Calculus literature

General advice

Freely available online sources

• math24.net - Very well organized, minimum theory maximum problems, ideal for practising problems.

• activecalculus.org

• betterexplained.com

Videos

• 3Blue1Brown’s - Essence of Calculus - Godlike animations and explanation. This was the beginning of something new and outstanding. Not a substitute for your regular classes, but nobody, and by nobody, I literally mean nobody can give you the visual insights like him.

• Khan academy

  • Khan academy - AP Calculus AB
  • Khan academy - AP Calculus BC

Books

• Calculus of one and more than one variables - Salas, Etgen, Hille (SEH)
  Honestly, my first proper university level calculus course was a coagulation of real analysis and calculus for physicists. Having done “calculus” in high school, I used this and only this book extensively cause, I never needed any other. It literally had every theorem, technique and derivation from the calculus for physicists part of the course. Tons of examples, diagrams, boxed results and intuitions. Really, never even touched another book.

• Calculus - Stewart
  Highly reccomended by colleagues. Never read, but skimmed over it, everything I saw looked neat and tidy

• Calculus - Spivak
  A book that I would have enjoyed like I did SEH. Pretty standard again, one place where it seemed to cast shadow on my beloved SEH book is readability.

Advanced reference books - Real analysis?

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