Analytical and Computational Methods of Advanced Engineering Mathematics

Grant B Gustafson

ISBN 10: 0387982655 / ISBN 13: 9780387982656

Edité par Springer New York Sep 1998, 1998

A propos de cet article

Neuware - This text focuses on the topics which are an essential part of the engineering mathematics course:ordinary differential equations, vector calculus, linear algebra and partial differential equations. Advantages over competing texts: 1. The text has a large number of examples and problems - a typical section having 25 quality problems directly related to the text. 2. The authors use a practical engineering approach based upon solving equations. All ideas and definitions are introduced from this basic viewpoint, which allows engineers in their second year to understand concepts that would otherwise be impossibly abstract. Partial differential equations are introduced in an engineering and science context based upon modelling of physical problems. A strength of the manuscript is the vast number of applications to real-world problems, each treated completely and in sufficient depth to be self-contained. 3. Numerical analysis is introduced in the manuscript at a completely elementary calculus level. In fact, numerics are advertised as just an extension of the calculus and used generally as enrichment, to help communicate the role of mathematics in engineering applications. 4.The authors have used and updated the book as a course text over a 10 year period. 5. Modern outline, as contrasted to the outdated outline by Kreysig and Wylie. 6. This is now a one year course.

N° de réf. du vendeur 9780387982656

Détails bibliographiques

• Titre: Analytical and Computational Methods of Advanced Engineering Mathematics
• Éditeur: Springer New York Sep 1998
• Date de parution: 1998
• Langue: anglais
• ISBN à 10 chiffres: 0387982655
• ISBN à 13 chiffres: 9780387982656
• Reliure: Buch
• État de l'article: Neu

A propos de ce titre

Synopsis

This is a readable, innovative textbook, of mathematical methods for undergraduate engineering and science students. The text is designed for a one-year course and is centered around the topics which form the essentials of engineering mathematics: ordinary differential equations, vector calculus, linear algebra, and partial differential equations. Ordinary differential equations are developed in a setting found suitable for scientists, and engineers. Linear algebra, in particular, is a strong point of the book. The authors use a practical approach based upon solving equations, and all ideas are introduced from this basic viewpoint. Partial differential equations are introduced in the context of physical problems, rather than in an abstract setting. Emphasis is on the solution of an extensive and varied number of real-world problems, each treated completely and in sufficient depth to be self-contained. Numerical analysis is treated as an extension of the calculus. The text uses numerical topics as a bridge from the mathematics to the applications. Problems and examples, the essential contact material for all readers, have been designed for readers with minimal background. The authors closely connect the problems and the examples. A typical section includes 25 quality problems, all of which are directly related to the text. Advanced Engineering Mathematics is based on the authors' 25 years of university experience in teaching engineering mathematics.

À propos de l?auteur

Grant B. Gustafson and Calvin H. Wilcox are both Professors at the University of Utah.