Maths for engineers Books
Cambridge University Press TwoDimensional Wavelets and Their Relatives
Book SynopsisTwo-dimensional wavelets offer a number of advantages over discrete wavelet transforms, in particular for analysis of real-time signals. This book provides thorough and comprehensive treatment of 2-D wavelets, with extensive use of practical applications and illustrative examples throughout. For engineers, physicists and mathematicians.Trade ReviewReview of the hardback: 'This book is of great interest to anyone working in 2-d CWT and their applications.' Zentralblatt MATHTable of ContentsPrologue; 1. Warm-up: the 1-D continuous wavelet transform; 2. The 2-D continuous wavelet transform; 3. Some 2-D wavelets and their performances; 4. Applications of the 2-D CWT I. Image processing; 5. Applications of the 2-D CWT II. Physical applications; 6. Matrix geometry of wavelet analysis I; 7. Matrix geometry of wavelet analysis II; 8. Minimal uncertainty and Wigner transformations; 9. Higher-dimensional wavelets; 10. Spatio-temporal wavelets and motion estimation; 11. Beyond wavelets; Epilogue; Appendix 1; Bibliography; Index.
£61.27
Cambridge University Press Entropy of Hidden Markov Processes and Connections to Dynamical Systems Papers from the Banff International Research Station Workshop 385 London Lecture Note Series Series Number 385
Book SynopsisThis collection of research and survey papers sets out the theory of hidden Markov processes, in particular addressing a central problem of the subject: computation of the Shannon entropy rate of an HMP. Connections are drawn between approaches from various disciplines, whilst recent research results and open problems are described.Table of Contents1. Hidden Markov processes in the context of symbolic dynamics Mark Boyle and Karl Petersen; 2. On the preservation of Gibbsianess under symbol amalgamation Jean-René Chazottes and E. Ugalde; 3. A note on a complex Hilbert metric with application to domain of analyticity for entropy rate of hidden Markov processes Guangyue Han, Brian Marcus and Yuval Peres; 4. Bounds on the entropy rate of binary hidden Markov processes Erik Ordentlich and Tsachy Weissman; 5. Entropy rate for hidden Markov chains with rare transitions Yuval Peres and Anthony Quas; 6. The capacity of finite-state channels in the high-noise regime Henry Pfister; 7. Computing entropy rates for hidden Markov processes Mark Pollicott; 8. Factors of Gibbs measures for full shifts Mark Pollicott and Thomas Kempton; 9. Thermodynamics of hidden Markov processes Evgeny Verbitskiy.
£75.39
Cambridge University Press A Students Guide to Data and Error Analysis
Book SynopsisAll students taking laboratory courses within the physical sciences and engineering will benefit from this book. A concise, readable guide to data handling and error analysis, this book provides practical guidelines, computer programs (in Python), and recipes for the proper handling and presentation of scientific data and their inaccuracies.Trade Review"Overall, this would be a nice text or reference to accompany a short course in statistics for undergraduate science or engineering..also useful for researchers desiring a primer or review...Recommended." - CHOICETable of ContentsPart I. Data and Error Analysis: 1. Introduction; 2. The presentation of physical quantities with their inaccuracies; 3. Errors: classification and propagation; 4. Probability distributions; 5. Processing of experimental data; 6. Graphical handling of data with errors; 7. Fitting functions to data; 8. Back to Bayes: knowledge as a probability distribution; Answers to exercises; Part II. Appendices: A1. Combining uncertainties; A2. Systematic deviations due to random errors; A3. Characteristic function; A4. From binomial to normal distributions; A5. Central limit theorem; A6. Estimation of the varience; A7. Standard deviation of the mean; A8. Weight factors when variances are not equal; A9. Least squares fitting; Part III. Python Codes; Part IV. Scientific Data: Chi-squared distribution; F-distribution; Normal distribution; Physical constants; Probability distributions; Student's t-distribution; Units.
£70.00
Cambridge University Press A Students Guide to Data and Error Analysis
Book SynopsisAll students taking laboratory courses within the physical sciences and engineering will benefit from this book, whilst researchers will find it an invaluable reference. This concise, practical guide brings the reader up-to-speed on the proper handling and presentation of scientific data and its inaccuracies. It covers all the vital topics with practical guidelines, computer programs (in Python), and recipes for handling experimental errors and reporting experimental data. In addition to the essentials, it also provides further background material for advanced readers who want to understand how the methods work. Plenty of examples, exercises and solutions are provided to aid and test understanding, whilst useful data, tables and formulas are compiled in a handy section for easy reference.Trade Review"Overall, this would be a nice text or reference to accompany a short course in statistics for undergraduate science or engineering..also useful for researchers desiring a primer or review...Recommended." - CHOICETable of ContentsPart I. Data and Error Analysis: 1. Introduction; 2. The presentation of physical quantities with their inaccuracies; 3. Errors: classification and propagation; 4. Probability distributions; 5. Processing of experimental data; 6. Graphical handling of data with errors; 7. Fitting functions to data; 8. Back to Bayes: knowledge as a probability distribution; Answers to exercises; Part II. Appendices: A1. Combining uncertainties; A2. Systematic deviations due to random errors; A3. Characteristic function; A4. From binomial to normal distributions; A5. Central limit theorem; A6. Estimation of the varience; A7. Standard deviation of the mean; A8. Weight factors when variances are not equal; A9. Least squares fitting; Part III. Python Codes; Part IV. Scientific Data: Chi-squared distribution; F-distribution; Normal distribution; Physical constants; Probability distributions; Student's t-distribution; Units.
£32.42
Cambridge University Press Geometrical Mechanics and De Broglie Waves Cambridge Monographs on Mechanics and Applied Mathematics
Book SynopsisThis book was first published in 1954. Its main focus, almost uniquely for its time, is the application of Hamilton's optical method to variational principles in space-time. Professor J. L. Synge here uses this method to generate a completely relativistic theory of de Broglie waves: a theory both simple and easily visualised in relation to space-time. Throughout this volume Professor Synge systematically develops this theory, engaging with readily accessible examples as well as more abstract concepts. His introduction helpfully contextualizes this study within the field of theoretical physics, whilst individual chapters focus upon the physics of rays and waves in space-time, the application of geometrical mechanics to free and changed particles, and the topic of primitive quantization. This book will be of interest to any physicists involved in the study of either de Broglie waves and Hamilton's optical method, or the work of Professor Synge himself.Table of ContentsPreface; 1. Introduction; 2. General theory of rays and waves in space-time; 3. Geometrical mechanics for a particle, free or in a given field; 4. Primitive quantization; 5. Some generalizations; References; Index.
£36.99
Cambridge University Press Modern Signal Processing 46 Mathematical Sciences Research Institute Publications Series Number 46
Book SynopsisSignal processing is everywhere in modern technology. Its mathematical basis and many areas of application are the subject of this book, based on a series of graduate-level lectures held at the Mathematical Sciences Research Institute. Emphasis is on challenges in the subject, particular techniques adapted to particular technologies, and certain advances in algorithms and theory. The book covers two main areas: computational harmonic analysis, envisioned as a technology for efficiently analysing real data using inherent symmetries; and the challenges inherent in the acquisition, processing and analysis of images and sensing data in general [EMDASH] ranging from sonar on a submarine to a neuroscientist's fMRI study.Table of Contents1. Introduction D. Rockmore and D. Healy; 2. Hyperbolic geometry, Nehari's theorem, electric circuits, and analog signal processing J. Allen and D. Healy; 3. Engineering applications of the motion-group Fourier transform G. Chirikjian and Y. Wang; 4. Fast x-ray and beamlet transforms for three-dimensional data D. Donoho and O. Levi; 5. Fourier analysis and phylogenetic trees S. Evans; 6. Diffuse tomography as a source of challenging nonlinear inverse problems for a general class of networks A. Grunbaum; 7. An invitation to matrix-valued spherical functions A. Grunbaum, I. Pacharoni and J. Tirao; 8. Image registration for MRI P. Kostelec and S. Periaswamy; 9. The mathematics of JPEG 2000 Jin Li; 10. Integrated sensing and processing for statistical pattern recognition C. Priebe, D. Marchette and D. Healy; 11. Sampling of functions and sections for compact groups D. Maslen; 12. The Cooley-Tukey FFT and group theory D. Maslen and D. Rockmore; 13. Mathematical challenges for optical communications U. Osterberg; 14. The generalized spike process, sparsity and statistical independence N. Saito.
