By Harold M. Edwards
In a ebook written for mathematicians, academics 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 kinds and fast strikes to the basic 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 wanting a refreshingly casual and versatile reintroduction to the topic. For a majority of these power readers, the writer has made the technique paintings within the top culture of inventive mathematics.
This cheap softcover reprint of the 1994 version provides the various set of subject matters from which complex calculus classes are created in appealing unifying generalization. the writer emphasizes using differential types in linear algebra, implicit differentiation in greater dimensions utilizing the calculus of differential varieties, and the tactic of Lagrange multipliers in a common yet easy-to-use formula. There are copious workouts to assist advisor the reader in checking out knowing. The chapters might be learn in virtually any order, together with starting with the ultimate bankruptcy that comprises a few of the extra conventional themes of complex calculus classes. furthermore, it's excellent for a direction on vector research from the differential types element of view.
The expert mathematician will locate right here a pleasant instance of mathematical literature; the coed lucky sufficient to have passed through this booklet may have an organization grab of the character of contemporary arithmetic and an excellent 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 published within the margins, it really is enjoyable just to choose a random spot within the booklet and start examining. this can be the way in which arithmetic could be provided, with an pleasure and liveliness that convey why we're attracted to the subject.
—The American Mathematical per 30 days (First evaluate)
An inviting, strange, high-level advent to vector calculus, established solidly on differential kinds. amazing exposition: casual yet subtle, down-to-earth yet normal, geometrically rigorous, pleasing yet critical. striking different functions, actual and mathematical.
—The American Mathematical per thirty days (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