Times Higher Education Supplement'This volume will broaden the horizons of all professional applied mathematics.' C. Isenberg, Contemporary Physics'Fowler's book is an outstanding contribution to the graduate textbook literature. Reading portions of Fowler's book will give a student a good idea about what applied mathematics really is …' Society for Industrial and Applied mathematicsTable of ContentsPart I. Introduction: 1. Mathematical modelling; Part II. Methods: 2. Non-dimensionalisation; 3. Asymptotics; 4. Perturbation methods; Part III. Classical Models: 5. Heat transfer; 6. Viscous flow; 7. Solid mechanics; 8. Electromagnetism; Part IV. Continuum Models: 9. Enzyme kinetics; 10. The Belousov-Zhabotinskii reaction; 11. Spruce budworm infestations; 12. Chemical reactors; 13. Groundwater flow; 14. Convection in a porous medium; 15. River flow; 16. One-dimensional two-phase flow; Part V. Advanced Models: 17. Alloy solidification; 18. Ice sheet dynamics; 19. Chemosensory respiratory control; 20. Frost heave in freezing soils; References.

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Book SynopsisDynamo theory, the study of the generation and maintenance of magnetic fields by fluid motions, is important in many areas of physics, ranging from stellar and galactic dynamics, through solar physics and geomagnetism, to reactor physics. This volume contains the lectures given by leading specialists, for an intensive course held at the Newton Institute, as part of a NATO Advanced Study Institute. The course was intended for beginning graduate students, so starts with background material, before leading on to describe areas closer to current research. Topics covered include planetary and solar dynamos, fast dynamos and the use of symmetry principles to derive evolution equations. Detailed bibliographies are provided. As the only modern introduction to the subject, this will be welcome reading for students in planetary and solar physics, plasma physics and astrophysics.Trade Review'These lectures give a state-of-the-art description of modern dynamo theory, with complete references on each topic covered … deserves a much wider audience than dynamo specialists … an excellent overview of our current state of knowledge' Physics WorldTable of ContentsIntroduction; 1. Fundamentals of dynamo theory P. H. Roberts; 2. Solar and stellar dynamics N. O. Weiss; 3. Convection and magnetoconvection in a rapidly rotating sphere M. R. E. Proctor; 4. Solar dynamos: computational background A. Brandenburg; 5. Energy sources for planetary dynamos W. V. R. Malkus; 6. Fast dynamos A. M. Soward; 7. Non-linear planetary dynamos D. R. Fearn; 8. The chaotic solar cycle E. A. Spiegel; 9. The non-linear dynamo and Model-Z S. I. Braginsky; 10. Maps and dynamos B. J. Bayly; 11. Bifurcations in rotating systems E. Knobloch; Index.

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Book SynopsisThe book gives a comprehensive and lucid account of the science of the atmospheric boundary layer (ABL). There is an emphasis on the application of the ABL to numerical modelling of the climate. The book comprises nine chapters, several appendices (data tables, information sources, physical constants) and an extensive reference list. Chapter 1 serves as an introduction, with chapters 2 and 3 dealing with the development of mean and turbulence equations, and the many scaling laws and theories that are the cornerstone of any serious ABL treatment. Modelling of the ABL is crucially dependent for its realism on the surface boundary conditions, and chapters 4 and 5 deal with aerodynamic and energy considerations, with attention to both dry and wet land surfaces and sea. The structure of the clear-sky, thermally stratified ABL is treated in chapter 6, including the convective and stable cases over homogeneous land, the marine ABL and the internal boundary layer at the coastline. Chapter 7 thTrade Review'An excellent review of the current state of affairs on boundary-layer meteorology research.' Bulletin of the American Meteorological Society.'I find that it compares favourably to good texts that have appeared recently; I strongly recommend it as a synthesis of present thinking on physical processes in the atmospheric boundary layer.' Waves in Random Media.Table of Contents1. The atmospheric boundary layer; 2. Basic equations for mean and fluctuating quantites; 3. Scaling laws for mean and turbulent quantites; 4. Surface roughness and local advection; 5. Energy fluxes at the land surface; 6. The thermally stratified ABL; 7. The cloud topped boundary layer; 8. ABL modelling and parameterisation schemes; 9. The impact of the ABL on climate.

