# 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:**1616

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.

## 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:**1109

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.

## Handbook of Linear Partial Differential Equations for Engineers and Scientists

**Author**: Andrei D. Polyanin**Publisher:**CRC Press**ISBN:**1420035320**Category:**Mathematics**Page:**800**View:**2792

Following in the footsteps of the authors' bestselling Handbook of Integral Equations and Handbook of Exact Solutions for Ordinary Differential Equations, this handbook presents brief formulations and exact solutions for more than 2,200 equations and problems in science and engineering. Parabolic, hyperbolic, and elliptic equations with constant and variable coefficients New exact solutions to linear equations and boundary value problems Equations and problems of general form that depend on arbitrary functions Formulas for constructing solutions to nonhomogeneous boundary value problems Second- and higher-order equations and boundary value problems An introductory section outlines the basic definitions, equations, problems, and methods of mathematical physics. It also provides useful formulas for expressing solutions to boundary value problems of general form in terms of the Green's function. Two supplements at the end of the book furnish more tools and information: Supplement A lists the properties of common special functions, including the gamma, Bessel, degenerate hypergeometric, and Mathieu functions, and Supplement B describes the methods of generalized and functional separation of variables for nonlinear partial differential equations.

## 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:**2158

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.

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

**Author**: Andrei D. Polyanin,Vladimir E. Nazaikinskii**Publisher:**Chapman and Hall/CRC**ISBN:**9781466581456**Category:**Mathematics**Page:**1632**View:**7463

This large mathematical reference for scientists and engineers now contains over 3,200 linear partial differential equations and linear physics equations with solutions as well as exact asymptotic, approximate analytical, numeric, symbolic and qualitative methods for solving and analyzing linear equations. In addition, first, second, third, fourth and higher order linear partial differential equations are considered. A number of new linear equations, exact solutions transformations and methods are described along with applications from heat and mass transfer, aerodynamics, elasticity, acoustics, electrostatics, and many other fields.

## Ordinary differential equations for engineering and science students

**Author**: Leslie Booth Jones**Publisher:**N.A**ISBN:**9780258969731**Category:**Mathematics**Page:**220**View:**9678

## Elementary Partial Differential Equations for Engineers and Scientists

**Author**: J. C. Wilhoit**Publisher:**N.A**ISBN:**N.A**Category:**Differential equations, Partial**Page:**305**View:**340

## A First Course in Differential Equations, Modeling, and Simulation

**Author**: Carlos A. Smith,Scott W. Campbell**Publisher:**CRC Press**ISBN:**1439850887**Category:**Mathematics**Page:**345**View:**7485

Emphasizing a practical approach for engineers and scientists, A First Course in Differential Equations, Modeling, and Simulation avoids overly theoretical explanations and shows readers how differential equations arise from applying basic physical principles and experimental observations to engineering systems. It also covers classical methods for obtaining the analytical solution of differential equations and Laplace transforms. In addition, the authors discuss how these equations describe mathematical systems and how to use software to solve sets of equations where analytical solutions cannot be obtained. Using simple physics, the book introduces dynamic modeling, the definition of differential equations, two simple methods for obtaining their analytical solution, and a method to follow when modeling. It then presents classical methods for solving differential equations, discusses the engineering importance of the roots of a characteristic equation, and describes the response of first- and second-order differential equations. A study of the Laplace transform method follows with explanations of the transfer function and the power of Laplace transform for obtaining the analytical solution of coupled differential equations. The next several chapters present the modeling of translational and rotational mechanical systems, fluid systems, thermal systems, and electrical systems. The final chapter explores many simulation examples using a typical software package for the solution of the models developed in previous chapters. Providing the necessary tools to apply differential equations in engineering and science, this text helps readers understand differential equations, their meaning, and their analytical and computer solutions. It illustrates how and where differential equations develop, how they describe engineering systems, how to obtain the analytical solution, and how to use software to simulate the systems.

## Differential Equations and Group Methods for Scientists and Engineers

**Author**: James M. Hill**Publisher:**CRC Press**ISBN:**9780849344428**Category:**Mathematics**Page:**224**View:**7169

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:**7608

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:**8223

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.

## Differential Equations

*A Primer for Scientists and Engineers*

**Author**: Christian Constanda**Publisher:**Springer**ISBN:**3319502247**Category:**Mathematics**Page:**297**View:**4086

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.

## 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:**5109

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.

## Mathematical Methods for Engineers and Scientists 3

*Fourier Analysis, Partial Differential Equations and Variational Methods*

**Author**: Kwong-Tin Tang**Publisher:**Springer Science & Business Media**ISBN:**3540446958**Category:**Science**Page:**440**View:**6620

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 examples, completely worked out, together with carefully selected problem sets with answers are used to enhance students' understanding and manipulative skill. The goal is to make students comfortable in using advanced mathematical tools in junior, senior, and beginning graduate courses.

## Linear Partial Differential Equations for Scientists and Engineers

**Author**: Tyn Myint-U,Lokenath Debnath**Publisher:**Springer Science & Business Media**ISBN:**9780817645601**Category:**Mathematics**Page:**778**View:**7736

This significantly expanded fourth edition is designed as an introduction to the theory and applications of linear PDEs. The authors provide fundamental concepts, underlying principles, a wide range of applications, and various methods of solutions to PDEs. In addition to essential standard material on the subject, the book contains new material that is not usually covered in similar texts and reference books. It also contains a large number of worked examples and exercises dealing with problems in fluid mechanics, gas dynamics, optics, plasma physics, elasticity, biology, and chemistry; solutions are provided.

## 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:**2011

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.

## Second Course in Ordinary Differential Equations for Scientists and Engineers

**Author**: Mayer Humi,William Miller**Publisher:**Springer Science & Business Media**ISBN:**1461238323**Category:**Mathematics**Page:**441**View:**7638

The world abounds with introductory texts on ordinary differential equations and rightly so in view of the large number of students taking a course in this subject. However, for some time now there is a growing need for a junior-senior level book on the more advanced topics of differential equations. In fact the number of engineering and science students requiring a second course in these topics has been increasing. This book is an outgrowth of such courses taught by us in the last ten years at Worcester Polytechnic Institute. The book attempts to blend mathematical theory with nontrivial applications from varipus disciplines. It does not contain lengthy proofs of mathemati~al theorems as this would be inappropriate for its intended audience. Nevertheless, in each case we motivated these theorems and their practical use through examples and in some cases an "intuitive proof" is included. In view of this approach the book could be used also by aspiring mathematicians who wish to obtain an overview of the more advanced aspects of differential equations and an insight into some of its applications. We have included a wide range of topics in order to afford the instructor the flexibility in designing such a course according to the needs of the students. Therefore, this book contains more than enough material for a one semester course.

## Nonlinear Partial Differential Equations for Scientists and Engineers

**Author**: Lokenath Debnath**Publisher:**Springer Science & Business Media**ISBN:**9780817644185**Category:**Mathematics**Page:**738**View:**5179

This expanded, revised edition is a thorough and systematic treatment of linear and nonlinear partial differential equations and their varied applications. It contains updated modern examples and applications from diverse fields. Methods and properties of solutions, along with their physical significance, make the book useful for a diverse readership including graduates, researchers, and professionals in mathematics, physics and engineering.

## 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:**4163

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.