Review by Choice Review
This work explores the field of partial differential equations in an advanced manner. The authors begin with modeling examples such as the Wave Equation and the Black and Scholes Equation, and conclude with recent numerical approximation techniques. The book is centered on three broad numerical methods: finite difference, finite element, and finite volumes. In addition, the authors focus on three major types of partial differential equations: elliptic, parabolic, and hyperbolic. The format of the book is typical in terms of theorem and proof. Throughout the work, the authors provide remarks that help clarify and expand on information that was proved. This is a useful feature for the student trying to make connections with the material. No exercises are provided, which is more typical of graduate level work in applied mathematics or computational engineering. However, advanced undergraduates may find the beginning chapters' examples interesting and motivating for further study. One feature worth noting is that in the conclusion of several of the chapters, the authors not only provide a brief summary of the material just covered, but also allude to how this material will be seen in the following chapters. Summing Up: Recommended. Upper-division undergraduates and above; researchers and faculty. --Sharon L. Sullivan, Catawba College
Copyright American Library Association, used with permission.
Review by Choice Review
