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Advanced Calculus
Starting with an abstract treatment of vector spaces and linear transforms, this introduction presents a corresponding theory of integration and concludes with applications to analytic functions of complex variables. 1959 edition.
A Bridge to Advanced Mathematics
This helpful "bridge" book offers students the foundations they need to understand advanced mathematics. The two-part treatment provides basic tools and covers sets, relations, functions, mathematical proofs and reasoning, more. 1975 edition.
Flight Mechanics
Classic text analyzes trajectories of aircraft, missiles, satellites, and spaceships in terms of gravitational forces, aerodynamic forces, and thrust. Topics include general principles of kinematics, dynamics, aerodynamics, propulsion; quasi-steady and non-steady flight; and applications. 1962 edition.
Sociodynamics
"Highly recommended. . . . This is an important book in putting the burgeoning field of sociodynamics on a solid footing."—Journal of Artificial Societies and Social Simulation This text deals with general modelling concepts in the social sciences, their applications, and their mathematical methods. The author's well-organized approach offers a clear, coherent introduction to terminology, approaches, and goals in modelling. Appropriate for advanced undergraduates and graduate students, it requires a solid background in algebra and calculus. The three-part treatment begins by addressing general modelling concepts, the second part provides applications, and the third discusses mathematical method. Topics include population dynamics, group interaction, political transitions, evolutionary economics, and urbanization. Guiding students through a series of practical applications that illustrate the methods' potential scope, the text concludes with a detailed look at mathematical methods.
Introduction to Non-Euclidean Geometry
College-level text for elementary courses covers the fifth postulate, hyperbolic plane geometry and trigonometry, and elliptic plane geometry and trigonometry. Appendixes offer background on Euclidean geometry. Numerous exercises. 1945 edition.
Mathematical Foundations for Design
Text develops typical mathematical techniques of operations research and systems engineering and applies them to design and operation of civil engineering systems. Solutions to selected problems; solution guide available upon request. 1972 edition.
Modern Mathematics for the Engineer: First Series
This volume and its successor were conceived to advance the level of mathematical sophistication in the engineering community, focusing on material relevant to solving the kinds of problems regularly confronted. Volume One's three-part treatment covers mathematical models, probabilistic problems, and computational considerations. Contributors include Solomon Lefschetz, Richard Courant, and Norbert Wiener. 1956 edition.
Musical Structure and Design
Clear, elementary explanation of basic forms, Renaissance to 1900, with many works analyzed. Nature and function of concerto, sonata, etc., clarified with nonmusical analogies; illustrated in detailed analysis of specific piece of music.
Complex Variables for Scientists and Engineers
Outstanding undergraduate text provides a thorough understanding of fundamentals and creates the basis for higher-level courses. Numerous examples and extensive exercise sections of varying difficulty, plus answers to selected exercises. 1990 edition.
Structural Members and Frames
Geared toward graduate students and professionals in structural engineering, this text presents a detailed treatment of the elastic and inelastic behavior of metal beams, columns, beam-columns, and rigid frames. All four topics receive separate chapters, in which the background for their general behavior is discussed in terms of specific structural tests. The chapters also examine theoretical elastic behavior and the termination of usefulness by elastic buckling, behavior in the inelastic region, and the uses of various conceptual models in predicting inelastic instability. The final section of each chapter covers procedures and provides interpretations of structural specifications. Two additional chapters offer an introduction to the text and derive the differential equations governing the elastic deformations of prismatic thin-walled open members. Numerous examples throughout the treatment illustrate theory and applications.
