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On Some of Smarandache's Problems

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

Stochastic Multiplayer Games: Theory and Algorithms

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.

Graph Theory: Penn State Math 485 Lecture Notes

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.

An Introduction to Proofs and the Mathematical Vernacular

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.

Applied Combinatorics
Applied Combinatorics Sented by Michael

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
Elementary Algebra Sented by Shon

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

Introduction to Differential Equations

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.

Math in Society, Edition 2.4
Math in Society, Edition 2.4 Sented by Michael

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.

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