Vector Analysis (Dover Books on Mathematics)

Book Details:

• Book Title: Vector Analysis

• Author: Louis Brand

• Binding: Paperback

• ISBN: 9780486450308

• Pages: 304

• Edition: n

• Release Date: 10-02-2006

• Language: English

About the Book:

Vector Analysis offers a clear and accessible introduction to vector algebra and calculus for undergraduates. This text simplifies the treatment of complex subjects like differential geometry, mechanics, hydrodynamics, and electrodynamics by emphasizing the role of vectors in making mathematical and physical concepts more tangible and easier to understand.

The book is designed to serve as a short introductory course, providing students with the necessary tools of vector algebra and calculus, along with a glimpse into their numerous applications. Special focus is given to the potential function—both scalar and vector—demonstrating its usefulness in various contexts. The text also highlights the basic postulates of vector analysis, emphasizing their logical structure.

The final section introduces abstract vector spaces, touching on concepts such as linear dependence, basis, and dimension, all explained in simple terms. The text is supplemented with numerous illustrations to aid in understanding.

Key Features:

• Introductory course material on vector algebra and calculus tailored for undergraduates.

• Applications in differential geometry, mechanics, hydrodynamics, and electrodynamics.

• Focus on the potential function and the basic postulates of vector analysis.

• Introduction to abstract vector spaces, linear dependence, and dimension in a simple and clear manner.

• Numerous figures to enhance comprehension of key concepts.