Mathematical Analysis: An Introduction

di Andrew Browder (Autore)

Springer-Verlag New York Inc., 2012

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.

• Autore: Andrew Browder
• Editore: Springer-Verlag New York Inc.
• Collana: Undergraduate Texts in Mathematics
• Anno: 2012
• Rilegatura: Paperback / softback
• Pagine: 335 p.
• Dimensioni: 235 x 155 mm
• EAN: 9781461268796

Testo in English