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Book SynopsisThis book gives a theoretical treatment of the competition between different strains of micro-organisms consuming a single nutrient in a common laboratory device called a chemostat. Mathematical analysis using tools of dynamical systems leads to general and testable predictions of the behaviour of real ecological and biotechnology systems.Trade Review"...a logically ordered and mathematically rigorous explication of the chemostat theory in terms of ODEs...the book can be recommended as a valuable source of reference for students, teachers, and researchers..." D.O. Logofet, Mathematical Reviews"If you work with microbial systems and contend with dynamic and competition phenomena, this book will serve as a good, concise reference for problemas and approaches that are applicable to many fundamental and applied areas...Getting a copy for yourself or in the library would be worthwhile." Michael Domach, Journal of the American Chemical Society"I...enthusiastically recommend this monograph to both scientists and mathematicians planning to do research related to chemostat-like models, for whom I think it will be indispensable." Gail S.K. Wolkowicz, Bulletin of Mathematical Biology"The Theory of Chemostat by Smith and Waltman, two of the leading authorities on the thoery of the chemostat, provides an outstanding introduction to this thoery. Starting from the simplest models of the well-stirred chemostat, they lead the reader from the basic theory, through many of its elaborations, up to the frontiers of current research and many open questions and unsolved problems....This well-written, well-organized book is destined to become a classic in mathematical biology." J.M. Cushing, SIAM ReviewTable of Contents1. The simple chemostat; 2. The general chemostat; 3. Competition on three trophic levels; 4. The chemostat with an inhibitor; 5. The simple gradostat; 6. The general gradostat; 7. The chemostat with periodic washout rate; 8. Variable yield models; 9. A size-structured competition model; 10. New directions; 11. Open questions; Appendix A. Matrices and their eigenvalues; Appendix B. Differential inequalities; Appendix C. Monotone systems; Appendix D. Persistence; Appendix E. Some techniques in nonlinear analysis; Appendix F. A convergence theorem.

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Book SynopsisFor many applications a randomized algorithm is either the simplest algorithm available, or the fastest, or both. This tutorial presents the basic concepts in the design and analysis of randomized algorithms. The first part of the book presents tools from probability theory and probabilistic analysis that are recurrent in algorithmic applications. Algorithmic examples are given to illustrate the use of each tool in a concrete setting. In the second part of the book, each of the seven chapters focuses on one important area of application of randomized algorithms: data structures; geometric algorithms; graph algorithms; number theory; enumeration; parallel algorithms; and on-line algorithms. A comprehensive and representative selection of the algorithms in these areas is also given. This book should prove invaluable as a reference for researchers and professional programmers, as well as for students.Trade Review'The techniques described by Rajeev Motwani and Prabhaker Raghavan are wide-ranging and powerful, so this book is an important one. As far as I have been able to find out this is the only book on the entire subject … this excellent volume does us proud!' American Scientist'This book can serve as an excellent basis for a graduate course. It is highly recommended for students and researchers who wish to deepen their knowledge of the subject. Finally, I believe that the book, with its vast coverage, will be an invaluable source for active researchers in the field.' Y. Aumann, Computing ReviewsTable of ContentsPart I. Tools and Techniques: 1. Introduction; 2. Game-theoretic techniques; 3. Moments and deviations; 4. Tail inequalities; 5. The probabilistic method; 6. Markov chains and random walks; 7. Algebraic techniques; Part II. Applications: 8. Data structures; 9. Geometric algorithms and linear programming; 10. Graph algorithms; 11. Approximate counting; 12. Parallel and distributed algorithms; 13. Online algorithms; 14. Number theory and algebra; Appendix A: notational index; Appendix B: mathematical background; Appendix C: basic probability theory.

