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The Evolution of Dynamics: Vibration Theory from 1687 to 1742: Vibration Theory from 1687 to 1742 (Studies in the History of Mathematics and Physical Sciences, 6, Band 6) - Cannon, J. T. Dostrovsky, S.
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Cannon, J. T. Dostrovsky, S.:

The Evolution of Dynamics: Vibration Theory from 1687 to 1742: Vibration Theory from 1687 to 1742 (Studies in the History of Mathematics and Physical Sciences, 6, Band 6) - hardcover

1981, ISBN: 9780387906263

Springer, Gebundene Ausgabe, Auflage: 1981, 193 Seiten, Publiziert: 1981-12-01T00:00:01Z, Produktgruppe: Buch, 1 kg, Mathematik, Naturwissenschaften & Technik, Kategorien, Bücher, Mathema… More...

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The Evolution of Dynamics: Vibration Theory from 1687 to 1742: Vibration Theory from 1687 to 1742 (Studies in the History of Mathematics and Physical Sciences, 6, Band 6) - Cannon, J. T. Dostrovsky, S.
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Cannon, J. T. Dostrovsky, S.:

The Evolution of Dynamics: Vibration Theory from 1687 to 1742: Vibration Theory from 1687 to 1742 (Studies in the History of Mathematics and Physical Sciences, 6, Band 6) - hardcover

1981, ISBN: 9780387906263

Springer, Gebundene Ausgabe, Auflage: 1981, 193 Seiten, Publiziert: 1981-12-01T00:00:01Z, Produktgruppe: Buch, 1 kg, Mathematik, Naturwissenschaften & Technik, Kategorien, Bücher, Mathema… More...

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The Evolution of Dynamics: Vibration Theory from 1687 to 1742: 6 (Studies in the History of Mathematics & Physical Sciences) - Cannon, J. T. Dostrovsky, S.
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Cannon, J. T. Dostrovsky, S.:
The Evolution of Dynamics: Vibration Theory from 1687 to 1742: 6 (Studies in the History of Mathematics & Physical Sciences) - hardcover

1981

ISBN: 9780387906263

Springer-Verlag New York Inc. Hardcover, Auflage: 1981 ed. 193 Seiten, Publiziert: 1981-12-01T00:00:01Z, Produktgruppe: Book, 0.45 kg, English, Mathematical, Physics, Science, Nature & Ma… More...

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The evolution of dynamics : vibration theory from 1687 to 1742 : with 10 illustrations - John T Cannon, Sigalia Dostrovsky
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John T Cannon, Sigalia Dostrovsky:
The evolution of dynamics : vibration theory from 1687 to 1742 : with 10 illustrations - hardcover

1981, ISBN: 9780387906263

gewerbliches Angebot, [SC: 10.25], Zeer goed, [PU: New York : Springer-Verlag, �1981.], NL, ix, 184 pages : illustrations ; .Includes bibliographical references (pages 177-181) and inde… More...

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Dostrovsky, S.,Cannon, J. T.:
The Evolution of Dynamics: Vibration Theory from 1687 to 1742 (Studies in the History of Mathematics and Physical Sciences) - hardcover

1982, ISBN: 9780387906263

Springer, 1982-01-01. Hardcover. Good. 0.4569 in x 23.2995 in x 17.5127 in. Ex-library book, Usual stamps and markings. Hardback/Hardcover. Clean copy in good condition., Springer, 1982-0… More...

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The Evolution of Dynamics: Vibration Theory from 1687 to 1742: 6 (Studies in the History of Mathematics & Physical Sciences)
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ISBN:

9780387906263


In this study we are concerned with Vibration Theory and the Problem of Dynamics during the half century that followed the publication of Newton's Principia. The relationship that existed between these subject!! is obscured in retrospection for it is now almost impossible not to view (linear) Vibration Theory as linearized Dynamics. But during the half century in question a theory of Dynamics did not exist; while Vibration Theory comprised a good deal of acoustical information, posed definite problems and obtained specific results. In fact, it was through problems posed by Vibration Theory that a general theory of Dynamics was motivated and discovered. Believing that the emergence of Dynamics is a critically important link in the history of mathematical science, we present this study with the primary goal of providing a guide to the relevant works in the aforemen­ tioned period. We try above all to make the contents of the works readily accessible and we try to make clear the historical connections among many of the pertinent ideas, especially those pertaining to Dynamics in many degrees of freedom. But along the way we discuss other ideas on emerging subjects such as Calculus, Linear Analysis, Differential Equations, Special Functions, and Elasticity Theory, with which Vibration Theory is deeply interwound. Many of these ideas are elementary but they appear in a surprising context: For example the eigenvalue problem does not arise in the context of special solutions to linear problems-it appears as a condition for isochronous vibrations.

