Bøger af Hiqmet Kamberaj

The textbook introduces propositional logic (Chapter 1). Chapter 2 discusses predicates and quantifiers. In Chapter 3, sets are presented. Then, Chapter 4 introduces the functions, and Chapter 5 describes the sequences and summations. In Chapter 6, the number theory and matrices are presented. Then, Chapter 7 introduces mathematical induction. Chapter 8 describes the recursive definitions and algorithms, and in Chapter 9, the relations are introduced. Finally, Chapter 10 introduces the graphs.The textbook is mainly aimed at engineering and computer science undergraduate first-year students as an introductory textbook.

This textbook focuses on designing algorithms, proving their correctness, and analyzing their efficiency. In particular, the emphasis is on analyzing the cost associated with different algorithms, studying the essential mathematical tools for analyzing algorithm cost, and exploring design heuristics and how subtle choices can affect time complexity. Some time is spent carefully analyzing algorithms using sorted schemes, probabilistic and statistical schemes, and graph algorithms.

Any curriculum involving science and/or engineering will eventually find itself entering the realm of physics. This book seeks to introduce students to a number of the fundamental concepts in physics and illustrate how different theories were developed out of physical observations and phenomena. The book presents multi-chapter sections on electrostatics, magnetism and electromagnetic waves, with eyes on both the past and the future, touching, along the way, on Coulomb, Gauss, Maxwell, Ohm, Biot-Savart, Ampere, Faraday, Fresnel and Lorentz. The book also contains an appendix that provides the reader with a portion of the mathematical background of vector analysis and vector differential operators. The book approaches its topics through a focus on examples and problem-solving techniques, illustrating vividly how physical theories are applied to problems in engineering and science. The book is primarily aimed at undergraduate students in these two fields, but it also featureschapters that are geared towards senior undergraduates working on their final year theses.