£41.99
Cambridge University Press A Students Guide to Fourier Transforms With Applications in Physics and Engineering Students Guides
Book SynopsisFourier transform theory is of central importance in a vast range of applications in physical science, engineering and applied mathematics. Providing a concise introduction to the theory and practice of Fourier transforms, this book is invaluable to students of physics, electrical and electronic engineering, and computer science. After a brief description of the basic ideas and theorems, the power of the technique is illustrated through applications in optics, spectroscopy, electronics and telecommunications. The rarely discussed but important field of multi-dimensional Fourier theory is covered, including a description of Computer Axial Tomography (CAT scanning). The book concludes by discussing digital methods, with particular attention to the Fast Fourier Transform and its implementation. This new edition has been revised to include new and interesting material, such as convolution with a sinusoid, coherence, the Michelson stellar interferometer and the van CittertâZernike theorem,Trade ReviewFrom previous editions: 'It is the wide range of topics that makes this book so appealing … I highly recommend this book for the advanced student … Even the expert who wants a deeper appreciation of the Fourier transform will find the book useful.' Computers in Physics'… this is an excellent book to initiate students who possess a reasonable mathematical background to the use of Fourier transforms …' Microscopy and AnalysisTable of Contents1. Physics and Fourier transforms; 2. Useful properties and theorems; 3. Applications 1: Fraunhofer diffraction; 4. Applications 2: signal analysis and communication theory; 5. Applications 3: spectroscopy and spectral line shapes; 6. Two-dimensional Fourier transforms; 7. Multi-dimensional Fourier transforms; 8. The formal complex Fourier transform; 9. Discrete and digital Fourier transforms; 10. Appendix; 11. Bibliography; 12. Index.
£25.99
Cambridge University Press The Design of Experiments Statistical Principles For Practical Applications
Book SynopsisIn all the experimental sciences, good design of experiments is crucial to the success of research. Well-planned experiments can provide a great deal of information efficiently and can be used to test several hypotheses simultaneously. This book is about the statistical principles of good experimental design and is intended for all applied statisticians and practising scientists engaged in the design, implementation and analysis of experiments. Professor Mead has written the book with the emphasis on the logical principles of statistical design and employs a minimum of mathematics. Throughout he assumes that the large-scale analysis of data will be performed by computers and he is thus able to devote more attention to discussions of how all of the available information can be used to extract the clearest answers to many questions. The principles are illustrated with a wide range of examples drawn from medicine, agriculture, industry and other disciplines. Numerous exercises are given tTrade Review"Simply superlative...concepts and principles are presented with clarity, balance, and thoroughness." Ecology"A systematic and comprehensive coverage of statistical principles as applied to the design of scientific experiments...The book is well-written and contains very useful information that is relevant to a variety of scientific disciplines." ChoiceTable of ContentsPreface; Part I. Overture: 1. Introduction; 2. Elementary ideas of blocking: the randomised block design; 3. Elementary ideas of treatment structure; 4. General principles of linear models for the analysis of experimental data; 5. Computers for analysing experimental data; Part II. First Subject: 6. Replication; 7. Blocking; 8. Multiple blocking systems and cross-over designs; 9. Randomisation; 10. Covariance - extension of linear models; 11. Model assumptions and more general models; Part III. Second Subject: 12. Experimental objectives, treatments and treatment structures; 13. Factorial structure and particular forms of effects; 14. Split unit designs and repeated measurements; 15. Incomplete bloxk size for factorial experiments; 16. Some mathematical theory for comfounding and fractional replication; 17. Quantitative factors and response functions; 18. Response surface exploration; Part IV. Coda: 19. Designing useful experiments; References; Index.
£89.99
Cambridge University Press Mathematical Methods in Electrical Engineering
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.
£115.00
Cambridge University Press Differential Forms and Connections
Book SynopsisThis 1994 book introduces the tools of modern differential geometry, exterior calculus, manifolds, vector bundles and connections, to advanced undergraduate and beginning graduate students in mathematics, physics and engineering. There are nearly 200 exercises, making the book ideal for both classroom use and self-study.Trade Review"...Darling's exegesis is clear and easy to understand, and his frequent use of examples is beneficial to the reader. There are many exercises that serve to reinforce the concepts." D.P. Turner, Choice"...easy on the eyes; some nice exercises..." American Mathematical Monthly"The exposition is clear and, in the American textbook style, has many exercises, both theoretical and computational. In summary, this text provides a worthwhile elementary introduction to anyone who wants to understand the basic mathematical ingredients of Differential Geometry and its interactions with Physics." F.E. Burstall, Contemporary Physics"...a good introduction to differential geometry and its applications to physics by using the calculus of differential forms...Nearly 200 exercises and many examples will help the reader's understanding...this book can be recommended as a good textbook for advanced undergraduate and beginning graduate students in mathematics, physics, and engineering." Akira Asada, Mathematical ReviewsTable of ContentsPreface; 1. Exterior algebra; 2. Exterior calculus on Euclidean space; 3. Submanifolds of Euclidean spaces; 4. Surface theory using moving frames; 5. Differential manifolds; 6. Vector bundles; 7. Frame fields, forms and metrics; 8. Integration on oriented manifolds; 9. Connections on vector bundles; 10. Applications to gauge field theory; Bibliography; Index.
£52.20
Cambridge University Press Quality and Reliability in Engineering
Book SynopsisQuality and Reliability in Engineering provides an integrated approach to quality specification, quality control and monitoring, and reliability. Examples and exercises stress practical engineering applications. It can be used as a supplement to upper level capstone design courses, short courses for quality training, and as a resource for practising engineers.Table of Contents1. Quality concepts; 2. Tolerances and fits; 3. Geometric tolerances; 4. Elements of probability and statistics; 5. Sampling concepts; 6. Data presentation; 7. Statistical process control; 8. Process capability analysis; 9. Acceptance sampling; 10. Experimental design; 11. Reliability concepts; 12. Reliability testing.
£74.99
Cambridge University Press Elements of the Theory of Structures
Book SynopsisA good grasp of the theory of structures is fundamental to structural engineers and architects. This lucid volume provides a broad introduction to the mathematics behind a range of structural processes - to help structural engineers and practising architects gain a better intuitive understanding of the structural analysis and design of buildings.Trade Review"Elements of the Theory of Structures has become one of this reviewer's prize possessions. Anyone with a love of structures, an appreciation of the practical, and adequate mathematical preparation should get this book." A.F. Martin, Applied Mechanics ReviewTable of ContentsPreface; 1. The theory of structures; 2. Virtual work; 3. Betti, Maxwell, Müller-Breslau, Melchers; 4. Jettied construction; 5. Clebsch, Macaulay, Wittrick, Lowe; 6. The elastica; 7. Mechanisms of collapse; 8. The absolute minimum-weight design of frames; 9. Inverse design of grillages; 10. The relation between incremental and static plastic collapse; 11. The bending of a beam of trapezoidal cross-section; 12. The simple plastic bending of beams; 13. Leaning walls; domes and fan vaults; the error function; Bibliography; Name index; Subject index.
£126.24
Cambridge University Press Mathematical Analysis in Engineering
Book SynopsisThis user-friendly 1995 text on applied mathematics is for beginning graduate students in engineering. Rather than follow the traditional approach of stating mathematical principles and then citing physical examples, the book puts applications at centre stage; that is, it starts with the problem, finds the mathematics that suits it and ends with a mathematical analysis of the physics.Trade Review'The strength of the book lies in its wealth of applications. All too often books on this topic focus on mathematical techniques while paying only a lip service to applications. Professor Mei set out to give engineering applications a larger 'share of the spotlight'. Numerous examples are worked in the text, and additional applications can be found in the exercises. The problems are drawn from mechanics; they include problems such as vibrating strings, the bending of beams, problems in diffusion, and heat conduction. The author has also included many problems from the geosciences.' Jurgen Gerlach, SIAM Review'All-in-all, this is an excellent book with a readable style. The mathematical analysis is clear … The examples and illustrations are well-chosen and as simple as can be without being trivial. They are also practical and very diverse.' J. A. Hudson, Journal of Fluid MechanicsTable of ContentsPreface; Achnowledgments; 1. Formulation of physical problems; 2. Classification of equations; 3. One-dimensional waves; 4. Finite domains and separation of variables; 5. Elements of Fourier series; 6. Introduction to Green's functions; 7. Unbounded domains and Fourier transforms; 8. Bessel functions and circular domains; 9. Complex variables; 10. Laplace transform and initial value problems; 11. Conformal mapping and hydrodynamics; 12. Riemann–Hilbert problems in hydrodynamics and elasticity; 13. Perturbation methods - the art of approximation; 14. Computer algebra for perturbation analysis; Appendices; Bibliography; Index.
£69.99
Cambridge University Press Statistical Distributions in Engineering
Book SynopsisThis 1999 text deals with some useful ways to model the uncertainty and variation associated with the quantitative information encountered in a wide variety of engineering contexts. All examples are presented as Mathcad documents which can be used as templates, eliminating the need for programming.Trade Review' … the book is well structured and well written, particularly in the stand-alone chapters on the individual distributions … In summary, if your work or graduate study involves the statistical analysis of engineering data, Statistical Distributions in Engineering provides a good value reference.' J. E. Cooper, Journal of Mechanical Engineering Science'The book is well written, quite comprehensive and easy to follow. It is highly recommended for graduate students and researchers in engineering as well as practicing engineers and scientists who deal with uncertainty assessment in engineering contexts.' The American Statistician'As a reference, the book could serve a great variety of readers, not limited to engineers only, but to all kinds of readers involved in the application of statistics and statistical modelling.' D. Christozov, Measuring Science TechnologyTable of ContentsPreface; Part I. Statistical Background: 1. Introduction; 2. Statistics; 3. Inference; Part II. Discrete Distributions: 4. Introduction to discrete distributions; 5. Hypergeometric distributions; 6. Binomial distributions; 7. Negative binomial distributions; 8. Poisson distributions; Part III. Continuous Distributions: 9. Introduction to continuous distributions; 10. Normal distributions; 11. Log-Normal distributions; 12. Exponential distributions; 13. Gamma distributions; 14. Beta distributions; 15. Gumbel distributions; 16. Frechet distributions; 17. Weibull distributions; Index.
