Cambridge Texts in Applied Mathematics – serie
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96 produkter
Numerical Linear Algebra
An Introduction
Häftad, 2017
599 kr
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This self-contained introduction to numerical linear algebra provides a comprehensive, yet concise, overview of the subject. It includes standard material such as direct methods for solving linear systems and least-squares problems, error, stability and conditioning, basic iterative methods and the …
Complex Variables
Introduction and Applications
Av Mark J. Ablowitz, Athanassios S. Fokas
Häftad, 2003
1270 kr
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Complex variables provide powerful methods for attacking problems that can be very difficult to solve in any other way, and it is the aim of this book to provide a thorough grounding in these methods and their application. Part I of this text provides an introduction to the subject, including …
Singularities: Formation, Structure, and Propagation
Häftad, 2015
749 kr
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Many key phenomena in physics and engineering are described as singularities in the solutions to the differential equations describing them. Examples covered thoroughly in this book include the formation of drops and bubbles, the propagation of a crack and the formation of a shock in a gas. Aimed …
Introduction to Complex Variables and Applications
Av Mark J. Ablowitz, Athanassios S. Fokas
Häftad, 2021
740 kr
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The study of complex variables is beautiful from a purely mathematical point of view, and very useful for solving a wide array of problems arising in applications. This introduction to complex variables, suitable as a text for a one-semester course, has been written for undergraduate students in …
Finite Volume Methods for Hyperbolic Problems
Av Randall J. LeVeque, D. G. Crighton
Häftad, 2002
1270 kr
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This book, first published in 2002, contains an introduction to hyperbolic partial differential equations and a powerful class of numerical methods for approximating their solution, including both linear problems and nonlinear conservation laws. These equations describe a wide range of wave …
Introduction to Hydrodynamic Stability
Av P. G. Drazin
Häftad, 2002
908 kr
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Instability of flows and their transition to turbulence are widespread phenomena in engineering and the natural environment, and are important in applied mathematics, astrophysics, biology, geophysics, meteorology, oceanography and physics as well as engineering. This is a textbook to introduce …
A First Course in Combinatorial Optimization
Av Jon Lee, D. G. Crighton m. fl.
Häftad, 2004
780 kr
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A First Course in Combinatorial Optimization is a text for a one-semester introductory graduate-level course for students of operations research, mathematics, and computer science. It is a self-contained treatment of the subject, requiring only some mathematical maturity. Topics include: linear and …
Theory of Vortex Sound
Av M. S. Howe
Häftad, 2002
621 kr
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The book is an introduction to the branch of fluid mechanics concerned with the production of sound by hydrodynamic flows. It is designed for a one semester introductory course at advanced undergraduate or graduate level. Great care is taken to explain underlying fluid mechanical and acoustic …
Bäcklund and Darboux Transformations
Geometry and Modern Applications in Soliton Theory
Häftad, 2002
976 kr
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This book describes the remarkable connections that exist between the classical differential geometry of surfaces and modern soliton theory. The authors also explore the extensive body of literature from the nineteenth and early twentieth centuries by such eminent geometers as Bianchi, Darboux, …
Hydrodynamic Instabilities
Häftad, 2011
1302 kr
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The instability of fluid flows is a key topic in classical fluid mechanics because it has huge repercussions for applied disciplines such as chemical engineering, hydraulics, aeronautics, and geophysics. This modern introduction is written for any student, researcher, or practitioner working in the …
A Physical Introduction to Suspension Dynamics
Av Élisabeth Guazzelli, Jeffrey F. Morris
Häftad, 2011
732 kr
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Understanding the behaviour of particles suspended in a fluid has many important applications across a range of fields, including engineering and geophysics. Comprising two main parts, this book begins with the well-developed theory of particles in viscous fluids, i.e. microhydrodynamics, …
Iterative Methods in Combinatorial Optimization
Av Lap Chi Lau, R. Ravi m. fl.
Häftad, 2011
813 kr
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With the advent of approximation algorithms for NP-hard combinatorial optimization problems, several techniques from exact optimization such as the primal-dual method have proven their staying power and versatility. This book describes a simple and powerful method that is iterative in essence and …
A Physical Introduction to Suspension Dynamics
Av Élisabeth Guazzelli, Jeffrey F. Morris
Inbunden, 2011
1905 kr
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Understanding the behaviour of particles suspended in a fluid has many important applications across a range of fields, including engineering and geophysics. Comprising two main parts, this book begins with the well-developed theory of particles in viscous fluids, i.e. microhydrodynamics, …
Solitons
An Introduction
Av P. G. Drazin, R. S. Johnson m. fl.
Häftad, 1989
813 kr
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This textbook is an introduction to the theory of solitons and its diverse applications to nonlinear systems that arise in the physical sciences. The authors explain the generation and properties of solitons, introducing the mathematical technique known as the Inverse Scattering Transform. Their …
Integral Equations: A Practical Treatment, from Spectral Theory to Applications
Av David Porter, David S. G. Stirling
Häftad, 1990
878 kr
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This book gives a rigorous and practical treatment of integral equations. These are significant because they occur in many problems in mathematics, physics and engineering and they offer a powerful (sometimes the only) technique for solving these problems. The book aims to tackle the solution of …
Maximum and Minimum Principles
A Unified Approach with Applications
Av M. J. Sewell, C. G. Crighton
Häftad, 1987
1058 kr
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In many problems of applied mathematics, science, engineering or economics, an energy expenditure or its analogue can be approximated by upper and lower bounds. This book provides a unified account of the theory required to establish such bounds, by expressing the governing conditions of the …
The Kinematics of Mixing
Stretching, Chaos, and Transport
Av J. M. Ottino, D. G. Crighton
Häftad, 1989
1302 kr
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In spite of its universality, mixing is poorly understood and generally speaking, mixing problems are attacked on a case-by-case basis. This is the first book to present a unified treatment of the mixing of fluids from a kinematical viewpoint. The author's aim is to provide a conceptually clear …
Perturbation Methods
Av E. J. Hinch, D. G. Crighton m. fl.
