This is a textbook suitable for a year-long course in analysis at the ad? vanced undergraduate or possibly beginning-graduate level. It is intended for students with a strong background in calculus and linear algebra, and a strong motivation to learn mathematics for its own sake. At this stage of their education, such students are generally given a course in abstract algebra, and a course in analysis, which give the fundamentals of these two areas, as mathematicians today conceive them. Mathematics is now a subject splintered into many specialties and sub? specialties, but most of it can be placed roughly into three categories: al? gebra, geometry, and analysis. In fact, almost all mathematics done today is a mixture of algebra, geometry and analysis, and some of the most in? teresting results are obtained by the application of analysis to algebra, say, or geometry to analysis, in a fresh and surprising way. What then do these categories signify? Algebra is the mathematics that arises from the ancient experiences of addition and multiplication of whole numbers; it deals with the finite and discrete. Geometry is the mathematics that grows out of spatial experience; it is concerned with shape and form, and with measur? ing, where algebra deals with counting.
Additional ISBNs
978-1-4612-0715-3
Mathematical Analysis Ebook
An Introduction
By: Andrew Browder
Publisher:
Springer
Print ISBN: 9780387946146, 0387946144
eText ISBN: 9781461207153, 1461207150
Copyright year: 1996
Format: PDF
Available from $ 36.00 USD
SKU: 9781461207153R180
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