Elements Of Ordinary Differential Equations And Special Functions

Download Elements Of Ordinary Differential Equations And Special Functions full books in PDF, epub, and Kindle. Read online Elements Of Ordinary Differential Equations And Special Functions ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Elements Of Ordinary Differential Equations And Special Functions

Author : A. Chakrabarti
Publisher : New Age International
ISBN 13 : 9788122408805
Total Pages : 172 pages
Book Rating : 4.4/5 (88 download)

DOWNLOAD NOW!

Book Synopsis Elements Of Ordinary Differential Equations And Special Functions by : A. Chakrabarti

Download or read book Elements Of Ordinary Differential Equations And Special Functions written by A. Chakrabarti and published by New Age International. This book was released on 2006 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ordinary Differential Equations And Special Functions Form A Central Part In Many Branches Of Physics And Engineering. A Large Number Of Books Already Exist In These Areas And Informations Are Therefore Available In A Scattered Form. The Present Book Tries To Bring Out Some Of The Most Important Concepts Associated With Linear Ordinary Differential Equations And The Special Functions Of Frequent Occurrence, In A Rather Elementary Form.The Methods Of Obtaining Series Solution Of Second Order Linear Ordinary Differential Equations Near An Ordinary Point As Well As Near A Regular Singular Point Have Been Explained In An Elegant Manner And, As Applications Of These Methods, The Special Functions Of Hermite And Bessel Have Been Dealt With.The Special Functions Of Legendre And Laguerre Have Also Been Discussed Briefly. An Appendix Is Prepared To Deal With Other Special Functions Such As The Beta Function, The Gamma Function, The Hypergeometric Functions And The Chebyshev Polynomials In A Short Form.The Topics Involving The Existence Theory And The Eigenvalue Problems Have Also Been Discussed In The Book To Create Motivation For Further Studies In The Subject.Each Chapter Is Supplemented With A Number Of Worked Out Examples As Well As A Number Of Problems To Be Handled For Better Understanding Of The Subject. R Contains A List Of Sixteen Important Books Forming The Bibliography.In This Second Edition The Text Has Been Thoroughly Revised.

Elements of Ordinary Differential Equations and Special Functions

Author : Aloknath Chakrabarti
Publisher :
ISBN 13 : 9788122402087
Total Pages : 148 pages
Book Rating : 4.4/5 (2 download)

DOWNLOAD NOW!

Book Synopsis Elements of Ordinary Differential Equations and Special Functions by : Aloknath Chakrabarti

Download or read book Elements of Ordinary Differential Equations and Special Functions written by Aloknath Chakrabarti and published by . This book was released on 1990 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elements of Ordinary Differential Equations and Special Functions

Author : Aloknath Chakrabarti
Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 164 pages
Book Rating : 4.3/5 (91 download)

DOWNLOAD NOW!

Book Synopsis Elements of Ordinary Differential Equations and Special Functions by : Aloknath Chakrabarti

Download or read book Elements of Ordinary Differential Equations and Special Functions written by Aloknath Chakrabarti and published by John Wiley & Sons. This book was released on 1990 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ordinary differential equations and special functions form a central part in many branches of Physics and Engineering. This book brings out some of the most important concepts associated with linear ordinary differential equations and the special functions of frequent occurrence. Each chapter is supplemented with a number of worked examples and problems to give the student a greater understanding of the subject.

Special Functions and Analysis of Differential Equations

Author : Praveen Agarwal
Publisher : CRC Press
ISBN 13 : 1000078566
Total Pages : 371 pages
Book Rating : 4.0/5 ( download)

DOWNLOAD NOW!

Book Synopsis Special Functions and Analysis of Differential Equations by : Praveen Agarwal

