Focus on Calculus

"This book is devoted to some recent aspects of calculus.

The book contains seven chapters. Chapter 1 introduces the conception for conformable delta (Hilger) derivative and some of its properties.

Results in this chapter include basic conformable delta derivative, the conformable exponential function, conformable trigonometric and hyperbolic functions, conformable delta integral and integral rules and Taylor's formula.

They are considered first order conformable dynamic equations on time scales.

Chapter 2 is devoted to some classes second order quadratic difference equations.

They are given criteria for existence of a unique equilibrium point that is stable and unstable, existence of prime period-two solutions.

Chapter 3 is aimed to develop two calculi over the specific algebraic operations, preserving the preceding relativistic addition formula and having all ordinary properties.

Chapter 4 is devoted to principles of hypercomplex rand