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| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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220222b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783030705749 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
515.35 |
| Item number |
GRA |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Gray, Jeremy |
| 245 ## - TITLE STATEMENT |
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| Title |
Change and variations : a history of differential equations to 1900 |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Name of publisher, distributor, etc |
Springer, |
| Date of publication, distribution, etc |
2021 |
| Place of publication, distribution, etc |
Cham : |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xxii, 419 p. ; |
| Other physical details |
44 ill., 13 ill. in color, |
| Dimensions |
24 cm |
| 365 ## - TRADE PRICE |
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| Price amount |
34.99 |
| Price type code |
EUR |
| Unit of pricing |
88.10 |
| 490 ## - SERIES STATEMENT |
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| Series statement |
Springer undergraduate mathematics series |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and index. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
This book presents a history of differential equations, both ordinary and partial, as well as the calculus of variations, from the origins of the subjects to around 1900. Topics treated include the wave equation in the hands of d'lembert and Euler; Fourier solutions to the heat equation and the contribution of Kovalevskaya; the work of Euler, Gauss, Kummer, Riemann, and Poincaré on the hypergeometric equation; Green's functions, the Dirichlet principle, and Schwarz's solution of the Dirichlet problem; minimal surfaces; the telegraphists' equation and Thomson's successful design of the trans-Atlantic cable; Riemann's paper on shock waves; the geometrical interpretation of mechanics; and aspects of the study of the calculus of variations from the problems of the catenary and the brachistochrone to attempts at a rigorous theory by Weierstrass, Kneser, and Hilbert. Three final chapters look at how the theory of partial differential equations stood around 1900, as they were treated by Picard and Hadamard. There are also extensive, new translations of original papers by Cauchy, Riemann, Schwarz, Darboux, and Picard. The first book to cover the history of differential equations and the calculus of variations in such breadth and detail, it will appeal to anyone with an interest in the field. Beyond secondary school mathematics and physics, a course in mathematical analysis is the only prerequisite to fully appreciate its contents. Based on a course for third-year university students, the book contains numerous historical and mathematical exercises, offers extensive advice to the student on how to write essays, and can easily be used in whole or in part as a course in the history of mathematics. Several appendices help make the book self-contained and suitable for self-study. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Mathematics |
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| Topical term or geographic name as entry element |
History |
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| Topical term or geographic name as entry element |
Mathematical analysis |
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| Topical term or geographic name as entry element |
Differential equations |
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| Topical term or geographic name as entry element |
Curve principal |
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| Topical term or geographic name as entry element |
Cycloid |
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| Topical term or geographic name as entry element |
Heat equation |
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| Topical term or geographic name as entry element |
Laplace equation |
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| Topical term or geographic name as entry element |
Gauss equation. |
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| Topical term or geographic name as entry element |
Potential theory |
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| Topical term or geographic name as entry element |
Wave equation |
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| Topical term or geographic name as entry element |
Partial differential equation |
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| Topical term or geographic name as entry element |
Mobins transformations |
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| Topical term or geographic name as entry element |
Rational mechanics |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
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| Item type |
Books |