Differential and Integral Calculus
"Differential and Integral Calculus, Volume 2" "Unlike modern mathematicians who pursue their research apart from engineering or physical applications, Richard Courant was adverse to abstract theories and vague theorems. The topics covered in this set will provide the reader with a solid background to understanding the mathematics of heat conduction, electricity and magnetism, fluid dynamics and elasticity." -Amazon Review This book includes not only calculational techniques, but also an introduction to real analysis, good mathematical reasoning, and proof techniques. Courant leads the way straight to useful knowledge, and aims at making the subject easier to grasp, not only by giving proofs step by step, but also by throwing light on the interconnexions and purposes of the whole.
Chapter II FUNCTIONS OF SEVERAL VARIABLES AND THEIR DERIVATIVES
Chapter III DEVELOPMENTS AND APPLICATIONS OF THE DIFFERENTIAL CALCULUS
Chapter IV MULTIPLE INTEGRALS
Chapter V INTEGRATION OVER REGIONS IN SEVERAL DIMENSIONS
Chapter VI DIFFERENTIAL EQUATIONS