Thursday, 14 September 2017

FUNDAMENTALS OF MATRIX COMPUTATIONS BY DAVID S WATKINS

This book was written for advanced undergraduates, graduate students, and mature scientists in mathematics, computer science, engineering, and all disciplines in which numerical methods are used.

At the heart of most scientific computer codes lie matrix computations, so it is important to understand how to perform such computations efficiently and accurately. This book meets that need by providing a detailed introduction to the fundamental ideas of numerical linear algebra. The prerequisites are a first course in linear algebra and some experience with computer programming. For the understanding of some of the examples, especially in the second half of the book, the student will find it helpful to have had a first course in differential equations.

ADVANCED ENGINEERING MATHEMATICS BY ERWIN KREYSZIG TENTH EDITION

There are several other excellent books on this subject, including those by Demmel [15], Golub and Van Loan [33], and Trefethen and Bau [71]. Students who are new to this material often find those books quite difficult to read. The purpose of this book is to provide a gentler, more gradual introduction to the subject that is nevertheless mathematically solid. The strong positive student response to the first edition has assured me that my first attempt was successful and encouraged me to produce this updated and extended edition.

DISCRETE MATHEMATICS AND ITS APPLICATION BY KENNETH H ROSEN

The first edition was aimed mainly at the undergraduate level. As it turned out, the book also found a great deal of use as a graduate text. I have therefore added new material to make the book more attractive at the graduate level. These additions are detailed below. However, the text remains suitable for undergraduate use, as the elementary material has been kept largely intact, and more elementary exercises have been added. The instructor can control the level of difficulty by deciding which sections to cover and how far to push into each section. Numerous advanced topics are developed in exercises at the ends of the sections.

EXPERIMENTAL MATHEMATICS IN ACTION EBOOK

The book contains many exercises, ranging from easy to moderately difficult. Some are interspersed with the textual material and others are collected at the end of each section. Those that are interspersed with the text are meant to be worked immediately by the reader. This is my way of getting students actively involved in the learning process. In order to get something out, you have to put something in.

NUMBER THEORY AN INTRODUCTION TO MATHEMATICS BY W A COPPEL

Many of the exercises at the ends of sections are lengthy and may appear intimidating at first. However, the persistent student will find that s/he can make it through them with the help of the ample hints and advice that are given. We encourage every student to work as many of the exercises as possible.

PROBLEMS BOOK IN MATHEMATICS BY P R HALMOS

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