Differential calculus and equations Books
Taylor & Francis Ltd Student Solutions Manual for Non Linear Dynamics
Book SynopsisThis officialStudent Solutions Manualincludes solutions to the odd-numbered exercises featured in thethird edition of Steven Strogatz''s classic text Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering. The textbook and accompanyingStudent Solutions Manualare aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. Complete with graphs and worked-out solutions, this manual demonstrates techniques for students to analyze differential equations, bifurcations, chaos, fractals, and other subjects Strogatz explores in his popular book.
£27.99
Elsevier Science Theory and Applications of Fractional Differential Equations
Book SynopsisProvides developments on fractional differential and fractional integro-differential equations involving many different potentially useful operators of fractional calculus. This book is application oriented and it contains the theory of Fractional Differential Equations. It provides problems and directions for further investigations.Trade Review"This book presents a nice and systematic treatment of the theory and applications of fractional differential equations." --ZENTRALBLATT MATH DATABASE 1931-2007"This book is a valuable resource for any worker in electronic structure theory, both for its insight into the utility of a variety of relativistic methods, and for its assessment of the contribution of relativity to a wide range of experimental properties." --THEOR CHEM ACC (2007)"For obvious reasons, the book is rather technical, but its main goal is the ultimate applications. These are explicitly or implicitly present during the whole text but they are only treated in their mathematical formulation. I.e., the electrotechnical, biological, optical, or whatever exotic context it could have been embedded in is avoided here. The book is thus certainly interesting for the (applied) mathematician, but, also for researchers who are working in one of the quite diverse applied areas where fractional models are more and more used these days." --Bulletin of the Belgian Mathematical SocietyTable of Contents1. Preliminaries.2. Fractional Integrals and Fractional Derivatives.3. Ordinary Fractional Differential Equations. Existence and Uniqueness Theorems.4. Methods for Explicitly solving Fractional Differential Equations.5. Integral Transform Methods for Explicit Solutions to Fractional Differential Equations.6. Partial Fractional Differential Equations.7. Sequential Linear Differential Equations of Fractional Order.8. Further Applications of Fractional Models.BibliographySubject Index
£134.10
Cambridge University Press Finite Volume Methods for Hyperbolic Problems
Book SynopsisThis 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. This provides an excellent learning environment for understanding wave propagation phenomena and finite volume methods.Trade Review'It is moreover advantageous that the algorithms presented are public and easily available via the web-page cited. Similar to the book of R. J. LeVeque titled Numerical Methods for Conservation Laws, this manuscript will certainly become a part of the standard literature in the field of numerical methods for hyperbolic partial differential equations.' Journal of Applied Mathematics and Physics'The text is very well written and can serve for self-study as well as an accompanying text book for teaching purposes … a very sound and comprehensive introduction into hyperbolic problems and their numerical treatment.' Zentralblatt MATHTable of ContentsPreface; 1. Introduction; 2. Conservation laws and differential equations; 3. Characteristics and Riemann problems for linear hyperbolic equations; 4. Finite-volume methods; 5. Introduction to the CLAWPACK software; 6. High resolution methods; 7. Boundary conditions and ghost cells; 8. Convergence, accuracy, and stability; 9. Variable-coefficient linear equations; 10. Other approaches to high resolution; 11. Nonlinear scalar conservation laws; 12. Finite-volume methods for nonlinear scalar conservation laws; 13. Nonlinear systems of conservation laws; 14. Gas dynamics and the Euler equations; 15. Finite-volume methods for nonlinear systems; 16. Some nonclassical hyperbolic problems; 17. Source terms and balance laws; 18. Multidimensional hyperbolic problems; 19. Multidimensional numerical methods; 20. Multidimensional scalar equations; 21. Multidimensional systems; 22. Elastic waves; 23. Finite-volume methods on quadrilateral grids; Bibliography; Index.
