Author | : George A. Articolo |

Publisher | : Academic Press |

Release Date | : 2009-03-23 |

ISBN 10 | : 0080885063 |

Pages | : 744 pages |

Partial Differential Equations and Boundary Value Problems with Maple, Second Edition, presents all of the material normally covered in a standard course on partial differential equations, while focusing on the natural union between this material and the powerful computational software, Maple. The Maple commands are so intuitive and easy to learn, students can learn what they need to know about the software in a matter of hours - an investment that provides substantial returns. Maple's animation capabilities allow students and practitioners to see real-time displays of the solutions of partial differential equations. This updated edition provides a quick overview of the software w/simple commands needed to get started. It includes review material on linear algebra and Ordinary Differential equations, and their contribution in solving partial differential equations. It also incorporates an early introduction to Sturm-Liouville boundary problems and generalized eigenfunction expansions. Numerous example problems and end of each chapter exercises are provided. Provides a quick overview of the software w/simple commands needed to get started Includes review material on linear algebra and Ordinary Differential equations, and their contribution in solving partial differential equations Incorporates an early introduction to Sturm-Liouville boundary problems and generalized eigenfunction expansions Numerous example problems and end of each chapter exercises

Author | : George A. Articolo |

Publisher | : Academic Press |

Release Date | : 1998-05-08 |

ISBN 10 | : 9780120644759 |

Pages | : 628 pages |

Integrating Maple V animation software and traditional topics of partial differential equations, this text discusses first and second-order differential equations, Sturm-Liouville eigenvalue problems, generalized Fourier series, the diffusion or heat equation and the wave equation in one and two spatial dimensions, the Laplace equation in two spatial dimensions, nonhomogenous versions of the diffusion and wave equations, and Laplace transform methods of solution. Annotation copyrighted by Book News, Inc., Portland, OR.

Author | : George A. Articolo |

Publisher | : Academic Press |

Release Date | : 2009-07-22 |

ISBN 10 | : 012381412X |

Pages | : 744 pages |

Student Solutions Manual, Partial Differential Equations & Boundary Value Problems with Maple

Author | : Ralph E. White,Venkat R. Subramanian |

Publisher | : Springer Science & Business Media |

Release Date | : 2010-02-06 |

ISBN 10 | : 9783642043116 |

Pages | : 860 pages |

This book presents Maple solutions to a wide range of problems relevant to chemical engineers and others. Many of these solutions use Maple’s symbolic capability to help bridge the gap between analytical and numerical solutions. The readers are strongly encouraged to refer to the references included in the book for a better understanding of the physics involved, and for the mathematical analysis. This book was written for a senior undergraduate or a first year graduate student course in chemical engineering. Most of the examples in this book were done in Maple 10. However, the codes should run in the most recent version of Maple. We strongly encourage the readers to use the classic worksheet (*. mws) option in Maple as we believe it is more user-friendly and robust. In chapter one you will find an introduction to Maple which includes simple basics as a convenience for the reader such as plotting, solving linear and nonlinear equations, Laplace transformations, matrix operations, ‘do loop,’ and ‘while loop. ’ Chapter two presents linear ordinary differential equations in section 1 to include homogeneous and nonhomogeneous ODEs, solving systems of ODEs using the matrix exponential and Laplace transform method. In section two of chapter two, nonlinear ordinary differential equations are presented and include simultaneous series reactions, solving nonlinear ODEs with Maple’s ‘dsolve’ command, stop conditions, differential algebraic equations, and steady state solutions. Chapter three addresses boundary value problems.

Author | : Martha L. Abell,James P. Braselton |

Publisher | : Academic Press |

Release Date | : 2000 |

ISBN 10 | : 9780120415601 |

Pages | : 719 pages |

Through the use of numerous examples that illustrate how to solve important applications using Maple V, Release 2, this book provides readers with a solid, hands-on introduction to ordinary and partial differental equations. Includes complete coverage of constructing and numerically computing and approximating solutions to ordinary and partial equations.

Author | : Stephen A. Wirkus,Randall J. Swift,Ryan Szypowski |

Publisher | : CRC Press |

Release Date | : 2016-11-26 |

ISBN 10 | : 9781498736053 |

Pages | : 848 pages |

Previous title: A course in ordinary differential equations / Stephen A. Wirkus, Randall J. Swift (Boca Raton: CRC Press, 2015).

