Klappenecker, Andreas author creator Lee, Hyunyoung author. text bibliography sz 2025 Custom edition for George Mason University. monographic eng

print

xv, 423 pages : illustrations ; 24 cm. The aim of this text is to introduce discrete mathematics to beginning students of mathematics or computer science. It does this by bringing some coherency into the seemingly incongruent subjects that compose discrete math, such as logic, set theory, algebra, and combinatorics. It emphasizes their theoretical foundations and illustrates proofs along the way. The book prepares readers for the analysis of algorithms by discussing asymptotic analysis and a discrete calculus for sums. The book also deduces combinatorial methods from the foundations that are laid out. Unlike other texts on this subject, there is a greater emphasis on foundational material that leads to a better understanding. To further assist the reader in grasping and practicing concepts, roughly 690 exercises are provided at various levels of difficulty. Readers are encouraged to study the examples in the text and solve as many of the exercises as possible. The text is intended for freshman or sophomore undergraduate students in mathematics, computer science, or similar majors. The assumed background is precalculus. The chapter dependency chart included is designed to help students, independent readers, and instructors follow a systematic path for learning and teaching the material, with the option to explore material in later chapters. I. Discrete structures -- Introduction -- Mathematical arguments -- Sets -- Proofs by induction -- Equivalence relations -- Partials orders and lattices -- Floor and ceiling functions -- Number theory -- II. Summation and Asymptotics -- Sums -- Asymptotic analysis -- III. Combinatorics -- Counting -- Generating functions -- Recurrence relations -- Graphs -- Probability theory. Andreas Klappenecker and Hyunyoung Lee. Includes bibliographical references and index. English. Logic Textbooks QA297.4 511.1 K663d 9783031734335 2016427777 DLC 260926 20260926104722.0 19240562 eng