Click Here to Download: https://ouo.io/jO2l9Ou Vector Methods Applied to Differential Geometry, Mechanics, and Potential Theory By: D. E. Rutherford Publisher: Dover Publications Print ISBN: 9780486439037, 0486439038 eText ISBN: 9780486154534, 048615453X Pages: 144 Format: EPUB Available from $ 10.95 USD SKU 9780486154534 Designed to familiarize undergraduates with the methods of vector algebra and vector calculus, this text offers both a clear view of the abstract theory as well as a concise survey of the theory's applications to various branches of pure and applied mathematics. A chapter on differential geometry introduces readers to the study of this subject by the methods of vector algebra. The next section explores the many aspects of the theory of mechanics adaptable to the use of vectors, and a full discussion of the vector operator nabla proceeds to a treatment of potential theory and Laplace's equation. This includes applications to the theories of gravitation, hydrodynamics, and electricity. A brief chapter on four-dimensional vectors concludes the text.