Download or read book Special Functions and Analysis of Differential Equations written by Praveen Agarwal and published by CRC Press. This book was released on 2020-09-08 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential Equations are very important tools in Mathematical Analysis. They are widely found in mathematics itself and in its applications to statistics, computing, electrical circuit analysis, dynamical systems, economics, biology, and so on. Recently there has been an increasing interest in and widely-extended use of differential equations and systems of fractional order (that is, of arbitrary order) as better models of phenomena in various physics, engineering, automatization, biology and biomedicine, chemistry, earth science, economics, nature, and so on. Now, new unified presentation and extensive development of special functions associated with fractional calculus are necessary tools, being related to the theory of differentiation and integration of arbitrary order (i.e., fractional calculus) and to the fractional order (or multi-order) differential and integral equations. This book provides learners with the opportunity to develop an understanding of advancements of special functions and the skills needed to apply advanced mathematical techniques to solve complex differential equations and Partial Differential Equations (PDEs). Subject matters should be strongly related to special functions involving mathematical analysis and its numerous applications. The main objective of this book is to highlight the importance of fundamental results and techniques of the theory of complex analysis for differential equations and PDEs and emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Specific topics include but are not limited to Partial differential equations Least squares on first-order system Sequence and series in functional analysis Special functions related to fractional (non-integer) order control systems and equations Various special functions related to generalized fractional calculus Operational method in fractional calculus Functional analysis and operator theory Mathematical physics Applications of numerical analysis and applied mathematics Computational mathematics Mathematical modeling This book provides the recent developments in special functions and differential equations and publishes high-quality, peer-reviewed book chapters in the area of nonlinear analysis, ordinary differential equations, partial differential equations, and related applications.

Linear Differential Equations and Group Theory from Riemann to Poincare

Author : Jeremy Gray
Publisher : Springer Science & Business Media
ISBN 13 : 0817647732
Total Pages : 357 pages
Book Rating : 4.8/5 (176 download)

DOWNLOAD NOW!

Book Synopsis Linear Differential Equations and Group Theory from Riemann to Poincare by : Jeremy Gray

Download or read book Linear Differential Equations and Group Theory from Riemann to Poincare written by Jeremy Gray and published by Springer Science & Business Media. This book was released on 2010-01-07 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a study of how a particular vision of the unity of mathematics, often called geometric function theory, was created in the 19th century. The central focus is on the convergence of three mathematical topics: the hypergeometric and related linear differential equations, group theory, and on-Euclidean geometry. The text for this second edition has been greatly expanded and revised, and the existing appendices enriched. The exercises have been retained, making it possible to use the book as a companion to mathematics courses at the graduate level.

Elements of Ordinary Differential Equations

Author : Wilfred Kaplan
Publisher :
ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.3/5 (91 download)

DOWNLOAD NOW!

Book Synopsis Elements of Ordinary Differential Equations by : Wilfred Kaplan

Download or read book Elements of Ordinary Differential Equations written by Wilfred Kaplan and published by . This book was released on 1964 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to serve as a text for a first course on differential equations. It provides more than enough material for a one-semester course. The book is a much shortened version of the author's Ordinary Differential Equations (525 pp., Addison-Wesley Publishing Company 1958). The principal differences are as follows: the section on matrices and the chapters on exact differential equations of higher order, phase plane analysis, and fundamental theory (proofs of existence theorems) are omitted; the treatment of linear equations from the point of view of the systems designer (input-output analysis) is considerably abbreviated; the material is regrouped in 10 short chapters. With all these changes, the present volume still retains the principal aspects of the longer work: the emphasis on gaining insight and understanding as opposed to pure manipulative skill; the use of physical examples both as illustrations of the mathematical methods and as aids to understanding these methods. Chapter 1 presents the important concepts and the main problems. By a study of simple numerical methods, an understanding of the existence theorem is gained. Chapter 2, devoted to equations of first order and first degree, gives some special procedures for solving problems in explicit form but also emphasizes understanding the processes. Chapter 3 gives a number of applications of first order equations; for the linear equations, some discussion of the systems point of view is given. Chapter 4 considers linear equations of arbitrary order, presents the main theorems, and methods for equations with constant coefficients; additional methods, based on differential operators and Laplace transforms, are given in Chapter 5. Chapter 6 treats applications of linear equations, including such topics as stability, transients, response to sinusoidal forcing functions, with illustrations in mechanics and circuit theory. Chapter 7 is devoted to simultaneous linear equations, with emphasis on the method of exponential substitution; operational methods are also introduced; applications are treated briefly. Chapter 8 discusses equations not of first degree and introduces the concept of singular solution. Chapter 9 covers power series solutions, and includes solution of linear equations at regular singular points.

Special Functions

Author : Sergeĭ I︠U︡rʹevich Slavi︠a︡nov
Publisher : Oxford University Press, USA
ISBN 13 : 9780198505730
Total Pages : 318 pages
Book Rating : 4.5/5 (57 download)

DOWNLOAD NOW!