£155.00
Cambridge University Press Statistical Distributions in Engineering
Book SynopsisThis 1999 text deals with some useful ways to model the uncertainty and variation associated with the quantitative information encountered in a wide variety of engineering contexts. All examples are presented as Mathcad documents which can be used as templates, eliminating the need for programming.Trade Review' … the book is well structured and well written, particularly in the stand-alone chapters on the individual distributions … In summary, if your work or graduate study involves the statistical analysis of engineering data, Statistical Distributions in Engineering provides a good value reference.' J. E. Cooper, Journal of Mechanical Engineering Science'The book is well written, quite comprehensive and easy to follow. It is highly recommended for graduate students and researchers in engineering as well as practicing engineers and scientists who deal with uncertainty assessment in engineering contexts.' The American Statistician'As a reference, the book could serve a great variety of readers, not limited to engineers only, but to all kinds of readers involved in the application of statistics and statistical modelling.' D. Christozov, Measuring Science TechnologyTable of ContentsPreface; Part I. Statistical Background: 1. Introduction; 2. Statistics; 3. Inference; Part II. Discrete Distributions: 4. Introduction to discrete distributions; 5. Hypergeometric distributions; 6. Binomial distributions; 7. Negative binomial distributions; 8. Poisson distributions; Part III. Continuous Distributions: 9. Introduction to continuous distributions; 10. Normal distributions; 11. Log-Normal distributions; 12. Exponential distributions; 13. Gamma distributions; 14. Beta distributions; 15. Gumbel distributions; 16. Frechet distributions; 17. Weibull distributions; Index.
£54.99
Cambridge University Press A Guide to FirstPassage Processes
Book SynopsisFirst-passage properties underlie a wide range of stochastic processes, such as diffusion-limited growth, neuron firing and the triggering of stock options. This book provides a unified presentation of first-passage processes, which highlights its interrelations with electrostatics and the resulting powerful consequences. The author begins with a presentation of fundamental theory including the connection between the occupation and first-passage probabilities of a random walk, and the connection to electrostatics and current flows in resistor networks. The consequences of this theory are then developed for simple, illustrative geometries including the finite and semi-infinite intervals, fractal networks, spherical geometries and the wedge. Various applications are presented including neuron dynamics, self-organized criticality, diffusion-limited aggregation, the dynamics of spin systems and the kinetics of diffusion-controlled reactions. First-passage processes provide an appealing wayTrade Review'… this is unquestionably a valuable book, written at an accessible level for graduate students while providing a nice summary of the last century's - and notably the last two decades' - developments of these methods. I do not doubt that this will be a popular book; it fills a hole in the textbook/monograph literature that's needed filling for at least ten years. Moreover, the author's style is relaxed and crystal clear while maintaining mathematical precision and power.' Charles Doering, University of Michigan'… to practitioners in the field of first-passage problems and to students entering the field … I can recommend it strongly … It is clearly written and the organisation and presentation of the material are excellent. It serves as a useful repository of standard and not-so-standard techniques which anyone working in the area of stochastic processes in general, and first-passage problems in particular, will want to have on their shelves.' Alan J. Bray, The Journal of Statistical Physics'I found the author's style accessible and interesting.' Contemporary PhysicsTable of ContentsPreface; Errata; 1. First-passage fundamentals; 2. First passage in an interval; 3. Semi-infinite system; 4. Illustrations of first passage in simple geometries; 5. Fractal and nonfractal networks; 6. Systems with spherical symmetry; 7. Wedge domains; 8. Applications to simple reactions; References; Index.
£111.00
Cambridge University Press Statistical Thermodynamics and Microscale Thermophysics
Book SynopsisDiscusses microscale energy storage mechanisms from a quantum mechanics perspective, fundamentals of classical and statistical thermodynamics, and applications of equilibrium statistical thermodynamics to solid, liquid, and gas phase systems. The final chapters introduce nonequilibrium thermodynamics of transport phenomena and nonequilibrium effects and noncontinuum behavior at the microscale.Trade Review'… a very useful book for anyone who is particularly interested in thermodynamics … good value.' W. A. Woods, Journal of Mechanical of Engineering ScienceTable of ContentsPreface; 1. Quantum mechanics and energy storage in particles; 2. Statistical treatment of multiparticle systems; 3. A macroscopic framework; 4. Other ensemble formulations; 5. Ideal gases; 6. Dense gases, liquids and quantum fluids; 7. Solid crystals; 8. Phase transitions and phase equilibrium; 9. Nonequilibrium thermodynamics; 10. Nonequilibrium and noncontinuum elements of microscale systems; Appendices; Nomenclature; Index.
£66.99
Cambridge University Press Applied Complex Variables for Scientists and
Book SynopsisAn introduction to complex variable methods for scientists and engineers, with a high proportion of the book devoted to applications to physical problems. Now containing even more exercises with solutions, it is highly suitable for those wishing to learn the elements of complex analysis in an applied context.Trade Review'This text achieves a mixture of rigour and application that is not found in many books on complex variable theory. I think this is an advantage, allowing one to acquire the best of both mathematical precision alongside applications to physics and engineering … This must surely appeal to a wide range of learning styles and ensure a greater understanding for anyone who chooses to read this text.' W. Joyce, Contemporary Physics'… this book if acquired is bound to be consulted frequently on any time frame because of its breadth, versatility, completeness and mix of theory with applications.' W. Joyce, Contemporary Physics'… clear and comprehensible …' Bulletin of the Belgian Mathematical Society'The book is just right for students learning the elements of function theory in an applied context.' Zeitschrift für Angewandte Mathematik und MechanikTable of ContentsPreface; 1. Complex numbers; 2. Analytic functions; 3. Exponential, logarithmic and trigonometric functions; 4. Complex integration; 5. Taylor and Laurent series; 6. Singularities and calculus of residues; 7. Boundary value problems and initial-boundary value problems; 8. Conformal mappings and applications; Answers to problems; Index.
£51.21
Cambridge University Press Fundamentals of Engineering Numerical Analysis
Book SynopsisThis text introduces numerical methods and shows how to develop, analyse, and use them. Complete MATLAB programs are now available at www.cambridge.org/Moin, with more than 30 exercises. This thorough and practical book is a first course in numerical analysis for new graduate students in engineering and physical science.Trade Review'… thorough and practical …' Mathematical ReviewsTable of Contents1. Interpolation; 2. Numerical differentiation - finite differences; 3. Numerical integration; 4. Numerical solution of ordinary differential equations; 5. Numerical solution of partial differential equations; 6. Discrete transform methods; Appendix. A review of linear algebra.
£66.99
Cambridge University Press Nonequilibrium Statistical Mechanics and Turbulence 355 London Mathematical Society Lecture Note Series Series Number 355
Book SynopsisThis self-contained volume introduces modern methods of statistical mechanics in turbulence, with three harmonised lecture courses by world class experts.Table of Contents1. Preface; 2. Introduction to turbulence theory Gregory Falkovich; 3. Soluble models of turbulent transport Krzysztof Gawedzki; 3. Reaction-diffusion processes John Cardy.
£46.99
Cambridge University Press Statistical Thermodynamics and Stochastic Kinetics
Book SynopsisPresenting the principles of thermodynamics from a microscopic point of view, this book provides engineers with the knowledge they need to solve engineering challenges at the molecular level. Featuring many worked examples and over 100 end-of-chapter exercises, it is ideal for use in the classroom as well as for self-study.Trade Review"Incorporating many worked examples and more than 100 end-of-chapter exercises, the book should be valuable for classroom learning as well as for self-study" - Chemical Engineering Progress, April 2012Table of Contents1. Introduction; 2. Elements of probability and combinatorial theory; 3. From classical to quantum mechanics, and back; 4. Ensemble theory; 5. Canonical ensemble; 6. Fluctuations and other ensembles; 7. Molecules; 8. Non-ideal gases; 9. Liquids and crystals; 10. Beyond pure, single-component systems; 11. Polymers – Brownian dynamics; 12. Non-equilibrium thermodynamics; 13. Stochastic processes; 14. Molecular simulations; 15. Monte Carlo simulations; 16. Molecular dynamics simulations; 17. Analyzing simulation results; 18. Simulations of stochastic reaction kinetics.
£59.11
Cambridge University Press Detection and Estimation for Communication and Radar Systems
Book SynopsisCovering the fundamentals of detection and estimation theory, this systematic guide describes statistical tools that can be used to analyze, design, implement and optimize real-world systems. Detailed derivations of the various statistical methods are provided, ensuring a deeper understanding of the basics. Packed with practical insights, it uses extensive examples from communication, telecommunication and radar engineering to illustrate how theoretical results are derived and applied in practice. A unique blend of theory and applications and over 80 analytical and computational end-of-chapter problems make this an ideal resource for both graduate students and professional engineers.Table of Contents1. Introduction and motivation to detection and estimation; 2. Review of probability and random processes; 3. Statistical hypothesis testing theory; 4. Detection of deterministic binary signals in Gaussian noises; 5. M-ary detection and classification of deterministic signals; 6. Non-coherent detection; 7. Parameter estimation; 8. Analytical and simulation methods for system performance analysis and design.
