Course of Mathematics for Engineers and Scientists: v. 4

Chirgwin, Brian H.

ISBN 10: 0080093779 / ISBN 13: 9780080093772

Published by Pergamon Press, 1964

About this Item

Most items will be dispatched the same or the next working day. A copy that has been read but remains in clean condition. All of the pages are intact and the cover is intact and the spine may show signs of wear. The book may have minor markings which are not specifically mentioned.

Seller Inventory # wbs8263382217

Bibliographic Details

• Title: Course of Mathematics for Engineers and Scientists: v. 4
• Publisher: Pergamon Press
• Publication Date: 1964
• Language: English
• ISBN 10: 0080093779
• ISBN 13: 9780080093772
• Binding: Hardcover
• Condition: Good
• Weight: 790 grams

About this title

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.