Book Synopsis Special Functions by : Sergeĭ I︠U︡rʹevich Slavi︠a︡nov

Download or read book Special Functions written by Sergeĭ I︠U︡rʹevich Slavi︠a︡nov and published by Oxford University Press, USA. This book was released on 2000 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of this book is the theory of special functions, not considered as a list of functions exhibiting a certain range of properties, but based on the unified study of singularities of second-order ordinary differential equations in the complex domain. The number and characteristics of the singularities serve as a basis for classification of each individual special function. Links between linear special functions (as solutions of linear second-order equations), and non-linear special functions (as solutions of Painlevé equations) are presented as a basic and new result. Many applications to different areas of physics are shown and discussed. The book is written from a practical point of view and will address all those scientists whose work involves applications of mathematical methods. Lecturers, graduate students and researchers will find this a useful text and reference work.

Ordinary Differential Equations

Author : James Morris Page
Publisher :
ISBN 13 :
Total Pages : 252 pages
Book Rating : 4.:/5 (334 download)

DOWNLOAD NOW!

Book Synopsis Ordinary Differential Equations by : James Morris Page

Download or read book Ordinary Differential Equations written by James Morris Page and published by . This book was released on 1897 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elements of Ordinary Differential Equations

Author : Louis Legendre Pennisi
Publisher :
ISBN 13 :
Total Pages : 792 pages
Book Rating : 4.:/5 (318 download)

DOWNLOAD NOW!

Book Synopsis Elements of Ordinary Differential Equations by : Louis Legendre Pennisi

Download or read book Elements of Ordinary Differential Equations written by Louis Legendre Pennisi and published by . This book was released on 1972 with total page 792 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elements of Ordinary Differential Equations

Author : Michael Golomb
Publisher :
ISBN 13 :
Total Pages : 382 pages
Book Rating : 4.3/5 (91 download)

DOWNLOAD NOW!

Book Synopsis Elements of Ordinary Differential Equations by : Michael Golomb

Download or read book Elements of Ordinary Differential Equations written by Michael Golomb and published by . This book was released on 1950 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elements of Partial Differential Equations

Author : Ian Naismith Sneddon
Publisher :
ISBN 13 :
Total Pages : 352 pages
Book Rating : 4.F/5 ( download)

DOWNLOAD NOW!

Book Synopsis Elements of Partial Differential Equations by : Ian Naismith Sneddon

Download or read book Elements of Partial Differential Equations written by Ian Naismith Sneddon and published by . This book was released on 1957 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Linear Ordinary Differential Equations

Author : Earl A. Coddington
Publisher : SIAM
ISBN 13 : 9781611971439
Total Pages : 353 pages
Book Rating : 4.9/5 (714 download)

DOWNLOAD NOW!

Book Synopsis Linear Ordinary Differential Equations by : Earl A. Coddington

Download or read book Linear Ordinary Differential Equations written by Earl A. Coddington and published by SIAM. This book was released on 1997-01-01 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear Ordinary Differential Equations, a text for advanced undergraduate or beginning graduate students, presents a thorough development of the main topics in linear differential equations. A rich collection of applications, examples, and exercises illustrates each topic. The authors reinforce students' understanding of calculus, linear algebra, and analysis while introducing the many applications of differential equations in science and engineering. Three recurrent themes run through the book. The methods of linear algebra are applied directly to the analysis of systems with constant or periodic coefficients and serve as a guide in the study of eigenvalues and eigenfunction expansions. The use of power series, beginning with the matrix exponential function leads to the special functions solving classical equations. Techniques from real analysis illuminate the development of series solutions, existence theorems for initial value problems, the asymptotic behavior solutions, and the convergence of eigenfunction expansions.

Spectral and Scattering Theory for Ordinary Differential Equations

Author : Christer Bennewitz
Publisher : Springer Nature
ISBN 13 : 3030590887
Total Pages : 379 pages
Book Rating : 4.0/5 (35 download)

DOWNLOAD NOW!

Book Synopsis Spectral and Scattering Theory for Ordinary Differential Equations by : Christer Bennewitz

Download or read book Spectral and Scattering Theory for Ordinary Differential Equations written by Christer Bennewitz and published by Springer Nature. This book was released on 2020-10-27 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate textbook offers an introduction to the spectral theory of ordinary differential equations, focusing on Sturm–Liouville equations. Sturm–Liouville theory has applications in partial differential equations and mathematical physics. Examples include classical PDEs such as the heat and wave equations. Written by leading experts, this book provides a modern, systematic treatment of the theory. The main topics are the spectral theory and eigenfunction expansions for Sturm–Liouville equations, as well as scattering theory and inverse spectral theory. It is the first book offering a complete account of the left-definite theory for Sturm–Liouville equations. The modest prerequisites for this book are basic one-variable real analysis, linear algebra, as well as an introductory course in complex analysis. More advanced background required in some parts of the book is completely covered in the appendices. With exercises in each chapter, the book is suitable for advanced undergraduate and graduate courses, either as an introduction to spectral theory in Hilbert space, or to the spectral theory of ordinary differential equations. Advanced topics such as the left-definite theory and the Camassa–Holm equation, as well as bibliographical notes, make the book a valuable reference for experts.

