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Author: Jiri Lebl
Publisher:
ISBN: 9781706230236
Category :
Languages : en
Pages : 468
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Book Description
Version 6.0. An introductory course on differential equations aimed at engineers. The book covers first order ODEs, higher order linear ODEs, systems of ODEs, Fourier series and PDEs, eigenvalue problems, the Laplace transform, and power series methods. It has a detailed appendix on linear algebra. The book was developed and used to teach Math 286/285 at the University of Illinois at Urbana-Champaign, and in the decade since, it has been used in many classrooms, ranging from small community colleges to large public research universities. See https: //www.jirka.org/diffyqs/ for more information, updates, errata, and a list of classroom adoptions.
Author: Jiri Lebl
Publisher:
ISBN: 9781706230236
Category :
Languages : en
Pages : 468
Get Book Here
Book Description
Version 6.0. An introductory course on differential equations aimed at engineers. The book covers first order ODEs, higher order linear ODEs, systems of ODEs, Fourier series and PDEs, eigenvalue problems, the Laplace transform, and power series methods. It has a detailed appendix on linear algebra. The book was developed and used to teach Math 286/285 at the University of Illinois at Urbana-Champaign, and in the decade since, it has been used in many classrooms, ranging from small community colleges to large public research universities. See https: //www.jirka.org/diffyqs/ for more information, updates, errata, and a list of classroom adoptions.
Author: Morris Tenenbaum
Publisher: Courier Corporation
ISBN: 0486649407
Category : Mathematics
Languages : en
Pages : 852
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Book Description
Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines the general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.
Author: George Finlay Simmons
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 465
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Book Description
Author: Yoshiyuki Hino
Publisher: Springer
ISBN: 3540473882
Category : Mathematics
Languages : en
Pages : 326
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Book Description
In the theory of functional differential equations with infinite delay, there are several ways to choose the space of initial functions (phase space); and diverse (duplicated) theories arise, according to the choice of phase space. To unify the theories, an axiomatic approach has been taken since the 1960's. This book is intended as a guide for the axiomatic approach to the theory of equations with infinite delay and a culmination of the results obtained in this way. It can also be used as a textbook for a graduate course. The prerequisite knowledge is foundations of analysis including linear algebra and functional analysis. It is hoped that the book will prepare students for further study of this area, and that will serve as a ready reference to the researchers in applied analysis and engineering sciences.
Author: Paul Waltman
Publisher: Elsevier
ISBN: 1483276600
Category : Mathematics
Languages : en
Pages : 272
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Book Description
A Second Course in Elementary Differential Equations deals with norms, metric spaces, completeness, inner products, and an asymptotic behavior in a natural setting for solving problems in differential equations. The book reviews linear algebra, constant coefficient case, repeated eigenvalues, and the employment of the Putzer algorithm for nondiagonalizable coefficient matrix. The text describes, in geometrical and in an intuitive approach, Liapunov stability, qualitative behavior, the phase plane concepts, polar coordinate techniques, limit cycles, the Poincaré-Bendixson theorem. The book explores, in an analytical procedure, the existence and uniqueness theorems, metric spaces, operators, contraction mapping theorem, and initial value problems. The contraction mapping theorem concerns operators that map a given metric space into itself, in which, where an element of the metric space M, an operator merely associates with it a unique element of M. The text also tackles inner products, orthogonality, bifurcation, as well as linear boundary value problems, (particularly the Sturm-Liouville problem). The book is intended for mathematics or physics students engaged in ordinary differential equations, and for biologists, engineers, economists, or chemists who need to master the prerequisites for a graduate course in mathematics.
Author: Brian Hassard
Publisher:
ISBN: 9781086475210
Category :
Languages : en
Pages : 312
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Book Description
Textbook for MTH 306 at University at Buffalo, State University of New York. This is a derivative work based on Jiri Lebl's Notes on Diffy Q's: Differential Equations for Engineers (available at https://www.jirka.org/diffyqs/), featuring additions by B. Hassard, J. Javor, J. Ringland, and A. Viraj. Chapters 4 and 5 of Lebl's original are omitted from this derivative work.
Author: P. K. Subramanian
Publisher:
ISBN: 9781974473014
Category : Differential equations
Languages : en
Pages : 258
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Book Description
The aim of this book is to make the study of differential equations enjoyable. Many standard texts use only the method of undetermined coefficients. These methods, however, are laborious and painstaking. In this book we introduce the elegant and powerful operator methods; we use them early and consistently. The student is also exposed to the undetermined coefficients method so that he/she can choose the appropriate method in a given situation. In the same vein, we illustrate the use of Leibniz's theorem to easily find the coefficients when one uses power series methods. Many applications are included, such as determination of orthogonal trajectories, envelopes, discussion of predator-prey and interspecies competition problems. There are ample exercises with answers and hints for solutions where necessary. This book has been extensively class tested.
Author: Shepley L. Ross
Publisher: John Wiley & Sons
ISBN:
Category : Mathematics
Languages : en
Pages : 736
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Book Description
Fundamental methods and applications; Fundamental theory and further methods;
Author: Edwin Herman
Publisher:
ISBN: 9781947172838
Category : Calculus
Languages : en
Pages : 0
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Book Description
Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 3 covers parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations.
Author: Gilbert Strang
Publisher: Wellesley-Cambridge Press
ISBN: 9780980232790
Category : Mathematics
Languages : en
Pages : 0
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Book Description
Differential equations and linear algebra are two central topics in the undergraduate mathematics curriculum. This innovative textbook allows the two subjects to be developed either separately or together, illuminating the connections between two fundamental topics, and giving increased flexibility to instructors. It can be used either as a semester-long course in differential equations, or as a one-year course in differential equations, linear algebra, and applications. Beginning with the basics of differential equations, it covers first and second order equations, graphical and numerical methods, and matrix equations. The book goes on to present the fundamentals of vector spaces, followed by eigenvalues and eigenvectors, positive definiteness, integral transform methods and applications to PDEs. The exposition illuminates the natural correspondence between solution methods for systems of equations in discrete and continuous settings. The topics draw on the physical sciences, engineering and economics, reflecting the author's distinguished career as an applied mathematician and expositor.
