What exactly is a differential? - Mathematics Stack Exchange The right question is not "What is a differential?" but "How do differentials behave?" Let me explain this by way of an analogy Suppose I teach you all the rules for adding and multiplying rational numbers Then you ask me "But what are the rational numbers?" The answer is: They are anything that obeys those rules Now in order for that to make sense, we have to know that there's at least
What is a differential form? - Mathematics Stack Exchange 70 can someone please informally (but intuitively) explain what "differential form" mean? I know that there is (of course) some formalism behind it - definition and possible operations with differential forms, but what is the motivation of introducing and using this object (differential form)?
Differential algebra and differential-algebraic equations A differential algebraic system of equations is a system of equations where some equations are algebraic equations and some are differential equations The equations need not be polynomial
How to define linear and non-linear differential equation I have a problem understanding how to define a linear or non-linear Differential equation These are my answers to the questions, however, my teacher's answers are not the same as mine Questions
Easy to read partial differential equations book? Partial Differential Equations: An Introduction by Walter Strauss An Introduction to Partial Differential Equations by Michael Renardy Partial Differential Equations by Fritz John Partial Differential Equations by Lawrence C Evans My background is having read A First Course in Differential Equations with Modelling Applications by Dennis Zill