國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Mathematics and mechanicsthe interpl...

Morino, Luigi.

Mathematics and mechanicsthe interplay.Volume I,The basics /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Mathematics and mechanicsby Luigi Morino.
其他題名:	the interplay.
其他題名:	Basics
作者:	Morino, Luigi.
出版者:	Berlin, Heidelberg :Springer Berlin Heidelberg :2021.
面頁冊數:	xxxvi, 1019 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Mathematics.
電子資源:	https://doi.org/10.1007/978-3-662-63207-9
ISBN:	9783662632079$q(electronic bk.)

Mathematics and mechanicsthe interplay.Volume I,The basics /
Morino, Luigi.

Mathematics and mechanicsthe interplay.Volume I,The basics /[electronic resource] :Basicsby Luigi Morino. - Berlin, Heidelberg :Springer Berlin Heidelberg :2021. - xxxvi, 1019 p. :ill., digital ;24 cm.

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.

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. Intuition is 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.

ISBN: 9783662632079$q(electronic bk.)

Standard No.: 10.1007/978-3-662-63207-9doiSubjects--Topical Terms:

184409
Mathematics.

LC Class. No.: QA805

Dewey Class. No.: 515.39

Mathematics and mechanicsthe interplay.Volume I,The basics /
LDR:02816nmm a2200337 a 4500 001 602275
003 DE-He213
005 20210625093635.0
006 m d
007 cr nn 008maaau
008 211112s2021 gw s 0 eng d
020 $a 9783662632079$q(electronic bk.)
020 $a 9783662632055$q(paper)
024 7 $a 10.1007/978-3-662-63207-9 $2 doi
035 $a 978-3-662-63207-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QA805
072 7 $a TBJ $2 bicssc
072 7 $a TEC009000 $2 bisacsh
072 7 $a TBJ $2 thema
082 0 4 $a 515.39 $2 23
090 $a QA805 $b .M859 2021
100 1 $a Morino, Luigi. $3 897919
245 1 0 $a Mathematics and mechanics $h [electronic resource] : $b the interplay. $n Volume I, $p The basics / $c by Luigi Morino.
246 3 0 $a Basics
260 $a Berlin, Heidelberg : $b Springer Berlin Heidelberg : $b Imprint: Springer, $c 2021.
300 $a xxxvi, 1019 p. : $b ill., digital ; $c 24 cm.
505 0 $a 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.
520 $a 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. Intuition is 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.
650 0 $a Mathematics. $3 184409
650 0 $a Mechanics. $3 200022
650 1 4 $a Mathematical and Computational Engineering. $3 775095
650 2 4 $a Theoretical and Applied Mechanics. $3 274501
650 2 4 $a Mathematical Physics. $3 522725
650 2 4 $a Classical Mechanics. $3 769955
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-662-63207-9
950 $a Engineering (SpringerNature-11647)