Based on the lifetime work of leading teacher and researcher Jan Mikusinski, this classroom-tested book provides a thorough grounding in mathematical analysis, calculus and mathematical proofing. It introduces natural numbers through a new mathematical approach; replaces the Riemann integral with th[...]
Offering an overview of the basic ideas and results of Hilbert space theory and functional analysis, this book aims to acquaint students with the Lebesgue integral. It also includes a presentation of results and proofs. It features examples which apply to optimization, variational and control proble[...]