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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Allg. & Lexika The Early Period of the Calculus of Variations
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The Early Period of the Calculus of Variations
Paolo Freguglia (Taschenbuch, Englisch)
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Beschreibung
This monograph explores the early development of the calculus of variations in continental Europe during the Eighteenth Century by illustrating the mathematics of its founders. Closely following the original papers and correspondences of Euler, Lagrange, the Bernoullis, and others, the reader is immersed in the challenge of theory building. We see what the founders were doing, the difficulties… they faced, the mistakes they made, and their triumphs. The authors guide the reader through these works with instructive commentaries and complements to the original proofs, as well as offering a modern perspective where useful. The authors begin in 1697 with Johann Bernoulli’s work on the brachystochrone problem and the events leading up to it, marking the dawn of the calculus of variations. From there, they cover key advances in the theory up to the development of Lagrange’s δ-calculus, including: • The isoperimetrical problems • Shortest lines and geodesics • Euler’s Methodus Inveniendi and the two Additamenta Finally, the authors give the readers a sense of how vast the calculus of variations has become in centuries hence, providing some idea of what lies outside the scope of the book as well as the current state of affairs in the field. This book will be of interest to anyone studying the calculus of variations who wants a deeper intuition for the techniques and ideas that are used, as well as historians of science and mathematics interested in the development and evolution of modern calculus and analysis. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
31.05.2018
Sprache
Englisch
EAN
9783319817798
Herausgeber
Springer International Publishing
Sonderedition
Nein
Autor
Paolo Freguglia
Seitenanzahl
293
Auflage
Softcover reprint of the original 1st edition 2016
Einbandart
Taschenbuch
Schlagwörter
Calculus of Variations, Infinitesimals, Johann Bernoulli, Jakob Bernoulli, Brachystochrone Problem, Leonhard Euler, Isoperimetric Problems, Lagrange's delta-Calculus
Thema-Inhalt
PBX - Geschichte der Mathematik
PBU - Optimierung
Höhe
235 mm
Breite
15.5 cm
Hersteller: Birkhäuser, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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