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Book SynopsisThis introductory textbook on mathematical biology focuses on discrete models across a variety of biological subdisciplines. Biological topics treated include linear and non-linear models of populations, Markov models of molecular evolution, phylogenetic tree construction, genetics, and infectious disease models. The coverage of models of molecular evolution and phylogenetic tree construction from DNA sequence data is unique among books at this level. Computer investigations with MATLAB are incorporated throughout, in both exercises and more extensive projects, to give readers hands-on experience with the mathematical models developed. MATLAB programs accompany the text. Mathematical tools, such as matrix algebra, eigenvector analysis, and basic probability, are motivated by biological models and given self-contained developments, so that mathematical prerequisites are minimal.Trade Review'… many institutions, like mine, are looking into ways of adding a mathematical modeling component into the undergraduate curriculum for general biology students. This book will be a great asset to these institutions … a very interesting and challenging book for undergraduate students with a strong interest in biology …'. Mei Zhu, Pacific Lutheran University'I found this book interesting since many institutions, like mine, are looking into ways of adding a mathematical modeling component into the undergraduate curriculum for general biology students. This book will be a great asset to these institutions … Overall, this is a very interesting and challenging book for undergraduate students with a strong interest in biology, but not necessarily with a calculus background. Students with a strong mathematical background will also benefit from this book … This book is also a good reference book for biologists who are interested in learning mathematical modeling or integrating it into teaching their undergraduate biology courses.' Mei Zhu, Pacific Lutheran University'… eminently suitable for their target undergraduate audiences and, indeed, for anyone curious to learn more about this increasingly important and undeniably exciting area of applied mathematics.' The Mathematical Gazette'… an attractive introduction to the modeling of biological processes at a very elementary level.' Zentralblatt MATH'This is an attractive introduction into the modelling of biological processes at a very elementary level. … Many exercises motivate the reader to acquire a deeper understanding of the topics treated. Also a substantial number of MATLAB projects are suggested to give the students hands-on experience.' Monatshefte für MathematikTable of Contents1. Dynamic modeling with different equations; 2. Linear models of structured populations; 3. Non-linear models of interactions; 4. Modeling molecular evolution; 5. Constructing phylogenic trees; 6. Genetics; 7. Infectious disease modeling; 8. Curve fitting and biological modeling; Appendix A. Basic analysis of numerical data; Appendix B. For further reading.

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Book SynopsisStudents of evolutionary and behavioural ecology are often unfamiliar with mathematical techniques, though much of biology relies on mathematics. Evolutionary ideas are often complex, meaning that the logic of hypotheses proposed should not only be tested empirically but also mathematically. There are numerous different modelling tools used by ecologists, ranging from population genetic 'bookkeeping', to game theory and individual-based computer simulations. Due to the many different modelling options available, it is often difficult to know where to start. Hanna Kokko has designed this 2007 book to help with these decisions. Each method described is illustrated with one or two biologically interesting examples that have been chosen to help overcome fears of many biologists when faced with mathematical work, whilst also providing the programming code (Matlab) for each problem. Aimed primarily at students of evolutionary and behavioural ecology, this book will be of interest to any biolTrade Review'I really enjoyed this book and I strongly recommend it to modellers and non-modellers alike. ... engaging and ... punctuated with interesting illustrations, anecdotes and other diversions. This book has challenged my own modelling philosophy and I have already learnt a lot from it.' Bulletin of the British Ecological Society'Written in a truly friendly style…' Zentralblatt MATH'… easy and entertaining reading … Topics are presented in a way that painlessly informs the reader on the basic biology underlying the mathematical model being developed, and not too painfully describes how to construct and evaluate the model … The writing style is informal and actually quite entertaining, thus rendering the mathematics much more palatable than they might otherwise be … The informal but concise writing … kept me interested, which is not necessarily easy to do for a book on mathematical modeling. Overall, I enjoyed the book very much and recommend that others take a look.' American EntomologistTable of ContentsPreface; 1. Modelling philosophy, where we get momentarily lost in a forest, but emerge intact; 2. Population genetics, where we find males that treat females quite badly, and some salmon get caught; 3. Quantitative genetics, where we learn to handle a bewildering number of loci, after which a whiff of predators does not scare us at all; 4. Optimization methods, where spiders get quite exhausted, and the author confesses an embarrassing mistake from the distant past; 5. Dynamic optimization, where we travel north, and learn how to survive the winter; 6. Game theory, where we get caught in a traffic jam, and end up wondering where all those trees came from; 7. Self-consistent games and evolutionary invasion analysis where winter is approaching once again, and we wonder if the promise of the coming spring should convince us to stay put; 8. Individual-based simulations, where virtual butterflies try to fly out of our reach, until ruthless exploitation of student labour finally captures them; 9. Concluding remarks, where we ask which chapter you liked most (or disliked least), and end the book with a most useful quote; Appendix: a quick guide to Matlab.

