Mathematical induction is a method of proofs that has been known to mathematicians for hundreds of years, with one of the earliest proofs dating back to Francesco Maurolico (1575). During the 19th-century it was formalized as an axiom of nonnegative integers due to the work of P…
"The main areas covered are: telescoping sums and products in algebra and trigonometry, the use of complex numbers and de Moivre's Formula, Abel's summation formula, mathematical induction, combinatorial identities, multiplicative functions and the use of Mobius function. The th…
"This book takes familiar ideas and extends them to a rich variety of problems. The intended audience is the ambitious high school or college student. The topics covered span algebra, geometry, number theory, and even a few elements of mathematical analysis. Each chapter explore…