£74.99
Cambridge University Press AirSea Interaction
Book SynopsisAir-Sea Interaction, first published in 2001, provides a comprehensive account of how the atmosphere and the ocean interact to control the global climate. It is mainly directed towards graduate students and research scientists in meteorology, oceanography, and environmental engineering, but will also appeal to the broader physics community.Trade Review"... [This book] provides a new and long-needed perspective on air-sea interaction ... Csanady provides an excellent synthesis of approaches and results." OceanographyTable of Contents1. The transfer laws of the air-sea interface; 2. Wind, waves and the mechanisms of air-sea transfer; 3. Mixed layers in contact; 4. Hot towers; 5. The ocean's warm-water-sphere; References; Index.
£130.00
Cambridge University Press AirSea Interaction
Book SynopsisAir-Sea Interaction, first published in 2001, provides a comprehensive account of how the atmosphere and the ocean interact to control the global climate. It is mainly directed towards graduate students and research scientists in meteorology, oceanography, and environmental engineering, but will also appeal to the broader physics community.Trade Review"... [This book] provides a new and long-needed perspective on air-sea interaction ... Csanady provides an excellent synthesis of approaches and results." OceanographyTable of Contents1. The transfer laws of the air-sea interface; 2. Wind, waves and the mechanisms of air-sea transfer; 3. Mixed layers in contact; 4. Hot towers; 5. The ocean's warm-water-sphere; References; Index.
£62.99
Cambridge University Press Computational Aeroacoustics A Wave Number Approach 33 Cambridge Aerospace Series Series Number 33
Book SynopsisThe objective of Computational Aeroacoustics is not simply to develop computational methods but to use these methods to solve aeroacoustics problems and perform numerical simulation of aeroacoustic phenomena. This is both a textbook with exercises for graduate students and a reference with code for researchers in CAA.Trade Review'… a good textbook for graduate students and a reference book for researchers in CAA. Exercises are included and are designed to be an integral part of the chapter content. In addition, sample computer programs are included …' Zentralblatt MATH'… highly recommended … The experience of the author is present throughout the book, and should help newcomers … This book should form part of the reference collection of any worker in advanced CFD methods.' Michael J. Carley, Mathematical ReviewsTable of Contents1. Finite difference equations; 2. Spatial discretization in wave number space; 3. Time discretization; 4. Finite difference scheme as dispersive waves; 5. Finite difference solution of the Euler equations; 6. Radiation, outflow, and wall boundary conditions; 7. The short wave component of finite difference schemes; 8. Nonlinear acoustic waves and shocks; 9. Advanced numerical boundary treatments; 10. Time domain impedance boundary condition; 11. Extrapolation and interpolation; 12. Multi-scales problems; 13. Complex geometry; 14. Continuation of a near field acoustic solution to the far field; 15. CAA code design and applications.
£107.00
Cambridge University Press Aperiodic Order
Book SynopsisThis first volume in a series provides a graduate-level introduction to the many facets of aperiodic order. Special attention is given to methods from algebra, discrete geometry and harmonic analysis, while the main focus is on topics motivated by physics and crystallography. Numerous illustrations and examples are included.Trade Review'Mathematicians add hypotheses to theorems either to bar known monsters or provisionally to enable proof, pending better ideas that lead to more general results … Monsters no more, aperiodic filings have joined mainstream mathematics, and undergraduates drawn here by beautiful graphics will find themselves initiated into algebraic number theory, Lie theory, ergodic theory, dynamical systems, finite-state automata, Fourier analysis, and more.' D. V. Feldman, University of New Hampshire'Aperiodic Order is a comprehensive introduction to this relatively new and multidisciplinary field. Sparked by Dan Shechtman's discovery of quasicrystals in 1982, which earned him the 2011 Nobel Prize in Chemistry, the field incorporates crystallography, discrete geometry, dynamical systems, harmonic analysis, mathematical diffraction theory, and more. Because the field spans such disparate fields, advances by one group often go unnoticed by the other. An important goal of this book is to remedy this by unifying and contextualizing results and providing a common language for researchers. … Readers who want to follow up on any details can certainly find a reference in the nearly 30 pages of bibliographic entries. Full of examples, construction techniques, and an array of analytic tools, this book is an outstanding resource for those hoping to enter the field, yet also contains plenty of useful information for seasoned experts.' Natalie Priebe Frank, Mathematical Association of AmericaTable of ContentsForeword Roger Penrose; Preface; 1. Introduction; 2. Preliminaries; 3. Lattices and crystals; 4. Symbolic substitutions and inflations; 5. Patterns and tilings; 6. Inflation tilings; 7. Projection method and model sets; 8. Fourier analysis and measures; 9. Diffraction; 10. Beyond model sets; 11. Random structures; A. The icosahedral group; Appendix B. The dynamical spectrum; References; Index.
£92.99
Cambridge University Press Numerical and Statistical Methods for Bioengineering
Book SynopsisThe first MATLAB-based numerical methods textbook specifically for bioengineers, including topics on hypothesis testing, plus numerous examples drawn exclusively from biomedical engineering applications. This is an ideal core text for one-semester undergraduate courses, and is also a valuable reference for anyone interested in the quantitative aspects of biology research.Trade Review'I think this book is a winner … [it] is really easy to read and places frameworks for numerical analysis into realistic bioengineering concepts that students will find familiar and relevant. This is most evident in the excellent boxed examples, but also in many of the homework problems. I also really liked the 'key points to consider' at the end of the chapters - these are useful reminders for the students. Finally, the book presents bioinformatics in a manageable fashion that should help demystify this subject for interested students.' K. Jane Grande-Allen, Rice UniversityTable of Contents1. Types and sources of numerical error; 2. Systems of linear equations; 3. Statistics and probability; 4. Hypothesis testing; 5. Root finding techniques for nonlinear equations; 6. Numerical quadrature; 7. Numerical integration of ordinary differential equations; 8. Nonlinear data regression and optimization; 9. Basic algorithms of bioinformatics; Appendix A. Introduction to MATLAB; Appendix B. Location of nodes for Gauss-Legendre quadrature.
£89.99
Cambridge University Press Filtering and System Identification
Book SynopsisThis 2007 book discusses the design of reliable numerical methods to retrieve missing information in models of complex systems.Table of ContentsPreface; 1. Introduction; 2. Linear algebra; 3. Discrete-time signals and systems; 4. Random variables and signals; 5. Kalman filtering; 6. Estimation of spectra and frequency response functions; 7. Output-error parametric model estimation; 8. Prediction-error parametric model estimation; 9. Subspace model identification; 10. The system identification cycle; Notation and symbols; List of abbreviations; References; Index.
£135.00
Cambridge University Press Fundamentals of Engineering Numerical Analysis
Book SynopsisThis text introduces numerical methods and shows how to develop, analyse, and use them. Complete MATLAB programs are now available at www.cambridge.org/Moin, with more than 30 exercises. This thorough and practical book is a first course in numerical analysis for new graduate students in engineering and physical science.Trade Review'… thorough and practical …' Mathematical ReviewsTable of Contents1. Interpolation; 2. Numerical differentiation - finite differences; 3. Numerical integration; 4. Numerical solution of ordinary differential equations; 5. Numerical solution of partial differential equations; 6. Discrete transform methods; Appendix. A review of linear algebra.
