Differential calculus and equations Books
Nova Science Publishers Inc Differential Equations & Mathematical Modelling
Book SynopsisThis book presents translations of selected Russian papers on the theoretical aspects of differential equations and applications of mathematical methods to modelling. These papers have been selected for their high scientific standards, innovative approaches, and topical interests.
£92.79
Nova Science Publishers Inc Differential Equations & Applications, Volume 2
Book SynopsisThe aim of this volume is to introduce and exchange recent new topics on the areas of difference, differential, integrodifferential and integral equations, evolution equations, control and optimisation theory, dynamic system theory, queuing theory and electromagnetism and their applications.
£106.39
Nova Science Publishers Inc Differential Equations & Applications, Volume 3
Book SynopsisThe aim of this volume is to introduce new topics on the areas of difference, differential, integrodifferential and integral equations, evolution equations, control and optimisation theory, dynamic system theory, queuing theory and electromagnetism and their applications.
£129.74
Nova Science Publishers Inc Focus on Evolution Equations
Book SynopsisThis book presents high-quality research on the theory and methods of linear or non-linear evolution equations as well as their further applications. Equations dealing with the asymptotic behaviour of solutions to evolution equations are included. This book also covers degenerate parabolic equations, abstract differential equations, comments on the Schrodinger equation, solutions in banach spaces, periodic and quasi-periodic solutions, concave Lagragian systems and integral equations.
£67.99
Nova Science Publishers Inc Differential Equations: Application Systems &
Book Synopsis
£106.49
Nova Science Publishers Inc Partial Differential Equations: Classification,
Book SynopsisThis book includes research on the Lax-Milgram theorem, which can be used to prove existence and uniqueness of weak solutions to partial differential equations and several examples of its application to relevant boundary value problems are presented. The authors also investigate nonlinear control problems for couple partial differential equations arising from climate and circulation dynamics in the equatorial zone; the integration of partial differential equations (PDE) with the help of non-commutative analysis over octonions and Cayley-Dickson algebras; and the existence and properties of solutions, applications in sequential optimal control with pointwise in time state constraints.
£195.19
Nova Science Publishers Inc Partial Differential Equations: Theory, Numerical
Book SynopsisThe laws of nature are written in the language of partial differential equations. Therefore, these equations arise as models in virtually all branches of science and technology. Our goal in this book is to help you to understand what this vast subject is about. The book is an introduction to the field suitable for senior undergraduate and junior graduate students. Introductory courses in partial differential equations (PDEs) are given all over the world in various forms. The traditional approach to the subject is to introduce a number of analytical techniques, enabling the student to derive exact solutions of some simplified problems. Students who learn about computational techniques in other courses subsequently realize the scope of partial differential equations beyond paper and pencil. Our book is significantly different from the existing ones. We introduce both analytical theory, including the theory of classical solutions and that of weak solutions, and introductory techniques of ill-posed problems with reference to weak solutions. Besides, since computational techniques are commonly available and are currently used in all practical applications of partial differential equations, we incorporate classical finite difference methods and finite element methods in our book.
£163.19
PHI Learning Computer Orientated Numerical Methods
Book SynopsisThsi book is a concise presentation of the basic concepts used in evolving numerical methods with special emphasis on developing computional algorithms for solving problems in algebra and calculus on a computer.
£999.99
Atlantic Publishers & Distributors Pvt Ltd Differential Equations
Book SynopsisStudy of first-order and first-degree differential equations, including separable, homogeneous, linear, and exact equations. Also covers equations not of first degree, singular solutions, orthogonal trajectories, and linear equations with constant coefficients.
