Machine Learning Algorithms for Problem Solving in Computational Applications

This book is ideal for a first or second year discrete mathematics course for mathematics, engineering, and computer science majors. The author has extensively class-tested early conceptions of the book over the years and supplements mathematical arguments with informal discussions to aid readers in understanding the presented topics. "Safe" - that is, paradox-free - informal set theory is introduced following on the heels of Russell's Paradox as well as the topics of finite, countable, and uncountable sets with an exposition and use of Cantor's diagonalisation technique. Predicate logic "for the user" is introduced along with axioms and rules and extensive examples. Partial orders and the minimal condition are studied in detail with the latter shown to be equivalent to the induction principle. Mathematical induction is illustrated with several examples and is followed by a thorough exposition of inductive definitions of functions and sets. Techniques for solving recurrence relations i

Practicing evidence-based medicine is widely regarded both as best clinical practice, and as the cornerstone of meeting the ACGME competencies in Practice-Based Learning and Improvement. Training programs recognize the need to teach the skills of EBM and yet struggle with readily available content and guidance on putting together a curriculum. Time frames for delivering curricula in residency can be very tight, often restricted to scattered one hour conferences. This book provides a modular curriculum structure for instructors, with each topic area taking up one section, or one hour of instructional time.Developed over the past 14 years as an introductory course for interns in the internal medicine residency program at Duke, the curriculum will cover core content areas in evidence-based medicine and best teaching practices for them and skills such as literature searching and applying evidence to patients. Most importantly, it will center on actual patient questions and use current lite