By Harold M. Edwards
In a booklet written for mathematicians, lecturers of arithmetic, and hugely encouraged scholars, Harold Edwards has taken a daring and weird 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 actual arithmetic, either in spirit and content material, and a thrilling 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 lot of these strength readers, the writer has made the method paintings within the top culture of inventive mathematics.
This cheap softcover reprint of the 1994 version provides the varied set of issues from which complicated calculus classes are created in attractive unifying generalization. the writer emphasizes using differential kinds in linear algebra, implicit differentiation in greater dimensions utilizing the calculus of differential types, and the tactic of Lagrange multipliers in a common yet easy-to-use formula. There are copious routines to assist consultant the reader in checking out realizing. The chapters might be learn in nearly any order, together with starting with the ultimate bankruptcy that comprises many of the extra conventional issues of complicated calculus classes. furthermore, it's excellent for a path on vector research from the differential kinds aspect of view.
The specialist mathematician will locate the following a pleasant instance of mathematical literature; the coed lucky sufficient to have passed through this e-book may have an organization seize of the character of recent arithmetic and a high-quality framework to proceed to extra complicated studies.
The most crucial feature…is that it really is fun—it is enjoyable to learn the workouts, it really is enjoyable to learn the reviews revealed within the margins, it truly is enjoyable just to decide a random spot within the publication and start interpreting. this is often the way in which arithmetic may be offered, with an pleasure and liveliness that convey 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. brilliant exposition: casual yet subtle, down-to-earth yet common, geometrically rigorous, unique yet critical. impressive assorted purposes, actual and mathematical.
—The American Mathematical per thirty days (1994) in keeping with 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