Mathematical modelling Books
Cambridge University Press Mathematical Aspects of HodgkinHuxley Neural Theory 7 Cambridge Studies in Mathematical Biology Series Number 7
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.
£94.99
Cambridge University Press Efficient Parallel Algorithms
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£45.59
Cambridge University Press Colloidal Dispersions
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£89.29
Cambridge University Press Lectures on Mechanics 174 London Mathematical Society Lecture Note Series Series Number 174
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£58.89
Cambridge University Press Modelling with Differential and Difference Equations 10 Australian Mathematical Society Lecture Series Series Number 10
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£94.99
Cambridge University Press Modelling Biological Populations in Space and Time 11 Cambridge Studies in Mathematical Biology Series Number 11
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£78.84
Cambridge University Press Solar and planetary dynamos proceedings of a NATO Advanced Study Institute held at the Isaac Newton Institute Cambridge September 1992
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£128.25
Cambridge University Press Evol AgeStructured Populations 2ed 14 Cambridge Studies in Mathematical Biology Series Number 14
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£48.44
Cambridge University Press Mathematical Models in the Applied Sciences
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£65.54
Cambridge University Press Lectures Solar Planetary Dynamos 2 Publications of the Newton Institute Series Number 2
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£46.54
Cambridge University Press The Atmospheric Boundary Layer Cambridge Atmospheric and Space Science Series
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.
£84.90
Cambridge University Press The Theory of the Chemostat
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£105.45
Cambridge University Press Randomized Algorithms
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.
£67.44
Cambridge University Press Mathematical Models in Biology An Introduction
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.
£55.09
Cambridge University Press Algorithmic Geometry
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£54.14
Cambridge University Press A Shorter Model Theory
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.
£59.84
Cambridge University Press An Introduction to the Mathematics of Neurons Modeling in the Frequency Domain 6 Cambridge Studies in Mathematical Biology Series Number 6
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£88.34
Cambridge University Press Stochastic Frontier Analysis
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£37.99
Cambridge University Press Applied Solid Mechanics 43 Cambridge Texts in Applied Mathematics Series Number 43
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£44.64
Cambridge University Press Weather Prediction by Numerical Process Cambridge Mathematical Library
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£64.59
Cambridge University Press Advances in Economics and Econometrics Volume 3 Theory and Applications Ninth World Congress Econometric Society Monographs Series Number 43
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£34.19
Cambridge University Press Partisan Families
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£24.99
Cambridge University Press Epidemics and Rumours in Complex Networks 369 London Mathematical Society Lecture Note Series Series Number 369
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£57.94
Cambridge University Press Stochastic Physics and Climate Modelling
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£128.25
Cambridge University Press Matrix Methods in the Design Analysis of Mechanisms and Multibody Systems
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£61.74
Cambridge University Press Model Theory Algebra and Geometry 39 Mathematical Sciences Research Institute Publications Series Number 39
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£105.45
Cambridge University Press Asymmetric Information in Financial Markets
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£90.24
Cambridge University Press Asymmetric Information in Financial Markets
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£33.24
Cambridge University Press Elements of Mathematical Ecology
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£144.40
Cambridge University Press Calculated Bets
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£71.31
Cambridge University Press Mathematical Models in Biology An Introduction
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£122.55
Cambridge University Press Nonlinear Modeling and Analysis of Solids and Structures
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£84.54
Cambridge University Press Branching Processes Variation Growth and Extinction of Populations Cambridge Studies in Adaptive Dynamics Series Number 5
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£132.05
Cambridge University Press Dynamic Data Assimilation A Least Squares Approach 104 Encyclopedia of Mathematics and its Applications Series Number 104
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£177.65
Cambridge University Press Nonlinear Analysis and Semilinear Elliptic Problems 104 Cambridge Studies in Advanced Mathematics Series Number 104
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£76.94
Cambridge University Press Risk Modelling in General Insurance
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£47.49
Cambridge University Press Women and the Genesis of Christianity
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£57.94
Cambridge University Press Advances in Economics and Econometrics Volume 3 Theory and Applications Ninth World Congress Econometric Society Monographs Series Number 43
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£55.10
Cambridge University Press Percolation
Book SynopsisIn this book, first published in 2006, the authors' main aims are first to present classical results in a way that's accessible to non-specialists. Second, to describe results of Smirnov in conformal invariance. It is essential reading for all working in this exciting area.Trade Review'This book contains a complete account of most of the important results in the fascinating area of percolation. Elegant and straightforward proofs are given with minimal background in probability or graph theory. It is self-contained, accessible to a wide readership and widely illustrated with numerous examples. It will be of considerable interest for both beginners and advanced searchers alike.' Zentralblatt MATHTable of ContentsPreface; 1. Basic concepts; 2. Probabilistic tools; 3. Percolation on Z2 - the Harris-Kesten theorem; 4. Exponential decay and critical probabilities - theorems of Menshikov and Aizenman & Barsky; 5. Uniqueness of the infinite open cluster and critical probabilities; 6. Estimating critical probabilities; 7. Conformal invariance - Smirnov's theorem; 8. Continuum percolation; Bibliography; Index; List of notation.