Elements of Ordinary Differential Equations

Author : Michael Golomb
Publisher :
ISBN 13 :
Total Pages : 422 pages
Book Rating : 4.:/5 (319 download)

DOWNLOAD NOW!

Book Synopsis Elements of Ordinary Differential Equations by : Michael Golomb

Download or read book Elements of Ordinary Differential Equations written by Michael Golomb and published by . This book was released on 1965 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Linear Systems of Ordinary Differential Equations, with Periodic and Quasi-Periodic Coefficients

Author : Erugin
Publisher : Academic Press
ISBN 13 : 0080955355
Total Pages : 295 pages
Book Rating : 4.0/5 (89 download)

DOWNLOAD NOW!

Book Synopsis Linear Systems of Ordinary Differential Equations, with Periodic and Quasi-Periodic Coefficients by : Erugin

Download or read book Linear Systems of Ordinary Differential Equations, with Periodic and Quasi-Periodic Coefficients written by Erugin and published by Academic Press. This book was released on 1966-01-01 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear Systems of Ordinary Differential Equations, with Periodic and Quasi-Periodic Coefficients

Ordinary Differential Equations

Author : Philip Hartman
Publisher : SIAM
ISBN 13 : 9780898719222
Total Pages : 612 pages
Book Rating : 4.7/5 (192 download)

DOWNLOAD NOW!

Book Synopsis Ordinary Differential Equations by : Philip Hartman

Download or read book Ordinary Differential Equations written by Philip Hartman and published by SIAM. This book was released on 1982-01-01 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ordinary Differential Equations covers the fundamentals of the theory of ordinary differential equations (ODEs), including an extensive discussion of the integration of differential inequalities, on which this theory relies heavily. In addition to these results, the text illustrates techniques involving simple topological arguments, fixed point theorems, and basic facts of functional analysis. Unlike many texts, which supply only the standard simplified theorems, this book presents the basic theory of ODEs in a general way. This SIAM reissue of the 1982 second edition covers invariant manifolds, perturbations, and dichotomies, making the text relevant to current studies of geometrical theory of differential equations and dynamical systems. In particular, Ordinary Differential Equations includes the proof of the Hartman-Grobman theorem on the equivalence of a nonlinear to a linear flow in the neighborhood of a hyperbolic stationary point, as well as theorems on smooth equivalences, the smoothness of invariant manifolds, and the reduction of problems on ODEs to those on "maps" (Poincaré). Audience: readers should have knowledge of matrix theory and the ability to deal with functions of real variables.

Ordinary Differential Equations and Dynamical Systems

Author : Gerald Teschl
Publisher : American Mathematical Soc.
ISBN 13 : 0821883283
Total Pages : 356 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!

Book Synopsis Ordinary Differential Equations and Dynamical Systems by : Gerald Teschl

Download or read book Ordinary Differential Equations and Dynamical Systems written by Gerald Teschl and published by American Mathematical Soc.. This book was released on 2012-08-30 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a self-contained introduction to ordinary differential equations and dynamical systems suitable for beginning graduate students. The first part begins with some simple examples of explicitly solvable equations and a first glance at qualitative methods. Then the fundamental results concerning the initial value problem are proved: existence, uniqueness, extensibility, dependence on initial conditions. Furthermore, linear equations are considered, including the Floquet theorem, and some perturbation results. As somewhat independent topics, the Frobenius method for linear equations in the complex domain is established and Sturm-Liouville boundary value problems, including oscillation theory, are investigated. The second part introduces the concept of a dynamical system. The Poincare-Bendixson theorem is proved, and several examples of planar systems from classical mechanics, ecology, and electrical engineering are investigated. Moreover, attractors, Hamiltonian systems, the KAM theorem, and periodic solutions are discussed. Finally, stability is studied, including the stable manifold and the Hartman-Grobman theorem for both continuous and discrete systems. The third part introduces chaos, beginning with the basics for iterated interval maps and ending with the Smale-Birkhoff theorem and the Melnikov method for homoclinic orbits. The text contains almost three hundred exercises. Additionally, the use of mathematical software systems is incorporated throughout, showing how they can help in the study of differential equations.