Calculus BLUE Multivariable Vol 4: Fields

464 Pages·2018·241.816 MB·English

by  Robert Ghrist

bY
CALCULUS BLUE MULTIVARIABLE
VOLUME 4 : FIELDS
R G
OBERT HRIST
1st edition, kindle format
Copyright © 2018 Robert Ghrist
All rights reserved worldwide
Agenbyte Press, Jenkintown PA, USA
ISBN 978-1-944655-11-2
prologue chapter 10: gauss’s theorem
chapter 1: fields chapter 11: stokes’ theorem
chapter 2: path integrals chapter 12: which theorem when?
chapter 3: integrating 1-forms chapter 13: forms & fluid dynamics
chapter 4: independence of path chapter 14: forms & electromagnetics
chapter 5: work, circ, & flux chapter 15: forms & data
chapter 6: green’s theorem chapter 16: Differential forms in n-d
chapter 7: grad, div, & curl chapter 17: the calculus of forms
chapter 8: differential forms in 3-d chapter 18: stokes’ theorem, redux
chapter 9: integrating 2-forms epilogue: a vision
enjoy learning! use your full imagination & read joyfully…
this material may seem easy, but it’s not! it takes hard work to
learn mathematics well… work with a teacher, tutor, or friends
and discuss what you are learning.
this text is meant to teach you the big ideas and how they are
useful in modern applications; it’s not rigorous, and it’s not
comprehensive, but it should inspire you to do things with math…
exercises at chapter ends are for you to practice. don’t be too
discouraged if some are hard… keep working! keep learning!

when the stars threw
down their spears

it's time to reflect & reformulate

associate objects to locations in space