# Search Results for "differential-equations-for-engineers-and-scientists"

## Differential Equations for Engineers and Scientists

**Author**: C.G. Lambe,C.J. Tranter**Publisher:**Courier Dover Publications**ISBN:**048682408X**Category:**Mathematics**Page:**384**View:**2037

Concise, applications-oriented undergraduate text covers solutions of first-order equations, linear equations with constant coefficients, simultaneous equations, theory of nonlinear differential equations, much more. Nearly 900 worked examples, exercises, solutions. 1961 edition.

## Handbook of Linear Partial Differential Equations for Engineers and Scientists, Second Edition

**Author**: Andrei D. Polyanin,Vladimir E. Nazaikinskii**Publisher:**CRC Press**ISBN:**1466581492**Category:**Mathematics**Page:**1609**View:**773

Includes nearly 4,000 linear partial differential equations (PDEs) with solutions Presents solutions of numerous problems relevant to heat and mass transfer, wave theory, hydrodynamics, aerodynamics, elasticity, acoustics, electrodynamics, diffraction theory, quantum mechanics, chemical engineering sciences, electrical engineering, and other fields Outlines basic methods for solving various problems in science and engineering Contains much more linear equations, problems, and solutions than any other book currently available Provides a database of test problems for numerical and approximate analytical methods for solving linear PDEs and systems of coupled PDEs New to the Second Edition More than 700 pages with 1,500+ new first-, second-, third-, fourth-, and higher-order linear equations with solutions Systems of coupled PDEs with solutions Some analytical methods, including decomposition methods and their applications Symbolic and numerical methods for solving linear PDEs with Maple, Mathematica, and MATLAB® Many new problems, illustrative examples, tables, and figures To accommodate different mathematical backgrounds, the authors avoid wherever possible the use of special terminology, outline some of the methods in a schematic, simplified manner, and arrange the material in increasing order of complexity.

## Partial Differential Equations for Engineers and Scientists

**Author**: J. N. Sharma,Kehar Singh**Publisher:**Alpha Science International Limited**ISBN:**9781842650288**Category:**Mathematics**Page:**268**View:**2204

This comprehensive and compact text book, primarily designed for advanced undergraduate and postgraduate students in mathematics, physics and engineering, presents various well known mathematical techniques such as variable of separable method, integral transform techniques and Green s functions method to solve a number of mathematical problems. This book is enriched with solved examples and supplemented with a variety of exercises at the end of each chapter. The knowledge of advanced calculus, Fourier series and some understanding about ordinary differential equations as well as special functions are the prerequisites for the book. Senior undergraduate and postgraduate students offering courses in partial differential equations, researchers, scientists and engineers working in R&D organisations would find the book to be most useful.

## Differential Equations for Engineers and Scientists

**Author**: Yunus A. Çengel,William John Palm**Publisher:**McGraw-Hill Europe**ISBN:**9780071310420**Category:**Differential equations**Page:**611**View:**1440

Differential Equations for Engineers and Scientists is intended to be used in a first course on differential equations taken by science and engineering students. It covers the standard topics on differential equations with a wealth of applications drawn from engineering and science--with more engineering-specific examples than any other similar text. The text is the outcome of the lecture notes developed by the authors over the years in teaching differential equations to engineering students. Like Yunus Cengel's other texts, the material is introduced at a level that a typical student can follow comfortably, and the authors have made the text speak to the students and not over them. Differential Equations for Engineers and Scientists is written in plain language to help students learn the material without being hampered by excessive rigor or jargon. The friendly tone and the logical order are designed to motivate the student to read the book with interest and enthusiasm.

## Ordinary differential equations for engineering and science students

**Author**: Leslie Booth Jones**Publisher:**N.A**ISBN:**9780258969731**Category:**Mathematics**Page:**220**View:**9607

## Differential Equations and Group Methods for Scientists and Engineers

**Author**: James M. Hill**Publisher:**CRC Press**ISBN:**9780849344428**Category:**Mathematics**Page:**224**View:**5218

Differential Equations and Group Methods for Scientists and Engineers presents a basic introduction to the technically complex area of invariant one-parameter Lie group methods and their use in solving differential equations. The book features discussions on ordinary differential equations (first, second, and higher order) in addition to partial differential equations (linear and nonlinear). Each chapter contains worked examples with several problems at the end; answers to these problems and hints on how to solve them are found at the back of the book. Students and professionals in mathematics, science, and engineering will find this book indispensable for developing a fundamental understanding of how to use invariant one-parameter group methods to solve differential equations.