£16.88
Nova Science Publishers, Inc. Understanding IntegroDifferential Equations
Book Synopsis
£138.39
Clarendon Press P And HP Finite Element Methods Theory and Applications to Solid and Fluid Mechanics Numerical Mathematics and Scientific Computation
Book SynopsisThis title is an introduction to the mathematical analysis of p- and hp-finite elements applied to elliptic problems in solid and fluid mechanics, and is suitable for graduate students and researchers who have had some prior exposure to finite element methods (FEM).Trade Review'Summarizing the book is the first theoretical book addressing the hp-version of the finite element method which is used today in practical computations. It is very well written and gives a very good review of the techniques and results in this relatively new direction in the FEM. It is highly recommended to anybody with mathematical interest for both learning and reference' ZAMMTable of ContentsVariational formulation of boundary value problems ; The Finite Element Method (FEM): definition, basic properties ; hp- Finite Elements in one dimension ; hp- Finite Elements in two dimensions ; Finite Element analysis of saddle point problems, mixed hp-FEM in incompressible fluid flow ; hp-FEM in the theory of elasticity
£170.00
Oxford University Press Hyperbolic Systems of Conservation Laws
Book SynopsisThis book provides a self-contained introduction to the mathematical theory of hyperbolic systems of conservation laws, with particular emphasis on the study of discontinuous solutions, characterized by the appearance of shock waves. This area has experienced substantial progress in very recent years thanks to the introduction of new techniques, in particular the front tracking algorithm and the semigroup approach. These techniques provide a solution to the long standing open problems of uniqueness and stability of entropy weak solutions. This monograph is the first to present a comprehensive account of these new, fundamental advances, mainly obtained by the author together with several collaborators. It also includes a detailed analysis of the stability and convergence of the front tracking algorithm. The book is addressed to graduate students as well as researchers. Both the elementary and the more advanced material are carefully explained, helping the reader''s visual intuition withTrade ReviewAn excellent and self-contained treatment of the mathematical theory of hyperbolic systems of conservation laws ... written in a clear and self-contained way and will be of great value for graduate students and specialists in the field. * EMS *
£147.50
Oxford University Press, USA Introduction to the Mathematical Theory of Compressible Flow 27 Oxford Lecture Series in Mathematics and Its Applications
Book SynopsisThis book provides a rapid introduction to the mathematical theory of compressible flow, giving a comprehensive account of the field and all important results up to the present day. The book is written in a clear, instructive and self-contained manner and will be accessible to a wide audience.Table of Contents1. Fundamental concepts and equations ; 2. Theoretical results for the Euler equations ; 3. Some mathematical tools for compressible flows ; 4. Weak solutions for steady compressible Navier-Stokes equations in barotropic regime ; 5. Strong solutions for steady compressible Navier-Stokes equations and small data ; 6. Some mathematical tools for non-steady equations ; 7. Weak solutions for non-stationary compressible Navier-Stokes equations ; 8. Global behavior of weak solutions ; 9. Strong solutions of non-steady compressible Navier-Stokes equations
£162.50
Oxford University Press, USA An Introduction to Homogenization 17 Oxford Lecture Series in Mathematics and Its Applications
Book SynopsisThe theory of homogenization replaces a real composite material with an imaginary homogeneous one, to describe the macroscopic properties of the composite using the properties of the microscopic structure. This work illustrates the relevant mathematics, logic and methodology with examples.Trade Review'serve as good textbook for a post-graduate course' ZAMMTable of Contents1. Weak and weak - convergence in Banach spaces ; 2. Rapidly oscillating periodic functions ; 3. Some classes of Sobolev spaces ; 4. Some variational elliptic problems ; 5. Examples of periodic composite materials ; 6. Homogenization of elliptic equations: the convergence result ; 7. The multiple-scale method ; 8. Tartar's method of oscillating test functions ; 9. The two-scale convergence method ; 10. Homogenization in linearized elasticity ; 11. Homogenization of the heat equation ; 12. Homogenization of the wave equation ; 13. General Approaches to the non-periodic case ; References
£155.00
Clarendon Press Heuns Differential Equations
Book SynopsisHeun''s equation is a second-order differential equation which crops up in a variety of forms in a wide range of problems in applied mathematics. These include integral equations of potential theory, wave propogation, electrostatic oscillation, and Schrodinger''s equation. This volume brings together important research work for the first time, providing an important resource for all those interested in this mathematical topic. Both the current theory and the main areas of application are surveyed, and includes contributions from authoritative researchers such as Felix Arscott (Canada), P. Maroni (France), and Gerhard Wolf (Germany).Trade ReviewThere is a wealth of important results and open problems and the book is a welcome addition to the literature on these important special functions and their applications. * B D Sleeman, Zbl. Math. 847/96. *Table of ContentsA. HEUN'S EQUATION ; I: GENERAL AND POWER SERIES ; II: HYPERGEOMETRIC FUNCTION SERIES ; B. CONFLUENT HEUN EQUATION ; C. DOUBLE CONFLUENT HEUN EQUATION ; D. BICONFLUENT HEUN EQUATION ; E. TRICONFLUENT HEUN EQUATION