£69.99
Cambridge University Press Positive Harmonic Functions 45 Cambridge Studies in Advanced Mathematics Series Number 45
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£86.44
Cambridge University Press Boundary Value Problems
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£60.10
Cambridge University Press The OneDimensional Heat Equation 23 Encyclopedia of Mathematics and its Applications Series Number 23
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£88.58
Cambridge University Press Differential Analysis Differentiation Differential Equations and Differential Inequalities
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£57.78
Cambridge University Press Normal Forms and Bifurcation of Planar Vector Fields
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£60.10
Cambridge University Press Nonlinear Markov Processes and Kinetic Equations
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£73.99
Cambridge University Press Ellipsoidal Harmonics Theory and Applications 146 Encyclopedia of Mathematics and its Applications Series Number 146
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£141.00
Cambridge University Press Geometry from a Differentiable Viewpoint Second Edition
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£76.99
Cambridge University Press Geometry from a Differentiable Viewpoint
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£52.20
Cambridge University Press Linear Partial Differential Equations and Fourier Theory
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£59.11
Cambridge University Press Dynamical Systems and Semisimple Groups An Introduction 126 Cambridge Tracts in Mathematics Series Number 126
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£59.11
Cambridge University Press Control Theory for Partial Differential Equations Continuous and Approximation Theories 74 Encyclopedia of Mathematics and its Applications Series Number 74
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£81.42
Cambridge University Press Control Theory for Partial Differential Equations Continuous and Approximation Theories 75 Encyclopedia of Mathematics and its Applications Series Number 75
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£81.42
Cambridge University Press Inside Out Inverse Problems and Applications 47 Mathematical Sciences Research Institute Publications Series Number 47
Book SynopsisInverse problems arise in practical situations such as medical imaging, geophysical exploration, and non-destructive evaluation where measurements made on the exterior of a body are used to determine properties of the inaccessible interior. There have been substantial developments in the mathematical theory of inverse problems, and applications have expanded greatly. In this volume, leading experts in the theoretical and applied aspects of inverse problems offer extended surveys on several important topics in modern inverse problems, such as microlocal analysis, reflection seismology, tomography, inverse scattering, and X-ray transforms. Each article covers a particular topic or topics with an emphasis on accessibility and integration with the whole volume. Thus the collection can be at the same time stimulating to researchers and accessible to graduate students.Trade ReviewReview of the hardback: 'It's a perfect introduction for students who want to learn the basic techniques with mathematical rigor and in a mathematical language … the book is admirably clear and does a good job in motivating the reader … It's safe to say that Uhlmann's book is a fingerpost in mathematical imaging for some time to come.' Bulletin of the American Mathematical SocietyReview of the hardback: 'This collection will undoubtedly be very useful both to the researchers in the field and postgraduate students.' European Mathematical Society NewsletterReview of the hardback: 'This collection will be undoubtedly very useful to the researchers in the filed and postgraduate students as well.' EMS NerwsletterTable of ContentsPreface; 1. Introduction to the mathematics of computed tomography Adel Faridani; 2. The attenuated X-ray transform: recent developments David V. Finch; 3. Inverse acoustic and electromagnetic scattering theory David Colton; 4. Inverse problems in transport theory Plamen Stefanov; 5. Near-field tomography P. Scott Carney and John C. Schotland; 6. Inverse problems for time harmonic electrodynamics Petri Ola, Lassi Päivärinta and Erkki Somersalo; 7. Microlocal analysis of the X-ray transform with sources on a curve David Finch, Ih-Ren Lan and Gunther Uhlmann; 8. Microlocal analysis of seismic inverse scattering Maarten V. de Hoop; 9. Sojourn times, singularities of the scattering kernel and inverse problems Vesselin Petkov and Luchezar Stoyanov; 10. Geometry and analysis in many-body scattering András Vasy; 11. A mathematical and deterministic analysis of the time-reversal mirror Claude Bardos.
