Title: The Theory of Functions of a Real Variable and the Theory of Fourier's Series, by E W Hobson Classic Reprint
Publisher: Forgotten Books
Publication Date: 2018
Language: English
ISBN 10: 1528551397
ISBN 13: 9781528551397
Binding: HRD
Condition: New
Weight: 1302 grams

About this title

Synopsis

Explore the foundations of real-variable analysis and the power of Fourier series.

This classic work presents a clear, methodical account of how functions behave on the real line, how limits and continuity shape their properties, and how these ideas underpin the calculation of integrals and the representation of functions by series. Written to unite rigorous theory with accessible explanation, it guides readers from fundamental concepts to the frontier ideas that drove early 20th‑century analysis.

This edition surveys the development of the theory of functions of a real variable, including the theory of sets of points and the role of limits, continuity, and differentiability. It also traces the historical and technical roots of Fourier’s series and shows how series can represent functions in a precise, useful way. The treatment emphasizes definitions, theorems, and the logical structure that supports modern analysis, while illustrating key methods with classical problems in mathematical physics and geometry.

Learn how the arithmetic continuum and limits shape the study of functions
See how integration is defined, extended, and connected to differentiation
Understand how functions are represented by trigonometric and other series
Explore the theory of sets, aggregates, and the foundations of real numbers

Ideal for students and readers who value a rigorous, connected presentation of real analysis and Fourier methods, with historical context and careful proofs.

"About this title" may belong to another edition of this title.

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