£99.99
Springer Homogenisation Averaging Processes in Periodic Media Mathematical Problems in the Mechanics of Composite Materials 36 Mathematics and its Applications
Book Synopsis1. Formulation of Elementary Boundary Value Problems.- 1. The Concept of the Classical Formulation of a Boundary Value Problem for Equations with Discontinuous Coefficients.- 2. The Concept of Generalized Solution.- 3. Generalized Formulations of Problems for the Basic Equations of Mathematical Physics.- 2. The Concept of Asymptotic Expansion. A Model Example to Illustrate the Averaging Method.- 1. Asymptotic expansion. A Formal Asymptotic Solution.- 2. Asymptotic Expansion of a Solution of the Equation u = 1 + ?u3.- 3. Asymptotic Expansion of a Solution of the Equation (K(x/?)u?)?= f(x) by the Averaging Method.- 4. Generalization of the Averaging Method in the Case of a Piecewise Smooth Coefficient.- 5. Averaging the System of Differential Equations.- 3. Averaging Processes in Layered Media.- 1. Problem of Small Longitudinal Vibrations of a Rod.- 2. Nonstationary Problem of Heat Conduction.- 3. Averaging Maxwell Equations.- 4. Averaging Equations of a Viscoelastic Medium.- 5. Media with Slowly Changing Geometric Characteristics.- 6. Heat Transfer Through a System of Screens.- 7. Averaging a Nonlinear Problem of the Elasticity Theory in an Inhomogeneous Rod.- 8. The System of Equations of Elasticity Theory in a Layered Medium.- 9. Considerations Permitting Reduction of Calculations in Constructing Averaged Equations.- 10. Nonstationary Nonlinear Problems.- 11. Averaging Equations with Rapidly Oscillating Nonperiodic Coefficients.- 12. Problems of Plasticity and Dynamics of Viscous Fluid as Described by Functions Depending on Fast Variables.- 4. Averaging Basic Equations of Mathematical Physics.- 1. Averaging Stationary Thermal Fields in a Composite.- 2. Asymptotic Expansion of Solution of the Stationary Heat ConductionProblem.- 3. Stationary Thermal Field in a Porous Medium.- 4. Averaging a Stationary System of Equations of Elasticity Theory in Composite and Porous Materials.- 5. Nonstationary Systems of Equations of Elasticity and Diffusion Theory.- 6. Averaging Nonstationary Nonlinear System of Equations of Elasticity Theory.- 7. Averaging Stokes and Navier-Stokes Equations. The Derivation of the Percolation Law for a Porous Medium (Darcy's Law).- 8. Averaging in case of Short-Wave Propagation.- 9. Averaging the Transition Equation for a Periodic Medium.- 10. Eigenvalue Problems.- 5. General Formal Averaging Procedure.- 1. Averaging Nonlinear Equations.- 2. Averaged Equations of Infinite Order for a Linear Periodic Medium and for the Equation of Moment Theory.- 3. A Method of Describing Multi-Dimensional Periodic Media that does not Involve Separating Fast and Slow Variables.- 6. Properties of Effective Coefficients. Relationship Among Local and Averaged Characteristics of a Solution.- 1. Maintaining the Properties of Convexity and Symmetry of the Minimized Functional in Averaging.- 2. On the Principle of Equivalent Homogeneity.- 3. The Symmetry Properties of Effective Coefficients and Reduction of Periodic Problems to Boundary Value Problems.- 4. Agreement Between Theoretically Predicted Values of Effective Coefficients and Those Determined by an Ideal Experiment.- 7. Composite Materials Containing High-Modulus Reinforcement.- 1. The Stationary Field in a Layered Material.- 2. Composite Materials with Grains for Reinforcement.- 3. Dissipation of Waves in Layered Media.- 4. High-Modulus 3D Composite Materials.- 5. The Splitting Principle for the Averaged Operator for 3D High-Modulus Composites.- 8. Averaging of Processes in SkeletalStructures.- 1. An Example of Averaging a Problem on the Simplest Framework.- 2. A Geometric Model of a Framework.- 3. The Splitting Principle for the Averaged Operator for a Periodic Framework.- 4. The Splitting Principle for the Averaged Operator for Trusses and Thin-walled Structures.- 5. On Refining the Splitting Principle for the Averaged Operator.- 6 Asymptotic Expansion of a Solution of a Linear Equation in Partial Derivatives for a Rectangular Framework.- 7 Skeletal Structures with Random Properties.- 9. Mathematics of Boundary-Layer Theory in Composite Materials.- 1. Problem on the Contact of Two Layered Media.- 2. The Boundary Layer for an Elliptic Equation Defined on a Half-Plane.- 3. The Boundary Layer Near the Interface of Two Periodic Structures.- 4. Problem on the Contact of Two Media Divided by a Thin Interlayer.- 5. The Boundary Layer for the Nonstationary System of Equations of Elasticity Theory.- 6. On the Ultimate Strength of a Composite.- 7. Boundary Conditions of Other Types.- 8. On the Averaging of Fields in Layer Media with Layers of Composite Materials.- 9. The Time Boundary Layer for the Cauchy Parabolic Problem.- Supplement: Existence and Uniqueness Theorems for the Problem on a Cell.Table of Contents1. Formulation of Elementary Boundary Value Problems.- §1. The Concept of the Classical Formulation of a Boundary Value Problem for Equations with Discontinuous Coefficients.- §2. The Concept of Generalized Solution.- §3. Generalized Formulations of Problems for the Basic Equations of Mathematical Physics.- 2. The Concept of Asymptotic Expansion. A Model Example to Illustrate the Averaging Method.- §1. Asymptotic expansion. A Formal Asymptotic Solution.- §2. Asymptotic Expansion of a Solution of the Equation u = 1 + ?u3.- §3. Asymptotic Expansion of a Solution of the Equation (K(x/?)u?)?= f(x) by the Averaging Method.- §4. Generalization of the Averaging Method in the Case of a Piecewise Smooth Coefficient.- §5. Averaging the System of Differential Equations.- 3. Averaging Processes in Layered Media.- §1. Problem of Small Longitudinal Vibrations of a Rod.- §2. Nonstationary Problem of Heat Conduction.- §3. Averaging Maxwell Equations.- §4. Averaging Equations of a Viscoelastic Medium.- §5. Media with Slowly Changing Geometric Characteristics.- §6. Heat Transfer Through a System of Screens.- §7. Averaging a Nonlinear Problem of the Elasticity Theory in an Inhomogeneous Rod.- §8. The System of Equations of Elasticity Theory in a Layered Medium.- §9. Considerations Permitting Reduction of Calculations in Constructing Averaged Equations.- §10. Nonstationary Nonlinear Problems.- §11. Averaging Equations with Rapidly Oscillating Nonperiodic Coefficients.- §12. Problems of Plasticity and Dynamics of Viscous Fluid as Described by Functions Depending on Fast Variables.- 4. Averaging Basic Equations of Mathematical Physics.- §1. Averaging Stationary Thermal Fields in a Composite.- §2. Asymptotic Expansion of Solution of the Stationary Heat Conduction Problem.- §3. Stationary Thermal Field in a Porous Medium.- §4. Averaging a Stationary System of Equations of Elasticity Theory in Composite and Porous Materials.- §5. Nonstationary Systems of Equations of Elasticity and Diffusion Theory.- §6. Averaging Nonstationary Nonlinear System of Equations of Elasticity Theory.- §7. Averaging Stokes and Navier-Stokes Equations. The Derivation of the Percolation Law for a Porous Medium (Darcy’s Law).- §8. Averaging in case of Short-Wave Propagation.- §9. Averaging the Transition Equation for a Periodic Medium.- §10. Eigenvalue Problems.- 5. General Formal Averaging Procedure.- §1. Averaging Nonlinear Equations.- §2. Averaged Equations of Infinite Order for a Linear Periodic Medium and for the Equation of Moment Theory.- §3. A Method of Describing Multi-Dimensional Periodic Media that does not Involve Separating Fast and Slow Variables.- 6. Properties of Effective Coefficients. Relationship Among Local and Averaged Characteristics of a Solution.- §1. Maintaining the Properties of Convexity and Symmetry of the Minimized Functional in Averaging.- §2. On the Principle of Equivalent Homogeneity.- §3. The Symmetry Properties of Effective Coefficients and Reduction of Periodic Problems to Boundary Value Problems.- §4. Agreement Between Theoretically Predicted Values of Effective Coefficients and Those Determined by an Ideal Experiment.- 7. Composite Materials Containing High-Modulus Reinforcement.- §1. The Stationary Field in a Layered Material.- §2. Composite Materials with Grains for Reinforcement.- §3. Dissipation of Waves in Layered Media.- §4. High-Modulus 3D Composite Materials.- §5. The Splitting Principle for the Averaged Operator for 3D High-Modulus Composites.- 8. Averaging of Processes in Skeletal Structures.- §1. An Example of Averaging a Problem on the Simplest Framework.- §2. A Geometric Model of a Framework.- §3. The Splitting Principle for the Averaged Operator for a Periodic Framework.- §4. The Splitting Principle for the Averaged Operator for Trusses and Thin-walled Structures.- §5. On Refining the Splitting Principle for the Averaged Operator.- §6 Asymptotic Expansion of a Solution of a Linear Equation in Partial Derivatives for a Rectangular Framework.- §7 Skeletal Structures with Random Properties.- 9. Mathematics of Boundary-Layer Theory in Composite Materials.- §1. Problem on the Contact of Two Layered Media.- §2. The Boundary Layer for an Elliptic Equation Defined on a Half-Plane.- §3. The Boundary Layer Near the Interface of Two Periodic Structures.- §4. Problem on the Contact of Two Media Divided by a Thin Interlayer.- §5. The Boundary Layer for the Nonstationary System of Equations of Elasticity Theory.- §6. On the Ultimate Strength of a Composite.- §7. Boundary Conditions of Other Types.- §8. On the Averaging of Fields in Layer Media with Layers of Composite Materials.- §9. The Time Boundary Layer for the Cauchy Parabolic Problem.- Supplement: Existence and Uniqueness Theorems for the Problem on a Cell.
