By Harold M. Edwards
Originally released through Houghton Mifflin corporation, Boston, 1969
In a e-book written for mathematicians, academics of arithmetic, and hugely stimulated scholars, Harold Edwards has taken a daring and weird method of the presentation of complex calculus. He starts with a lucid dialogue of differential varieties and speedy strikes to the basic 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 wanting a refreshingly casual and versatile reintroduction to the topic. For these kinds of strength readers, the writer has made the technique paintings within the top culture of artistic mathematics.
This reasonable softcover reprint of the 1994 variation provides the varied set of issues from which complex 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 normal yet easy-to-use formula. There are copious routines to aid consultant the reader in checking out knowing. The chapters may be learn in nearly any order, together with starting with the ultimate bankruptcy that includes a few of the extra conventional themes of complex calculus classes. furthermore, it's perfect for a path on vector research from the differential kinds element of view.
The expert mathematician will locate the following a pleasant instance of mathematical literature; the coed lucky adequate to have undergone this ebook can have a company seize of the character of recent arithmetic and an outstanding framework to proceed to extra complex reviews.