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Author : Robert C. McOwen
Publisher : Unknown
Page : 270 pages
File Size : 54,9 Mb
Release : 2012-08-01
Category : Algebras, Linear
ISBN : 0984207120
Author : C. Henry Edwards,David E. Penney,David Calvis
Publisher : Pearson Higher Ed
Page : 757 pages
File Size : 52,8 Mb
Release : 2020-06-25
Category : Mathematics
ISBN : 9781292356983
For courses in Differential Equations and Linear Algebra. The right balance between concepts, visualisation, applications, and skills Differential Equations and Linear Algebra provides the conceptual development and geometric visualisation of a modern differential equations and linear algebra course that is essential to science and engineering students. It balances traditional manual methods with the new, computer-based methods that illuminate qualitative phenomena - a comprehensive approach that makes accessible a wider range of more realistic applications. The book combines core topics in elementary differential equations with concepts and methods of elementary linear algebra. It starts and ends with discussions of mathematical modeling of real-world phenomena, evident in figures, examples, problems, and applications throughout. The full text downloaded to your computer With eBooks you can: search for key concepts, words and phrases make highlights and notes as you study share your notes with friends eBooks are downloaded to your computer and accessible either offline through the Bookshelf (available as a free download), available online and also via the iPad and Android apps. Upon purchase, you'll gain instant access to this eBook. Time limit The eBooks products do not have an expiry date. You will continue to access your digital ebook products whilst you have your Bookshelf installed.
Author : R. Kent Nagle,Edward B. Saff,Arthur David Snider
Publisher : Pearson Higher Ed
Page : 724 pages
File Size : 45,5 Mb
Release : 2018-08-06
Category : Mathematics
ISBN : 9781292241470
Fundamentals of Differential Equations presents the basic theory of differential equations and offers a variety of modern applications in science and engineering. This flexible text allows instructors to adapt to various course emphases (theory, methodology, applications, and numerical methods) and to use commercially available computer software. The full text downloaded to your computer With eBooks you can: search for key concepts, words and phrases make highlights and notes as you study share your notes with friends eBooks are downloaded to your computer and accessible either offline through the Bookshelf (available as a free download), available online and also via the iPad and Android apps. Upon purchase, you'll gain instant access to this eBook. Time limit The eBooks products do not have an expiry date. You will continue to access your digital ebook products whilst you have your Bookshelf installed.
Author : C. HENRY. PENNEY EDWARDS (DAVID E.. CALVIS, DAVID.),David E. Penney,David Calvis
Publisher : Unknown
Page : 760 pages
File Size : 43,7 Mb
Release : 2020-07-08
Category : Electronic
ISBN : 1292356952
Author : David B. Massey
Publisher : Unknown
Page : 565 pages
File Size : 54,8 Mb
Release : 2009-01-01
Category : Electronic
ISBN : 0984207198
Author : Frantisek Neuman
Publisher : Springer
Page : 344 pages
File Size : 47,7 Mb
Release : 1991
Category : Mathematics
ISBN : UOM:39015029206920
This volume presents an authoritative, unified overview of the methods and results concerning the global properties of linear differential equations of order n (n>=2). It does not, however, seek to be comprehensive. Rather, it contains a selection of results which richly illustrate the unified approach presented. By making use of recent methods and results from many different areas of mathematics and by introducing several original methods, global solutions of problems previously studied only locally are given. The structure of global transformations is described algebraically, and a new geometrical approach is introduced which leads to global canonical forms suitable for Cartan's moving frame-of-reference method. The theory discussed also provides effective tools for solving some open problems, especially relating to the distribution of zeros of solutions. In addition, the theory of functional equations plays an important role in studying the asymptotic behaviour of solutions. Applications to differential geometry and functional equations are also described. The volume is largely self-contained. This book is for mathematicians, computer scientists, physicists, chemists, engineers, and others whose work involves the use of linear differential equations.
Author : Anonim
Publisher : Elsevier
Page : 289 pages
File Size : 48,8 Mb
Release : 1975-01-01
Category : Mathematics
ISBN : 0080871291
Global Theory of a Second Order Linear Ordinary Differential Equation with a Polynomial Coefficient
Author : Allan Struthers,Merle Potter
Publisher : Springer
Page : 514 pages
File Size : 55,8 Mb
Release : 2019-07-31
Category : Technology & Engineering
ISBN : 9783030205065
This book is designed to serve as a textbook for a course on ordinary differential equations, which is usually a required course in most science and engineering disciplines and follows calculus courses. The book begins with linear algebra, including a number of physical applications, and goes on to discuss first-order differential equations, linear systems of differential equations, higher order differential equations, Laplace transforms, nonlinear systems of differential equations, and numerical methods used in solving differential equations. The style of presentation of the book ensures that the student with a minimum of assistance may apply the theorems and proofs presented. Liberal use of examples and homework problems aids the student in the study of the topics presented and applying them to numerous applications in the real scientific world. This textbook focuses on the actual solution of ordinary differential equations preparing the student to solve ordinary differential equations when exposed to such equations in subsequent courses in engineering or pure science programs. The book can be used as a text in a one-semester core course on differential equations, alternatively it can also be used as a partial or supplementary text in intensive courses that cover multiple topics including differential equations.