£71.24
Cambridge University Press Partisan Families
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£44.65
Cambridge University Press Hilbert Transforms Volume 1 124 Encyclopedia of Mathematics and its Applications Series Number 124
Book SynopsisWritten to suit a wide audience (including physical sciences), these two volumes will become the reference of choice on the Hilbert transform, whatever the subject background of the reader. The author explains all the common Hilbert transforms, mathematical techniques for evaluating them, and has detailed discussions of their application.Trade Review"The author gives detailed and exhaustive information on almost all properties of the Hilbert transform... the selected topics are presented in an easy-to-use style." Lasha Ephremidze, Mathematical ReviewsTable of ContentsPreface; List of symbols; List of abbreviations; Volume I: 1. Introduction; 2. Review of some background mathematics; 3. Derivation of the Hilbert transform relations; 4. Some basic properties of the Hilbert transform; 5. Relationship between the Hilbert transform and some common transforms; 6. The Hilbert transform of periodic functions; 7. Inequalities for the Hilbert transform; 8. Asymptotic behavior of the Hilbert transform; 9. Hilbert transforms of some special functions; 10. Hilbert transforms involving distributions; 11. The finite Hilbert transform; 12. Some singular integral equations; 13. Discrete Hilbert transforms; 14. Numerical evaluation of Hilbert transforms; References; Subject index; Author index.
£127.30
Cambridge University Press Spiking Neuron Models Single Neurons Populations Plasticity
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£59.84
Cambridge University Press Numerical Methods in Physics with Python
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£104.50
Cambridge University Press A First Guide to Computational Modelling in Physics
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£56.99
Cambridge University Press Quantum Mechanics through Problems
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£56.99
Cambridge University Press Quantum Mechanics through Problems
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£126.00
Cambridge University Press Nonlinear Dispersive Waves Asymptotic Analysis and Solitons 47 Cambridge Texts in Applied Mathematics Series Number 47
Book SynopsisThe field of nonlinear dispersive waves has developed enormously since the work of Stokes, Boussinesq and Kortewegâde Vries (KdV) in the nineteenth century. In the 1960s, researchers developed effective asymptotic methods for deriving nonlinear wave equations, such as the KdV equation, governing a broad class of physical phenomena that admit special solutions including those commonly known as solitons. This book describes the underlying approximation techniques and methods for finding solutions to these and other equations. The concepts and methods covered include wave dispersion, asymptotic analysis, perturbation theory, the method of multiple scales, deep and shallow water waves, nonlinear optics including fiber optic communications, mode-locked lasers and dispersion-managed wave phenomena. Most chapters feature exercise sets, making the book suitable for advanced courses or for self-directed learning. Graduate students and researchers will find this an excellent entry to a thriving Trade Review'[This] is an up-to-date teaching resource that will prepare students for work in nonlinear waves as the subject appears today in applications, especially in nonlinear optics. It is clear that Mark Ablowitz's book is a welcome addition to the literature that will be particularly useful to anyone planning a course on nonlinear waves.' Peter D. Miller, SIAM NewsTable of ContentsPreface; Acknowledgements; Part I. Fundamentals and Basic Applications: 1. Introduction; 2. Linear and nonlinear wave equations; 3. Asymptotic analysis of wave equations; 4. Perturbation analysis; 5. Water waves and KdV type equations; 6. Nonlinear Schrödinger models and water waves; 7. Nonlinear Schrödinger models in nonlinear optics; Part II. Integrability and Solitons: 8. Solitons and integrable equations; 9. Inverse scattering transform for the KdV equation; Part III. Novel Applications of Nonlinear Waves: 10. Communications; 11. Mode-locked lasers; 12. Nonlinear photonic lattices; References; Index.
£122.55
Cambridge University Press Nonlinear Solid Mechanics for Finite Element Analysis Dynamics
Book SynopsisDesigning engineering components that make optimal use of materials requires consideration of the nonlinear static and dynamic characteristics associated with both manufacturing and working environments. The modeling of these characteristics can only be done through numerical formulation and simulation, which requires an understanding of both the theoretical background and associated computer solution techniques. By presenting nonlinear solid mechanics, dynamic conservation laws and principles, and the associated finite element techniques together, the authors provide in this second book a unified treatment of the dynamic simulation of nonlinear solids. Alongside a number of worked examples and exercises are user instructions, program descriptions, and examples for two MATLAB computer implementations for which source codes are available online. While this book is designed to complement postgraduate courses, it is also relevant to those in industry requiring an appreciation of the way tTrade Review'… the software can be useful to readers in testing different options of the codes, building their own simple examples, and acquiring some additional experience and knowledge about continuum mechanics and numerical methods for their simulations.' Josip Tambaca, Society for Industrial and Applied Mathematics ReviewTable of Contents1. Introduction; 2. Dynamic analysis of 3-D trusses; 3. Dynamic equilibrium of deformable solids; 4. Discretization and solution; 5. Conservation laws in solid dynamics; 6. Thermodynamics; 7. Space and time discretization of conservation laws in solid dynamics; 8. Computer implementation for displacement-based dynamics; 9. Computational implementation for conservation-law-based explicit fast dynamics; Appendix. Shocks; Bibliography; Index.
£50.34