The Mathematical Theory of Finite Element Methods (Texts in Applied Mathema tics, 15)

US: Springer, 2010. Paperback. Very Good. A copy that has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. This is the third and yet further updated edition of a highly regarded math ematical text. Brenner develops the basic mathematical theory of the finite element method, the most widely used technique for engineering design and analysis. Her volume formalizes basic tools that are commonly used by resea rchers in the field but not previously published. The book is ideal for mat hematicians as well as engineers and physical scientists. It can be used fo r a course that provides an introduction to basic functional analysis, appr oximation theory, and numerical analysis, while building upon and applying basic techniques of real variable theory. This new edition is substantially updated with additional exercises throughout and new chapters on Additive Schwarz Preconditioners and Adaptive Meshes. Editorial Reviews Review Second Edition S.C. Brenner and L.R. Scott The Mathematical Theory of Finite Element Methods "[This is] a well-written book. A great deal of material is covered, and st udents who have taken the trouble to master at least some of the advanced m aterial in the later chapters would be well placed to embark on research in the area." ZENTRALBLATT MATH From the reviews of the third edition: "An excelent survey of the deep mathematical roots of finite element methods as well as of some of the newest and most formal results concerning these methods. ... The approach remains very clear and precise ... . A significant number of examples and exercises improve considerably the acc.