Concise Introduction to Logic and Set Theory

This book deals with two important branches of mathematics, namely, logic and set theory. Logic and set theory are closely related and play very crucial roles in the foundation of mathematics, and together produce several results in all of mathematics. The topics of logic and set theory are required in many areas of physical sciences, engineering, and technology. The book offers solved examples and exercises, and provides reasonable details to each topic discussed, for easy understanding. The book is designed for readers from various disciplines where mathematical logic and set theory play a crucial role. The book will be of interested to students and instructors in engineering, mathematics, computer science, and technology.

Preface About Authors 1. Mathematical Logic 2. Set Theory 3. Relations 4. Functions 5. Cardinality of Sets Bibliography Index

Iqbal H. Jebril is Professor in the Department of Mathematics at Al-Zaytoonah University of Jordan, Amman, Jordan. He obtained his PhD from National University of Malaysia (UKM), Malaysia. His fields of research interest include Functional Analysis, Operator Theory and Fuzzy Logic. He has to his credit several prestigious Journal and Conference publications. He is also serving for several journals and conferences in different capacities. Hemen Dutta obtained his M.Phil and Ph.D. both in Mathematics and also completed Post Graduate Diploma in Computer Application from Gauhati University, India. He is a regular teaching faculty member in the Department of Mathematics at Gauhati University, India. His current research interests include topics in nonlinear analysis and mathematical modelling. He is currently a regular and guest-editor of several SCI/SCIE indexed journals. He has also published several thematic issues in leading journals and books with reputed publishers. Ilwoo Cho obtained his Ph.D. from University of Iowa, Department of Mathematics, USA. His major fields of research are Free Probability, Operator Theory, Operator Algebra, and Dynamical Systems. He is Full Professor of Saint Ambrose University, Department of Mathematics & Statistics, USA. He is also an Assistant Editor of Complex Analysis & Operator Theory and Mathematics Reviewer of American Mathematical Society.