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  A Primer On Number Sequences
 

A Primer On Number Sequences

by Na

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  This book offers an excursion into the world of number sequences, objects that occur widely all through Mathematics. Part I deals with the generating formula of a sequence, and Part II with individual sequences such as the squares, the cubes, the primes, the unit fractions, the Fibonacci numbers, and so on. The book is aimed at students and general readers. It will be particularly useful to students who wish to appear for the Mathematical Olympiads.* Contents Part A: The method of differences; Introduction; Terms and symbols; Polynomial sequences; The generating formula; Exponential sequences; Conclusion; Part B: A gallery of sequences; The sequence of squares; The sequence of cubes; A curious procedure; Powers of 2 and 3; The sequence of primes; Polygonal numbers; Egyptian fractions; Square roots; Fibonacci numbers; Appendix A: The method of induction; Appendix B: Solutions; Appendix C: List of References; Index. 172pp (2001) 158 × 240 mm ISBN 81 7371 369 3
 


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