Author | : Larry C. Andrews |

Publisher | : Harcourt College Pub |

Release Date | : 1986-01-01 |

ISBN 10 | : 9780155210875 |

Pages | : 488 pages |

Author | : Ioannis P. Stavroulakis,Stepan A. Tersian |

Publisher | : World Scientific |

Release Date | : 2004 |

ISBN 10 | : 9789812388155 |

Pages | : 306 pages |

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.

Author | : Erich Zauderer |

Publisher | : John Wiley & Sons |

Release Date | : 2011-10-24 |

ISBN 10 | : 1118031407 |

Pages | : 968 pages |

This new edition features the latest tools for modeling, characterizing, and solving partial differential equations The Third Edition of this classic text offers a comprehensive guide to modeling, characterizing, and solving partial differential equations (PDEs). The author provides all the theory and tools necessary to solve problems via exact, approximate, and numerical methods. The Third Edition retains all the hallmarks of its previous editions, including an emphasis on practical applications, clear writing style and logical organization, and extensive use of real-world examples. Among the new and revised material, the book features: * A new section at the end of each original chapter, exhibiting the use of specially constructed Maple procedures that solve PDEs via many of the methods presented in the chapters. The results can be evaluated numerically or displayed graphically. * Two new chapters that present finite difference and finite element methods for the solution of PDEs. Newly constructed Maple procedures are provided and used to carry out each of these methods. All the numerical results can be displayed graphically. * A related FTP site that includes all the Maple code used in the text. * New exercises in each chapter, and answers to many of the exercises are provided via the FTP site. A supplementary Instructor's Solutions Manual is available. The book begins with a demonstration of how the three basic types of equations-parabolic, hyperbolic, and elliptic-can be derived from random walk models. It then covers an exceptionally broad range of topics, including questions of stability, analysis of singularities, transform methods, Green's functions, and perturbation and asymptotic treatments. Approximation methods for simplifying complicated problems and solutions are described, and linear and nonlinear problems not easily solved by standard methods are examined in depth. Examples from the fields of engineering and physical sciences are used liberally throughout the text to help illustrate how theory and techniques are applied to actual problems. With its extensive use of examples and exercises, this text is recommended for advanced undergraduates and graduate students in engineering, science, and applied mathematics, as well as professionals in any of these fields. It is possible to use the text, as in the past, without use of the new Maple material.

Author | : Martha L. Abell,James P. Braselton |

Publisher | : Academic Press |

Release Date | : 2010-04-20 |

ISBN 10 | : 9780123846655 |

Pages | : 212 pages |

This text is for courses that are typically called (Introductory) Differential Equations, (Introductory) Partial Differential Equations, Applied Mathematics, and Fourier Series. Differential Equations is a text that follows a traditional approach and is appropriate for a first course in ordinary differential equations (including Laplace transforms) and a second course in Fourier series and boundary value problems. Some schools might prefer to move the Laplace transform material to the second course, which is why we have placed the chapter on Laplace transforms in its location in the text. Ancillaries like Differential Equations with Mathematica and/or Differential Equations with Maple would be recommended and/or required ancillaries. Because many students need a lot of pencil-and-paper practice to master the essential concepts, the exercise sets are particularly comprehensive with a wide range of exercises ranging from straightforward to challenging. Many different majors will require differential equations and applied mathematics, so there should be a lot of interest in an intro-level text like this. The accessible writing style will be good for non-math students, as well as for undergrad classes.

Author | : Dennis G. Zill,Warren S Wright |

Publisher | : Cengage Learning |

Release Date | : 2013-01-04 |

ISBN 10 | : 1285786246 |

Pages | : 384 pages |

Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Author | : Stephen L. Campbell,Richard Haberman |

Publisher | : Princeton University Press |

Release Date | : 2011-10-14 |

ISBN 10 | : 1400841321 |

Pages | : 472 pages |

Many textbooks on differential equations are written to be interesting to the teacher rather than the student. Introduction to Differential Equations with Dynamical Systems is directed toward students. This concise and up-to-date textbook addresses the challenges that undergraduate mathematics, engineering, and science students experience during a first course on differential equations. And, while covering all the standard parts of the subject, the book emphasizes linear constant coefficient equations and applications, including the topics essential to engineering students. Stephen Campbell and Richard Haberman--using carefully worded derivations, elementary explanations, and examples, exercises, and figures rather than theorems and proofs--have written a book that makes learning and teaching differential equations easier and more relevant. The book also presents elementary dynamical systems in a unique and flexible way that is suitable for all courses, regardless of length.