Real Analysis, an advanced undergraduate and graduate course, provides a challenging but approachable curriculum in the field. Carothers writes in an informal style and includes historical commentary along with notes and references, assuming only a basic understanding of real analysis or advanced calculus. The book examines metric and linear spaces, with a focus on normed linear spaces and an introduction to general topology. Function spaces are covered, along with well-known applications like functions of bounded variation, Riemann-Stieltjes integration, Weierstrass and Stone-Weierstrass approximation theorems, and a quick overview of Fourier analysis. Lastly, it looks at integration on the line and Lebesgue measure. The text is completed with numerous exercises and illustrations. Real Analysis will be of interest to researchers in the fields of statistics, education, engineering, and economics as well as students studying pure and applied mathematics.
৳1275 ৳1475-13.56%
- Brand: Cambridge University
- SKU: 9780521696241
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