A.A.K. Majumdar
2013
In writing this book, the first problem I faced is to choose the contents of the book. Today the Smarandache Notions is so vast and diversified that it is indeed difficult to choose the materials. Then, I fixed on five topics, namely, Some Smarandache Sequences, Smarandache Determinant Sequences, the Smarandache Function and its generalizations, the Pseudo Smarandache Function and its generalizations, and Smarandache Number Related Triangles. Most of the results appeared before, but some results, particularyly in Chapter 5, are new. In writing this book, I took the freedom of including the more recent results, found by other researchers till 2009, to keep the expositions up to date. At the end of Chapter1, Chapter 3, Chapter4, and Chapter 5, some open problems are given in the form of conjectures and questions.
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