Comprehensive graduate-level reference on directed graphs (digraphs), unifying theoretical foundations, efficient algorithms, and real-world applications in networks, scheduling, and bioinformatics.
The Moment of Proof explores the pivotal and often illuminating moments in mathematical discovery when insight suddenly clarifies complex problems or ideas. This book presents a collection of mathematical proofs, stories, and epiphanies that showcase the beauty and elegance of mathematical thinking. It aims to inspire readers by revealing how mathematicians approach problems, make connections, …
A concise and accessible introduction to statistics designed for beginners, covering core topics such as descriptive statistics, probability, distributions, confidence intervals, and hypothesis testing—reinforced with real-world examples and data interpretation.
This textbook provides a clear and comprehensive introduction to the fundamental principles and techniques of combinatorics. Topics include permutations, combinations, the pigeonhole principle, inclusion-exclusion, recurrence relations, generating functions, and combinatorial designs. With its logical structure and numerous examples, the book is ideal for undergraduate mathematics and computer …
This volume presents the general theory of generalized functions, including the Fourier, Laplace, Mellin, Hilbert, Cauchy-Bochner and Poisson integral transforms and operational calculus, with the traditional material augmented by the theory of Fourier series, abelian theorems, and boundary values of helomorphic functions for one and several variables. The author addresses several facets in dep…
This work is a companion to Simulating Fuzzy Systems (2005), which focused on discrete-event systems, extending those principles to the continuous domain. It targets researchers and advanced practitioners in fuzzy systems, computational intelligence, control theory, and applied mathematics, offering both theoretical exposition and practical simulation strategies with fuzzy uncertainty analysis .