£999.99
Springer Mathematics and Control Engineering of Grinding Technology Ball Mill Grinding 38 Mathematics and its Applications
Book Synopsis1. Introduction.- Symbols used in the figures.- 2. Particle Size Distribution of Ground Material.- Definition of specific surface.- Summary of Chapter 2.- Symbol nomenclature in Chapter 2.- 3. The State Space Equations of Batch Grinding.- Determination of the elements of the comminution (size distribution) matrix.- Determination of the elements of breakage rate matrix.- Solution of the state equations.- Connection between the classical theory of grinding and the state equations.- Calculation of the specific surface.- Summary of Chapter 3.- Symbol nomenclature in Chapter 3.- 4. Modelling of Open Circuit Grinding.- Summary of Chapter 4.- Symbol nomenclature in Chapter 4.- 5. Material Flow Models of Closed Circuit Grinding.- Macrostructural models.- Dynamic particle size distribution models.- Summary of Chapter 5.- Symbol nomenclature in Chapter 5.- 6. Mathematical Model of the Classifier.- Problems of modelling the specific surface of the final product.- Summary of Chapter 6.- Symbol nomenclature in Chapter 6.- 7. Dynamic Models of the Chemical Composition of Ground Materials.- Modelling of homogenizing silos.- Batch silo.- Continuous silo.- Summary of Chapter 7.- Symbol nomenclature in Chapter 7.- 8. Advanced Control Systems for Grinding.- Composition control.- Control of the quantity produced.- Fineness control.- Summary of Chapter 8.- Symbol nomenclature in Chapter 8.- References.Table of Contents1. Introduction.- Symbols used in the figures.- 2. Particle Size Distribution of Ground Material.- Definition of specific surface.- Summary of Chapter 2.- Symbol nomenclature in Chapter 2.- 3. The State Space Equations of Batch Grinding.- Determination of the elements of the comminution (size distribution) matrix.- Determination of the elements of breakage rate matrix.- Solution of the state equations.- Connection between the classical theory of grinding and the state equations.- Calculation of the specific surface.- Summary of Chapter 3.- Symbol nomenclature in Chapter 3.- 4. Modelling of Open Circuit Grinding.- Summary of Chapter 4.- Symbol nomenclature in Chapter 4.- 5. Material Flow Models of Closed Circuit Grinding.- Macrostructural models.- Dynamic particle size distribution models.- Summary of Chapter 5.- Symbol nomenclature in Chapter 5.- 6. Mathematical Model of the Classifier.- Problems of modelling the specific surface of the final product.- Summary of Chapter 6.- Symbol nomenclature in Chapter 6.- 7. Dynamic Models of the Chemical Composition of Ground Materials.- Modelling of homogenizing silos.- Batch silo.- Continuous silo.- Summary of Chapter 7.- Symbol nomenclature in Chapter 7.- 8. Advanced Control Systems for Grinding.- Composition control.- Control of the quantity produced.- Fineness control.- Summary of Chapter 8.- Symbol nomenclature in Chapter 8.- References.
£999.99
Springer Theory of Fluid Flows Through Natural Rocks 3 Theory and Applications of Transport in Porous Media
Book SynopsisThe processes of the development of oil and gas deposits are of primary importance in the whole technological chain of oil and gas extraction from the rocks and their transportation to the customer.Table of Contents1. The Basic Physical Concepts and Models of Subterranean Fluid Mechanics.- 2. Classical Linear Models of the Flow of a Homogeneous Fluid Through Porous Media.- 3. Classical Nonlinear Models of Homogeneous Fluid Flow Through Porous Media.- 4. Nonclassical Models of the Flow of Homogeneous Fluids.- 5. Two-Phase Flow and Water-Oil Displacement.- 6. Physico-Chemical Hydrodynamics of Enhanced Oil Recovery.- References.
£999.99
Springer Evolution and Control in Biological Systems Proceedings of the IIASA Workshop Laxenburg Austria 30 November 4 December 1987
Book SynopsisI. Stability and Persistence for Ecological Models.- Stability Conditions for Two Predator One Prey Systems.- A Unified Approach to Persistence.- Reflections and Calculations on a Prey-Predator-Patch System Problem.- A Homotopy Technique for a Linear Generalization of Volterra Models.- Cooperative Systems Theory and Global Stability of Diffusion Models.- II. Selection and Evolutionary Games.- The n-Person War of Attrition.- Mutation-Selection Models in Population Genetics and Evolutionary Game Theory.- III. Demography for Structured Opulations.- Pair Formation in Age-Structured Populations.- The Markov Structure of Population Growth.- IV. Mathematical Models of the Immune Response.- On a Generalized Mathematical Model of the Immune Response.- Recent Results in Mathematical Modeling of Infectious Diseases.- Applications of the Mathematical Model of Immunological Tolerance to Immunoglobulin Suppression and AIDS.- Distribution of Recirculating Lymphocytes: A Stochastic Model Foundation.- V. Simulation and Control in Medicine.- Recent Progress in 3-D Computer Simulation of Tumor Growth and Treatment.- Mathematical Simulation of the Immunomodulating Role of Energy Metabolism in Support of Synergism and Antagonism of the Compartments of an Immune System.- Interleukin 2 and Immune Response Control Mathematical Model.Table of ContentsI. Stability and Persistence for Ecological Models.- Stability Conditions for Two Predator One Prey Systems.- A Unified Approach to Persistence.- Reflections and Calculations on a Prey-Predator-Patch System Problem.- A Homotopy Technique for a Linear Generalization of Volterra Models.- Cooperative Systems Theory and Global Stability of Diffusion Models.- II. Selection and Evolutionary Games.- The n-Person War of Attrition.- Mutation-Selection Models in Population Genetics and Evolutionary Game Theory.- III. Demography for Structured Opulations.- Pair Formation in Age-Structured Populations.- The Markov Structure of Population Growth.- IV. Mathematical Models of the Immune Response.- On a Generalized Mathematical Model of the Immune Response.- Recent Results in Mathematical Modeling of Infectious Diseases.- Applications of the Mathematical Model of Immunological Tolerance to Immunoglobulin Suppression and AIDS.- Distribution of Recirculating Lymphocytes: A Stochastic Model Foundation.- V. Simulation and Control in Medicine.- Recent Progress in 3-D Computer Simulation of Tumor Growth and Treatment.- Mathematical Simulation of the Immunomodulating Role of Energy Metabolism in Support of Synergism and Antagonism of the Compartments of an Immune System.- Interleukin 2 and Immune Response Control Mathematical Model.
£999.99
Springer Proceedings of the Second Workshop on RoadVehicleSystems and Related Mathematics 4 European Consortium for Mathematics in Industry
Book SynopsisJune 20-25, 1987, ISI Torino
£999.99
Springer Applied and Industrial Mathematics Venice 1 1989 Conference Proceedings Mathematics and Its Applications
Book SynopsisVenice-1 symposium on applied and industrial mathematics, 1989Table of ContentsI: Invited Papers.- - C. Cercignani, “Physical Problems and Rigorous Results in Kinetic Theory.- - A. Chorin, “Statistical Mechanics of Vortex Filaments” (abstract).- - Feng Kang, “The Hamiltonian Way for Computing Hamiltonian Dynamics”.- - C. W. Gear (with Fen-Lien Juang), “The Speed of Waveform Methods for ODEs”.- - J. B. Keller, “Diffusively Coupled Dynamical Systems”.- - P. D. Lax, “Deterministic Turbulence” (extended abstract).- - J. L. Lions, “Exact Controllability for Distributed Systems. Some Trends and Some Problems”.- - V. P. Maslov, “Beginning of Weakly Anisotropic Turbulence”.- - S. K. Mitter, “Markov Random Fields, Stochastic Quantization and Image Analysis”.- - H. Neunzert (with F. Gropengießer and J. Struckmeier),. “Computational Methods for the Boltzmann equation”.- - J. R. Ockendon, “A Class of Moving Boundary Problems Arising in Industry”.- - M. Primicerio, “Systems with Non-Fading Memory Encountered in the Modellization of Industrial Problems”.- - M. Pulvirenti, “A Stochastic Particle System Modelling the Broadwell Equation”.- -A. Quarteroni “(with A. Valli), “Theory and Application of Steklov-Poincare Operators for Boundary-Value Problems”.- - S. Rionero (with B. Straughan), “On the Problem of Natural Convection”.- II: Selected Contributed Papers.- 1. Mathematical Modelling in Fluid Mechanics.- - J. A. Nohel, “Non-Newtonian Phenomena in Shear Flow”.- - O. Pironneau (with C. Bernardi, M. O. Bristeau and M. G. Vallet), “Numerical Analysis for Compressible Viscous Isothermal Stationary Flows”.- - E. G. Virga (with D. Roccato), “Drops of Nematic Liquid Crystal Floating on a Fluid”.- 2. Nonlinear waves.- - S. Venakides, “The Korteweg-de Vries Equation with Small Dispersion: Higher Order Lax-Levermore Theory”.- - P. L. Christiansen, “Solitons in Optical Fibres”.- 3. Wave Propagation in Random Media.- - R. Burridge, “Waves in Finely Layered Media”.- - B. S. White (with Balan Nair), “Stochastic Geometry and the Intensity of Random Waves”.- - V. I. Klyatskin, “Plane Waves in Layered Random Media. The Role of Boundary Conditions”.- 4. Transport Phenomena.- - P. A. Markowich (with A. Arnold), “Quantum Transport Models for Semiconductors”.- - G. C. Pomraning, “Particle Transport in Random Media”.- 5. Inverse Problems in the Applied Sciences.- - G. Alessandrini, “Determining Conductivity by Boundary Measurements, the Stability Issue”.- - G. Caviglia (with A. Morro), “Scattering Problems for Acoustic Waves”.- - W.L. Dunn (with A. M. Yacout and F. O’Foghludha), “The Use of Single-Scatter Models in Medical Radiation Applications”.- 6. Mathematical Modelling of Industrial Problems.- - Li Tatsien (with Tan Yongji, Pen Yuejun and Li Hailong)“Mathematical Methods for the SP Well-Logging”.- - C.D. Hill (with P. Susskind and V. Giambalvo), “Effective Computation of the Symmetric Lens”.- - L. Brusa, “Mathematical Modelling of Structural Industrial Problems: Methodologies and Algorithms”.- Author Index.