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Book SynopsisThe goals of this book are twofold: first to present a coherent and systematic treatment of the foundations; secondly to present algorithmic solutions to problems that are simple to state but which nevertheless are applicable in practical situations. The prerequisites for using the book are few, which will make it ideal for teaching advanced courses in computational geometry.Trade Review'The book is well written … covers a wealth of material, is copiously illustrated, and has a comprehensive bibliography. Especially in view of its modest price, the book would be a welcome addition to the shelves of anyone interested in algorithmic geometry.' Peter McMullen, Bull. London Mathematical SocietyTable of ContentsPreface; Part I. Algorithmic Tools: 1. Notions of complexity; 2. Basic data structures; 3. Deterministic methods used in geometry; 4. Random sampling; 5. Randomized algorithms; 6. Dynamic randomized algorithms; Part II. Convex Hulls: 7. Polytopes; 8. Incremental convex hulls; 9. Convex hulls in 2 and 3 dimensions; 10. Linear programming; Part III. Triangulations: 11. Complexes and triangulations; 12 Triangulations in dimension 2; 13. Triangulations in dimension 3; Part IV. Arrangements: 14. Arrangements of hyperplanes; 15. Arrangements of line segments in the plane; 16. Arrangements of triangles; Part V. Voronoi Diagrams: 17. Euclidean metrics; 18. Non-Euclidean metrics; 19. Diagrams in the plane; References; Notation; Index.

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Book SynopsisThis is an up-to-date textbook of model theory taking the reader from first definitions to Morley's theorem and the elementary parts of stability theory.Trade Review'… up-to-date … can serve as an introduction to applications of model theory in computer science.' L'Enseignement Mathématique' … a very readable introduction to the subject.' Mathematika'This book contains rich material for a good introductory course in model theory …' European Mathematical Society'I have talked with students who first learned about model theory from this text, and overall it served them well. From his impressive work of 1993, Hodges has distilled an accessible introductory account. In doing so he has provided a valuable resource for a first study of model theory.' Carol Wood, International Journal of Symbolic LogicTable of Contents1. Naming of parts; 2. Classifying structures; 3. Structures that look alike; 4. Interpretations; 5. The first order case: compactness; 6. The countable case; 7. The existential case; 8. Saturation; 9. Structure and categoricity.

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Book SynopsisDescribes signal processing aspects of neural networks and their applications. This is an excellent text for advanced undergraduates and graduates in the physical sciences, mathematics, engineering, medicine and life sciences.Trade Review"The author undoubtedly has a strong and thorough knowledge of both mathematics and neurosciences which allows him to put the reader on what he calls 'the launching point'...an excellent door that opens the researcher to further exploration of the mysteries of the brain. I conclude this review by repeating what is at the end of this very well written book: 'Mathematics is needed to understand how the brain works.'" Catherine Garcia-Reimbert"...a brief and nice introduction to the mathematical methods and models used in the theory of neural networks and their applications." Monatshefte fur MathematikTable of ContentsPreface; 1. Some useful electrical circuits; 2. A theory of simple clocks; 3. Some mathematical models of neurons; 4. Signal processing in phase-locked systems; 5. Small physiological control networks; 6. Memory, phase change, and synchronization; 7. Attention and other brain phenomena; Appendices; References; Index.

