By Harold M. Edwards
In a ebook written for mathematicians, lecturers of arithmetic, and hugely influenced scholars, Harold Edwards has taken a daring and strange method of the presentation of complex calculus. He starts with a lucid dialogue of differential varieties and speedy strikes to the basic theorems of calculus and Stokes’ theorem. the result's actual arithmetic, either in spirit and content material, and a thrilling selection for an honors or graduate path or certainly for any mathematician wanting a refreshingly casual and versatile reintroduction to the topic. For a majority of these strength readers, the writer has made the method paintings within the most sensible culture of artistic mathematics.
This reasonable softcover reprint of the 1994 variation offers the varied set of subject matters from which complicated 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 strategy of Lagrange multipliers in a basic yet easy-to-use formula. There are copious workouts to aid consultant the reader in checking out figuring out. The chapters might be learn in virtually any order, together with starting with the ultimate bankruptcy that comprises a few of the extra conventional issues of complex calculus classes. moreover, it's perfect for a direction on vector research from the differential kinds element of view.
The expert mathematician will locate right here a pleasant instance of mathematical literature; the coed lucky adequate to have undergone this ebook could have a company snatch of the character of contemporary arithmetic and a high-quality framework to proceed to extra complex studies.
The most crucial feature…is that it truly is fun—it is enjoyable to learn the workouts, it really is enjoyable to learn the reviews published within the margins, it truly is enjoyable just to choose a random spot within the publication and start studying. this can be the best way arithmetic will be awarded, with an pleasure and liveliness that convey why we're drawn to the subject.
—The American Mathematical per month (First overview)
An inviting, strange, high-level advent to vector calculus, dependent solidly on differential kinds. significant exposition: casual yet refined, down-to-earth yet common, geometrically rigorous, interesting yet severe. extraordinary assorted functions, actual and mathematical.
—The American Mathematical per 30 days (1994) according to the second one Edition
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