An Introduction To Differential Equations With Difference Equations Fourier Series And Partial Differential Equations
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Author |
: N. Finizio |
Publisher |
: PWS Publishing Company |
Total Pages |
: 602 |
Release |
: 1982 |
ISBN-10 |
: STANFORD:36105032629227 |
ISBN-13 |
: |
Rating |
: 4/5 (27 Downloads) |
Synopsis An Introduction to Differential Equations, with Difference Equations, Fourier Series and Partial Differential Equations by : N. Finizio
Author |
: Jeffery M. Cooper |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 549 |
Release |
: 2012-12-06 |
ISBN-10 |
: 9781461217541 |
ISBN-13 |
: 1461217547 |
Rating |
: 4/5 (41 Downloads) |
Synopsis Introduction to Partial Differential Equations with MATLAB by : Jeffery M. Cooper
Overview The subject of partial differential equations has an unchanging core of material but is constantly expanding and evolving. The core consists of solution methods, mainly separation of variables, for boundary value problems with constant coeffi cients in geometrically simple domains. Too often an introductory course focuses exclusively on these core problems and techniques and leaves the student with the impression that there is no more to the subject. Questions of existence, uniqueness, and well-posedness are ignored. In particular there is a lack of connection between the analytical side of the subject and the numerical side. Furthermore nonlinear problems are omitted because they are too hard to deal with analytically. Now, however, the availability of convenient, powerful computational software has made it possible to enlarge the scope of the introductory course. My goal in this text is to give the student a broader picture of the subject. In addition to the basic core subjects, I have included material on nonlinear problems and brief discussions of numerical methods. I feel that it is important for the student to see nonlinear problems and numerical methods at the beginning of the course, and not at the end when we run usually run out of time. Furthermore, numerical methods should be introduced for each equation as it is studied, not lumped together in a final chapter.
Author |
: Aslak Tveito |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 402 |
Release |
: 2008-01-21 |
ISBN-10 |
: 9780387227733 |
ISBN-13 |
: 0387227733 |
Rating |
: 4/5 (33 Downloads) |
Synopsis Introduction to Partial Differential Equations by : Aslak Tveito
Combining both the classical theory and numerical techniques for partial differential equations, this thoroughly modern approach shows the significance of computations in PDEs and illustrates the strong interaction between mathematical theory and the development of numerical methods. Great care has been taken throughout the book to seek a sound balance between these techniques. The authors present the material at an easy pace and exercises ranging from the straightforward to the challenging have been included. In addition there are some "projects" suggested, either to refresh the students memory of results needed in this course, or to extend the theories developed in the text. Suitable for undergraduate and graduate students in mathematics and engineering.
Author |
: Arne Broman |
Publisher |
: Courier Corporation |
Total Pages |
: 196 |
Release |
: 2012-04-27 |
ISBN-10 |
: 9780486153018 |
ISBN-13 |
: 0486153010 |
Rating |
: 4/5 (18 Downloads) |
Synopsis Introduction to Partial Differential Equations by : Arne Broman
The self-contained treatment covers Fourier series, orthogonal systems, Fourier and Laplace transforms, Bessel functions, and partial differential equations of the first and second orders. 266 exercises with solutions. 1970 edition.
Author |
: Zhilin Li |
Publisher |
: World Scientific |
Total Pages |
: 218 |
Release |
: 2021-09-23 |
ISBN-10 |
: 9789811228643 |
ISBN-13 |
: 9811228647 |
Rating |
: 4/5 (43 Downloads) |
Synopsis Introduction To Partial Differential Equations (With Maple), An: A Concise Course by : Zhilin Li
The book is designed for undergraduate or beginning level graduate students, and students from interdisciplinary areas including engineers, and others who need to use partial differential equations, Fourier series, Fourier and Laplace transforms. The prerequisite is a basic knowledge of calculus, linear algebra, and ordinary differential equations.The textbook aims to be practical, elementary, and reasonably rigorous; the book is concise in that it describes fundamental solution techniques for first order, second order, linear partial differential equations for general solutions, fundamental solutions, solution to Cauchy (initial value) problems, and boundary value problems for different PDEs in one and two dimensions, and different coordinates systems. Analytic solutions to boundary value problems are based on Sturm-Liouville eigenvalue problems and series solutions.The book is accompanied with enough well tested Maple files and some Matlab codes that are available online. The use of Maple makes the complicated series solution simple, interactive, and visible. These features distinguish the book from other textbooks available in the related area.
