Download Advanced Calculus: A Differential Forms Approach (Modern by Harold M. Edwards PDF
By Harold M. Edwards
In a ebook written for mathematicians, lecturers of arithmetic, and hugely influenced scholars, Harold Edwards has taken a daring and weird 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 path or certainly for any mathematician wanting a refreshingly casual and versatile reintroduction to the topic. For some of these strength readers, the writer has made the technique paintings within the top culture of artistic mathematics.
This cheap softcover reprint of the 1994 variation offers the varied set of subject matters from which complicated calculus classes are created in attractive unifying generalization. the writer emphasizes using differential varieties in linear algebra, implicit differentiation in larger dimensions utilizing the calculus of differential types, and the tactic of Lagrange multipliers in a basic yet easy-to-use formula. There are copious workouts to assist advisor the reader in checking out realizing. The chapters will be learn in virtually any order, together with starting with the ultimate bankruptcy that includes a number of the extra conventional subject matters of complicated calculus classes. moreover, it truly is perfect for a path on vector research from the differential varieties aspect of view.
The expert mathematician will locate the following a pleasant instance of mathematical literature; the coed lucky adequate to have undergone this publication could have a company snatch of the character of recent arithmetic and a pretty good framework to proceed to extra complicated studies.
The most crucial feature…is that it truly is fun—it is enjoyable to learn the routines, it's enjoyable to learn the reviews published within the margins, it truly is enjoyable just to decide a random spot within the e-book and start analyzing. this can be the way in which arithmetic could be awarded, 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 creation to vector calculus, dependent solidly on differential kinds. really good exposition: casual yet subtle, down-to-earth yet normal, geometrically rigorous, unique yet critical. outstanding varied functions, actual and mathematical.
—The American Mathematical per month (1994) in response to the second one Edition
Read or Download Advanced Calculus: A Differential Forms Approach (Modern Birkhäuser Classics) PDF
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