ABSTRACT

This work offers detailed coverage of every important aspect of symmetric structures in function of a single real variable, providing a historical perspective, proofs and useful methods for addressing problems. It provides assistance for real analysis problems involving symmetric derivatives, symmetric continuity and local symmetric structure of sets or functions.

chapter 1|22 pages

The Derivative

chapter 2|40 pages

Continuity

chapter 3|48 pages

Covering Theorems

chapter |72 pages

Even Properties

chapter 5|30 pages

Monotonicity

chapter 6|36 pages

Odd Properties

chapter 7|44 pages

The Symmetric Derivative

chapter 8|30 pages

Symmetric Variation

chapter 9|80 pages

Symmetric Integrals