Häftad, 1991
748 kr
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Perturbation methods are one of the fundamental tools used by all applied mathematicians and theoretical physicists. In this book, the author has managed to present the theory and techniques underlying such methods in a manner which will give the text wide appeal to students from a broad range of …
Nonlinear Wave Processes in Acoustics
Av K. Naugolnykh, L. Ostrovsky
Inbunden, 1998
1918 kr
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The investigation of nonlinear phenomena in acoustics has a rich history stretching back to the mechanical physical sciences in the nineteenth century. The study of nonlinear phenomena, such as explosions and jet engines, prompted the sharp growth of interest in nonlinear acoustic phenomena. The …
The Thermomechanics of Plasticity and Fracture
Inbunden, 1992
1905 kr
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This book concentrates upon the mathematical theory of plasticity and fracture as opposed to the physical theory of these fields, and is presented in the thermomechanical framework. It follows the macroscopic, phenomenological approach which proposes equations abstracted from generally accepted …
The Thermomechanics of Plasticity and Fracture
Av Gerard A. Maugin, D. G. Crighton
Häftad, 1992
1025 kr
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This book concentrates upon the mathematical theory of plasticity and fracture as opposed to the physical theory of these fields, and is presented in the thermomechanical framework. It follows the macroscopic, phenomenological approach which proposes equations abstracted from generally accepted …
Nonlinear Wave Processes in Acoustics
Av K. Naugolnykh, L. Ostrovsky m. fl.
Häftad, 1998
1074 kr
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The investigation of nonlinear phenomena in acoustics has a rich history stretching back to the mechanical physical sciences in the nineteenth century. The study of nonlinear phenomena, such as explosions and jet engines, prompted the sharp growth of interest in nonlinear acoustic phenomena. The …
Boundary Integral and Singularity Methods for Linearized Viscous Flow
Av C. Pozrikidis, D. G. Crighton m. fl.
Inbunden, 1992
2720 kr
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This book presents a coherent introduction to boundary integral, boundary element and singularity methods for steady and unsteady flow at zero Reynolds number. The focus of the discussion is not only on the theoretical foundation, but also on the practical application and computer implementation. …
Nonlinear Systems
Av P. G. Drazin, D. G. Crighton m. fl.
Häftad, 1992
1074 kr
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The theories of bifurcation, chaos and fractals as well as equilibrium, stability and nonlinear oscillations, are part of the theory of the evolution of solutions of nonlinear equations. A wide range of mathematical tools and ideas are drawn together in the study of these solutions, and the results …
Boundary Integral and Singularity Methods for Linearized Viscous Flow
Av C. Pozrikidis, M. J. Ablowitz m. fl.
Häftad, 1992
797 kr
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This book presents a coherent introduction to boundary integral, boundary element and singularity methods for steady and unsteady flow at zero Reynolds number. The focus of the discussion is not only on the theoretical foundation, but also on the practical application and computer implementation. …
Stability, Instability and Chaos
An Introduction to the Theory of Nonlinear Differential Equations
Häftad, 1994
1253 kr
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By providing an introduction to nonlinear differential equations, Dr Glendinning aims to equip the student with the mathematical know-how needed to appreciate stability theory and bifurcations. His approach is readable and covers material both old and new to undergraduate courses. Included are …
Scaling, Self-similarity, and Intermediate Asymptotics
Dimensional Analysis and Intermediate Asymptotics
Av Grigory Isaakovich Barenblatt
Häftad, 1996
1367 kr
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Scaling laws reveal the fundamental property of phenomena, namely self-similarity - repeating in time and/or space - which substantially simplifies the mathematical modelling of the phenomena themselves. This book begins from a non-traditional exposition of dimensional analysis, physical similarity …
Applied Analysis of the Navier-Stokes Equations
Av Charles R. Doering, J. D. Gibbon
Häftad, 1995
895 kr
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The Navier-Stokes equations are a set of nonlinear partial differential equations comprising the fundamental dynamical description of fluid motion. They are applied routinely to problems in engineering, geophysics, astrophysics, and atmospheric science. This book is an introductory physical and …
Viscous Flow
Av H. Ockendon, J. R. Ockendon m. fl.
Inbunden, 1995
797 kr
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Many of the topics in inviscid fluid dynamics are not only vitally important mechanisms in everyday life but they are also readily observable without any need for instrumentation. It is therefore stimulating when the mathematics that emerges when these phenomena are modelled is novel and suggestive …
Viscous Flow
Av H. Ockendon, J. R. Ockendon
Häftad, 1995
487 kr
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Many of the topics in inviscid fluid dynamics are not only vitally important mechanisms in everyday life but they are also readily observable without any need for instrumentation. It is therefore stimulating when the mathematics that emerges when these phenomena are modelled is novel and suggestive …
