Discrete Mathematics for Beginners
Discrete Mathematics for Beginners addresses fundamental concepts essential for novices enrolled in a discrete mathematics course. Beginning with Set Theory, the book explains the fundamentals of sets, their operations, laws, and real-world applications. It then delves into counting principles, offering discussions on permutations, combinations, and the Binomial Theorem. It continues with Functions and Relations, focusing on understanding Cartesian products, relation properties, and functions. The chapter on Directed Graphs presents fundamental concepts and properties related to graphs and paths, trees, Eulerian and Hamiltonian paths, and circuits. Next, the chapter on logic discusses logical statements, truth tables, laws of logic, the construction of sound arguments, and rules of inference. Finally, Basic Number Theory is illustrated through sequences and summations, mathematical induction, and recursive definitions. With succinct summaries and revision exercises, the book is a comprehensive companion in equipping the readers with the skills needed to master key topics in discrete mathematics.
Instructor Biography
Liew Chin Ying obtained her B.Sc.Comp.Edu. (Hons) (Mathematics) and M.Edu. (Mathematics) from Universiti Teknologi Malaysia, and PhD (Computational Science) from Universiti Malaysia Sarawak. She has been an educator since 1999 and is currently a senior lecturer in the Department of Mathematical Sciences, Universiti Teknologi MARA Sarawak Branch. Apart from teaching mathematics courses, she is also an active researcher and author in the fields of computational science and mathematics instruction. She also conducts mathematics workshops for students ranging from primary to tertiary levels.
Ling Siew Ching is a senior lecturer at University Teknologi MARA UITM, Sarawak Branch. She holds a B.Sc. (Hons) in Mathematics and a M.Sc. in Mathematics from Universiti Kebangsaan Malaysia. She has made significant contributions to education with 12 years of teaching experience in schools and 16 years in tertiary education. Her involvement in education extends to authoring books, including several series for school students since 1994 and several Mathematics books tailored for tertiary education since 2010.
Voon Li Li is a senior lecturer at University Teknologi MARA UITM, Sarawak Branch with more than 17 years of mathematics teaching experience. She obtained her B.Sc. with Honours in Mathematics and M.Sc. (Mathematics) from Universiti Sains Malaysia. She had co-authored books on analytical calculus and introduction to linear algebra.
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