£41.99
Cambridge University Press The Levy Laplacian 166 Cambridge Tracts in Mathematics Series Number 166
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£43.30
Cambridge University Press Differential Equations for Engineers
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£84.99
Cambridge University Press LMS 53 Singularity Theory London Mathematical Society Lecture Note Series Series Number 53
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£63.51
Cambridge University Press The OneDimensional Heat Equation
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£141.00
Cambridge University Press An Introduction to Dynamical Systems
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£72.99
Cambridge University Press Introduction to the Modern Theory of Dynamical Systems 54 Encyclopedia of Mathematics and its Applications Series Number 54
Book SynopsisThis book provided the first self-contained comprehensive exposition of the theory of dynamical systems as a core mathematical discipline closely intertwined with most of the main areas of mathematics. The authors introduce and rigorously develop the theory while providing researchers interested in applications with fundamental tools and paradigms. The book begins with a discussion of several elementary but fundamental examples. These are used to formulate a program for the general study of asymptotic properties and to introduce the principal theoretical concepts and methods. The main theme of the second part of the book is the interplay between local analysis near individual orbits and the global complexity of the orbit structure. The third and fourth parts develop the theories of low-dimensional dynamical systems and hyperbolic dynamical systems in depth. Over 400 systematic exercises are included in the text. The book is aimed at students and researchers in mathematics at all levTrade Review' … there is no other treatment coming close in terms of comprehensiveness and readability … it is indispensable for anybody working on dynamical systems in almost any context, and even experts will find interesting new proofs, insights and historical references throughout the book.' Monatshefte für Mathematik'… contains detailed discussion … presents many recent results … The text is carefully written and is accompanied by many excercises.' European Mathematical Society Newsletter'This book provides the first self-contained comprehensive exposition of the theory of dynamical systems as a core mathematical discipline.' L'Enseignement MathématiqueTable of ContentsPart I. Examples and Fundamental Concepts; Introduction; 1. First examples; 2. Equivalence, classification, and invariants; 3. Principle classes of asymptotic invariants; 4. Statistical behavior of the orbits and introduction to ergodic theory; 5. Smooth invariant measures and more examples; Part II. Local Analysis and Orbit Growth; 6. Local hyperbolic theory and its applications; 7. Transversality and genericity; 8. Orbit growth arising from topology; 9. Variational aspects of dynamics; Part III. Low-Dimensional Phenomena; 10. Introduction: What is low dimensional dynamics; 11. Homeomorphisms of the circle; 12. Circle diffeomorphisms; 13. Twist maps; 14. Flows on surfaces and related dynamical systems; 15. Continuous maps of the interval; 16. Smooth maps of the interval; Part IV. Hyperbolic Dynamical Systems; 17. Survey of examples; 18. Topological properties of hyperbolic sets; 19. Metric structure of hyperbolic sets; 20. Equilibrium states and smooth invariant measures; Part V. Sopplement and Appendix; 21. Dynamical systems with nonuniformly hyperbolic behavior Anatole Katok and Leonardo Mendoza.
£127.00
Cambridge University Press Differential Equations
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£52.20
Cambridge University Press Normal Forms and Bifurcation of Planar Vector Fields
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£135.00
Cambridge University Press LMS 149 Solitons Nonlinear Evoltn London Mathematical Society Lecture Note Series Series Number 149
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£125.00
Cambridge University Press Symplectic Techniques in Physics
Book SynopsisSymplectic geometry is very useful for formulating clearly and concisely problems in classical physics and also for understanding the link between classical problems and their quantum counterparts. From a different approach, this subject is of interest to both mathematicians and physicists.Trade Review"This book is brilliant and fascinating and is probably one of the most important additions in recent years to the mathematical physics literature." Contemporary PhysicsTable of ContentsPreface; 1. Introduction; 2. The geometry of the moment map; 3. Motion in a Yang-Mills field and the principle of general covariance; 4. Complete integrability; 5. Contractions of symplectic homogeneous spaces; References; Index.
