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This textbook provides a modern introduction to wave theory and its applications to physical phenomena such as deep water waves, transmission lines, elasticity, and traffic flow. The author presents a broad coverage of the subject, including numerous exercises. Each of the main topics is described in detail with examples of their applications. These topics include the classical wave equation, dispersion, dissipation, interconnected waves, diffusive waves, and first and second order non-linear waves. The special attention paid to non-linear and elastic waves represents a major strength of the text, along with its inclusion of an entire chapter devoted to the use of characteristics and asymptotic expansions. Intended for advanced undergraduates, the book will also be of interest to instructors in mathematics, physics and engineering courses.
This text investigates the mathematical principles governing wave propagation and their practical applications across diverse physical systems. D. R. Bland, a recognized authority in applied mathematics, utilizes a structured pedagogical approach to bridge theoretical wave mechanics with real-world phenomena. The book provides a rigorous framework for analyzing wave behavior, ranging from classical linear equations to complex non-linear dynamics, supported by detailed derivations and illustrative examples.
What You Will Find
Experts and educators frequently cite this work as a foundational text for advanced undergraduate students in mathematics, physics, and engineering. Readers note the clarity of the mathematical exposition and the utility of the specific focus on non-linear and elastic wave phenomena.
Page Count:
328
Publication Date:
1988-11-03
Publisher:
Oxford University Press
ISBN-10:
0198596693
ISBN-13:
9780198596691
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