Books in Ordinary differential equations

41-50 of 53 results in All results

Handbook of Differential Equations

• 3rd Edition
• October 29, 1997
• Daniel Zwillinger
• English
• Hardback 978-0-12-784396-4

  9 7 8 - 0 - 1 2 - 7 8 4 3 9 6 - 4

Handbook of Differential Equations, Third Edition compiles the most widely applicable methods for solving and approximating differential equations, also providing numerous examples that show methods being used. Topics include ordinary differential equations, symplectic integration of differential equations, and the use of wavelets when numerically solving differential equations.

Ordinary Differential Equations

• 1st Edition
• December 22, 1995
• William Cox
• English
• eBook 978-0-08-092867-8

  9 7 8 - 0 - 0 8 - 0 9 2 8 6 7 - 8

Building on introductory calculus courses, this text provides a sound foundation in the underlying principles of ordinary differential equations. Important concepts, including uniqueness and existence theorems, are worked through in detail and the student is encouraged to develop much of the routine material themselves, thus helping to ensure a solid understanding of the fundamentals required.The wide use of exercises, problems and self-assessment questions helps to promote a deeper understanding of the material and it is developed in such a way that it lays the groundwork for further study of partial differential equations.

Calculus and Ordinary Differential Equations

• 1st Edition
• December 1, 1995
• David Pearson
• English
• Paperback 978-0-340-62530-9

  9 7 8 - 0 - 3 4 0 - 6 2 5 3 0 - 9
• eBook 978-0-08-092865-4

  9 7 8 - 0 - 0 8 - 0 9 2 8 6 5 - 4

Professor Pearson's book starts with an introduction to the area and an explanation of the most commonly used functions. It then moves on through differentiation, special functions, derivatives, integrals and onto full differential equations. As with other books in the series the emphasis is on using worked examples and tutorial-based problem solving to gain the confidence of students.

Delay Differential Equations

• 1st Edition
• Volume 191
• March 5, 1993
• Yang Kuang
• English
• eBook 978-0-08-096002-9

  9 7 8 - 0 - 0 8 - 0 9 6 0 0 2 - 9

Delay Differential Equations emphasizes the global analysis of full nonlinear equations or systems. The book treats both autonomous and nonautonomous systems with various delays. Key topics addressed are the possible delay influence on the dynamics of the system, such as stability switching as time delay increases, the long time coexistence of populations, and the oscillatory aspects of the dynamics. The book also includes coverage of the interplay of spatial diffusion and time delays in some diffusive delay population models. The treatment presented in this monograph will be of great value in the study of various classes of DDEs and their multidisciplinary applications.

Symmetries and Laplacians

• 1st Edition
• Volume 174
• May 18, 1992
• D. Gurarie
• English
• eBook 978-0-08-087285-8

  9 7 8 - 0 - 0 8 - 0 8 7 2 8 5 - 8

Designed as an introduction to harmonic analysis and group representations,this book covers a wide range of topics rather than delving deeply into anyparticular one. In the words of H. Weyl ...it is primarily meant forthe humble, who want to learn as new the things set forth therein, rather thanfor the proud and learned who are already familiar with the subject and merelylook for quick and exact information....The main objective is tointroduce the reader to concepts, ideas, results and techniques that evolvearound symmetry-groups, representations and Laplacians. Morespecifically, the main interest concerns geometrical objects and structures{X}, discrete or continuous, that possess sufficiently large symmetrygroup G, such as regular graphs (Platonic solids), lattices, andsymmetric Riemannian manifolds. All such objects have a natural Laplacian&Dgr;, a linear operator on functions over X, invariant underthe group action. There are many problems associated with Laplacians onX, such as continuous or discrete-time evolutions, on X,random walks, diffusion processes, and wave-propagation. This book containssufficient material for a 1 or 2-semester course.

Singular Perturbations I

• 1st Edition
• Volume 23
• August 16, 1990
• L.S. Frank
• English
• eBook 978-0-08-087544-6

  9 7 8 - 0 - 0 8 - 0 8 7 5 4 4 - 6

Singular perturbations, one of the central topics in asymptotic analysis, also play a special role in describing physical phenomena such as the propagation of waves in media in the presence of small energy dissipations or dispersions, the appearance of boundary or interior layers in fluid and gas dynamics, as well as in elasticity theory, semi-classical asymptotic approximations in quantum mechanics etc. Elliptic and coercive singular perturbations are of special interest for the asymptotic solution of problems which are characterized by boundary layer phenomena, e.g. the theory of thin buckling plates, elastic rods and beams. This first volume deals with linear singular perturbations (on smooth manifolds without boundary) considered as equicontinuous linear mappings between corresponding families of Sobolev-Slobodetski's type spaces of vectorial order.

Scattering Theory for Hyperbolic Operators

• 1st Edition
• Volume 21
• November 20, 1989
• V. Petkov
• English
• eBook 978-0-08-087542-2

  9 7 8 - 0 - 0 8 - 0 8 7 5 4 2 - 2

Scattering Theory for dissipative and time-dependent systems has been intensively studied in the last fifteen years. The results in this field, based on various tools and techniques, may be found in many published papers.This monograph presents an approach which can be applied to spaces of both even and odd dimension. The ideas on which the approach is based are connected with the RAGE type theorem, with Enss' decomposition of the phase space and with a time-dependent proof of the existence of the operator W which exploits the decay of the local energy of the perturbed and free systems. Some inverse scattering problems for time-dependent potentials, and moving obstacles with an arbitrary geometry, are also treated in the book.

Difference Schemes

• 1st Edition
• Volume 19
• May 1, 1987
• S.K. Godunov + 1 more
• English
• eBook 978-0-08-087540-8

  9 7 8 - 0 - 0 8 - 0 8 7 5 4 0 - 8

Much applied and theoretical research in natural sciences leads to boundary-value problems stated in terms of differential equations. When solving these problems with computers, the differential problems are replaced approximately by difference schemes.This book is an introduction to the theory of difference schemes, and was written as a textbook for university mathematics and physics departments and for technical universities. Some sections of the book will be of interest to computations specialists.While stressing a mathematically rigorous treatment of model problems, the book also demonstrates the relation between theory and computer experiments, using difference schemes created for practical computations.

Singularities & Dynamical Systems

• 1st Edition
• Volume 103
• January 1, 1985
• S.N. Pnevmatikos
• English
• eBook 978-0-08-087214-8

  9 7 8 - 0 - 0 8 - 0 8 7 2 1 4 - 8

This volume is an account of the lectures delivered at the international Conference ``Singularities and Dynamical Systems-83''. The main purpose of the Conference was to create conditions of scientific contact between mathematicians and physicists who have singularities and dynamical systems as common interests.

Coupled Nonlinear Oscillators

• 1st Edition
• Volume .
• January 1, 1983
• J. Chandra + 1 more
• English
• eBook 978-0-08-087191-2

  9 7 8 - 0 - 0 8 - 0 8 7 1 9 1 - 2