A Course of Mathematics for Engineerings and Scientists - Hardcover

Brian H. Chirgwin

Hardcover

ISBN 10: 0080093779 ISBN 13: 9780080093772

Publisher: Elsevier, 1964

Synopsis

A Course of Mathematics for Engineers and Scientists presents an undergraduate mathematics course tailored for students studying science and engineering at British and Commonwealth universities. Its goal is to build upon and expand the concepts and methods from previous volumes, enabling students to grasp and apply advanced mathematical techniques in physics and engineering. The book commences with fundamental vector algebra principles, which are then broadened and explored in two key directions. Firstly, it delves into vector analysis, covering differential and integral operations and vector-related theorems. This leads to the generalization of tensor analysis and coordinate transformations, including orthogonal curvilinear coordinates. Secondly, it transitions to matrices, demonstrating how the properties of element arrays, linear equations, and quadratic forms are generalizations of elementary algebra and familiar geometric ideas in n dimensions, using 'vector space'. The book also offers a general method for solving ordinary and certain partial differential equations through series-based solutions of differential equations. It introduces the concepts of eigenvalues and orthogonal functions via a discussion on the properties of solutions under the Sturm-Liouville theory, connecting these ideas with matrices. Lastly, a chapter dedicated to special functions explores the key properties of Bessel, Legendre, Laguerre, and Hermite functions, which frequently arise in boundary and initial value problem solutions.

Edition details

• Publisher: Elsevier
• Publication date: 1964
• Language: English
• ISBN 10: 0080093779
• ISBN 13: 9780080093772
• Binding: Hardcover
• Number of pages: 400