£999.99
Springer Turbulence and Coherent Structures 2 Fluid Mechanics and Its Applications
Book SynopsisIn the last 25 years, one of the most striking advances in Fluid Mecha nics was certainly the discovery of coherent structures in turbulence: lab oratory experiments and numerical simulations have shown that most turbulent flows exhibit both spatially-organized large-scale structures and disorganized motions, generally at smaller scales.Table of ContentsRemarks on turbulence theory.- Hydrodynamic visualization of organized structures and turbulences in boundary layers, wakes, jets or propellor flows.- I. Free Shear Flows.- The emergence of characteristic (coherent?) motion in homogeneous turbulent shear flows.- Generation of coherent structures in free shear layers.- Use of the proper orthogonal decomposition in a plane turbulent mixing layer.- On the three-dimensional dynamics of coherent structures forming in free, shear flows.- Visualizations of helium jets in air.- Thermal striping: structures in interacting jets.- II. Boundary Layers.- Three-dimensional aspects of the organized motion in a turbulent boundary layer.- Large-eddy simulation of boundary layers with a step change in pressure gradient.- III. Fundamentals.- Intermittent structure of dissipation in isotropic turbulence viewed from a direct simulation.- The spatial structure of homogeneous turbulence at Reynolds numbers around 1000.- Wavelet analysis of fully developed turbulence data and measurements of scaling exponents.- How solenoidal can be the Lamb vector in turbulent flow? Consequences and implications.- IV. Chaos and Instablity.- Bifurcations and bursting of streaks in the turbulent wall layer.- The dynamics of organized structures in the axisymmetric jet mixing layer.- Instability of the rectangular duct flow and generation of the secondary flow.- V. Vortex Breakdown.- Vortex breakdown: a coherent transition trigger in concentrated vortices.- Numerical simulation of vortex breakdown via 3-D Euler equations.- VI. Two-dimensional Turbulence.- The coherent vortices of two-dimensional and geostrophic turbulence.- Experiments on forced, quasi-two-dimensional turbulence at upwelling fronts.- Merging of two-layer baroclinic vortices.- Transmission of acoustic waves through mixing layers and 2D isotropic turbulence.- VII. Geophysical Fluid Dynamics.- Spectra and correlation functions of surface layer atmospheric turbulence in unstable thermal stratification.- Organized structures in strongly stratified flows.- Fossile and active turbulence.- Coherent structures in stratified turbulent shear flows deduced from direct simulations.- Influence of a shear on a stably-stratified flow.- Gravity wave patterns in the wake of a sphere in a stratified fluid.- VIII. Compressible and Reacting Flows.- The compressible mixing layer.- Numerical simulations of supersonic plane Couette flow instability.- Reactive scalar as a tracer of organized structures in turbulent mixing layers.- IX. MHD Turbulence.- Large-eddy simulation of MHD turbulent channel flow under a uniform magnetic field.- Coherent structures in MHD turbulence and turbulent dynamo.- List of Participants.- Author Index.- Colour Plates.
£999.99
Springer ThreeDimensional Elastic Bodies in Rolling
Book SynopsisThis book is intended for mechanicians, engineering mathematicians, and, generally for theoretically inclined mechanical engineers. I did not think that the surface of the problem had even been scratched, so I joined de Pater, who had by then become Professor in the Engineering Mechanics Lab.Trade Review` This book clearly reflects such twofold remarkable expertise of the author and is recommended to all research workers in the title area. 'Table of Contents1 The Rolling Contact Problem.- 2 Review.- 3 The Simplified Theory of Contact.- 4 Variational and Numerical Theory of Contact.- 5 Results.- 6 Conclusion.- Appendix A The basic equations of the linear theory of elasticity.- Appendix B Some notions of mathematical programming.- Appendix C Numerical calculation of the elastic field in a half-space.- Appendix D Three-dimensional viscoelastic bodies in steady state frictional rolling contact with generalisation to contact perturbations.- Appendix E Tables.
£999.99
Springer The RAINS Model of Acidification Science and Strategies in Europe Nonlinear Topices in the Mathematical
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£999.99
Springer Solitons in Molecular Systems 61 Mathematics and its Applications
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Springer Instabilities and Nonequilibrium Structures III Workshop Proceedings 64 Mathematics and Its Applications
Book SynopsisProceedings of the 3rd Workshop on Instabilities and Nonequilibrium StructuresTable of ContentsTable of Content.- I. Dynamical Systems and Statistical Mechanics.- Fast Dynamo for Some Anosov Flows.- How Horseshoes Are Created.- Fine Structure of Universal Cantor Sets.- Hamiltonian Chaos in a Laser Damage Model.- Periodic Modulation of a Logistic Oscillator.- Quantum Spin Chains with Residual Entropy.- Quantum Fluctuations and Linear Response Theory.- Non-Commutative Large Deviations and Applications.- Squeezing in the Su(1,1) Group.- Full Scaling and Real-Space Renormalization.- Sand Piles, Combinatorial Games and Cellular Automata.- II. Stochastic Effects on Dynamical Systems.- Nonequilibrium Potentials in Spatially Extended Pattern Forming Systems.- Passage Time Description of Dynamical Processes.- Stochastic Processes Driven by Colored Noise: A Path Integral Point of View.- Effect of Noise on a Hopf Bifurcation.- Some Properties of Quasi Stationary Distributions in the Birth and Death Chains: A Dynamical Approach.- Photon Noise Reduction in Light Sources.- III. Instabilities in Nonequilibrium Systems.- Spatio-Temporal Properties of Centrifugal Instabilities.- Shape of Stationary and Travelling Cells in The Printer’s Instability.- Secondary Instability of Cellular Structures in Directional Solidification.- Velocity Field Structure and Semiquantitative Analysis Of Tracer Dispersion in a Taylor-Vortex Flow of Wide Gap.- Lasers as a Test Bench for Theories of Non-Equilibrium Structures.- Mean Field Theory of Canonical Spinodal Instabilities.- Periodic (Layered) Structures under Constraint.- Transitions Between Patterns of Different Symmetries.- Direct Simulation of Three-Dimensional Turbulence.- Transition Between Different Symmetries in Convection.- Shallow Surface Waves in a Convecting Fluid.- An Exact Model of Resistive Convection in a Cylindrical Plasma.- Energy Method in the Stability of Viscoelastic Fluid.- Solitary Waves, Topological Defects and Their Interactions in Systems with Translational and Galilean Invariance.- Dynamics of Nonlinear SchrÖDinger Defects in Three Dimensions.- Dynamics of Spiral Defects in Two Dimensional Extendedsystems.- Fragmentation.- Qualitative Theory of Defects in Non-Equilibrium Systems.
£999.99
Springer Mathematical Models in Electrical Circuits Theory and Applications 66 Mathematics and Its Applications
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Springer Electromagnetic Modelling and Measurements for Analysis and Synthesis Problems Proceedings 199 Nato Science Series E
Book SynopsisProceedings of the NATO Advanced Study Institute, Il Ciocco, Castelvecchio Pascoli, Lucca, Italy, 10-21 August 1987Table of Contents1 Beam-Forming Applications of Polynomials with Restricted Coefficients.- 2 Antenna Diagnosis by Microwave Holographic Metrology.- 3 Large Antenna Experiments Aboard the Space Shuttle— Application of Nonuniform Sampling Techniques.- 4 Optimal Angular Coordinate Measurements By Optical Location.- 5 General Covariance of the Electromagnetic Field Applied to E.M. Field Transformations.- 6 Complex-Source-Point Theory and the Open Resonator.- 7 Synthesis and Analysis of Reflector Antennas for Shaped Beams.- 8 A Scheme to Analyze Problems of Resonant Size Using the Conjugate-Gradient Method and the Fast Fourier Transform.- 9 A Method to Analyze Scattering from General Periodic Screens Using Fast Fourier Transform and Conjugate Gradient Method.- 10 The Application of the Conjugate Gradient Method for the Solution of Operator Equations in Electromagnetics.- 11 A Spectral Approach to Transient Propagation.- 12 Model-Based Parameter-Estimation Applications in Electromagnetics.- 13 Selected Applications of Method of Moments Modelling.- 14 Basic Principles of Radar Polarimetry and its Applications to Target Recognition Problems with Assessments of the Historical Development and of the Current State of the Art.- 15 Microwave Diversity Imaging and Automated Target Recognition Based on Models of Neural Networks.- 16 The Direct Scattering of Electromagnetic Waves by One-and Two-Dimensional Objects and its Use for Inverse Profiling.- 17 Signature Creation in Pattern Recognition for Infra-Red and Possibly for Microwave Systems.
