Mathematics

The author solves 27 out of 105 Smarandache problems, most of them dealing with Smarandache sequences and functions.

A set of exercises and problems for a (more or less) standard beginning calculus sequence

This book takes a cyber-physical approach to introduce the engineering concepts underlying embedded systems. The focus is on modeling, design, and analysis of cyber-physical systems, which integrate computation, networking, and physical processes.

Stochastic games provide a versatile model for reactive systems that are affected by random events. This dissertation advances the algorithmic theory of stochastic games to incorporate multiple players, whose objectives are not necessarily conflicting.

This is a set of lecture notes for Math 485–Penn State’s undergraduate Graph Theory course. Readers should have taken a course in combinatorial proof and ideally matrix algebra.

This textbook helps students make the transition from being a user of mathematics to someone who can critically read and evaluate mathematical statements and being able to write mathematical explanations in clear, logically precise language.

This textbook covers the fundamental enumeration techniques (permutations, combinations, subsets, pigeon hole principle), recursion and mathematical induction, more advanced enumeration techniques, discrete structures, and discrete optimization.

Elementary Algebra is designed to meet the scope and sequence requirements of a one-semester elementary algebra course.

Lecture notes for a first course in differential equations, taught at the Hong Kong University of Science and Technology. Included in these notes are links to short tutorial videos posted on YouTube.

An introductory textbook, dedicated to a higher level of understanding of the concepts and practical applications of statistics. A solid grasp of concepts and structures in calculus and algebra is required.

This book is an exploration of the wide world of mathematics, with interesting applications to everyday life. It highlights algorithmic, graphical, algebraic, statistical, and analytic approaches to solving problems.

This tutorial covers the basic mathematical tools used in economic theory. Knowledge of elementary calculus is assumed.