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Die Werke von Johann I und Nicolaus II Bernoulli: Band 6: Mechanik I

Autor Johann I Bernoulli Editat de Piero Villaggio Patricia Radelet de Grave Autor Nicolaus II Bernoulli
en Limba Engleză Hardback – 14 noi 2007
This volume on mechanics of rigid and elastic bodies contains early papers of Bernoulli concerning geometric statics, accompanied by works dealing with the motion of compound pendula and the deformation of beams.
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Specificații

ISBN-13: 9783764373672
ISBN-10: 3764373679
Pagini: 695
Ilustrații: XXII, 695 p.
Dimensiuni: 185 x 258 x 47 mm
Ediția:2008
Editura: Birkhäuser Basel
Colecția Birkhäuser
Locul publicării:Basel, Switzerland

Public țintă

Research

Descriere

Johann Bernoulli is well known in the history of mechanics for his solution of the brachistochrone problem and for his first formulation of the principle of virtual works. However, his interests extend beyond to cover almost all areas of classical mechanics including rigid bodies motions, oscillations of pendula, impacts, motions of planets, and elastic beam deformation. Bernoulli is an acute observer of physical phenomena. His problems are always inspired by concrete examples, like the work of a crane, the manoeuvre of a rudder, the inflation of a sail.

Cuprins

Differential statics.- Dynamics.- Various mechanical and dynamical propositions.- Problems concerning rigid triangular wedges.- Criticism of de la Hire’s analysis.- Central forces.- The living forces.- Bernoulli’s notion of living forces and applications.- Manuscripts on mechanics.- Elasticity.- Problems concerning strings.- Vibrating strings.- Further solutions to the equations of the catenary.- A solution for the Elastica.- Multiple pendula.- Manuscripts on elasticity.

Textul de pe ultima copertă

This volume on mechanics of rigid and elastic bodies contains early papers concerning geometric statics, accompanied by works dealing with the motion of compound pendula and the deformation of beams. The papers on mechanics in this volume do not encompass the area of hydraulics, which occupies approximately one half of the papers dealing with mechanical problems and which are included in volume 7. This collection constitutes, roughly, one eighth of the entire work written by Bernoulli.

Caracteristici

First derivation of the theory of the physical pendulum
Famous theorema aureum
Includes supplementary material: sn.pub/extras

Notă biografică

Enrico Giusti is Professor Emeritus from the University of Florence, and the director of "Garden of Archimedes", a museum devoted to mathematics in Florence, Italy.

Clara Silvia Roero is Professor at the Dipartimento di Matematica “Giuseppe Peano” at the University of Turin, Italy.

Patricia Radelet-de Grave is Professor Emeritus from the Université catholique de Louvain. She has contributed in different roles to the Bernoulli edition project since 1974.