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Reviews:
o The Man Who Loved Only Numbers
o Mechanical Engineers’ Handbook, Second Edition
o Weak Convergence of Probability Measures
o The Fabric of Reality
o Biographies of Four Mathematicians:
Hadamard, von Neumann,
Ramanujan and Smale
o Analytical Mechanics, by J.S. Török
o At Home in the Universe:
The Search for the Laws of
SelfOrganization and Complexity
The books listed here are believed to be some of the finest available on their
respective subjects and therefore a musthave for anyone seriously interested in the
subject matter. Let us know if you have any comments, suggestions and/or additions.
 Kaufman, Stuart; At Home in the Universe : The Search for Laws of
SelfOrganization and Complexity
 Mandelbrot, Benoit B. Fractal Geometry of Nature
 HeinzOtto, Peitgen, Dietmar Saupe, H. Jurgens, Chaos and Fractals : New
Frontiers of Science
 Goldstine, Classical Physics
 L.A. Pars, A Treatise on Analytical Dynamics, Heinemann,
London, 1965.
 V.I. Arnold, V.V. Koslov and A.I. Neishtadt, in: Encyclopedia
of Mathematical Sciences, Dynamical Systems III,
Mathematical Aspects of Classical and Celestial Mechanics
(SpringerVerlag, Berlin, 1988).
 Meirovitch, L., Methods of Analytical Dynamics, McGrawHill,
New York, 1970.
 Bryson, A. E. and Ho, Y.C., Applied Optimal Control,
Hemispheric Publications, New York, 1975.
 Junkins, J. L. and Kim, Y., Introduction to Dynamics and
Control of Flexible Structures. AIAA Education Series,
Washington D.C., 1993.
 Stephen H. Crandall, Dean C. Karnopp, Edward F.Kurtz, Jr.,
David C. PridmoreBrown, Dynamics of Mechanical and
Electromechanical Systems, Krieger Publishing Co., 1982.
 JerNan Juang, Applied System Identification, Prentice Hall,
1994.
 W. T. Thompson, Theory of Vibration with Applications,
Prentice Hall, 1981.
 Meirovitch, L., Dynamics and Control of Structures, Wiley
Interscience, New York, 1990.
 Meirovitch, L., Principles and Techniques of Vibrations,
Prentice Hall Engineering/Science/Mathematics,1996.
 Benaroya, H., Mechanical Vibration: Analysis, Uncertainties,
and Control, Prentice Hall Engineering/Science/Mathematics,
1997.
 Meirovitch, L., Analytical Methods in Vibrations, Macmillan,
New York, New York, 1967.
 Nayfeh, A. H., Mook, D. T., Nonlinear Oscillations, Wiley
Interscience, 1979.
 Likins, P. W., Elements of Engineering Mechanics, McGraw
Hill, 1973.
 Whittaker, E. T., Analytical Dynamics of Particle and Rigid
Bodies, Cambrdge University Press, reprinted in 1965.
 S.P. Timoshenko and J.N. Goodier, Theory of Elasticity, 3^{rd} edition,
McGrawHill, 1970. Originally published in 1934. The earliest modern work in this
fundamental subject. Applications oriented.
 S.P. Timoshenko and S. WoinowskyKrieger, Theory of Plates and Shells, 2^{nd}
edition, McGrawHill, 1968. Originally published in 1940. The earliest modern work in
this area of structural mechanics. Applications oriented, and a subject upon which much of
structural analysis is based.
 S.P. Timoshenko and J.M. Gere, Theory of Elastic Stability, 2^{nd}
edition, McGrawHill, 1961. Originally published in 1936. The earliest modern work in
this fundamental subject. Applications oriented.
 I.S. Sokolnikoff, Mathematical Theory of Elasticity, 2^{nd} edition,
McGrawHill, 1956. Originally published in 1946. An excellent and complete theoretical
introduction to the subject. Provides an excellent grounding in all the aspects of the
subject.
 S.P. Timoshenko, Strength of Materials, Part I: Elementary Theory and Problems,
3^{rd} edition, Krieger, 1976, and Part II: Advanced Theory and Problems, 3^{rd}
edition, Krieger, 1976. Both originally published in 1930 by Litton Educational
Publishers. One of the earliest introductions to the subject.
 S.P. Timoshenko, History of Strength of Materials, Dover, 1983. Originally
published by McGrawHill in 1953. A joy to read for those who have an interest in the
origins of this subject. Discussion goes well beyond the confines of the title. Should be
required reading for students.
 C. Lanczos, The Variational Principles of Mechanics, Dover, New York, 1986One
of the most readable introduction to variational principles and variational mechanics.
First edition 1949. Fourth edition 1970. Written in a style that is rare today; it was
written as literature.
 P.M. Morse and K. U. Ingard, Theoretical Acoustics, Princeton University Press,
Princeton, 1968. A very thorough introduction to the subject. It contains many
applications and examples. May be considered a descendent of Rayleigh’s Theory of
Sound.
 F.B. Hildebrand, Methods of Applied Mathematics, Second Edition, PrenticeHall,
Englewood Cliffs, 1965, also now available as a Dover Publication. The best
introductions to: matrix theory, variational principles, and integral equations. Very
clear exposition.
 J.J. Stoker, Nonlinear Vibrations in Mechanical and Electrical Systems, Wiley
Classics, New York, 1992. Original edition from 1950. A very clear introduction to
nonlinear oscillations and nonlinear differential equations with a physical basis.
 J.J. Stoker, Water Waves, Wiley Classics, New York, 1992. Original edition
from 1958. An extensive mathematical treatment of ocean waves.
 G.H. Heiken, D.T. Vaniman, and B.M. French, Lunar Sourcebook, Cambridge
University Press, Cambridge, 1991. The best single reference for physical information
about the Moon.
 A. Papoulis, Probability, Random Variables and Stochastic Processes, McGrawHill,
New York, first edition, 1965. An exceptionally detailed introduction to the subject.
There are three editions, the first is the best and most approachable.
 G. Nicolis and I. Prigogine, Exploring Complexity, W.H. Freeman & Co., New
York, 1989. A fascinating and multidisciplinary exposition (nonmathematical) to the
subject of complexity.
 B. Kinsman, Wind Waves, Dover Publications, New York, 1984. Originally
published in 1967. The book on windgenerated ocean waves. Physical oceanography at its
best. Written by a master. The footnotes are the greatest!
 Y.K. Lin, Probabilistic Theory of Structural Dynamics, Krieger, Malabar, Florida,
1976. Originally published by McGrawHill in 1967. The most comprehensive introduction
to the subject. It set the standards and was the book that introduced the current
generation to the field.
 R. Courant and D. Hilbert, Methods of Mathematical Physics, Interscience, New
York, Vol. 1, 1953, Vol. 2, 1962. These Englishlanguage translations of the original
German editions are exhaustive and thorough introductions to applied mathematics. From a
historical perspective, it is interesting to see how modern engineering has adopted the
powerful mathematical tools of physics over the past half century.
 R. P. Feynman, R.B. Leighton, M.L. Sands, The Feynman Lectures on Physics, 3
vol., Addison Wesley Longman, Inc. Sixth Printing, November 1977. This multivolume
work was published in 1963 and contains 52 chapters in all areas of physics. Worth taking
a summer off and reading from cover to cover.
 N. Minorsky, Nonlinear Oscillations, Krieger, Malabar, Florida, 1974. Originally
published 1962 by Van Nostrand. Provides a thorough introduction to nonlinear
oscillations. Detailed and clear exposition.
