Submarine Tactical Development: Historical PerspectiveThe Business of Applying Mathematics
Deterministic Optimal Control, Differential Games, and Calculus of Variations
History: Military Operations Analysis
Submarine Tactical Development: Historical Perspective
Mathematical Modeling
, E. A. Bender, John Wiley, 1978.An Introduction to Mathematical Modeling
Introduction to Operations Research, F. Hillier, G. Lieberman, Holden-Day, 1980. (especially Chapter 20)
Handbook of System Analysis, edited by H. J. Miser, E. S. Quade, North-Holland, 1985.
An Introduction to Applied Mathematics, G. Strang, Wellesley, 1985.
The Military Applications of Modeling, edited by J. A. Battilega, J. K. Grange, Air Force Institute of Technology, Government Printing Office, 1981.
Craft of Decision Modelling, P. Rivett, John Wiley, 1994.
Empirical Model Building, J. R. Thompson, John Wiley, 1989.
Management and Analysis of Service Operations, J. Browne, North Holland, 1984.
Alternate Realities: Mathematical Models of Nature and Man, J. L. Casti, John Wiley, 1989.
Mathematical and Computation Methods in Seismic Exploration and Reservoir Modeling, W. E. Fitzgibbon, SIAM, 1986.
Industrial Mathematics: A Course in Solving Real-world Problems, A. Friedman, W. Littman, SIAM, 1994.
Mathematical Modeling: Classroom Notes in Applied Mathematics, M. S. Klamkin, SIAM, 1987.
Applied Mathematics: An Introduction, H. Pollard, Addison-Wesley, 1972.
The Business of Applying Mathematics
"Mathematicians in Operations Research Consulting," D. H. Wagner, American Mathematical Monthly, 82(1975), pp 895-905.
"Mathematicians in the Practice of Operations Research," G. Raisbeck, American Mathematical Monthly, 83(1976), pp 681-701.
"Applied Mathematicians and Naval Operators," M. Mangel, Society for Industrial and Applied Mathematics (SIAM) Review, Volume 24, No. 3, July 1982, pp 289-300.
The Human Side of Statistical Consulting, J. Boen, D. Zahn, Wadsworth, 1982.
"Communications Between Statisticians and Engineers/Physical Scientists," A. Bruce Hoadley and J. R. Kettenring, Technometrics, Volume 32, No. 3, August 1990, pp 243-273.
Numerical Methods
, P. Gill, W. Murray, M. Wright, Academic Press, 1981.Practical Optimization
Numerical Methods, Software and Analysis, J. R. Rice, McGraw-Hill, 1983.
Numerical Recipes: The Art of Scientific Computing, W. Press, B. Flannery, S. Teukolsky, W. Vetterling, Cambridge, 1986.
Graphics Gems, A. S. Glassner, Academic Press, 1990.
Graphics Gems II, edited by J. Arvo, Academic Press, 1991.
Graphics Gems III, edited by D. Kirk, Academic Press, 1992.
Graphics Gems IV, edited by P. Heckbert, Academic Press, 1994.
Accuracy and Stability in Numerical Algorithms, N. J. Hingham, SIAM, 1996.
Optimization Algorithms for Networks and Graphs, E. Minieka, J. R. Evans, Marcel Dekker, 1992.
A Numerical Library in C for Scientists and Engineers, H. T. Lau, CRC Press, 1995.
Software Engineering
, (Anniversary Edition) F. P. Brooks, Addison-Wesley, 1995.The Mythical Man-Month
Fortran Optimization, M. Metcalf, Academic Press, 1985.
Software Tools, B. W. Kernighan, P. J. Plauger, Addison-Wesley, 1976.
The Elements of Friendly Software Design, P. Heckel, Warner Books, 1984.
Programming Pearls, J. Bentley, Addison-Wesley, 1986.
More Programming Pearls, J. Bentley, Addison-Wesley, 1988.
Human Factors and Typography for More Readable Programs, R. M. Baecker, A. Marcus, ACM Press, 1990.
A Guide to Designing Friendly User/Computer Interfaces, B. Stahl, Interface Design Group, 1986.
"Documenting a Computer-based Model," S. Gass, Interfaces 14 (1984), pp. 84-93.
