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
Self-Organization and Complexity
The books listed here are believed to be some of the finest available on their
respective subjects and therefore a must-have 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
Self-Organization and Complexity
- Mandelbrot, Benoit B. Fractal Geometry of Nature
- Heinz-Otto, Peitgen, Dietmar Saupe, H. Jurgens, Chaos and Fractals : New
Frontiers of Science
- Goldstine, Classical Physics
- L.A. Pars, A Treatise on Analytical Dynamics, Heinemann,
- 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
(Springer-Verlag, Berlin, 1988).
- Meirovitch, L., Methods of Analytical Dynamics, McGraw-Hill,
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. Pridmore-Brown, Dynamics of Mechanical and
Electromechanical Systems, Krieger Publishing Co., 1982.
- Jer-Nan Juang, Applied System Identification, Prentice Hall,
- 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,
- Meirovitch, L., Analytical Methods in Vibrations, Macmillan,
New York, New York, 1967.
- Nayfeh, A. H., Mook, D. T., Nonlinear Oscillations, Wiley-
- Likins, P. W., Elements of Engineering Mechanics, McGraw
- 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, 3rd edition,
McGraw-Hill, 1970. Originally published in 1934. The earliest modern work in this
fundamental subject. Applications oriented.
- S.P. Timoshenko and S. Woinowsky-Krieger, Theory of Plates and Shells, 2nd
edition, McGraw-Hill, 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, 2nd
edition, McGraw-Hill, 1961. Originally published in 1936. The earliest modern work in
this fundamental subject. Applications oriented.
- I.S. Sokolnikoff, Mathematical Theory of Elasticity, 2nd edition,
McGraw-Hill, 1956. Originally published in 1946. An excellent and complete theoretical
introduction to the subject. Provides an excellent grounding in all the aspects of the
- S.P. Timoshenko, Strength of Materials, Part I: Elementary Theory and Problems,
3rd edition, Krieger, 1976, and Part II: Advanced Theory and Problems, 3rd
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 McGraw-Hill 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 Rayleighs Theory of
- F.B. Hildebrand, Methods of Applied Mathematics, Second Edition, Prentice-Hall,
Englewood Cliffs, 1965, also now available as a Dover Publication. The best
introductions to: matrix theory, variational principles, and integral equations. Very
- 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, McGraw-Hill,
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 multi-disciplinary exposition (nonmathematical) to the
subject of complexity.
- B. Kinsman, Wind Waves, Dover Publications, New York, 1984. Originally
published in 1967. The book on wind-generated 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 McGraw-Hill 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 English-language 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 multi-volume
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.