An Elementary Treatise on the Calculus of Variations by J.H. Jellett
Calculus of Variations - Table of Contents
- 1. Definitions and Principles
- 2. Functions of One Independent Variable
- 3. Maxima and Minima of Indeterminate Functions and indeterminate functions variational optimization
- 4. Application of the Calculus of Variations to Geometry, I: Theory of Curves and curve theory variational geometry
- 5. On Multiple Integrals in General and multiple integrals variation theory
- 6. Functions of Two or More Independent Variables
- 7. On Maxima and Minima of Functions of Two or More Independent Variables
- 8. Application of the Calculus of Variations to Geometry, II: Theory of Surfaces and surface theory minimal area problems
- 9. Application of the Calculus of Variations to Mechanics and variational classical mechanics applications
- 10. Application of the Calculus of Variations to the Integration of Functions
What You Will Learn in Calculus of Variations
An Elementary Treatise on the Calculus of Variations by J.H. Jellett is a fundamental 19th-century classical monograph that systematically develops the analytical principles required to optimize single and multivariable definite integrals. Grounded in the classical formulations of Joseph-Louis Lagrange and Leonhard Euler, this volume provides a rigorous treatment of indeterminate functions, first and second variations, multiple integrals, geometric curve theory, surface theory, and variational mechanics.
Tailored for undergraduate mathematics majors, graduate researchers, and theoretical physicists, Provost Jellett bridges abstract analytical variations with concrete physical and geometric applications. Readers are guided step-by-step through necessary conditions for relative extrema, variations of double and triple integrals, variable boundary constraints, surfaces of minimum area, and mechanical equilibrium conditions.
Prized for its structural clarity, logical rigor, and detailed geometric proofs, it stands as one of the best classical calculus of variations textbooks pdf available for study. It systematically equips scholars with foundational analytical methods for mastering classical variational mechanics with confidence.
Book Details & Specifications
Title:
An Elementary Treatise on the Calculus of Variations by J.H. Jellett
Publisher:
James McGlashan
Year:
1860
Pages:
412
Type:
PDF
Language:
English
ISBN-10 #:
1018368124
ISBN-13 #:
978-1018368122
License:
Public Domain Work
Amazon:
Amazon
About the Author: John Hewitt Jellett
The author John Hewitt Jellett
(1817–1888) was an Irish mathematician and educator, best known for his work in the "calculus of variations". As a professor at Trinity College Dublin, he combined deep knowledge of "mathematics" with clear, accessible teaching, helping students and researchers understand complex theories. Jellett’s writings, including "An Elementary Treatise on the Calculus of Variations", focused on "optimization" and variational methods, offering practical examples alongside rigorous theory. He also served as Provost of Trinity College and made lasting contributions to mathematical education.
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