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Computational Science and Engineering, by Gilbert Strang
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This book presents the full range of computational science and engineering -- the equations, numerical methods, and algorithms with MATLAB® codes. The author has taught this material to thousands of engineers and scientists. The book is solution-based and not formula-based: it covers applied linear algebra and fast solvers, differential equations with finite differences and finite elements, Fourier analysis, optimization, and more.
Contents Chapter 1: Applied Linear Algebra; Chapter 2: A Framework for Applied Mathematics; Chapter 3: Boundary Value Problems; Chapter 4: Fourier Series and Integrals; Chapter 5: Analytic Functions; Chapter 6: Initial Value Problems; Chapter 7: Solving Large Systems; Chapter 8: Optimization and Minimum Principles.
- Sales Rank: #363774 in Books
- Published on: 2007-11-01
- Original language: English
- Number of items: 1
- Dimensions: 9.96" h x 1.50" w x 6.97" l, 3.25 pounds
- Binding: Hardcover
- 725 pages
Review
Gil Strang has given the discipline of computational science and engineering its first testament in this new and comprehensive book. It surely extends Gil's long tradition of practical, wide-ranging, and insightful books that are invaluable for students, teachers, and researchers alike. If you could have only one book on a desert island, this might be it. --William Briggs, Professor of Mathematics at University of Colorado at Denver, and SIAM Vice-President for Education.
About the Author
Gilbert Strang is a Professor of Mathematics at Massachusetts Institute of Technology and an Honorary Fellow of Balliol College of the University of Oxford, United Kingdom. His current research interests include linear algebra, wavelets and filter banks, applied mathematics, and engineering mathematics. He is the author or co-author of six textbooks and has published a monograph with George Fix titled An Analysis of the Finite Element Method. Professor Strang served as SIAM's president from 1999-2000, chaired the U.S. National Committee on Mathematics from 2003 2004, and won the Neumann Medal of the U.S. Association of Computational Mechanics in 2005. He is a fellow of the American Academy of Arts and Sciences.
Most helpful customer reviews
4 of 4 people found the following review helpful.
Computational science goes mainstream.
By Llewelyn
How does one write a review on a computational science book, an academic area that to many is obtuse? Well, first, as a non-engineer or computational scientist, that I even understood enough to write a review speaks volumes to the clarity of this text. It does require a fundamental understanding of linear algebra and calculus. However, even in that regard, I imagine one could easily review the fundamentals either through Prof Strang's recent text (Differential Equations and Linear Algebra) or elsewhere. This book is a useful, actually essential, companion to his online OCW 18.085 course. It presents the facts around how continuous equations of calculus are discretised with linear algebra. It highlights how linear algebra, due to the fact of linearity, allows many non-linear and real world problems to be described and approximate solutions derived. However, the major element that makes this text different is the approach Prof. Strang adopts in his linking of linear algebra to the real problems he examines. It is a combination of passion for the subject area, an engaging and prosaic style of writing, and an approach at the frontier of teaching what in the past have been disparate and (in my experience) rather dull subject areas. This book perfectly illustrates the reality that linear algebra and the techniques it offers science is on the frontier of computation and real world analysis. This reality opens a vacuum for what is both a grounding and springboard text. However, the text also clearly takes the concepts raised to a depth mathematically that would satisfy all but the most trenchant purist. The problem sets are useful in developing concepts and are more than the often-found trickiness in other texts. They are accompanied by guiding comments, in places and solutions are available online, to allow more depth. I also note that the text represents many years experience of teaching and reflective analysis. One cannot conclude a review without also noting the quality of Prof Strang's academic credentials. Even a casual look at his CV illustrates that he is a luminary in that field. I also note that his 'academic ancestry' (doctoral supervisors) include mathematicians like Gauss, Hilbert and others around 8 steps back. This book has made me want to pursue the area further and, I hope, that alone would help people contemplate this as a course text or a highly useful addition to the serious student of applied mathematics library.
3 of 3 people found the following review helpful.
Good text for MATLAB based computional techniques
By Asa R. Gawthrop
While I've only used this text for a couple of weeks, I find that it supports the MIT 18.085 video lectures nicely (which is it's purpose). It has been over 30 years since I had calculus and linear algebra, so this text makes for a good review and then some. The exercises with MATLAB (Octave in my case) is giving me great exposure to computational methods used by universities today. (I had previously been a Mathcad and C# user). The topics do move rapidly.
3 of 3 people found the following review helpful.
Recommend for use with MIT 18-085 lecture series
By Lyman
Purchased book to help me follow the online MIT 18-085 lecture series by Strang. Am only five lectures into the series and have found the book to be helpful. Would like to locate a solutions manual for the problems so I can check my work. Purchased book "used" from HPB-Dallas for $54. The book I received was new unused!
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