Author |
: Ravi P. Agarwal |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 422 |
Release |
: 2008-11-13 |
ISBN-10 |
: 9780387791463 |
ISBN-13 |
: 0387791469 |
Rating |
: 4/5 (63 Downloads) |
Synopsis Ordinary and Partial Differential Equations by : Ravi P. Agarwal
In this undergraduate/graduate textbook, the authors introduce ODEs and PDEs through 50 class-tested lectures. Mathematical concepts are explained with clarity and rigor, using fully worked-out examples and helpful illustrations. Exercises are provided at the end of each chapter for practice. The treatment of ODEs is developed in conjunction with PDEs and is aimed mainly towards applications. The book covers important applications-oriented topics such as solutions of ODEs in form of power series, special functions, Bessel functions, hypergeometric functions, orthogonal functions and polynomials, Legendre, Chebyshev, Hermite, and Laguerre polynomials, theory of Fourier series. Undergraduate and graduate students in mathematics, physics and engineering will benefit from this book. The book assumes familiarity with calculus.
Author |
: Nakhle H. Asmar |
Publisher |
: Courier Dover Publications |
Total Pages |
: 818 |
Release |
: 2017-03-23 |
ISBN-10 |
: 9780486820835 |
ISBN-13 |
: 0486820831 |
Rating |
: 4/5 (35 Downloads) |
Synopsis Partial Differential Equations with Fourier Series and Boundary Value Problems by : Nakhle H. Asmar
Rich in proofs, examples, and exercises, this widely adopted text emphasizes physics and engineering applications. The Student Solutions Manual can be downloaded free from Dover's site; instructions for obtaining the Instructor Solutions Manual is included in the book. 2004 edition, with minor revisions.
Author |
: Stanley J. Farlow |
Publisher |
: Courier Corporation |
Total Pages |
: 642 |
Release |
: 2012-10-23 |
ISBN-10 |
: 9780486135137 |
ISBN-13 |
: 0486135136 |
Rating |
: 4/5 (37 Downloads) |
Synopsis An Introduction to Differential Equations and Their Applications by : Stanley J. Farlow
This introductory text explores 1st- and 2nd-order differential equations, series solutions, the Laplace transform, difference equations, much more. Numerous figures, problems with solutions, notes. 1994 edition. Includes 268 figures and 23 tables.
Author |
: Kuzman Adzievski |
Publisher |
: CRC Press |
Total Pages |
: 645 |
Release |
: 2016-04-19 |
ISBN-10 |
: 9781466510579 |
ISBN-13 |
: 1466510579 |
Rating |
: 4/5 (79 Downloads) |
Synopsis Introduction to Partial Differential Equations for Scientists and Engineers Using Mathematica by : Kuzman Adzievski
With special emphasis on engineering and science applications, this textbook provides a mathematical introduction to the field of partial differential equations (PDEs). The text represents a new approach to PDEs at the undergraduate level by presenting computation as an integral part of the study of differential equations. The authors use the computer software Mathematica (R) along with graphics to improve understanding and interpretation of concepts. The book also presents solutions to selected examples as well as exercises in each chapter. Topics include Laplace and Fourier transforms as well as Sturm-Liuville Boundary Value Problems.
Author |
: Ioannis P Stavroulakis |
Publisher |
: World Scientific Publishing Company |
Total Pages |
: 319 |
Release |
: 2004-04-27 |
ISBN-10 |
: 9789813106307 |
ISBN-13 |
: 9813106301 |
Rating |
: 4/5 (07 Downloads) |
Synopsis Partial Differential Equations: An Introduction With Mathematica And Maple (2nd Edition) by : Ioannis P Stavroulakis
This textbook is a self-contained introduction to partial differential equations.It has been designed for undergraduates and first year graduate students majoring in mathematics, physics, engineering, or science.The text provides an introduction to the basic equations of mathematical physics and the properties of their solutions, based on classical calculus and ordinary differential equations. Advanced concepts such as weak solutions and discontinuous solutions of nonlinear conservation laws are also considered.