By Harold M. Edwards
In a publication written for mathematicians, lecturers of arithmetic, and hugely prompted scholars, Harold Edwards has taken a daring and strange method of the presentation of complex calculus. He starts with a lucid dialogue of differential types and quick strikes to the elemental theorems of calculus and Stokes’ theorem. the result's actual arithmetic, either in spirit and content material, and an exhilarating selection for an honors or graduate direction or certainly for any mathematician short of a refreshingly casual and versatile reintroduction to the topic. For a majority of these capability readers, the writer has made the process paintings within the most sensible culture of inventive mathematics.
This reasonable softcover reprint of the 1994 variation provides the varied set of subject matters from which complex calculus classes are created in appealing unifying generalization. the writer emphasizes using differential varieties in linear algebra, implicit differentiation in better dimensions utilizing the calculus of differential types, and the tactic of Lagrange multipliers in a common yet easy-to-use formula. There are copious workouts to aid consultant the reader in checking out figuring out. The chapters should be learn in virtually any order, together with starting with the ultimate bankruptcy that comprises the various extra conventional issues of complex calculus classes. additionally, it's perfect for a path on vector research from the differential types aspect of view.
The expert mathematician will locate right here a pleasant instance of mathematical literature; the scholar lucky adequate to have passed through this booklet could have a company seize 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 published within the margins, it really is enjoyable just to decide a random spot within the publication and start studying. this is often the best way arithmetic might be awarded, with an pleasure and liveliness that exhibit why we're drawn to the subject.
—The American Mathematical per month (First evaluate)
An inviting, strange, high-level advent to vector calculus, established solidly on differential varieties. brilliant exposition: casual yet subtle, down-to-earth yet normal, geometrically rigorous, exciting yet severe. extraordinary various purposes, actual and mathematical.
—The American Mathematical per thirty days (1994) in response to the second one Edition
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