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

Oswald Veblen

Softcover

ISBN 10: 1390930165 ISBN 13: 9781390930160

Publisher: Forgotten Books, 2018

Synopsis

Introduction to Infinitesimal Analysis: Functions of One Real Variable presents a rigorous course in the fundamentals of real analysis.

Designed as a compact reference for advanced calculus, it builds a solid framework for understanding real functions, limits, continuity, infinitesimals, derivatives, and definite integrals. The text emphasizes logical rigor with a minimum of machinery, guiding readers from the system of real numbers to the core theorems that underpin analysis.

This edition surveys essential topics in a clear, approachable way, showing how limits and infinitesimals relate to function behavior. It also introduces tools like the Heine-Borel approach to streamline proofs and deepen intuition about convergence, continuity, and variation. Suitable for upper-level undergraduates and graduate students, the book aims to equip readers with a solid, practical command of analysis through precise definitions, structured theorems, and carefully chosen examples.

• Foundations of the real numbers, including rationality, irrationality, and the continuity axiom
• Definitions and properties of functions, limits, and continuity
• The calculus of infinitesimals, derivatives, and differentials
• Definite integrals, improper integrals, and their applications

Ideal for readers preparing for higher mathematics coursework or research, this edition serves as a focused, compact reference for the theory and techniques of infinitesimal analysis.

Edition details

• Publisher: Forgotten Books
• Publication date: 2018
• Language: English
• ISBN 10: 1390930165
• ISBN 13: 9781390930160
• Binding: Paperback
• Number of pages: 260