£999.99
Springer Proceedings of the Fifth European Conference on Mathematics in Industry 7 European Consortium for Mathematics in Industry
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Springer Stability and Oscillations in Delay Differential Equations of Population Dynamics 74 Mathematics and Its Applications
Book Synopsis1. The Delay Logistic Equation.- 2. Delay Induced Bifurcation to Periodicity.- 3. Methods of Linear Analysis.- 4. Global Attractivity.- 5. Models of Neutral Differential Systems.- References.Table of Contents1. The Delay Logistic Equation. 2. Delay Induced Bifurcation to Periodicity. 3. Methods of Linear Analysis. 4. Global Attractivity. 5. Models of Neutral Differential Systems. References. Index.
£999.99
Springer Systolic Computations 83 Mathematics and its Applications
Book SynopsisThis monograph covers a method of parallel computing which uses VLSI technology in an efficient manner: data are fed to the cells of a systolic processor and results are obtained instantly. Some theoretical and algorithmic questions which arise in the design of hardware and software are considered.Table of ContentsPreface. 1. VLSI Models. 2. The Complexity of VLSI Computations. 3. Systolic Algorithms and Systolic Processors. 4. The Systolic Programming. Appendix 1: Library of Systolic Algorithms. Appendix 2: The Grammar of the SPL References. Index.
£999.99
Springer Applied Theory of Functional Differential Equations 85 Mathematics and its Applications
Book Synopsis1. Models.- 1. Formal prerequisites.- 2. Aftereffect in mechanics.- 3. Hereditary phenomena in physics.- 4. Models with delays in technical problems.- 5. Aftereffect in biology.- 6. Aftereffect in medicine.- 7. Aftereffect in economy and other sciences.- 2. General theory.- 1. Introduction. Method of steps.- 2. Cauchy problem for RDEs.- 3. Cauchy problem for NDEs.- 4. Differential inclusions of retarded type (RDIs).- 5. General linear equations with aftereffect.- 6. Linear autonomous equations.- 7. Hopf bifurcation.- 8. Stocnastic retarded differential equations (SRDEs).- 3. Stability of retarded differential equations.- 1. Liapunov's direct method.- 2. Linear autonomous equations.- 4. Stability of neutral type functional differential equations.- 1. Direct Liapunov's method.- 2. Stability of linear autonomous equations.- 5. Stability of stochastic functional differential equations.- 1. Statement of the problem.- 2. Liapunov's direct method.- 3. Boundedness of moments of solutions.- 6. Problems of control for deterministic FDEs.- 1. The dynamic programming method for deterministic equations. Bellman's equation.- 2. Linear quadratic problems.- 3. Optimal control of bilinear hereditary systems.- 4. Control problems with phase constraint formula.- 5. Necessary optimality conditions.- 7. Optimal control of stochastic delay systems.- 1. Dynamic programming method for controlled stochastic hereditary processes.- 2. The linear quadratic problem.- 3. Approximate optimal control for systems with small parameters.- 4. Another approach to the problem of optimal synthesis control.- 8. State estimates of stochastic systems with delay.- 1. Filtering of Gaussian processes.- 2. Filtering of solutions of Itô equations with delay.Table of ContentsPreface. 1. Models. 2. General Theory. 3. Stability of Retarded Differential Equations. 4. Stability of Neutral Type Functional Differential Equations. 5. Stability of Stochastic Functional Differential Equations. 6. Problems of Control for Deterministic FEDs. 7. Optimal Control of Stochastic Delay Systems. 8. State Estimates of Stochastic Systems with Delay. Bibliography. Index.
£999.99
Springer Wave Kinematics and Environmental Forces Papers presented at a conference organized by the Society for Underwater Technology and held in London Ocean Science and Offshore Engineering
Book SynopsisPresents the proceedings of an international conference held on 24-25 March, 1993 in London under the auspices of the Society for Underwater Technology. This book is suitable for engineers and scientists interested in the advances in research and development in the determination of environmental forces on offshore and coastal structures.Table of ContentsSession One: Wave Kinematics. 1. Technical Update and Field Data from the New Generation Microwave Directional Wave Radar; S.J. Archer. 2. Wave Kinematics, Measurement, Modelling and Application; J.S. Buchan. 3. Nonlinear Wave Current Interactions; I. Cummins, C. Swan. 4. Effects of a Shear Current on Wind Induced Waves; A.K. Magnusson. 5. Uncertainties in Prediction of Wave Kinematics in Irregular Waves; O.T. Gudmestad, S. Haver. 6. Wave Kinematics on Sheared Currents; D.J. Skyner, W.J. Easson. 7. Laboratory Wave Generation Correct to Second Order; H.A. Schäffer. Session Two: Fluid Loading. 8. Comparison of Loads Predicted by a New Wave Theory with Measurements on the Tern Structure; J. Rozario, P.S. Tromans, M. Efthymiou, P.H. Taylor. 9. Wave Loading Model Tests on a Gravity Base Structure; J.J. Murray, L.M. Mak. 10. Added Hydrodynamic Loading Due to Sacrificial Anodes; M.J. Downie, B.A. Murray, P. Bettes. 11. The Vortex Induced Vibration of Marine Risers in Sheared and Critical Flows; G. Jones, W.S. Lamb. 12. Suppression of Vortex Shedding from Satellite Risers in a Current; M.M. Zdravkovich, J.l. Baldaro. Session Three: Coastal Conditions. 13. Review of Wave Breaking in Shallow Water; H.N. Southgate, H.R. Wallingford. 14. Three-Dimensional Breaking Wave Kinematics; K. She, C.A. Greated, W.J. Easson. 15. Environmental Forces at the Coastline and Implications for Coastal Defence; N.W. Beech, J.L. Andrews. 16. Full Field Study of Post Breaking Vorticity; S.Lloyd, C.A. Greated, W.J. Easson. 17. Multigrid Model of Wave-Current Interaction; Bin Li. 18. Variation in Beach Profiles in Hell's Mouth Bay, Llyn Peninsula for the Period 1979-1981; J. Darbyshire.
£999.99
Springer Advanced Multibody System Dynamics Simulation and Software Tools 20 Solid Mechanics and Its Applications
Book SynopsisThe German Research Council (DFG) decided 1987 to establish a nationwide five year research project devoted to dynamics of multibody systems.Table of ContentsHigh Speed Multibody Dynamic Simulation and its Impact on Man-Machine Systems.- An Object-Oriented Data Model for Multibody Systems.- Block-Oriented Modelling of Rigid Multibody Systems With Regard to Subsystem Techniques.- A Software Environment for Analysis and Design of Multibody Systems.- CAD Modelling, Multibody System Formalisms and Visualization — An Integrated Approach.- The Benefits of Parallel Multibody Simulation and its Application to Vehicle Dynamics.- Recent Advances in the Numerical Integration of Multibody Systems.- Symbolical Programming in System Dynamics.- Dynamic Analysis of Complex Multibody Systems Using Methods for Differential-Algebraic Equations.- Multibody Systems with Rigid-Elastic Subsystems.- On the Dynamics of Multibody Systems With Elastic Beams.- Approximate Analysis of Flexible Parts in Multibody Systems Using the Finite Element Method.- Modelling of Viscoelastic Elastomer Mounts in Multibody Systems.- Simulation of Failure Scenarios for Movable Steel Structures.- Optimal Positioning of Viscous Dampers in Linear Multibody Systems.- Signal Analysis in Multibody Systems.- Computational Aspects of the Finite Element Approach to Flexible Multibody Systems.- DYNAMITE: Multibody Dynamics via Projection Method.- ACIDYM, a Modular Software for Computer-Aided Learning of Kinematic and Dynamic Analysis of Multibody Systems.- VDAS — A Toolkit Approach to Vehicle System Simulation.- ROBOTRAN: Symbolic Generation of Multi-Body System Dynamic Equations.- SMS: An Easy-To-Use 3D-Simulation Package for CIM.- Two Different Methods for Simulating the Motion of Variable-Mass Multibody Systems.- Simulation of the Dynamic Behaviour of Complex Multiaxle Systems with Controlled Driving Axes.- ODE Formulations for Multibody Dynamics: Numerical Aspects.- Deployment Kinematics and Dynamics Simulations of Large Reflectors.- Determination of Dynamic Stresses by Multibody Dynamic Models Incorporating Flexible Body Analysis — Applications of DADS.- Dynamic Analysis of Constrained Multibody Systems in Orthonormalized Tangent Space.- An Overview of MEXX: Numerical Software for Integration of Multibody Systems.- A Parameter Estimation Method for Multibody Systems with Constraints.- Boundary Element Methods for Contact Problems.- Integration of Recursive Equations of Motion for Multibody Systems with Loops.- Standard Input Data of Flexible Members in Multibody Systems.- Constrained Mechanical Systems in Descriptor Form: Identification, Simulation and Control.- Parameter Identification of Nonlinear Descriptor Systems.- Control Analysis and Synthesis of Linear Mechanical Descriptor Systems.- An Extended Descriptor Form for the Simulation of Constrained Mechnical Systems.
£999.99
