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An Introduction to Orthogonal Polynomials
Assuming no further prerequisites than a first undergraduate course in real analysis, this concise introduction covers general elementary theory related to orthogonal polynomials. It includes necessary background material of the type not usually found in the standard mathematics curriculum. Suitable for advanced undergraduate and graduate courses, it is also appropriate for independent study. Topics include the representation theorem and distribution functions, continued fractions and chain sequences, the recurrence formula and properties of orthogonal polynomials, special functions, and some specific systems of orthogonal polynomials. Numerous examples and exercises, an extensive bibliography, and a table of recurrence formulas supplement the text.
An Introduction to the Theory of Elasticity
Accessible text covers deformation and stress, derivation of equations of finite elasticity, and formulation of infinitesimal elasticity with application to two- and three-dimensional static problems and elastic waves. 1980 edition.
A Brief Introduction to Theta Functions
Originally published: New York: Rinehart and Winston, 1961.
Modern Methods in Topological Vector Spaces
Geared toward beginning graduate students of mathematics, this text covers Banach space, open mapping and closed graph theorems, local convexity, duality, equicontinuity, operators, inductive limits, and compactness and barrelled spaces. 1978 edition.
Fundamentals of Hydro- and Aeromechanics
Prandtl''s pioneering experiments laid the basis for the use of theoretical hydromechanics and hydrodynamics in practical engineering problems. This volume presents Tietjens'' famous expansion of Prandtl''s lectures: statics and kinematics of liquids and gases, dynamics of non-viscous liquids. Proofs use vector analysis.
Strength of Materials
In addition to coverage of customary elementary subjects (tension, torsion, bending, etc.), this introductory text features advanced material on engineering methods and applications, plus 350 problems and answers. 1949 edition.
Analytical Mechanics of Gears
This volume provides a solid foundation for logical gear design practices and data. Topics include an analysis of conjugate gear-tooth action, nature of the contact, and resulting gear-tooth profiles of several types of gears, plus gear teeth in action. Indispensable guide for engineers concerned with tooth geometry, manufacturing accuracies, and general design. 1949 edition.
Atomic Physics: 8th Edition
Nobel Laureate's lucid treatment of kinetic theory of gases, elementary particles, nuclear atom, wave-corpuscles, atomic structure and spectral lines, much more. Over 40 appendices, bibliography.
The Real Number System
Concise but thorough and systematic, this categorical discussion presents a series of step-by-step axioms. The highly accessible text includes numerous examples and more than 300 exercises, all with answers. 1962 edition.
Mathematical Methods in the Theory of Queuing
Written by a prominent Russian mathematician, this concise monograph examines aspects of queuing theory as an application of probability. Prerequisites include a familiarity with the theory of probability and mathematical analysis. 1960 edition.