Details of the book - The Evolution of Dynamics: Vibration Theory from 1687 to 1742: 6 (Studies in the History of Mathematics & Physical Sciences)


EAN (ISBN-13): 9780387906263
ISBN (ISBN-10): 0387906266
Hardcover
Paperback
Publishing year: 1982
Publisher: Springer-Verlag New York Inc.

Book in our database since 2008-08-26T03:11:18-04:00 (New York)
Book found last time on 2026-04-12T10:29:28-04:00 (New York)
ISBN/EAN: 9780387906263

ISBN - alternate spelling:
0-387-90626-6, 978-0-387-90626-3
Alternate spelling and related search-keywords:
Book author: cannon dostrovsky, sigalia dostrovsky
Book title: mathematics and history, the evolution dynamics vibration theory from 1687 1742, physical mathematics, history and theory studies the

Information from Publisher

Author: J. T. Cannon; S. Dostrovsky
Title: Studies in the History of Mathematics and Physical Sciences; The Evolution of Dynamics: Vibration Theory from 1687 to 1742 - Vibration Theory from 1687 to 1742
Publisher: Springer; Springer US
184 Pages
Publishing year: 1981-12-01
New York; NY; US
Weight: 0,460 kg
Language: English
85,55 € (DE)
87,95 € (AT)
106,60 CHF (CH)
Not available, publisher indicates OP

BB; Book; Hardcover, Softcover / Mathematik; Mathematik; Verstehen; Evolution; Schwingung; equation; theorem; function; calculus; Degrees of freedom; Finite; B; Mathematics, general; Mathematics and Statistics; Theoretical, Mathematical and Computational Physics; Mathematische Physik; BC; EA

1. Introduction.- 2. Newton (1687).- 2.1. Pressure Wave.- 2.2. Remarks.- 3. Taylor (1713).- 3.1. Vibrating String.- 3.2. Absolute Frequency.- 3.3. Remarks.- 4. Sauveur (1713).- 4.1. Vibrating String.- 4.2. Remarks.- 5. Hermann (1716).- 5.1. Pressure Wave.- 5.2. Vibrating String.- 5.3. Remarks.- 6. Cramer (1722).- 6.1. Sound.- 6.2. Remarks.- 7. Euler (1727).- 7.1. Vibrating Ring.- 7.2. Sound.- 8. Johann Bernoulli (1728).- 8.1. Vibrating String (Continuous and Discrete).- 8.2. Remark on the Energy Method.- 9. Daniel Bernoulli (1733; 1734); Euler (1736) …..- 9.1. Linked Pendulum and Hanging Chain.- 9.2. Laguerre Polynomials and J0.- 9.3. Double and Triple Pendula.- 9.4. Roots of Polynomials.- 9.5. Zeros of J0.- 9.6. Other Boundary Conditions.- 9.7. The Bessel Functions Jv.- 10. Euler (1735).- 10.1. Pendulum Condition.- 10.2. Vibrating Rod.- 10.3. Remarks.- 11. Johann II Bernoulli (1736).- 11.1. Pressure Wave.- 11.2. Remarks.- 12. Daniel Bernoulli (1739; 1740).- 12.1. Floating Body.- 12.2. Remarks.- 12.3. Dangling Rod.- 12.4. Remarks on Superposition.- 13. Daniel Bernoulli (1742).- 13.1. Vibrating Rod.- 13.2. Absolute Frequency and Experiments.- 13.3. Superposition.- 14. Euler (1742).- 14.1. Linked Compound Pendulum.- 14.2. Dangling Rod and Weighted Chain.- 15. Johann Bernoulli (1742) no.- 15.1. One Degree of Freedom.- 15.2. Dangling Rod.- 15.3. Linked Pendulum I.- 15.4. Linked Pendulum II.- Appendix: Daniel Bernoulli’s Papers on the Hanging Chain and the Linked Pendulum.- Theoremata de Oscillationibus Corporum.- De Oscillationibus Filo Flexili Connexorum.- Theorems on the Oscillations of Bodies.- On the Oscillations of Bodies Connected by a Flexible Thread.
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