Lectures on the Theory of Functions of Real Variables Vol 2 by James Pierpont
Theory of Functions of Real Variables 2 - Table of Contents
- 17. Point Sets and Proper Integrals
- 18. Improper Multiple Integrals
- 19. Series
- 20. Multiple Series
- 21. Series of Functions
- 22. Power Series
- 23. Infinite Products
- 24. Sets
- 25. Ordinal Numbers
- 26. Point Sets (Further Development)
- 27. Measure
- 28. Lebesgue Integrals
- 29. Fourier Series
- 30. Discontinuous Functions
- 31. Derivatives, Extrema, Variation
- 32. Sub- and Infra-Uniform Convergence
- 33. Geometric Notions
What You Will Learn in Theory of Functions of Real Variables 2
Lectures on the Theory of Functions of Real Variables (Volume 2) by James Pierpont is a landmark early 20th-century treatise on advanced mathematical analysis. Written for graduate scholars and pure mathematicians, this work serves as an indispensable reference for functions of real variables real analysis problem solving practice.
The volume systematically explores implicit functions, multiple integrals, line and surface integrals, differential geometry of curves, Fourier series, and Dirichlet problems. By providing rigorous proofs alongside historical insight, Pierpont enables readers to carry out essential real analysis multivariable calculus derivations with foundational clarity.
Treasured by researchers and historians for its structural precision and thoroughness, this classic text remains an important pillar in real analysis literature. Pierpont’s comprehensive coverage arms students with analytical depth necessary for mastering classical real variable theory principles.
Book Details & Specifications
Title:
Lectures on the Theory of Functions of Real Variables Vol 2 by James Pierpont
Publisher:
Ginn
Year:
1905
Pages:
668
Type:
PDF
Language:
English
ISBN-10 #:
1164080067
ISBN-13 #:
978-1164080060
License:
Public Domain Work
Amazon:
Amazon
About the Author: James Pierpont
The author James Pierpont
(1866–1938) was a distinguished American mathematician and longtime Professor of Mathematics at Yale University, widely recognized for introducing modern European rigor in analysis to American universities. Throughout his career at Yale, Professor Pierpont published major foundational textbooks, providing generations of mathematicians with authoritative advanced real analysis study guides.
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