Isoperimetrical Problems and Calculus of Variations by Robert Woodhouse
Isoperimetrical Problems and Calculus of Variations - Table of Contents
- 1. The Problem of the Curve of Quickest Descent Proposed and brachistochrone problem formulation
- 2. Isoperimetrical Problems Proposed by James Bernoulli
- 3. Euler's First Memoir on Isoperimetrical Problems and early euler variational methods
- 4. Euler's Second Memoir: General Formulae of Solution
- 5. Euler's Tract: Methodus Inveniendi Lineas Curvas and methodus inveniendi variational principles
- 6. Lagrange's Memoir and lagrange analytical variation method
- 7. Lagrange's General Method of Treating Isoperimetrical Problems
- 8. Particular Formulae Deduced from the General One
What You Will Learn in Isoperimetrical Problems and Calculus of Variations
A Treatise on Isoperimetrical Problems and the Calculus of Variations by Robert Woodhouse is a landmark historical exposition that traces the development of variational calculus through its foundational memoirs. Originally published in 1810, this seminal work introduced European differential notation to the English-speaking world, offering an in-depth treatment of the curve of quickest descent, James Bernoulli's isoperimetrical problems, Euler's Methodus Inveniendi, and Lagrange's analytical delta method.
Tailored for graduate students, historians of mathematics, and theoretical analysts, Woodhouse bridges the early geometric challenges of Johann and James Bernoulli with the groundbreaking memoirs of Leonhard Euler and Joseph-Louis Lagrange. The text systematically examines early general formulae, particular derived solutions, and the transition from geometric constructions to general analytical variational algorithms.
Prized for its meticulous historical accuracy, foundational importance in analysis, and clear expository style, it stands as one of the best historical calculus of variations textbooks pdf available for study. It systematically equips readers with deep contextual insights for mastering classical variational methods with confidence.
Book Details & Specifications
Title:
Isoperimetrical Problems and Calculus of Variations by Robert Woodhouse
Publisher:
Cambridge, Eng.
Year:
1810
Pages:
181
Type:
PDF
Language:
English
ISBN-10 #:
1165265974
ISBN-13 #:
978-1165265978
License:
Public Domain Work
Amazon:
Amazon
About the Author: Robert Woodhouse
The author Robert Woodhouse
(1773–1827) was a distinguished English mathematician, Lucasian Professor of Mathematics, and Plumian Professor of Astronomy at the University of Cambridge.
A founding member of the Analytical Society alongside Charles Babbage and John Herschel, Woodhouse played a pivotal role in reforming British mathematics by promoting continental European calculus and analytical methods over traditional Newtonian fluxions.
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