Mathematical Methods for Engineers and Scientists 2: Vector Analysis, Ordinary Differential Equations and Laplace Transforms

✍ Scribed by Professor Dr. Kwong-Tin Tang (auth.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2007
• Tongue: English
• Leaves: 344
• Edition: 1
• Category: Library

✦ Synopsis

Pedagogical insights gained through 30 years of teaching applied mathematics led the author to write this set of student-oriented books. Topics such as complex analysis, matrix theory, vector and tensor analysis, Fourier analysis, integral transforms, ordinary and partial differential equations are presented in a discursive style that is readable and easy to follow. Numerous clearly stated, completely worked out examples together with carefully selected problem sets with answers are used to enhance students' understanding and manipulative skill. The goal is to make students comfortable and confident in using advanced mathematical tools in junior, senior, and beginning graduate courses.

✦ Table of Contents

Front Matter....Pages I-XI
Front Matter....Pages 1-1
Vectors....Pages 3-33
Vector Calculus....Pages 35-112
Curved Coordinates....Pages 113-154
Vector Transformation and Cartesian Tensors....Pages 155-198
Front Matter....Pages 200-200
Ordinary Differential Equations....Pages 201-269
Laplace Transforms....Pages 271-331
Back Matter....Pages 333-339

✦ Subjects

Theoretical, Mathematical and Computational Physics;Appl.Mathematics/Computational Methods of Engineering