Vector Analysis (Dover Books on Mathematics) - Softcover

Brand, Louis

  • 3.14 out of 5 stars
    7 ratings by Goodreads
 
9780486450308: Vector Analysis (Dover Books on Mathematics)
Softcover
ISBN 10: 0486450309 ISBN 13: 9780486450308
Publisher: Dover Publications, 2006

Synopsis

The use of vectors not only simplifies treatments of differential geometry, mechanics, hydrodynamics, and electrodynamics, but also makes mathematical and physical concepts more tangible and easy to grasp. This text for undergraduates was designed as a short introductory course to give students the tools of vector algebra and calculus, as well as a brief glimpse into these subjects' manifold applications. The applications are developed to the extent that the uses of the potential function, both scalar and vector, are fully illustrated. Moreover, the basic postulates of vector analysis are brought to the foreground, placing their logical structure in sharp relief.
Because the concept of a vector has been greatly generalized in geometry and mathematical physics, this text concludes with a brief introduction to abstract vector spaces, together with the ideas of linear dependence, basis, and dimension. The exposition of these abstract concepts is kept simple and clear. Numerous figures appear throughout the text.

"synopsis" may belong to another edition of this title.

Publisher
Dover Publications
Publication date
2006
Language
English
ISBN 10 
0486450309
ISBN 13 
9780486450308
Binding
Paperback
Number of pages
304
Rating
  • 3.14 out of 5 stars
    7 ratings by Goodreads