A Discipline for Software Engineering, W. S. Humphrey, Addison-Wesley, 1995.
Managing the Software Process, W. S. Humphrey, Addison-Wesley, 1989.
Introduction to the Personal Software Process, W. S. Humphrey, Addison-Wesley, 1997.
User-Interface Screen Design, W. O. Galitz, QED Information Sciences, 1993.
Decline & Fall of the American Programmer, E. Yourdon, PTR Prentice Hall, 1993.
Deterministic Optimal Control, Differential Games, and Calculus of Variations
(prepared by Professor L.D. Berkovitz, Purdue University)
L. D. Berkovitz, Springer-Verlag, 1974.Optimal Control Theory,
My perception at the time of publication of the important topics in the field and how they should be presented.Optimization - Theory and Applications. Problems with Ordinary Differential Equations, L. Cesari, Springer-Verlag, 1983.
A comprehensive treatment with a very extensive discussion of existence theory.Optimization and Non-smooth Analysis, F. H. Clarke, John Wiley, 1983.
Still my recommended introduction to non-smooth (i.e. without differentiability) analysis and optimization problems (including control).Deterministic and Stochastic Optimal Control, W. H. Fleming and R. W. Rishel, Springer Verlag, 1975.
A very readable and uncluttered introduction to some of the basic aspects of deterministic and stochastic optimal control.Controlled Markov Processes and Viscosity Solutions, W. H. Fleming and H. M. Soner, Springer-Verlag, 1993.
Chapters I and II are a good introduction to optimal control via dynamic programming and viscosity solutions.Principles of Optimal Control Theory, R. V. Gamkrelidze, (Translated by K. Makowski, L. D. Berkovitz, ed.), Plenum Press, 1978.
A very short, readable and elementary treatment of the maximum principle and existence theory for "relaxed" control problems.An Introduction to Optimal Control Theory, J. Macki and A. Strauss, Springer-Verlag, 1982.
An introduction accessible to a very strong undergraduate or a beginning graduate student.The Mathematical Theory of Optimal Processes, L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, and E. F. Mishchenko, (Translated by K. N. Trirogoff, L. W. Neustadt, ed.), John Wiley, 1962.
A compendium of the pioneer contributions of the Soviet group headed by Pontryagin. Although primarily of historical interest, the first chapter is still an excellent introduction to the Pontryagin Maximum Principle.The Mathematics of Games of Strategy: Theory and Applications, M. Dresher, Dover, 1981.
An elementary introduction to game theory. Accessible to senior or strong junior undergraduates.Differential Games, A Mathematical Theory with Applications to Warfare and Pursuit, Control and Optimization, R. Isaacs, John Wiley, 1965.
Don't be put off by 19th century prose style or the formal treatment of theory. The heart of the book is a compilation of the RAND publications from which the subject of differential games grew. The book has many excellent examples that illustrate the difficulties and complexities that arise and that a satisfactory theory must take into account.Differential Games: Theory and Methods for Solving Game Problems with Singular Surfaces, J. Lewin, Springer-Verlag, 1994.
A current version of the Isaacs approach to differential games. Many examples. Solutions to some of the problems studied by Isaacs but not completely solved by him are given.The Calculus of Variations, N. I. Akhiezer, Blaisdell, 1962.
A very readable introduction. Omit the proof of the existence theorem; as simpler and less computational proofs are now available. The opening chapters of Cesari's book (I.2) also constitute a good introduction.
Military Operations Analysis
, Naval Institute Press, 1979.Naval Operations Analysis
Search and Screening, B. Koopman, Pergamon Press, 1980.
Military Applications of Modeling, F. Hoeber, Gordon & Breach, 1981.
Methods of Operations Research, Operations Evaluation Group Report No. 54, P. M. Morse, G. E. Kimball, 1946.
Introduction to Mathematical Methods in Defense Analysis, J. S. Przemieniecki, American Institute of Aeronautics and Astronautics, 1990.
The Military OR Analyst's Handbook, M. Youngren, The Military Operation Research Society, 1994.
Tactical and Strategic Missile Guidance, Second Edition, P. Zarchan, American Institute of Aeronautics and Astronautics, 1994.
Fleet Tactics, W. P. Hughes, Jr., Naval Institute Press, 1986.
