Vector and tensor calculus for engineers

Ryszard Buczkowski

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ISBN/ISSN:

978-83-01-23103-3

DOI:

https://doi.org/10.53271/2023.086

Wydawnictwo:

Wydawnictwo Naukowe PWN

Rok wydania:

2023

Liczba stron:

240

XML:ISBN/ISSN:

ONIX MARC21

Bibliografia:

Buczkowski, Ryszard. Vector and tensor calculus for engineers. Red. . Warszawa: Wydawnictwo Naukowe PWN, 2023, 240 s. ISBN 978-83-01-23103-3, doi: https://doi.org/10.53271/2023.086

Bibliografia refWorks:

RT Book, Whole

SR Electronic(1)

A1 Buczkowski, R.

T1 Vector and tensor calculus for engineers

PB Wydawnictwo Naukowe PWN

PP Warszawa

YR 2023

SN 978-83-01-23103-3

DOI https://doi.org/10.53271/2023.086

Bibliografia BibTex:

@Book{ 293262, author = "Buczkowski, Ryszard", editor = "", title = "Vector and tensor calculus for engineers", publisher = "Wydawnictwo Naukowe PWN", year = "2023", address = "Warszawa", isbn = "978-83-01-23103-3", doi = "https://doi.org/10.53271/2023.086" }

Bibliografia endNote:

TY - BOOK

AU - Buczkowski, Ryszard

ED -

TI - Vector and tensor calculus for engineers

PB - Wydawnictwo Naukowe PWN

CY - Warszawa

PY - 2023

SN - 978-83-01-23103-3

ER -

DOI - https://doi.org/10.53271/2023.086

Netografia (standard APA):

Buczkowski, Ryszard. Vector and tensor calculus for engineers [baza danych online] Warszawa: Wydawnictwo Naukowe PWN, 2023 [dostęp: 04 07 2024]. Dostęp w Ibuk Libra: https://libra.ibuk.pl/reader/vector-and-tensor-calculus-for-engineers-ryszard-buczkowski-293262. doi: https://doi.org/10.53271/2023.086

Rachunek tensorowy, rachunek wektorowy, vector calculus, tensor calculus

Książka jest tłumaczeniem wydanego w 2020 roku przez PWN podręcznika „Rachunek wektorowy i tensorowy dla inżynierów”. Przedstawia podstawy rachunku wektorowego i tensorowego, praktyczne ich zastosowanie w obliczeniach wybranych zagadni...

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ISBN/ISSN:

978-83-01-23103-3

DOI:

https://doi.org/10.53271/2023.086

Wydawnictwo:

Wydawnictwo Naukowe PWN

Rok wydania:

2023

Liczba stron:

240

XML:ISBN/ISSN:

ONIX MARC21

Introduction6
Chapter 1. Fundamentals of vector and tensor calculus12
Chapter 2. Point motion in curvilinear coordinates76
Chapter 3. Vector calculus – kinematics (plane motion)126
Chapter 4. Vector calculus – kinematics (spherical motion)144
Chapter 5. Tensor calculus – moments of inertia156
Chapter 6. Problems to solve on your own202
Appendix A. Basic concepts of tensor calculus224
Appendix B. Physical components of the first order tensor (vector)232
References234

Introduction

Iwillwriteaboutsomeone,whomyoumaynotknow,butwho

isabsolutelynoteworthy.Itisamathematician,HermannGünter

Grassman,borninSzczecinon15April1809(onthebirthdayof

theSwissmathematicianLeonhardEuler,asnotedbyGerman

historians).Grassmannﬁrstattendedaprivateschoolandthen

theintegratedRoyalandMunicipalGymnasiuminSzczecin

(atpresent:Liceumno.IX),inwhichhisfather,JustusGünter

(1779-1852),taughtmathematics,physicsanddrawing.In1827,

hecompletedaninterestingpaperonnumbertheory.Healso

wroteseveralpapersongeometry,whichwerelaterusedby

physicistsandastronomersintheconstructionoftheastronom-

icalandmeteorologicalclock.Hermann’smother,JohanneLuise

FriederikeMadewald,wasthedaughterofapastor.

Hermannwasthethirdchild,afterwhichtheGrassmannshad

anotherﬁvegirlsandfourboys.HisbrothersincludedGustaw,

RobertandJustus,withwhomHermannwouldworkintheﬁelds

oflinguistics,physics,mathematicsandphilosophy.Inﬂuenced

bypastorZybbel,hedecidedtocommittotheologyandbecome

apastor.Atschool,hewouldnotshowaparticularinterestin

speciﬁcsubjects,hemainlylearnedplayingthepianoandthe

basicsofmusic.Hepassedhissecondaryschoolgraduationexam

on17September1827andon15October1827,onhisgraduation

day,hedeliveredalectureinLatin,Ontheimpactofthereign

ofAugustusonRomanliterature.Heachievedthesecondplace

intheschool’soverallranking.HewasgradedGoodinmathe-

matics.Thisshowsthathistalentandaptitudeinmathematics

hadnotawokenduringhissecondaryschoolperiod.

Afterhissecondaryschoolgraduationexam,heandhisolder

brotherGustawstartedtheirstudiesintheologyattheUniversity

inBerlin.Athome,hestudiedclassicalGreekauthors.Heattend-

edlecturesbydiferenttheologiansandparticularlyappreciated

NeanderandSchleismacher.HereadtheworksofPlato.In1829,

hetravelledtoVienna,Tirol,MunichandSwitzerland,tothe

Alps.Duringhisstudiesandlateron,whilestudyingtheworks

ofhisfather,heidentiﬁedtheneedforathoroughhealingand

puriﬁcationofthemathematicallanguage.

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Vector and tensor calculus for engineers

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