# The Library

#### Reviews:

The Man Who Loved Only Numbers

Mechanical Engineers’ Handbook, Second Edition

Weak Convergence of Probability Measures

Biographies of Four Mathematicians: Hadamard, von Neumann, and Smale

Analytical Mechanics, by J.S. Török

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.

**(1) Kaufman, Stuart; *** At Home in the Universe : The Search for Laws of Self-Organization and Complexity*

**(2) Mandelbrot, Benoit B. ***Fractal Geometry of Nature*

**(3) Heinz-Otto, Peitgen, Dietmar Saupe, H. Jurgens, ***Chaos and Fractals : New Frontiers of Science*

**(4) Goldstine, ***Classical Physics*

**(5) L.A. Pars, **__ A Treatise on Analytical Dynamics,__Heinemann, London, 1965.

**(6) 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).

**(7) Meirovitch, L., **__ Methods of Analytical Dynamics,__ McGraw-Hill, York, 1970.

**(8) Bryson, A. E. and Ho, Y.C., **__ Applied Optimal Control,__ Hemispheric Publications, New York, 1975.

**(9) Junkins, J. L. and Kim, Y., **__ Introduction to Dynamics and
Control of Flexible Structures.__ AIAA Education Series, Washington D.C., 1993.

**(10) Stephen H. Crandall, Dean C. Karnopp, Edward F.Kurtz, Jr.,
David C. Pridmore-Brown, **__ Dynamics of Mechanical and Electromechanical Systems,__ Krieger Publishing Co., 1982.

**(11) Jer-Nan Juang, **__ Applied System Identification, __Prentice Hall, 1994.

**(12) W. T. Thompson, **__ Theory of Vibration with Applications,__ Prentice Hall, 1981.

**(13) Meirovitch, L., **__ Dynamics and Control of Structures, __ Wiley Interscience, New York, 1990.

**(14) Meirovitch, L., **__ Principles and Techniques of Vibrations,__ Prentice Hall Engineering/Science/Mathematics,1996.

**(15) Benaroya, H., **__ Mechanical Vibration: Analysis, Uncertainties, and Control, __ Prentice Hall Engineering/Science/Mathematics, 1997.

**(16) Meirovitch, L., **__ Analytical Methods in Vibrations,__ Macmillan, New York, New York, 1967.

**(17) Nayfeh, A. H., Mook, D. T., **__ Nonlinear Oscillations, __ Wiley-Interscience, 1979.

**(18) Likins, P. W., **__ Elements of Engineering Mechanics,__ McGraw Hill, 1973.

**(19) Whittaker, E. T., **__ Analytical Dynamics of Particle and Rigid Bodies,__ Cambrdge University Press, reprinted in 1965.

**(20) 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.*

**(21) 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.*

**(22) 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.*

**(23) 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 subject.*

**(24) S.P. Timoshenko, **__ Strength of Materials, Part I: Elementary Theory and Problems, ^{3nd}__ edition, Krieger, 1976, and

__edition, Krieger, 1976. Both originally published in 1930 by Litton Educational Publishers.__

*Part II: Advanced Theory and Problems,*^{3nd}*One of the earliest introductions to the subject.*

**(25) 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.*

**(26) C. Lanczos, **__ The Variational Principles of Mechanics, __ Dover, New York, 1986

*One 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.*

**(27) 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.*

**(28) 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 clear exposition.*

**(29) 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.*

**(30) J.J. Stoker, **__ Water Waves,__ Wiley Classics, New York, 1992.

*Original edition from 1958. An extensive mathematical treatment of ocean waves.*

**(31) 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.*

**(32) 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.*

**(33) 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.*

**(34) 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!*

**(35) 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.*

**(36) 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.*

**(37) 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.*

**(38) 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.*