## Partial Differential Equations for Scientists and Engineers

**Author**: Stanley J. Farlow**Publisher:**Courier Corporation**ISBN:**0486134733**Category:**Mathematics**Page:**414**View:**4290

Practical text shows how to formulate and solve partial differential equations. Coverage of diffusion-type problems, hyperbolic-type problems, elliptic-type problems, numerical and approximate methods. Solution guide available upon request. 1982 edition.

## Fuzzy Differential Equations and Applications for Engineers and Scientists

**Author**: S. Chakraverty,Smita Tapaswini,Diptiranjan Behera**Publisher:**CRC Press**ISBN:**1315355531**Category:**Mathematics**Page:**224**View:**1636

Differential equations play a vital role in the modeling of physical and engineering problems, such as those in solid and fluid mechanics, viscoelasticity, biology, physics, and many other areas. In general, the parameters, variables and initial conditions within a model are considered as being defined exactly. In reality there may be only vague, imprecise or incomplete information about the variables and parameters available. This can result from errors in measurement, observation, or experimental data; application of different operating conditions; or maintenance induced errors. To overcome uncertainties or lack of precision, one can use a fuzzy environment in parameters, variables and initial conditions in place of exact (fixed) ones, by turning general differential equations into Fuzzy Differential Equations ("FDEs"). In real applications it can be complicated to obtain exact solution of fuzzy differential equations due to complexities in fuzzy arithmetic, creating the need for use of reliable and efficient numerical techniques in the solution of fuzzy differential equations. These include fuzzy ordinary and partial, fuzzy linear and nonlinear, and fuzzy arbitrary order differential equations. This unique work?provides a new direction for the reader in the use of basic concepts of fuzzy differential equations, solutions and its applications. It can serve as an essential reference work for students, scholars, practitioners, researchers and academicians in engineering and science who need to model uncertain physical problems.

## Introduction to Partial Differential Equations for Scientists and Engineers Using Mathematica

**Author**: Kuzman Adzievski,Abul Hasan Siddiqi**Publisher:**CRC Press**ISBN:**1466510579**Category:**Mathematics**Page:**648**View:**8981

With a special emphasis on engineering and science applications, this textbook provides a mathematical introduction to PDEs at the undergraduate level. It takes a new approach to PDEs by presenting computation as an integral part of the study of differential equations. The authors use Mathematica® along with graphics to improve understanding and interpretation of concepts. They also present exercises in each chapter and solutions to selected examples. Topics discussed include Laplace and Fourier transforms as well as Sturm-Liouville boundary value problems.

## Boundary Value Problems of Linear Partial Differential Equations for Engineers and Scientists

**Author**: Shien-siu Shu**Publisher:**World Scientific**ISBN:**9789971504182**Category:**Mathematics**Page:**270**View:**2662

This book is a revised version of the author's lecture notes in a graduate course of applied mathematics. It is based on the idea that it may be more interesting to learn mathematics through the introduction of concrete examples. The materials are organised in a logical order that transmits the package of mathematical knowledge and methods to the students in an efficient manner.

## Nonlinear Partial Differential Equations for Scientists and Engineers

**Author**: Lokenath Debnath**Publisher:**Springer Science & Business Media**ISBN:**9780817682651**Category:**Mathematics**Page:**860**View:**5979

The revised and enlarged third edition of this successful book presents a comprehensive and systematic treatment of linear and nonlinear partial differential equations and their varied and updated applications. In an effort to make the book more useful for a diverse readership, updated modern examples of applications are chosen from areas of fluid dynamics, gas dynamics, plasma physics, nonlinear dynamics, quantum mechanics, nonlinear optics, acoustics, and wave propagation. Nonlinear Partial Differential Equations for Scientists and Engineers, Third Edition, improves on an already highly complete and accessible resource for graduate students and professionals in mathematics, physics, science, and engineering. It may be used to great effect as a course textbook, research reference, or self-study guide.

## Nonlinear Partial Differential Equations in Engineering and Applied Science

**Author**: Robert L. Sternberg,Anthony J. Kalinowski,John S. Papadakis**Publisher:**CRC Press**ISBN:**9780824769963**Category:**Mathematics**Page:**504**View:**6527

In this volume are twenty-eight papers from the Conference on Nonlinear Partial Differential Equationsin Engineering and Applied Science, sponsored by the Office of Naval Research and held at the Universityof Rhode Island in June, 1979. Included are contributions from an international group of distinguishedmathematicians, scientists, and engineers coming from a wide variety of disciplines and having a commoninterest in the application of mathematics, particularly nonlinear partial differential equations, to realworld problems.The subject matter ranges from almost purely mathematical topics in numerical analysis and bifurcationtheory to a host of practical applications that involve nonlinear partial differential equations, suchas fluid dynamics, nonlinear waves, elasticity, viscoelasticity, hyperelasticity, solitons, metallurgy, shocklessairfoil design, quantum fields, and Darcy's law on flows in porous media.Non/inear Partial Differential Equations in Engineering and Applied Science focuses on a variety oftopics of specialized, contemporary concern to mathematicians, physical and biological scientists, andengineers who work with phenomena that can be described by nonlinear partial differential equations.

