An Elementary Treatise on the Calculus of Variations by John Hewitt Jellett - PDF

About this book :-
"An Elementary Treatise on the Calculus of Variations" by John Hewitt Jellett is a classic introduction to the "calculus of variations", a branch of mathematics focused on finding functions that optimize specific outcomes. Unlike regular calculus, which deals with numbers, this field studies "optimization" of functions and curves, making it essential for mathematics, physics, and engineering. Jellett presents these complex ideas with clarity, making the subject approachable for both students and researchers. The book carefully explains foundational principles, including the "Euler–Lagrange equation", which lies at the heart of variational problems. Through detailed examples and step-by-step methods, Jellett demonstrates how to solve real-world problems in mechanics, geometry, and other areas that rely on optimizing functionals. His clear style helps readers build a strong conceptual understanding while developing practical problem-solving skills. Ideal for learners and scholars, Jellett’s treatise combines rigorous mathematics with accessible explanations. It not only introduces the theory behind the "calculus of variations" but also guides readers through practical "optimization" techniques used in science and engineering. Even today, this work remains a valuable reference for anyone seeking to understand the principles and applications of variational methods.

Book Detail :-
Title: An Elementary Treatise on the Calculus of Variations by John Hewitt Jellett - PDF
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 Author :-
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.

Book Contents :-
1. Definitions and Principles 2. Functions of One Independent Variable 3. Maxima and Minima of Indeterminate Functions of One Independent Variable 4. Application of the Calculus of Variations to Geometry, I – Theory of Curves 5. On Multiple Integrals in General 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 9. Application of the Calculus of Variations to Mechanics 10. Application of the Calculus of Variations to the Integration of Functions of One or More Independent Variables

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