£162.50
Oxford University Press, USA Smoothing and Decay Estimates for Nonlinear Diffusion Equations
Book SynopsisThis text is concerned with the quantitative aspects of the theory of nonlinear diffusion equations; equations which can be seen as nonlinear variations of the classical heat equation. They appear as mathematical models in different branches of Physics, Chemistry, Biology, and Engineering, and are also relevant in differential geometry and relativistic physics. Much of the modern theory of such equations is based on estimates and functional analysis.Concentrating on a class of equations with nonlinearities of power type that lead to degenerate or singular parabolicity (equations of porous medium type), the aim of this text is to obtain sharp a priori estimates and decay rates for general classes of solutions in terms of estimates of particular problems. These estimates are the building blocks in understanding the qualitative theory, and the decay rates pave the way to the fine study of asymptotics. Many technically relevant questions are presented and analyzed in detail. A systematic pTrade ReviewThis book is intended to introduce graduate students to the methods and results of nonlinear diffusion equations of porous medium type, as practised today. The present text, remarkable for generality and depth, is also notable for its author's concern, throughout, to keep the important issues about varieties clearly in the foreground ... [the book] succeeds admirably, in the reviewer's opinion, in introducing its difficult subject at a level appropriate for preparing future workers in the field. * Vicentiu Radulescu, Mathematical Reviews Issue 2007k *Table of ContentsPART I; PART II; PART III
£114.00
Oxford University Press A Posteriori Error Estimation Techniques for Finite Element Methods
Book SynopsisSelf-adaptive discretization methods are now an indispensable tool for the numerical solution of partial differential equations that arise from physical and technical applications. The aim is to obtain a numerical solution within a prescribed tolerance using a minimal amount of work. The main tools in achieving this goal are a posteriori error estimates which give global and local information on the error of the numerical solution and which can easily be computed from the given numerical solution and the data of the differential equation. This book reviews the most frequently used a posteriori error estimation techniques and applies them to a broad class of linear and nonlinear elliptic and parabolic equations. Although there are various approaches to adaptivity and a posteriori error estimation, they are all based on a few common principles. The main aim of the book is to elaborate these basic principles and to give guidelines for developing adaptive schemes for new problems. ChaptersTrade ReviewError control and adaptive solution algorithms for finite element approximation are a key concern of every practitioner. The present text, written by a leading authority in the field who has made many important contributions, will be valuable for theoreticians and practitioners alike. * Mark Ainsworth, Professor of Applied Mathematics, Brown University *Table of Contents1. A Simple Model Problem ; 2. Implementation ; 3. Auxiliary Results ; 4. Linear Elliptic Equations ; 5. Nonlinear Elliptic Equations ; 6. Parabolic Equations
£165.03
Penguin Random House LLC Ordinary Differential Equations
£61.46
Springer Computational Techniques for the Summation of Series
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£85.49
Springer An Introduction to Difference Equations
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£56.99
Springer Difference Equations
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£82.83
Springer Difference Equations
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£44.99
Springer A First Course in Differential Equations
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£36.99
Springer Critical Point Theory and Its Applications
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£85.49
Springer Functional Equations and How to Solve Them
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£64.99
Springer Functional Equations and How to Solve Them
Book SynopsisAn historical introduction.- Functional equations with two variables.- Functional equations with one variable.- Miscellaneous methods for functional equations.- Some closing heuristics.- Appendix: Hamel bases.- Hints and partial solutions to problems.Trade ReviewFrom the reviews: "This book is devoted to functional equations of a special type, namely to those appearing in competitions … . The book contains many solved examples and problems at the end of each chapter. … The book has 130 pages, 5 chapters and an appendix, a Hints/Solutions section, a short bibliography and an index. … The book will be valuable for instructors working with young gifted students in problem solving seminars." (EMS Newsletter, June, 2008)Table of ContentsAn historical introduction.- Functional equations with two variables.- Functional equations with one variable.- Miscellaneous methods for functional equations.- Some closing heuristics.- Appendix: Hamel bases.- Hints and partial solutions to problems.