## Artificial Neural Networks for Engineers and Scientists

*Solving Ordinary Differential Equations*

**Author**: S. Chakraverty,Susmita Mall**Publisher:**CRC Press**ISBN:**1351651315**Category:**Mathematics**Page:**150**View:**8277

Differential equations play a vital role in the fields of engineering and science. Problems in engineering and science can be modeled using ordinary or partial differential equations. Analytical solutions of differential equations may not be obtained easily, so numerical methods have been developed to handle them. Machine intelligence methods, such as Artificial Neural Networks (ANN), are being used to solve differential equations, and these methods are presented in Artificial Neural Networks for Engineers and Scientists: Solving Ordinary Differential Equations. This book shows how computation of differential equation becomes faster once the ANN model is properly developed and applied.

## Mathematical Methods for Engineers and Scientists 2

*Vector Analysis, Ordinary Differential Equations and Laplace Transforms*

**Author**: Kwong-Tin Tang**Publisher:**Springer Science & Business Media**ISBN:**3540302689**Category:**Science**Page:**339**View:**495

Pedagogical insights gained through 30 years of teaching applied mathematics led the author to write this set of student-oriented books. Topics such as complex analysis, matrix theory, vector and tensor analysis, Fourier analysis, integral transforms, ordinary and partial differential equations are presented in a discursive style that is readable and easy to follow. Numerous clearly stated, completely worked out examples together with carefully selected problem sets with answers are used to enhance students' understanding and manipulative skill. The goal is to help students feel comfortable and confident in using advanced mathematical tools in junior, senior, and beginning graduate courses.

## Differential Equations

*A Primer for Scientists and Engineers*

**Author**: Christian Constanda**Publisher:**Springer**ISBN:**3319502247**Category:**Mathematics**Page:**297**View:**7384

This textbook is designed with the needs of today’s student in mind. It is the ideal textbook for a first course in elementary differential equations for future engineers and scientists, including mathematicians. This book is accessible to anyone who has a basic knowledge of precalculus algebra and differential and integral calculus. Its carefully crafted text adopts a concise, simple, no-frills approach to differential equations, which helps students acquire a solid experience in many classical solution techniques. With a lighter accent on the physical interpretation of the results, a more manageable page count than comparable texts, a highly readable style, and over 1000 exercises designed to be solved without a calculating device, this book emphasizes the understanding and practice of essential topics in a succinct yet fully rigorous fashion. Apart from several other enhancements, the second edition contains one new chapter on numerical methods of solution. The book formally splits the "pure" and "applied" parts of the contents by placing the discussion of selected mathematical models in separate chapters. At the end of most of the 246 worked examples, the author provides the commands in Mathematica® for verifying the results. The book can be used independently by the average student to learn the fundamentals of the subject, while those interested in pursuing more advanced material can regard it as an easily taken first step on the way to the next level. Additionally, practitioners who encounter differential equations in their professional work will find this text to be a convenient source of reference.

## Handbook of Ordinary Differential Equations

*Exact Solutions, Methods, and Problems*

**Author**: Andrei D. Polyanin,Valentin F. Zaitsev**Publisher:**CRC Press**ISBN:**1466569409**Category:**Mathematics**Page:**1496**View:**2857

The Handbook of Ordinary Differential Equations: Exact Solutions, Methods, and Problems, is an exceptional and complete reference for scientists and engineers as it contains over 7,000 ordinary differential equations with solutions. This book contains more equations and methods used in the field than any other book currently available. Included in the handbook are exact, asymptotic, approximate analytical, numerical symbolic and qualitative methods that are used for solving and analyzing linear and nonlinear equations. The authors also present formulas for effective construction of solutions and many different equations arising in various applications like heat transfer, elasticity, hydrodynamics and more. This extensive handbook is the perfect resource for engineers and scientists searching for an exhaustive reservoir of information on ordinary differential equations.

## Applied Differential Equations for Scientists and Engineers

**Author**: M. Rahman**Publisher:**N.A**ISBN:**9781853120954**Category:**Mathematics**Page:**656**View:**7062

## Differential Equations for Scientists and Engineers

**Author**: J. B. Doshi**Publisher:**Alpha Science International Limited**ISBN:**9781842653661**Category:**Mathematics**Page:**326**View:**1756

This volume proposes to give a comprehensive treatment of differential equations problems and various solution methods for different types of equations commonly encountered in research problems in sciences and engineering disciplines. The book will be useful for a one semester course in differential equations.