By Harold M. Edwards
In a booklet written for mathematicians, lecturers of arithmetic, and hugely stimulated scholars, Harold Edwards has taken a daring and weird method of the presentation of complex calculus. He starts off with a lucid dialogue of differential types and speedy 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 a majority of these power readers, the writer has made the method paintings within the most sensible culture of artistic mathematics.
This reasonable softcover reprint of the 1994 version offers the various set of themes from which complex calculus classes are created in appealing unifying generalization. the writer emphasizes using differential varieties in linear algebra, implicit differentiation in larger dimensions utilizing the calculus of differential types, and the strategy of Lagrange multipliers in a normal yet easy-to-use formula. There are copious routines to assist advisor the reader in trying out knowing. The chapters will be learn in virtually any order, together with starting with the ultimate bankruptcy that includes the various extra conventional subject matters of complicated calculus classes. moreover, it truly is perfect for a direction on vector research from the differential types aspect of view.
The specialist mathematician will locate the following a pleasant instance of mathematical literature; the coed lucky adequate to have passed through this publication could have an organization grab of the character of contemporary arithmetic and a pretty good framework to proceed to extra complex studies.
The most crucial feature…is that it really is fun—it is enjoyable to learn the routines, it truly is enjoyable to learn the reviews revealed within the margins, it truly is enjoyable just to decide a random spot within the ebook and start studying. this is often the best way arithmetic can be offered, with an pleasure and liveliness that express why we're attracted to the subject.
—The American Mathematical per 30 days (First evaluate)
An inviting, strange, high-level advent to vector calculus, dependent solidly on differential types. wonderful exposition: casual yet refined, down-to-earth yet normal, geometrically rigorous, unique yet severe. notable assorted purposes, actual and mathematical.
—The American Mathematical per thirty days (1994) according to the second one Edition
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Extra info for Advanced Calculus: A Differential Forms Approach (Modern Birkhäuser Classics)
Advanced Calculus: A Differential Forms Approach (Modern Birkhäuser Classics) by Harold M. Edwards