£63.07
Cambridge University Press Wavelets CaldernZygmund and Multilinear Operators 48 Cambridge Studies in Advanced Mathematics Series Number 48
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£168.15
Cambridge University Press Asymptotic Behaviour of Solutions of Evolutionary Equations
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£93.09
Cambridge University Press Asymptotic Behaviour of Solutions
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£48.24
Cambridge University Press Stability Instability and Chaos An Introduction to the Theory of Nonlinear Differential Equations 11 Cambridge Texts in Applied Mathematics Series Number 11
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£68.99
Cambridge University Press Boundary Value Problems for Elliptic Systems
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£170.00
Cambridge University Press Control Theory for Partial Differential Equations Volume 1 Abstract Parabolic Systems Continuous and Approximation Theories Encyclopedia of Mathematics and its Applications Series Number 74
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£161.00
Cambridge University Press Conformal Fractals Ergodic Theory Methods 371 London Mathematical Society Lecture Note Series Series Number 371
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£81.42
Cambridge University Press Modelling with Differential and Difference Equations 10 Australian Mathematical Society Lecture Series Series Number 10
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£99.99
Cambridge University Press Modelling Differentl Difference Equ 10 Australian Mathematical Society Lecture Series Series Number 10
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£52.20
Cambridge University Press Chaos Dynamics and Fractals
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£59.11
Cambridge University Press Positive Harmonic Functions and Diffusion 45 Cambridge Studies in Advanced Mathematics Series Number 45
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£141.00
Cambridge University Press Hyperbolicity and Sensitive Chaotic Dynamics at Homoclinic Bifurcations
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£71.99
Cambridge University Press Chaotic Dynamics
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£48.24
Cambridge University Press Asymptotic Problems in Equatio
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£117.00
Cambridge University Press Design by Competition Making Design Competition Work Environment and Behavior
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£68.53
Cambridge University Press A Primer of Nonlinear Analysis 34 Cambridge Studies in Advanced Mathematics Series Number 34
Book SynopsisThis is an introduction to nonlinear functional analysis, in particular to those methods based on differential calculus in Banach spaces. It is in two parts; the first deals with the geometry of Banach spaces and includes a discussion of local and global inversion theorems for differentiable mappings. In the second part, the authors are more concerned with bifurcation theory, including the Hopf bifurcation. They include plenty of motivational and illustrative applications, which indeed provide much of the justification of nonlinear analysis. In particular, they discuss bifurcation problems arising from such areas as mechanics and fluid dynamics. The book is intended to accompany upper division courses for students of pure and applied mathematics and physics; exercises are consequently included.Trade Review'There's no more economical or lucid introduction to the subject than this great little book.' The Mathematical IntelligencerTable of ContentsPreface; Preliminaries and notation; 1. Differential calculus; 2. Local inversion theorems; 3. Global inversion theorems; 4. Semilinear Dirichlet problems; 5. Bifurcation results; 6. Bifurcation problems; 7. Bifurcation of periodic solutions; Further reading.
£51.21
Cambridge University Press Dynamical Systems and Numerical Analysis
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£116.00
Cambridge University Press Symmetry Methods for Differential Equations
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£111.00
Cambridge University Press Symmetry Methods for Differential Equations A Beginners Guide 22 Cambridge Texts in Applied Mathematics Series Number 22
Book SynopsisSymmetry is the key to solving differential equations. There are many well-known techniques for obtaining exact solutions, but most of them are special cases of a few powerful symmetry methods. Furthermore, these methods can be applied to differential equations of an unfamiliar type; they do not rely on special 'tricks'. Instead, a given differential equation is forced to reveal its symmetries, which are then used to construct exact solutions. This book is a straightforward introduction to the subject, and is aimed at applied mathematicians, physicists, and engineers. The presentation is informal, using many worked examples to illustrate the main symmetry methods. It is written at a level suitable for postgraduates and advanced undergraduates, and is designed to enable the reader to master the main techniques quickly and easily. The book contains methods that have not previously appeared in a text. These include methods for obtaining discrete symmetries and integrating factors.Trade Review'Hydon's book stands out as perhaps the best introductory level text currently available … Hydon's book is extremely well-written, and a welcome addition to the literature on Lie's methods. The author has clearly devoted a lot of effort to pedagogical details, and the exposition is designed to effortlessly bring the beginning student up to speed in basic applications of the method.' Peter Olver, ZAMM'I really enjoyed reading this book and I am planning