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Elementary Calculus from an Advanced Standpoint

Elementary Calculus from an Advanced Standpoint

Paperback

Calculus

ISBN10: 1535247827
ISBN13: 9781535247825
Publisher: Createspace
Published: Jul 12 2016
Pages: 120
Weight: 0.39
Height: 0.25 Width: 6.14 Depth: 9.21
Language: English
The book covers calculus in both commutative division algebras like the complex numbers and non-commutative division algebras like the quaternions. The gauge covariant derivative used in gauge theory is also covered as is the 4-dimensional space-time covariant derivative used in general relativity. The complicated Cauchy-Riemann calculus used for 200 years within the complex numbers is replaced with a simpler and much more general calculus which applies in every division algebra. This is quite revolutionary. This book is aimed at undergraduates and graduates, but it will be easily understood by first year undergraduates and individuals about to begin university studies.

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Calculus