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Book SynopsisThis book develops econometric techniques for the estimation of production, cost and profit frontiers, and for the estimation of the technical and economic efficiency with which producers approach these frontiers.Trade Review'Stochastic Frontier Analysis is an excellent, up-to-date and complete summary of both the theory and techniques used in frontier production, cost and profit analysis. The authors are two of the leading researchers in the field. Students and practitioners in this area will find this book to be the only reference source they need.' William H. Greene, Stern School of Business, New York University'Every so often a book is written that pulls together a large subject matter in an accessible way, covering both theoretical and applied developments. This is such a book. The contribution of this volume is that this large but complex literature is presented in a manner accessible to the general applied economist. It is must reading for anyone who measures firm production, cost functions, or profit functions. Those measuring productivity change will gain new enlightenment on how to better approach this important measurement problem. Furthermore, the book could be used as a text or supplementary text in an advanced course in production, productivity change, or econometrics. It is well worth the investment and will make a valuable and useful addition to one's library.' James L. Searle, Jr, Journal of Economic Literature'This book is well written, comprehensive in its breadth and depth of coverage, and authoritative in its scholarship. It is certainly going to be the standard reference on stochastic frontier models for the foreseeable future.' Peter Schmidt, The Economic Journal'This is the best book that exists on the topic of stochastic-frontier analysis. It is clearly an excellent book that concisely reports the state of the art of this approach to efficiency analysis. This is a well-written reference book for researchers in this field and for research students considering using stochastic-frontier analysis. Libraries should carry a copy. As the first book devoted exclusively to this topic, the authors have set a very high standard.' Kevin J. Fox, EconomicaFrom the hardback: 'Stochastic Frontier Analysis is a complete textbook on stochastic frontier models. It deals with stochastic frontier production, cost and profit functions. Models for cross-sectional and panel data are presented and discussed. The analysis of technical change and inefficiency change with panel data is also discussed in detail. The authors are highly qualified to produce such a comprehensive book on stochastic frontiers. Lovell was one of the authors of the seminal paper on the stochastic frontier production function model. He has been undertaking research on many aspects of parametric and non-parametric frontier modelling and efficiency measurement for over twenty-five years. He is a 'pioneer' in this important research area. Kumbhakar has written outstanding papers on stochastic frontier models, both of a theoretical and applied nature, over the last 12 or more years. It will surely be a helpful and widely-cited book for researchers in the field.' George E. Battese, University of New England, Australia'Stochastic Frontier Analysis is an excellent, up-to-date and complete summary of both the theory and techniques used in frontier production, cost and profit analysis. The authors are two of the leading researchers in the field. Students and practitioners in this area will find this book to be the only reference source they need.' William H. Greene, Stern School of Business, New York University'It is fascinating to see what has been accomplished in the field of stochastic frontier analysis since its beginning in 1977. The authors provide a luvidly written review of all the developments that have taken place in the past quarter of a century. Although hardly any publication has escaped their attention, Kumbhakar and Lovell succeed in keeping the reader focused on the grand lines of research. Well-rooted in recent history, this book will stimulate further research into measurement and explanation of efficiency and productivity (change). I expect this book to be at hand for a long time.' Bert M. Balk, Statistics NetherlandsTable of Contents1. Introduction; 2. Analytical foundations; 3. The estimation of technical efficiency; 4. The estimation and decomposition of cost efficiency; 5. The estimation and decomposition of profit efficiency; 6. The shadow price approach to the estimation and decomposition of economic efficiency; 7. Incorporating exogenous influences on efficiency; 8. The estimation of efficiency change and productivity change.

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Book SynopsisThe world around us, natural or man-made, is built and held together by solid materials. Understanding their behaviour is the task of solid mechanics, which is in turn applied to many areas, from earthquake mechanics to industry, construction to biomechanics. The variety of materials (metals, rocks, glasses, sand, flesh and bone) and their properties (porosity, viscosity, elasticity, plasticity) is reflected by the concepts and techniques needed to understand them: a rich mixture of mathematics, physics and experiment. These are all combined in this unique book, based on years of experience in research and teaching. Starting from the simplest situations, models of increasing sophistication are derived and applied. The emphasis is on problem-solving and building intuition, rather than a technical presentation of theory. The text is complemented by over 100 carefully-chosen exercises, making this an ideal companion for students taking advanced courses, or those undertaking research in thTable of ContentsList of illustrations; Prologue; 1. Modelling solids; 2. Linear elastostatics; 3. Linear elastodynamics; 4. Approximate theories; 5. Nonlinear elasticity; 6. Asymptotic analysis; 7. Fracture and contact; 8. Plasticity; 9. More general theories; Epilogue; Appendix 1. Orthogonal curvilinear coordinates; References.

