In this book, we have introduced the concept of `textit{exponential algebra}' (in short textit) by defining an internal multiplication on an evs over some field $ K $. We have explained that the concept of exponential algebra can be thought of as a generalisation of `algebra' in the sense that every exponential algebra contains an algebra; conversely, any algebra can be embedded into an exponential algebra. We develop a quotient structure on an ealg $X$ over some field $K$ by using the concept of congruence and topologise it. We introduce the concept of emph, emph and...