Language:
English
繁體中文
Help
回圖書館首頁
手機版館藏查詢
Login
Back
Switch To:
Labeled
|
MARC Mode
|
ISBD
Mathematics and mechanics = the inte...
~
Morino, Luigi.
Linked to FindBook
Google Book
Amazon
博客來
Mathematics and mechanics = the interplay.. Volume I,. The basics /
Record Type:
Electronic resources : Monograph/item
Title/Author:
Mathematics and mechanics/ by Luigi Morino.
Reminder of title:
the interplay.
remainder title:
Basics
Author:
Morino, Luigi.
Published:
Berlin, Heidelberg :Springer Berlin Heidelberg : : 2021.,
Description:
xxxvi, 1019 p. :ill., digital ;24 cm.
[NT 15003449]:
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.
Contained By:
Springer Nature eBook
Subject:
Mathematics. -
Online resource:
https://doi.org/10.1007/978-3-662-63207-9
ISBN:
9783662632079
Mathematics and mechanics = the interplay.. Volume I,. The basics /
Morino, Luigi.
Mathematics and mechanics
the 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
Standard No.: 10.1007/978-3-662-63207-9doiSubjects--Topical Terms:
515831
Mathematics.
LC Class. No.: QA805
Dewey Class. No.: 515.39
Mathematics and mechanics = the interplay.. Volume I,. The basics /
LDR
:02816nmm a2200337 a 4500
001
2244617
003
DE-He213
005
20210625093635.0
006
m d
007
cr nn 008maaau
008
211207s2021 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
3505634
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
515831
650
0
$a
Mechanics.
$3
525881
650
1 4
$a
Mathematical and Computational Engineering.
$3
3226306
650
2 4
$a
Theoretical and Applied Mechanics.
$3
896500
650
2 4
$a
Mathematical Physics.
$3
1542352
650
2 4
$a
Classical Mechanics.
$3
3216970
710
2
$a
SpringerLink (Online service)
$3
836513
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)
based on 0 review(s)
Location:
ALL
電子資源
Year:
Volume Number:
Items
1 records • Pages 1 •
1
Inventory Number
Location Name
Item Class
Material type
Call number
Usage Class
Loan Status
No. of reservations
Opac note
Attachments
W9405663
電子資源
11.線上閱覽_V
電子書
EB QA805
一般使用(Normal)
On shelf
0
1 records • Pages 1 •
1
Multimedia
Reviews
Add a review
and share your thoughts with other readers
Export
pickup library
Processing
...
Change password
Login