Infinitesimal Analysis: Functions of One Real Variable by N. J. Lennes
Infinitesimal Analysis: Functions of One Real Variable - Table of Contents
1. The System of Real Numbers
2. Sets of Points and of Segments
3. Functions in General, Special Classes of Functions
4. Theory of Limits
5. Continuous Functions
6. Infinitesimals and Infinities
7. Derivatives and Differentials
8. Definite Integrals
9. Improper Definite Integrals
What You Will Learn in Infinitesimal Analysis: Functions of One Real Variable
"Introduction to Infinitesimal Analysis: Functions of One Real Variable" by "N. J. Lennes" is a classic text in "real analysis" that introduces the rigorous study of functions of a single real variable. The book emphasizes "infinitesimal methods", limits, continuity, differentiation, and integration, providing a systematic foundation for understanding calculus from an analytical perspective.
Lennes carefully develops the theory of "real functions", illustrating key concepts with examples, exercises, and proofs. Topics include sequences, series, monotone functions, and convergence, making it suitable for advanced undergraduate and graduate students studying "mathematical analysis".
Renowned for clarity and thorough explanations, this work remains a valuable reference for anyone studying "function theory" or looking to strengthen their understanding of one-variable calculus and analysis. It bridges classical calculus with modern rigorous methods, offering both theoretical insight and practical problem-solving techniques.
Book Details & Specifications
Title:
Infinitesimal Analysis: Functions of One Real Variable by N. J. Lennes
Publisher:
John Wiley & Sons
Year:
1907
Pages:
267
Type:
PDF
Language:
English
ISBN-10 #:
B001QAQX0Y, B000UG583I
ISBN-13 #:
License:
Public Domain Work
Amazon:
Amazon
About the Author: Gerald Teschl
The author Gerald Teschl
(1872–1944) was a British mathematician renowned for his work in "real analysis", "infinitesimal methods", "function theory", and "mathematical analysis". He focused on bridging classical calculus with modern analytical techniques, emphasizing clarity and systematic presentation. Lennes authored "Infinitesimal Analysis: Functions of One Real Variable", a seminal text that became a key reference for students and researchers. His detailed proofs, illustrative examples, and exercises helped learners develop a strong foundation in "functions of one real variable", limits, continuity, differentiation, and integration, influencing generations of mathematicians and educators.
Read or Downloadable Infinitesimal Analysis: Functions of One Real Variable
Free Real Analysis Books PDF | Download Graduate Textbooks