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This undergraduate textbook on the physics of wave motion in optics and acoustics avoids presenting the topic abstractly in order to emphasize real-world examples. While providing the needed scientific context, Dr. Espinoza also relies on students' own experience to guide their learning. The book's exercises and labs strongly emphasize this inquiry-based approach. A strength of inquiry-based courses is that the students maintain a higher level of engagement when they are studying a topic that they have an internal motivation to know, rather than solely following the directives of a professor. "Wave Motion" takes those threads of engagement and interest and weaves them into a coherent picture of wave phenomena. It demystifies key components of life around us--in music, in technology, and indeed in everything we perceive--even for those without a strong math background, who might otherwise have trouble approaching the subject matter.
An engineering-oriented introduction to wave propagation by an award-winning MIT professor, with highly accessible expositions and mathematical details—many classical but others not heretofore published. A wave is a traveling disturbance or oscillation—intentional or unintentional—that usually transfers energy without a net displacement of the medium in which the energy travels. Wave propagation is any of the means by which a wave travels. This book offers an engineering-oriented introduction to wave propagation that focuses on wave propagation in one-dimensional models that are anchored by the classical wave equation. The text is written in a style that is highly accessible to undergraduates, featuring extended and repetitive expositions and displaying and explaining mathematical and physical details—many classical but others not heretofore published. The formulations are devised to provide analytical foundations for studying more advanced topics of wave propagation. After a precalculus summary of rudimentary wave propagation and an introduction of the classical wave equation, the book presents solutions for the models of systems that are dimensionally infinite, semi-infinite, and finite. Chapters typically begin with a vignette based on some aspect of wave propagation, drawing on a diverse range of topics. The book provides more than two hundred end-of-chapter problems (supplying answers to most problems requiring a numerical result or brief analytical expression). Appendixes cover equations of motion for strings, rods, and circular shafts; shear beams; and electric transmission lines.
In this daring book, the author proposes that artistic and literary forms can be understood as modulations of wave forms in the physical world. By the phrase "natural syntax," he means that physical nature enters human communication literally by way of a transmitting wave frequency. This premise addresses a central question about symbolism in this century: How are our ideas symbolically related to physical reality? The author outlines a theory of communication in which nature is not reached by reference to an object; rather, nature is part of the message known only tacitly as the wavy carrier of a sign or signal. One doesn't refer to nature, even though one might be aiming to; one refers with nature as carrier vehicle. The author demonstrates that a natural language of transmission has an inherent physical syntax of patterned wave forms, which can also be described as certain "laws of form"—a phrase used by D'Arcy Thompson, L. L. Whyte, Noam Chomsky, and Stephen Jay Gould. He describes a syntax inherent in natural languages that derives from the rhythmic form of a propelling wave. Instead of the "laws" of a wave's form, however, the author speaks of its elements of rhythmic composition, because "rythmos" means "wave" in Greek and because "composition" describes the creative process across the arts. In pursuing a philosophy of rhythmic composition, the author draws on cognitive science and semiotics. But he chiefly employs symmetry theory to describe the forms of art, and especially the patterns of poetry, as structures built upon the natural syntax of wave forms. Natural syntax, it turns out, follows a fascinating group of symmetry transformations that derive from wave forms.
Cognitive Informatics, Computer Modelling, and Cognitive Science: Theory, Case Studies, and Applications presents the theoretical background and history of cognitive science to help readers understand its foundations, philosophical and psychological aspects, and applications in a wide range of engineering and computer science case studies. Cognitive science, a cognitive model of the brain, knowledge representation, and information processing in the human brain are discussed, as is the theory of consciousness, neuroscience, intelligence, decision-making, mind and behavior analysis, and the various ways cognitive computing is used for information manipulation, processing and decision-making. Mathematical and computational models, structures and processes of the human brain are also covered, along with advances in machine learning, artificial intelligence, cognitive knowledge base, deep learning, cognitive image processing and suitable data analytics. - Identifies how foundational theories and concepts in cognitive science are applicable in other fields - Includes a comprehensive review of cognitive science applications in multiple domains, applying it to neural engineering, robotics, computer science and STEM - Includes models of brain processing, consciousness, decision-making, and more - Provides in-depth technical coverage of cognitive informatics and computing, including coverage of cognitive knowledge base, information theory, cognitive machine learning and intelligence