Author : David G. Schaeffer,John W. Cain
Publisher : Springer
Page : 542 pages
File Size : 41,5 Mb
Release : 2016-11-10
Category : Mathematics
ISBN : 9781493963898
This book develops the theory of ordinary differential equations (ODEs), starting from an introductory level (with no prior experience in ODEs assumed) through to a graduate-level treatment of the qualitative theory, including bifurcation theory (but not chaos). While proofs are rigorous, the exposition is reader-friendly, aiming for the informality of face-to-face interactions. A unique feature of this book is the integration of rigorous theory with numerous applications of scientific interest. Besides providing motivation, this synthesis clarifies the theory and enhances scientific literacy. Other features include: (i) a wealth of exercises at various levels, along with commentary that explains why they matter; (ii) figures with consistent color conventions to identify nullclines, periodic orbits, stable and unstable manifolds; and (iii) a dedicated website with software templates, problem solutions, and other resources supporting the text (www.math.duke.edu/ode-book). Given its many applications, the book may be used comfortably in science and engineering courses as well as in mathematics courses. Its level is accessible to upper-level undergraduates but still appropriate for graduate students. The thoughtful presentation, which anticipates many confusions of beginning students, makes the book suitable for a teaching environment that emphasizes self-directed, active learning (including the so-called inverted classroom).
Author : Yang Kuang
Publisher : Academic Press
Page : 398 pages
File Size : 42,8 Mb
Release : 1993-03-05
Category : Mathematics
ISBN : 0080960022
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.
Author : M. Kohno
Publisher : Springer Science & Business Media
Page : 539 pages
File Size : 40,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401146050
Since the initiative works for global analysis of linear differential equations by G.G. Stokes and B. Riemann in 1857, the Airy function and the Gauss hypergeometric function became the most important and the greatest practical special functions, which have a variety of applications to mathematical science, physics and engineering. The cffcctivity of these functions is essentially due to their "behavior in the large" . For instance, the Airy function plays a basic role in the asymptotic analysis of many functions arising as solutions of differential equations in several problems of applied math ematics. In case of the employment of its behavior, one should always pay attention to the Stokes phenomenon. On the other hand, as is well-known, the Gauss hypergeometric function arises in all fields of mathematics, e.g., in number theory, in the theory of groups and in analysis itself. It is not too much to say that all power series are special or extended cases of the hypergeometric series. For the full use of its properties, one needs connection formulas or contiguous relations.
Author : A. K. Nandakumaran,P. S. Datti,Raju K. George
Publisher : Cambridge University Press
Page : 349 pages
File Size : 48,9 Mb
Release : 2017-05-11
Category : Mathematics
ISBN : 9781108416412
An easy to understand guide covering key principles of ordinary differential equations and their applications.
Author : Peter Markowich
Publisher : Springer Science & Business Media
Page : 210 pages
File Size : 54,9 Mb
Release : 2007-08-06
Category : Mathematics
ISBN : 9783540346463
This book presents topics of science and engineering which occur in nature or are part of daily life. It describes phenomena which are modelled by partial differential equations, relating to physical variables like mass, velocity and energy, etc. to their spatial and temporal variations. The author has chosen topics representing his career-long interests, including the flow of fluids and gases, granular flows, biological processes like pattern formation on animal skins, kinetics of rarified gases and semiconductor devices. Each topic is presented in its scientific or engineering context, followed by an introduction of applicable mathematical models in the form of partial differential equations.
Author : Jack K. Hale
Publisher : Springer Science & Business Media
Page : 374 pages
File Size : 42,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461298922
Since the publication of my lecture notes, Functional Differential Equations in the Applied Mathematical Sciences series, many new developments have occurred. As a consequence, it was decided not to make a few corrections and additions for a second edition of those notes, but to present a more compre hensive theory. The present work attempts to consolidate those elements of the theory which have stabilized and also to include recent directions of research. The following chapters were not discussed in my original notes. Chapter 1 is an elementary presentation of linear differential difference equations with constant coefficients of retarded and neutral type. Chapter 4 develops the recent theory of dissipative systems. Chapter 9 is a new chapter on perturbed systems. Chapter 11 is a new presentation incorporating recent results on the existence of periodic solutions of autonomous equations. Chapter 12 is devoted entirely to neutral equations. Chapter 13 gives an introduction to the global and generic theory. There is also an appendix on the location of the zeros of characteristic polynomials. The remainder of the material has been completely revised and updated with the most significant changes occurring in Chapter 3 on the properties of solutions, Chapter 5 on stability, and Chapter lOon behavior near a periodic orbit.
Author : Anatoliĭ Vladimirovich Babin,M. I. Vishik
Publisher : American Mathematical Soc.
Page : 184 pages
File Size : 44,6 Mb
Release : 1992
Category : Attractors (Mathematics)
ISBN : 0821841092