£54.99
Springer Inequalities for Differential Forms
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£85.49
Copernicus Hilbert Diseases
Book SynopsisI Youth.- II Friends and Teachers.- III Doctor of Philosophy.- IV Paris.- V Gordan's Problem.- VI Changes.- VII Only Number Fields.- VIII Tables, Chairs, and Beer Mugs.- IX Problems.- X The Future of Mathematics.- XI The New Century.- XII Second Youth.- XIII The Passionate Scientific Life.- XIV Space, Time and Number.- XV Friends and Students.- XVI Physics.- XVII War.- XVIII The Foundations of Mathematics.- XIX The New Order.- XX The Infinite!.- XXI Borrowed Time.- XXII Logic and the Understanding of Nature.- XXIII Exodus.- XXIV Age.- XXV The Last Word.Trade ReviewFrom the reviews: THE BULLETIN OF MATHEMATICS BOOKS "Originally published to great acclaim, both books explore the dramatic scientific history expressed in the lives of these two great scientists and described in the lively, nontechnical writing style of Constance Reid."Table of ContentsI Youth.- II Friends and Teachers.- III Doctor of Philosophy.- IV Paris.- V Gordan’s Problem.- VI Changes.- VII Only Number Fields.- VIII Tables, Chairs, and Beer Mugs.- IX Problems.- X The Future of Mathematics.- XI The New Century.- XII Second Youth.- XIII The Passionate Scientific Life.- XIV Space, Time and Number.- XV Friends and Students.- XVI Physics.- XVII War.- XVIII The Foundations of Mathematics.- XIX The New Order.- XX The Infinite!.- XXI Borrowed Time.- XXII Logic and the Understanding of Nature.- XXIII Exodus.- XXIV Age.- XXV The Last Word.
£28.49
Springer Parallel Solution of Partial Differential Equations
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£65.50
Springer Fractional Differentiation Inequalities
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£85.49
Springer Wave Propagation in Complex Media
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£74.93
Elsevier Science Applications of Functional Analysis and Operator Theory
£190.00
Elsevier Science Handbook of Differential Equations Ordinary Differential Equations
£190.00
iUniverse Dynamics on Differential OneForms
£13.62
iUniverse The Very Basics of Tensors
£12.38
iUniverse Dynamics on Differential OneForms
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£22.52
Taylor & Francis Ltd Oscillation Theory for Neutral Differential Equations with Delay
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£198.41
Springer Stochastic Evolution Systems Linear Theory and Applications to Nonlinear Filtering 35 Mathematics and its Applications
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£44.99
Springer Boundary Value Problems for Operator Differential Equations 48 Mathematics and its Applications
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£85.49
Springer Advances in the Theory of Frchet Spaces Workshop Proceedings 287 Nato Science Series C
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£170.99
Springer Spectral Theory of Automorphic Functions And Its Applications 51 Mathematics and its Applications
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£44.99
Springer Quasiconformal Mappings and Sobolev Spaces 54 Mathematics and its Applications
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£44.99
Springer Control of QuantumMechanical Processes and Systems 56 Mathematics and its Applications
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£44.99
Springer Computation of Curves and Surfaces Symposium Proceedings 307 Nato Science Series C
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£237.49
Springer Geometry of Banach Spaces Duality Mappings and Nonlinear Problems 62 Mathematics and Its Applications
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£44.99
Springer Solitons in Molecular Systems 61 Mathematics and its Applications
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£85.49
Springer Phase Portraits of Control Dynamical Systems 63 Mathematics and its Applications
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£44.99
Springer Computational Methods for General Sparse Matrices 65 Mathematics and Its Applications
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£85.49
