Introduction to Infinitesimal Analysis: Functions of One Real Variable (Classic Reprint) - Hardcover

Oswald Veblen

9780265281956: Introduction to Infinitesimal Analysis: Functions of One Real Variable (Classic Reprint)

Hardcover

ISBN 10: 0265281954 ISBN 13: 9780265281956

Publisher: Forgotten Books, 2017

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A rigorous, compact guide to real analysis for advanced study.

This concise volume presents the fundamentals of infinitesimal analysis for functions of a real variable, focusing on clear logic and essential theorems. It is designed as a practical reference for courses in advanced calculus and real function theory.

This edition emphasizes rigorous development of limits, continuity, and the core ideas of derivatives and integrals, with a structure that helps learners grasp the major concepts without getting lost in complex machinery. It also introduces multiple-valued perspectives and the definite integral, offering a solid foundation for further study in analysis.

Clear definitions and theorems on limits, continuity, and differentiability
systematic treatment of infinitesimals and differential notation
Connections between derivatives and integrals, with key theorems and corollaries
Guidance suitable for a structured course in real variable theory and analysis

Ideal for readers of advanced calculus, real analysis, or a first rigorous course in the theory of functions of a real variable. This edition serves as a compact reference that supports classroom learning and self‑study.

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