Christian Constanda

Differential Equations (eBook, PDF)

A Primer for Scientists and Engineers

• Format: PDF

Produktbeschreibung

Differential Equations: A Primer for Scientists and Engineers is a textbook 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 800 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.

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 230 worked examples, the author provides the Mathematica® commands 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.

Other Springer publications by Christian Constanda: Dude, Can you Count? ISBN: 978-1-84882-538-3; Stationary Oscillations of Elastic Plates, ISBN: 978-0-8176-8340-8.

Christian Constanda, MS, PhD, DSc, is the holder of the Charles W. Oliphant Endowed Chair in Mathematical Sciences at the University of Tulsa, USA. He is also theChairman of the International Consortium on Integral Methods in Science and Engineering (IMSE).

---

Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, B, BG, CY, CZ, D, DK, EW, E, FIN, F, GR, HR, H, IRL, I, LT, L, LR, M, NL, PL, P, R, S, SLO, SK ausgeliefert werden.

Produktdetails

• Verlag: Springer US
• Seitenzahl: 263
• Erscheinungstermin: 22. Mai 2013
• Englisch
• ISBN-13: 9781461472971
• Artikelnr.: 43787432

Autorenporträt

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.

Inhaltsangabe

1. Introduction.- 2. First Order Equations.- 3. Mathematical Models with First-Order Equations.- 4. Linear Second-Order Equations.- 4. Higher-Order Equations.- 5. Mathematical Models with Second-Order Equations.- 6. Higher-Order Linear Equations.- 7. Systems of Differential Equations.- 8. The Laplace Transformation.- 9. Series Solutions.- 10. Numerical Methods.- A. Algebra Techniques.- B. Calculus Techniques.- C. Table of Laplace Transforms.- D. The Greek Alphabet.- Further Reading.- Answers to Odd-Numbered Exercises.- Index.