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Mathématiques et mécanique - L'interaction : Volume I : Les bases par Luigi Morino

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Caractéristiques de l'objet

État: Neuf: Livre neuf, n'ayant jamais été lu ni utilisé, en parfait état, sans pages manquantes ni ...

ISBN-13: 9783662632055

Book Title: Mathematics and Mechanics - The Interplay

ISBN: 9783662632055

Subject Area: Mathematics, Technology & Engineering

Publication Name: Mathematics and Mechanics-The Interplay : Volume I: the Basics

Publisher: Springer Berlin / Heidelberg

Item Length: 9.3 in

Subject: Engineering (General), Mechanical, General, Applied

Publication Year: 2021

Type: Textbook

Format: Hardcover

Language: English

Author: Luigi Morino

Item Weight: 60.8 Oz

Item Width: 6.1 in

Number of Pages: Xxxvi, 1019 Pages

À propos de ce produit

Product Identifiers

Publisher

Springer Berlin / Heidelberg

ISBN-10

3662632055

ISBN-13

9783662632055

eBay Product ID (ePID)

7050423654

Product Key Features

Number of Pages

Xxxvi, 1019 Pages

Language

English

Publication Name

Mathematics and Mechanics-The Interplay : Volume I: the Basics

Publication Year

2021

Subject

Engineering (General), Mechanical, General, Applied

Type

Textbook

Subject Area

Mathematics, Technology & Engineering

Author

Luigi Morino

Format

Hardcover

Dimensions

Item Weight

60.8 Oz

Item Length

9.3 in

Item Width

6.1 in

Additional Product Features

Dewey Edition

Reviews

"This exhaustive and accurate volume, as well as the whole trilogy it belongs to, is essentially a gift for all the people who 'enjoy math and mechanics with their applications' under the honest promise that 'the journey will be rewarding'." (Enzo Bonacci, zbMATH 1491.00005, 2022)

Number of Volumes

1 vol.

Illustrated

Yes

Dewey Decimal

531.01515

Table Of Content

Part I The beginning - Precalculus.- Part II Calculus and dynamics of a particle in one dimension.- Part III Multivariate calculus and mechanics in three dimensions.

Synopsis

Mathematics plays an important role in mechanics and other human endeavours. Validating examples in this first volume include, for instance: the connection between the golden ratio (the "divine proportion" used by Phidias and many other artists and enshrined in Leonardo's Vitruvian Man, shown on the front cover), and the Fibonacci spiral (observable in botany, e.g., in the placement of sunflower seeds); is the coast of Tuscany infinitely long?; the equal-time free fall of a feather and a lead ball in a vacuum; a simple diagnostic for changing your car's shocks; the Kepler laws of the planets; the dynamics of the Sun-Earth-Moon system; the tides' mechanism; the laws of friction and a wheel rolling down a partially icy slope; and many more. The style is colloquial. The emphasis is on intuition - lengthy but intuitive proofs are preferred to simple non-intuitive ones. The mathematical/mechanical sophistication gradually increases, making the volume widely accessible. Intuitionis not at the expense of rigor. Except for grammar-school material, every statement that is later used is rigorously proven. Guidelines that facilitate the reading of the book are presented. The interplay between mathematics and mechanics is presented within a historical context, to show that often mechanics stimulated mathematical developments - Newton comes to mind. Sometimes mathematics was introduced independently of its mechanics applications, such as the absolute calculus for Einstein's general theory of relativity. Bio-sketches of all the scientists encountered are included and show that many of them dealt with both mathematics and mechanics.

LC Classification Number

TA329-348