topics on calculus


This entry is an overview of many calculus related entries which can be found here, at PlanetMath.org. By calculus we real analysis at the high-school level or college level, and the entries in this page should be at either level. If an entry is written at a higher level, it will be indicated with a “GL” tag.

1 Expositions

The following are books or notes on calculus:

  • http://planetmath.org/?op=getobj&from=lec&id=36An Introduction to Calculus.

2 : The real line

Basic properties of the real numbers:

  • Decimal expansion

  • Positive

  • Inverse number, Opposite number

  • (GL) http://planetmath.org/node/RealNumberReal number

3 Functions of one real variable

4 Computing limits

5 Continuity

6 Differentiation in one variable

7 Integration of functions of one real variable

8 Definite integral

9 Integral Transforms

10 Multivariable Calculus

10.1 Differentiation

10.2 Integration

  • Stokes’ theorem

11 Differential Equations

12 Infinite Series

12.1 Series of Numbers

12.2 Function Sequences and Series

12.3 Power Series and Taylor Series

13 Additional Topic

  • Non-Newtonian calculus

Title topics on calculus
Canonical name TopicsOnCalculus
Date of creation 2013-03-22 15:39:33
Last modified on 2013-03-22 15:39:33
Owner alozano (2414)
Last modified by alozano (2414)
Numerical id 65
Author alozano (2414)
Entry type Topic
Classification msc 97A80
Related topic CommonFormulasInCalculusOfDifferentialForms
Related topic NumerableSet
Related topic NonNewtonianCalculus2
Defines Calculus