INTRODUCTION TO NUMERICAL COMPUTATION, AN

by Wen Shen

Developed during ten years of teaching experience, this book serves as a set of lecture notes for an introductory course on numerical computation, at the senior undergraduate level. These notes contain the material that can be covered in a semester, together with a few optional sections for additional reading. Rather than surveying a large number of algorithms, the book presents the most important computational methods and emphasizes the underlying mathematical ideas. In most chapters, graphs and drawings are relied on, to build up intuition.
The notes are written in a rather colloquial style, presenting the subject matter in the same form as it can be explained in a classroom. For instructors, this will minimize the amount of effort required to prepare their blackboard presentations.
As prerequisites, the book only relies on standard calculus, an introductory course on matrices, and some basic computer programming skills. As a new feature, these notes are supplemented by two sets of videos from the author's Youtube channel. These videos contain a complete set of live lectures given in Spring 2015, together with a complete set of short tutorials, from 5 to 15 minutes each.
A set of homework problems is included at the end of each chapter. Homework projects cover a variety of applications, in connection with population dynamics, engineering, mechanics, image reconstruction, etc. A complete set of solutions is available for instructors, upon request.
Junior or senior undergraduate students interested in numerical computation and analysis, majoring in mathematics, computer science, physics, engineering, etc.

268 pages, Hardcover

Published December 28, 2015

Reviews

[Forlife Maths]

I'm a math professor in Albania. I'm teaching at University. So, I need to read this book. Thanks.

[Ahmed]

I'm a master student and need so much to read your book, Prof. in order to solve an Euler equation thanks

[Tom Schulte · Rating 4 out of 5]

"Drawing on ten years’ teaching, the author presents complete lecture notes and assignments for a semester’s introductory numerical methods course for senior undergraduates. Videos at the author's YouTube channel from live lectures with short tutorials augment the text making it self-contained for self-study. Multivariable calculus, matrix basics, and some basic computer programming skills are the prerequisites here. The programming examples are in MATLAB. For a compact volume, the homework—homework, not exercises—is ample and well-conceived. Homework problems concluding each chapter include applications, programming tasks, and a list of items to turn in. A complete set of solutions is available for instructors upon request..."

[Look for my entire review at MAA Reviews]