By Harold M. Edwards
In a e-book written for mathematicians, lecturers of arithmetic, and hugely encouraged scholars, Harold Edwards has taken a daring and weird method of the presentation of complex calculus. He starts with a lucid dialogue of differential varieties and fast strikes to the basic theorems of calculus and Stokes’ theorem. the result's real arithmetic, either in spirit and content material, and an exhilarating selection for an honors or graduate path or certainly for any mathematician short of a refreshingly casual and versatile reintroduction to the topic. For these kind of strength readers, the writer has made the technique paintings within the most sensible culture of artistic mathematics.
This cheap softcover reprint of the 1994 version provides the various set of themes from which complicated calculus classes are created in attractive unifying generalization. the writer emphasizes using differential types in linear algebra, implicit differentiation in greater dimensions utilizing the calculus of differential kinds, and the tactic of Lagrange multipliers in a common yet easy-to-use formula. There are copious routines to aid consultant the reader in checking out figuring out. The chapters might be learn in nearly any order, together with starting with the ultimate bankruptcy that includes the various extra conventional subject matters of complicated calculus classes. additionally, it truly is perfect for a path on vector research from the differential kinds aspect of view.
The specialist mathematician will locate right here a pleasant instance of mathematical literature; the scholar lucky adequate to have undergone this booklet may have a company take hold of of the character of recent arithmetic and an effective framework to proceed to extra complex studies.
The most crucial feature…is that it truly is fun—it is enjoyable to learn the routines, it truly is enjoyable to learn the reviews revealed within the margins, it's enjoyable just to choose a random spot within the ebook and start studying. this is often the best way arithmetic might be offered, with an pleasure and liveliness that express why we're drawn to the subject.
—The American Mathematical per thirty days (First overview)
An inviting, strange, high-level advent to vector calculus, dependent solidly on differential kinds. terrific exposition: casual yet subtle, down-to-earth yet normal, geometrically rigorous, wonderful yet critical. extraordinary diversified purposes, actual and mathematical.
—The American Mathematical per month (1994) according to the second one Edition
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Additional resources for Advanced Calculus: A Differential Forms Approach (Modern Birkhäuser Classics)
Advanced Calculus: A Differential Forms Approach (Modern Birkhäuser Classics) by Harold M. Edwards