Numerical Mathematics (original) (raw)
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Lectures on Applied Mathematics Part 2: Numerical Analysis
2017
This book is designed to be a continuation of the textbook, Lectures on Applied Mathematics Part I: Linear Algebra which can also be downloaded at http://rbowen.tamu.edu. This textbook evolved from my teaching an undergraduate Numerical Analysis course to Mechanical Engineering students at Texas A&M University. That course was one of the courses I was allowed to teach after my several years out of the classroom. It tries to utilize rigorous concepts in Linear Algebra in combination with the powerful computational tools of MATLAB to provide undergraduate students practical numerical analysis tools. It makes extensive use of MATLAB's graphics capabilities and, to a limited extent, its ability to animate the solutions of ordinary differential equations. It is not a textbook that tries to be comprehensive as a source of MATLAB information. It does contain a large number of links to MATLAB's extensive online resources. This information has been invaluable to me as this work was d...
Journal of Computational and Applied Mathematics, 2000
This volume contains contributions in the area of di erential equations and integral equations. The editors wish to thank the numerous authors, referees, and fellow editors Claude Brezinski and Luc Wuytack, who have made this volume a possibility; it has been a major but personally rewarding e ort to compile it. Due to the limited number of pages we were obliged to make a selection when composing this volume. At an early stage it was agreed that, despite the connections between the subject areas, it would be beneÿcial to allocate the area of partial di erential equations to a volume for that area alone.
Explorations in Numerical Analysis
Explorations in Numerical Analysis, 2017
This book evolved from lecture notes written by James Lambers and used in undergraduate numerical analysis courses at the University of California at Irvine, Stanford University and the University of Southern Mississippi. It is written for a year-long sequence of numerical analysis courses for either advanced undergraduate or beginning graduate students. Part II is suitable for a semester-long first course on numerical linear algebra. The goal of this book is to introduce students to numerical analysis from both a theoretical and practical perspective, in such a way that these two perspectives reinforce each other. It is not assumed that the reader has prior programming experience. As mathematical concepts are introduced, code is used to illustrate them. As algorithms are developed from these concepts, the reader is invited to traverse the path from pseudocode to code. Coding examples throughout the book are written in Matlab. Matlab has been a vital tool throughout the numerical analysis community since its creation thirty years ago, and its syntax that is oriented around vectors and matrices greatly accelerates the prototyping of algorithms compared to other programming environments. The authors are indebted to the students in the authors' MAT 460/560 and 461/561 courses, taught in 2015-16, who were subjected to an early draft of this book.
Numerical Mathematics and Advanced Applications - ENUMATH 2013
Lecture Notes in Computational Science and Engineering, 2015
The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use.
The Graduate Student’s Guide to Numerical Analysis ’98
Springer Series in Computational Mathematics, 1999
Softcover reprint of the hardcover 1st edition 1999 The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use.