Thomas Hillen, I. E. Leonard, Henry van Roessel

Partial Differential Equations (eBook, ePUB)

Theory and Completely Solved Problems

• Format: ePub

Produktbeschreibung

Uniquely provides fully solved problems for linear partial differential equations and boundary value problems Partial Differential Equations: Theory and Completely Solved Problems utilizes real-world physical models alongside essential theoretical concepts. With extensive examples, the book guides readers through the use of Partial Differential Equations (PDEs) for successfully solving and modeling phenomena in engineering, biology, and the applied sciences. The book focuses exclusively on linear PDEs and how they can be solved using the separation of variables technique. The authors begin by describing functions and their partial derivatives while also defining the concepts of elliptic, parabolic, and hyperbolic PDEs. Following an introduction to basic theory, subsequent chapters explore key topics including: Classification of second-order linear PDEs Derivation of heat, wave, and Laplace s equations Fourier series Separation of variables Sturm-Liouville theory Fourier transforms Each chapter concludes with summaries that outline key concepts. Readers are provided the opportunity to test their comprehension of the presented material through numerous problems, ranked by their level of complexity, and a related website features supplemental data and resources. Extensively class-tested to ensure an accessible presentation, Partial Differential Equations is an excellent book for engineering, mathematics, and applied science courses on the topic at the upper-undergraduate and graduate levels.

---

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: John Wiley & Sons
• Seitenzahl: 696
• Erscheinungstermin: 21. August 2014
• Englisch
• ISBN-13: 9781118438435
• Artikelnr.: 41395742

Autorenporträt

T. HILLEN, PhD, is Professor and Associate Chair(Graduate Program) in the Department of Mathematical andStatistical Sciences at the University of Alberta, Canada. Dr.Hillen is a world-leading expert in PDEs applied to mathematicalbiology and has also published extensively in the area of generalapplied mathematics. I. E. LEONARD, PhD, is Lecturer in the Department ofMathematical and Statistical Sciences at the University of Alberta,Canada. Dr. Leonard works in the areas of real analysis anddiscrete mathematics. H. VAN ROESSEL, PhD, is Associate Professor in theDepartment of Mathematical and Statistical Sciences at theUniversity of Alberta, Canada. Dr. Van Roessel works on theapplication of PDEs to coagulation-fragmentation problems andrelated mathematical models.