From Frechet Differentials to Firing Tables
The Scope and Sources of Gilbert Ames Bliss' Contributions to World War I Era Ballistics
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Product details:
- Edition number 2024
- Publisher Springer Nature Switzerland
- Date of Publication 4 January 2025
- Number of Volumes 1 pieces, Book
- ISBN 9783031682667
- Binding Hardback
- No. of pages374 pages
- Size 235x155 mm
- Language English
- Illustrations XXVII, 374 p. 18 illus., 2 illus. in color. Illustrations, black & white 576
Categories
Long description:
This monograph explores the history of the contribution to ballistics by the American mathematician Gilbert Ames Bliss during World War I. Drawing on the then-evolving calculus of variations, Bliss pioneered a novel technique for solving the problem of differential variations in ballistic trajectory. Called Blissâ€TM adjoint method, this technique was both hailed and criticized at the time: it was seen as both a triumphant application of pure mathematics to an applied problem and as a complex intrusion of higher mathematics into the jobs of military personnel not particularly interested in these matters. Although he received much praise immediately after the War, the details of Blissâ€TM work, its furthering of pure mathematical thought, and its absorption into mainstream ballistic work and instruction have never been adequately examined.
Gluchoff explores the mathematics of Blissâ€TM work and the strands from which his technique was developed. He then documents the efforts to make the adjoint method accessible to military officers and the conflicts that emerged as a result both between mathematicians and officers and among mathematicians themselves. The eventual absorption of the adjoint method into range firing table construction is considered by looking at later technical books which incorporate it, and, finally, its influence on the ongoing development of functional calculus is detailed.
From Frechet Differentials to Firing Tables will appeal to historians of mathematics, physics, engineering, and warfare, as well as current researchers, professors, and students in these areas.
MoreTable of Contents:
Introduction.- First Appearances of Bliss' Method.- Four Sources of Bliss' Method: Existence and Smoothness of Solutions to Differential Equations.- Four Sources of Bliss' Method: The Mayer Problem.- Four Sources of Bliss' Method: Embedding and Implicit Function Theorems.- Four Sources of Bliss' Method: Functions of a Line.- Bliss' Two 1920 Papers.- Introduction of Bliss' Method into Military Settings.- Bliss' Results as Part of the Development of the Functional Calculus at the University of Chicago.- Conclusion.
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