by Qun Lin (Chinese Academy of Sciences, China)

Table of Contents (99k)
Preface (113k)
Chapter 0: Calculus in Terms of Images: Hill-Climbing (136k)

Conventional calculus is too hard and too complex. Students are forced to learn too many theorems and proofs. In Free Calculus, the author suggests a direct approach to the two fundamental concepts of calculus — differentiation and integration — using two inequalities. Regular calculus is condensed into a single concise chapter. This makes the teaching of physics in step with the calculus teaching.

• Calculus in Terms of Images
• Official Calculus
• Differential Equations of First Order
• Differential Equations of Second Order
• Free Calculus
• Appendix:
  • Calculus of Functional Analysis Becomes Elementary Algebra