History: Military Operations Analysis
, A History of Naval Operations Analysis, K. Tidman, Naval Institute Press, 1984.The Operations Evaluation Group
Studies of War, P. M. S. Blackett, Hill and Wang, 1962.
In at the Beginnings: A Physicist's Life, P. M. Morse, MIT Press, 1977 (Chapter 7).
The Rand Corporation, B. L. Smith, Harvard Press, 1966.
OR in World War 2: Operational Research Against the U-Boat, C. H. Waddington, Elek Science, 1973.
Operations Analysis in the U.S. Army Eighth Air Force in World War II, History of Mathematics, Volume 4, C. W. McArthur, American Mathematical Society, 1990.
United States Submarine Operations in World War II, T. Roscoe, Naval Institute Press, 1949.
Slide Rules and Submarines, M. C. Meigs, National Defense University Press, 1990.
Technical Communication
, L. G. Thorell, W. J. Smith, Prentice-Hall, 1990.Color: Using Computer Color Effectively
The Elements of Programming Style, B. W. Kernighan, P. J. Plauger, McGraw Hill, 1974.
The Elements of Graphing Data, W. S. Cleveland, Wadsworth, 1985.
The Elements of Style, 3rd Edition, W. Strunk, E. B. White, Macmillan, 1979.
How to Write, H. E. Meyer, J. M. Meyer, Storm King Press, 1986.
How to Use the Power of the Printed Word, edited by B. Fuess, Anchor, 1985.
A Handbook of Public Speaking for Scientists and Engineers, P. Kenny, Adam Hilger, LTD - Institute of Physics, 1982.
"People Skills: Self-Awareness - A Critical Skill for MS/OR Professionals," R. E. Levasseur, Interfaces, 21, January-February 1991, pp. 130-133.
Envisioning Information, E. R. Tufte, Graphics Press, 1990.
The Visual Display of Quantitative Information, E. R. Tufte, Graphics Press, 1983.
Effective Color Displays, Theory and Practice, D. Travis, Academic Press, 1991.
Publishing Guide for Engineering Sciences, H. Bekiroglu, K. Becker, ORSA, 1986.
A Guide to Writing, D. Beer, D. McMurrey, Wiley, 1997.
Handbook of Writing for the Mathematical Sciences, N. J. Higham, SIAM, 1993.
Applications: Optimal Search
, Second Edition, L. D. Stone, ORSA Books, 1989.Theory of Optimal Search
"Search and Its Optimization," B. Koopman, American Mathematical Monthly, Volume 86, No. 7, 1979, pp 527-540.
Search Theory and Applications, K. Haley, L. Stone, Plenum, 1980.
Studies on the Optimal Search Plan, K. Iida, Springer-Verlag, 1992.
Search and Screening, B. Koopman, Pergamon Press, 1980.
Search and Detection, (Second Edition) A. Washburn, Operations Research Society of America, 1989.
Detection Theory: A User's Guide, N. A. Macmillan, C. D. Creelman, Cambridge University Press, 1991.
Signal Detection and Recognition by Human Observers, J. A. Swets, Peninsula Publishing, 1988.
Applications: Sonar Systems Analysis
, C. Clay, H. Medwin, Wiley, 1977.Acoustical Oceanography
Fundamentals of Acoustics, 3rd ed., L. Kinsler, A. Frey, Wiley, 1982.
Principles of Underwater Sound, 3rd ed., R. J. Urick, McGraw Hill, 1983.
Underwater Acoustic Systems Analysis, W. Burdic, Prentice-Hall, 1984.
Applied Acoustics, G. Porges, Peninsula, 1987.
Fundamentals of Acoustic Field Theory and Space-Time Signal Processing, L. J. Ziomek, CRC Press, 1995.
Computational Ocean Acoustics, W. A. Kuperman, F. B. Jensen, American Institute of Physics, 1994.
Applications: Kalman Filtering
, F. C. Schweppe, Prentice-Hall, 1973.Uncertain Dynamic Systems
Stochastic Models, Estimation, and Control, Volumes 1, 2, and 3, P.S. Maybeck, Academic Press, 1982.
Kalman Filtering: Theory and Application, edited by H. W. Sorenson, IEEE Press, 1985.
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