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  • © 2013

Differential Equations

A Primer for Scientists and Engineers

  • Discuses essential topics completely, concisely, and succinctly, in "everyday classroom language" without unnecessary embellishment
  • Includes extensive examples and exercises without the need for a computing device
  • To be used both independently by average students and as a basic framework in the fundamentals of the subject for more advanced students
  • Includes supplementary material: sn.pub/extras

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-xv
  2. Introduction

    • Christian Constanda
    Pages 1-13
  3. First-Order Equations

    • Christian Constanda
    Pages 15-40
  4. Mathematical Models with First-Order Equations

    • Christian Constanda
    Pages 41-59
  5. Linear Second-Order Equations

    • Christian Constanda
    Pages 61-102
  6. Mathematical Models with Second-Order Equations

    • Christian Constanda
    Pages 103-116
  7. Higher-Order Linear Equations

    • Christian Constanda
    Pages 117-136
  8. Systems of Differential Equations

    • Christian Constanda
    Pages 137-185
  9. The Laplace Transformation

    • Christian Constanda
    Pages 187-219
  10. Series Solutions

    • Christian Constanda
    Pages 221-248
  11. Algebra Techniques

    • Christian Constanda
    Pages 249-252
  12. Calculus Techniques

    • Christian Constanda
    Pages 253-254
  13. Table of Laplace Transforms

    • Christian Constanda
    Pages 255-255
  14. The Greek Alphabet

    • Christian Constanda
    Pages 257-257
  15. Back Matter

    Pages 249-263

About this book

Differential Equations for Scientists and Engineers is a book designed with students in mind. It attempts to take a concise, simple, and no-frills approach to differential equations. The approach used in this text is to give students extensive experience in main solution techniques with a lighter emphasis on the physical interpretation of the results. With a more manageable page count than comparable titles, and over 400 exercises that can be solved without a calculating device, this book emphasizes the understanding and practice of essential topics in a succinct fashion. At the end of each worked example, the author provides the Mathematica commands that can be used to check the results and where applicable, to generate graphical representations. It can be used independently by the average student, while those continuing with the subject will develop a fundamental framework with which to pursue more advanced material.  This book is designed for undergraduate students with some basic knowledge of precalculus algebra and a first course in calculus.

 

Reviews

From the reviews:

“The author of this book does a does a very creditable job of providing the basic material of ordinary differential equations. … The book is largely aimed at average students in mathematics, science or engineering. The author suggests that stronger students can use the text as a bridge to more specialized books or more advanced courses. … There are many exercises.” (William J. Satzer, MAA Reviews, November, 2013)

“The author writes this book respecting his readers and caring about the way of exposing his ideas. The book is written in a style that uses words as a bonding agent between consecutive mathematical passages, which creates a pleasant and comfortable lecture. … The book contains 232 worked examples and 810 exercises. … We kindly recommend this book to future engineers and scientists as well as to all those interested in the topic, who encounter differential equations in their professional work.” (Alexandru Negrescu, zbMATH, Vol. 1272, 2013)

Authors and Affiliations

  • Department of Mathematical and Computer, The University of Tulsa, TULSA, USA

    Christian Constanda

About the author

Born and educated in Romania, Prof. Constanda is Emeritus Professor from the University of Strathclyde in Glasgow, Scotland. Christian Constanda currently holds the Charles W. Oliphant Endowed Chair in Mathematical Sciences at the University of Tulsa and the directorship of the Center for Boundary Integral Methods. He has been a prolific author/editor for Birkhauser and for Springer for many years. Constanda has authored several successful texts with CRC press and other publishers as well. His most recent Springer Copernicus title “Dude, Can you Count?” has sold 848 copies to date.  Other authored volumes with Springer include “Variational and Potential Methods for a Class of Linear Hyperbolic Evolutionary Processes” (SMM). Prof. Constanda has published several edited volumes with Birkhauser.

Bibliographic Information

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Other ways to access