Introduction to Applied Mathematics (Texts in Applied Mathematics)

By Lawrence Sirovich

Book Overview

From the Preface: "The material in this book is based on notes for a course which I gave several times at Brown University. The target of the course was juniors and seniors majoring in applied mathematics, engineering and other sciences. My basic goal in the course was to teach standard methods, or what I regard as a basic "bag of tricks". In my opinion the material contained here, for the most part, does not depart widely from traditional subject matter. One such departure is the discussion of discrete linear systems. Besides being interesting in its own right, this topic is included because the treatment of such systems leads naturally to the use of discrete Fourier series, discrete Fourier transforms, and their extension, the Z-transform. On making the transition to continuous systems we derive their continuous analogues, viz., Fourier series, Fourier transforms, Fourier integrals and Laplace transforms. A main advantage to the approach taken is that a wide variety of techniques are seen to result from one or two very simple but central ideas. Above all, this course is intended as being one which gives the student a "can-do" frame of mind about mathematics. Students should be given confidence in using mathematics and not be made fearful of it. I have, therefore, forgone the theorem-proof format for a more informal style. Finally, a concerted effort was made to present an assortment of examples from diverse applications with the hope of attracting the interest of the student, and an equally dedicated effort was made to be kind to the reader."

• Format: Hardcover
• Language: English
• ISBN: 0387968849
• ISBN13: 9780387968841
• Release Date: November 1988
• Publisher: Springer
• Length: 370 Pages
• Weight: 1.55 lbs.
• Dimensions: 0.9" x 6.1" x 9.2"

Customer Reviews

Maybe more than an introduction

The quality of this book is that it introduces to the fundamental concepts of applied maths without any lack of rigor, while being easy to read and thus suitable as a self-learning tool. It covers a large range of topics, but shows well the relations between them. Demonstrations are present when needed. A step-by-step approach takes you through pages which might have looked quite complicated at the first glance. Emphasis has been put on explanation and physically-based examples. The advantage of this kind of math books over engineering books is that included demonstrations make you understand where the results you use are coming from. I think it is important if, like me, you are involved in research. Overall, a book I learned a lot from.