on using some parts for one of my next courses.' Monatshefte für Mathematik'… a nice introduction to symmetry methods for ordinary and partial differential equations written with passion by a specialist … after a few pages it becomes clear that the book is written in a lucid and precise manner.' Zentralblatt MATH'This new book by Peter Hydon … is eminently suitable for advanced undergraduates and beginning postgraduate students … Overall I thoroughly recommend this book and believe that it will be a useful textbook for introducing students to symmetry methods for differential equations.' Journal of Nonlinear Mathematical Physics'Throughout the text numerous examples are worked out in detail and the exercises have been well chosen. this is the most readable text on this material I have seen and I would recommend the book for self-study (as an introduction).' MathSciNet'It is very suitable for, and is specifically aimed at, postgraduate courses in the field. it is the more enjoyable for being written with infectious enthusiasm and there is a good selection of examples.' Mathematical GazetteTable of Contents1. Introduction to symmetries; 1.1. Symmetries of planar objects; 1.2. Symmetries of the simplest ODE; 1.3. The symmetry condition for first-order ODEs; 1.4. Lie symmetries solve first-order ODEs; 2. Lie symmetries of first order ODEs; 2.1. The action of Lie symmetries on the plane; 2.2. Canonical coordinates; 2.3. How to solve ODEs with Lie symmetries; 2.4. The linearized symmetry condition; 2.5. Symmetries and standard methods; 2.6. The infinitesimal generator; 3. How to find Lie point symmetries of ODEs; 3.1 The symmetry condition. 3.2. The determining equations for Lie point symmetries; 3.3. Linear ODEs; 3.4. Justification of the symmetry condition; 4. How to use a one-parameter Lie group; 4.1. Reduction of order using canonical coordinates; 4.2. Variational symmetries; 4.3. Invariant solutions; 5. Lie symmetries with several parameters; 5.1. Differential invariants and reduction of order; 5.2. The Lie algebra of point symmetry generators; 5.3. Stepwise integration of ODEs; 6. Solution of ODEs with multi-parameter Lie groups; 6.1 The basic method: exploiting solvability; 6.2. New symmetries obtained during reduction; 6.3. Integration of third-order ODEs with sl(2); 7. Techniques based on first integrals; 7.1. First integrals derived from symmetries; 7.2. Contact symmetries and dynamical symmetries; 7.3. Integrating factors; 7.4. Systems of ODEs; 8. How to obtain Lie point symmetries of PDEs; 8.1. Scalar PDEs with two dependent variables; 8.2. The linearized symmetry condition for general PDEs; 8.3. Finding symmetries by computer algebra; 9. Methods for obtaining exact solutions of PDEs; 9.1. Group-invariant solutions; 9.2. New solutions from known ones; 9.3. Nonclassical symmetries; 10. Classification of invariant solutions; 10.1. Equivalence of invariant solutions; 10.2. How to classify symmetry generators; 10.3. Optimal systems of invariant solutions; 11. Discrete symmetries; 11.1. Some uses of discrete symmetries; 11.2. How to obtain discrete symmetries from Lie symmetries; 11.3. Classification of discrete symmetries; 11.4. Examples.
£46.54
Cambridge University Press Advanced Mathematics for Applications
Book SynopsisAndrea Prosperetti draws on many years' experience at the forefront of research to produce a guide to the mathematical methods needed for classical fields. Each chapter is essentially self-contained, so users can fashion their own path through the material according to their needs.Trade Review'This carefully written book by a well-known expert in the area is also an excellent guide to the present literature, recommended as well to graduate students as to experts in the area. This volume will help the reader in getting acquainted with some mathematical aspects of the modern theory of linear and non-linear phenomena arising in relevant applications to mathematical physics.' Zentralblatt MATH'A truly wonderful book … The author succeeded in creating a new type of book, that many will put on their desks, and they should: beginners, physicists, advanced learners, instructors, users of maths in the sciences … A modern work, showing new ways, unusually multi-layered, applicable in many contexts and at many levels, an exciting book.' Siegfried Großmann, Philipps-Universität Marburg'This book admirably lays down physical and mathematical groundwork, provides motivating examples, gives access to the relevant deep mathematics, and unifies components of many mathematical areas. This sophisticated topics text, which interweaves and connects subjects in a meaningful way, gives readers the satisfaction and the pleasure of putting two and two together.' Laura K. Gross, SIAM ReviewTable of ContentsPreface; To the reader; List of tables; Part I. General Remarks and Basic Concepts: 1. The classical field equations; 2. Some simple preliminaries; Part II. Applications: 3. Fourier series: applications; 4. Fourier transform: applications; 5. Laplace transform: applications; 6. Cylindrical systems; 7. Spherical systems; Part III. Essential Tools: 8. Sequences and series; 9. Fourier series: theory; 10. The Fourier and Hankel transforms; 11. The Laplace transform; 12. The Bessel equation; 13. The Legendre equation; 14. Spherical harmonics; 15. Green's functions: ordinary differential equations; 16. Green's functions: partial differential equations; 17. Analytic functions; 18. Matrices and finite-dimensional linear spaces; Part IV. Some Advanced Tools: 19. Infinite-dimensional spaces; 20. Theory of distributions; 21. Linear operators in infinite-dimensional spaces; Appendix; References; Index.
£169.00
Cambridge University Press Solving Odes with MATLAB
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£52.20