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Book SynopsisThe idea of forecasting the weather by calculation was first dreamt of by Lewis Fry Richardson. He set out in this book a detailed algorithm for systematic numerical weather prediction. The method of computing atmospheric changes, which he mapped out in great detail in this book, is essentially the method used today. He was greatly ahead of his time because, before his ideas could bear fruit, advances in four critical areas were needed: better understanding of the dynamics of the atmosphere; stable computational algorithms to integrate the equations; regular observations of the free atmosphere; and powerful automatic computer equipment. Over the ensuing years, progress in numerical weather prediction has been dramatic. Weather prediction and climate modelling have now reached a high level of sophistication, and are witness to the influence of Richardson's ideas. This new edition contains a new foreword by Peter Lynch that sets the original book in context.Trade Review'The book can be warmly recommended to people interested in the history of meteorology as well as to those who want to have a more or less complete record on numerical weather prediction techniques on their bookshelf.' Meteorologische ZeitschriftTable of ContentsForeword; 1. Summary; 2. Introductory example; 3. The choice of cooordinate differences; 4. The fundamental equations; 5. Finding the vertical velocity; 6. Special treatment for the stratosphere; 7. The arrangement of points and instants; 8. Review of operations in sequence; 9. An example worked on computing forms; 10. Smoothing the initial data; 11. Some remaining problems; 12. Units and notation; Index of persons; Index of subsidiary subjects.

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Book SynopsisPeople decide about political parties by taking into account the preferences, values, expectations, and perceptions of their family, friends, colleagues, and neighbours. As most people live with others, members of their households influence each other''s political decisions. How and what they think about politics and what they do are the outcomes of social processes. Applying varied statistical models to data from extensive German and British household surveys, this book shows that wives and husbands influence each other; young adults influence their parents, especially their mothers. Wives and mothers sit at the centre of households: their partisanship influences the partisanship of everyone else, and the others affect them. Politics in households interacts with competition among the political parties to sustain bounded partisanship. People ignore one of the major parties and vary their preference of its major rival over time. Election campaigns reinforce these choices.Trade Review'The analyses are varied and rigourous, and the data well situated for the authors' research goals. … The analyses and conclusions in Partisan Families will push scholarly thinking on partisanship and its social dimensions in important new directions, in Britain, Germany and beyond.' Journal of PoliticsTable of Contents1. The social logic of partisanship: a theoretical excursion; 2. Bounded partisanship in Germany and Britain; 3. A multivariate analysis of partisan support, preference, and constancy; 4. Bounded partisanship in intimate social units: husbands, wives, and domestic partners; 5. Bounded partisanship in intimate social units: German and British parents and children; 6. Partisan constancy and partisan families: turnout and vote choice in recent British elections.

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Book SynopsisInformation propagation through peer-to-peer systems, online social systems, wireless mobile ad hoc networks and other modern structures can be modelled as an epidemic on a network of contacts. Understanding how epidemic processes interact with network topology allows us to predict ultimate course, understand phase transitions and develop strategies to control and optimise dissemination. This book is a concise introduction for applied mathematicians and computer scientists to basic models, analytical tools and mathematical and algorithmic results. Mathematical tools introduced include coupling methods, Poisson approximation (the SteinâChen method), concentration inequalities (Chernoff bounds and AzumaâHoeffding inequality) and branching processes. The authors examine the small-world phenomenon, preferential attachment, as well as classical epidemics. Each chapter ends with pointers to the wider literature. An ideal accompaniment for graduate courses, this book is also for researchers (Trade Review'this is a nice introduction, at the level of a graduate course, to the propagation of biological epidemics and the spread of rumours in networks, aimed at students in computer science and applied probability.' Zentralblatt MATHTable of ContentsIntroduction; Part I. Shapeless Networks: 1. Galton-Watson branching processes; 2. Reed-Frost epidemics and Erdős-Rényi random graphs; 3. Connectivity and Poisson approximation; 4. Diameter of Erdős-Rényi graphs; 5. From microscopic to macroscopic dynamics; Part II. Structured Networks: 6. The small-world phenomenon; 7. Power laws via preferential attachment; 8. Epidemics on general graphs; 9. Viral marketing and optimised epidemics; References; Index.

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