Exterior Calculus: Theory and Cases (Paperback) (ISBN-13: 9789814998802)

Exterior calculus is a branch of mathematics which involves differential geometry. In Exterior calculus the concept of differentiations is generalized to antisymmetric exterior derivatives and the notions of ordinary integration to differentiable manifolds of arbitrary dimensions. It therefore generalizes the fundamental theorem of calculus to Stokes' theorem. This textbook covers the fundamental requirements of exterior calculus in curricula for college students in mathematics and engineering programs. Chapters start from Heaviside-Gibbs algebra, and progress to different concepts in Grassman algebra. The final section of the book covers applications of exterior calculus with solutions. Readers will find a concise and clear study of vector calculus and differential geometry, along with several examples and exercises. The solutions to the exercises are also included at the end of the book. This is an ideal book for students with a basic background in mathematics who wish to learn about exterior calculus as part of their college curriculum and equip themselves with the knowledge to apply relevant theoretical concepts in practical situations.

Author: Carlos Polanco
ISBN-10: 981499880X
ISBN-13: 9789814998802
Publisher: Bentham Science Publishers
Language: English
Published: 09/01/2021
Pages: 142
Format: Paperback
Weight: 0.89lbs
Size: 10.00h x 8.00w x 0.37d