By Harold M. Edwards
In a booklet written for mathematicians, lecturers of arithmetic, and hugely inspired scholars, Harold Edwards has taken a daring and strange method of the presentation of complicated calculus. He starts with a lucid dialogue of differential kinds and quick strikes to the elemental theorems of calculus and Stokes’ theorem. the result's real arithmetic, either in spirit and content material, and a thrilling selection for an honors or graduate direction or certainly for any mathematician short of a refreshingly casual and versatile reintroduction to the topic. For some of these capability readers, the writer has made the procedure paintings within the top culture of inventive mathematics.
This reasonable softcover reprint of the 1994 variation offers the varied set of themes from which complex calculus classes are created in appealing unifying generalization. the writer emphasizes using differential kinds in linear algebra, implicit differentiation in greater dimensions utilizing the calculus of differential kinds, and the strategy of Lagrange multipliers in a basic yet easy-to-use formula. There are copious workouts to assist advisor the reader in trying out knowing. The chapters will be learn in nearly any order, together with starting with the ultimate bankruptcy that includes a number of the extra conventional issues of complex calculus classes. furthermore, it's perfect for a direction on vector research from the differential kinds element of view.
The specialist mathematician will locate right here a pleasant instance of mathematical literature; the scholar lucky sufficient to have passed through this ebook may have a company snatch of the character of recent arithmetic and a high-quality framework to proceed to extra complicated studies.
The most vital feature…is that it truly is fun—it is enjoyable to learn the routines, it really is enjoyable to learn the reviews published within the margins, it truly is enjoyable just to choose a random spot within the e-book and start examining. this can be the way in which arithmetic will be offered, with an pleasure and liveliness that express why we're drawn to the subject.
—The American Mathematical per month (First assessment)
An inviting, strange, high-level advent to vector calculus, dependent solidly on differential types. incredible exposition: casual yet refined, down-to-earth yet basic, geometrically rigorous, exciting yet severe. striking varied functions, actual and mathematical.
—The American Mathematical per thirty days (1994) in keeping with the second one Edition
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Additional info for Advanced Calculus: A Differential Forms Approach (Modern Birkhäuser Classics)
Advanced Calculus: A Differential Forms Approach (Modern Birkhäuser Classics) by Harold M. Edwards