Bibliography
Sources and further reading.
Standard references for the mathematical and physical material in Math Foundations. Entries are listed chronologically.
- (1747). Recherches sur la courbe que forme une corde tendue mise en vibration. Hist. Acad. Royale Sci. Belles-Lettres Berlin 3: 214–219.
First published the general solution f(x − ct) + g(x + ct) of the 1-D wave equation.
#dalembert-1747 - (1755). Principes généraux du mouvement des fluides. Mémoires de l'académie des sciences de Berlin 11: 274–315.
First statement of the fluid equations of motion in their modern form — what we now call the Euler equations.
#euler-1755 - (1822). Théorie analytique de la chaleur. Firmin Didot, Paris.
Introduced the decomposition of arbitrary functions into trigonometric series, motivated by the heat equation. The mathematical foundation of frequency-domain analysis.
#fourier-1822 -
Available free online. The most physics-friendly introductory calculus text.
#strang-calc - (2006). Mathematical Methods for Physics and Engineering (3rd ed.). Cambridge University Press.
The standard British mathematical-methods reference. Covers everything in the Foundations book at greater depth.
#riley-hobson-bence - (2008). Calculus (4th ed.). Publish or Perish.
The rigorous-undergraduate calculus reference. Pace and exposition match the Foundations book's posture.
#spivak-calculus