Algebraic Analysis - Tapa dura

Sinopsis

There is, and in fact always has been, a substantial algebraic part to analysis. Algebraic structures carry enormous implications. Thus it makes eminent sense to explore to what extent algebraic thinking can help in structuring analysis and giving algebraic analysis it proper place as a foundation stone. In the author's words, algebraic analysis is the theory of right invertible operators in a linear space - think of indefinite integrals.

In the book there is presented a purely algebraic approach to Calculus and Differential and Difference Equations, by means of right invertible operators. To understand this book, it is enough to know the notions of convergence, continuity and differentiability on an elementary level. The proposed approach could be a game for mathematicians lecturing Calculus and Differential Equations for several years, as well as for students of Mathematics and Engineering.

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