Schaum's Theory and Problems of Vector Analysis (Outline Series and an introduction to Tensor Analysis)

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Buy Schaum's Theory and Problems of Vector Analysis (Outline Series and an introduction to Tensor Analysis) on desertcart.com ✓ FREE SHIPPING on qualified orders Review: Great book! - Almost forty years ago, I learned vector calculus (and more) by thoroughly reading this book's first seven chapters, and doing all the exercises in them. Though this book was written in 1959, I have seen nothing written since that matches this book, let alone surpasses it, for a clear, quick presentation of the material it covers. Nowadays, the topics in the first six chapters constitute most of a typical Calculus III course, but no Calc III book currently on the market covers this material as painlessly and as thoroughly. There is no new vector analysis in the newer books, just glossier, heavier paper, many colors, and other fluff added to justify outrageous prices. The Chapter-6 material on "Integral operator form for del" is something that's been entirely lost from the modern calculus curriculum, but is of tremendous importance conceptually and historically, especially for students of mathematics and physics who want to understand how the differential equations that we now call Maxwell's equations are related to the integral equations that James Clerk Maxwell actually wrote down in the 1800s. Spiegel starts each chapter with a SMALL number of pages of text (for example, three pages in Chapter 1), then immediately goes into learn-by-doing mode, providing dozens of worked-out problems. (Best learning strategy for the student: try hard to do each problem before looking at the solution.) The worked-out problems are followed by a large number of supplementary problems for the student to work out him/herself; final answers are provided for almost all of these. Although I was a student who loved reading mathematics, this presentation strikes me as ideal even for the less-interested student who doesn't have the patience to read a lot of pages, and just wants to get to the "Show me how to do the problems" part. Review: not the author's best work - I was somewhat disappointed with this book. I thought Speigel could have done a better job although with the 1959 publication date it seems likely to be only his second book. Maybe he was still cultivating his skill which he became famous for in later years. He was and is highly regarded as an author of "teach yourself" mathematics texts. The book "Vectors" by Moon and Spencer is better.