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MAA Reviews
Applications to the Life Sciences
Appl. to Life Sciences: General
Batschelet, Edward. Introduction to Mathematics for Life Sciences, New York, NY: Springer-Verlag, 1976. Second Edition.
* Berg, H.C. Random Walks in Biology Princeton, NJ: Princeton University Press, 1983.
Burton, T.A., ed. Modeling and Differential Equations in Biology New York, NY: Marcel Dekker, 1980.
** Casti, John L. Alternate Realities: Mathematical Models of Nature and Man New York, NY: John Wiley, 1989.
Cook, Theodore A. The Curves of Life Mineola, NY: Dover, 1979.
* Cullen, Michael R. Mathematics for the Biosciences Boston, MA: Prindle, Weber and Schmidt, 1983.
*** Edelstein-Keshet, Leah. Mathematical Models in Biology Cambridge, MA: Random House, 1988.
Goel, Narenda S. and Richter-Dyn, Nira. Stochastic Models in Biology New York, NY: Academic Press, 1974.
** Levin, Simon A., ed. Studies in Mathematical Biology, Washington, DC: Mathematical Association of America, 1978. 2 Vols.
* Lotka, A.J. Elements of Mathematical Biology Mineola, NY: Dover, 1956.
** Marcus-Roberts, Helen and Thompson, Maynard, eds. Life Science Models New York, NY: Springer-Verlag, 1983. Modules in Applied Mathematics, Vol. 4.
*** Murray, J.D. Mathematical Biology New York, NY: Springer-Verlag, 1989.
* Oliveira-Pinto, F. and Conolly, B.W. Applicable Mathematics of Non-Physical Phenomena New York, NY: Halsted Press, 1982.
* Rubinow, S.I. Introduction to Mathematical Biology New York, NY: John Wiley, 1975.
Smith, J. Maynard. Mathematical Ideas in Biology New York, NY: Cambridge University Press, 1968.
Solomon, D.L. and Walter, C., eds. Mathematical Models in Biological Discovery New York, NY: Springer-Verlag, 1977.
** Tanur, Judith M., et al., eds. Statistics: A Guide to the Study of the Biological and Health Sciences San Francisco, CA: Holden-Day, 1977.
Appl. to Life Sciences: Ecology
Batschelet, Edward. Circular Statistics in Biology New York, NY: Academic Press, 1981.
* Cohen, Joel E. Food Webs and Niche Space Princeton, NJ: Princeton University Press, 1978.
DeAngelis, D.L.; Post, W.M.; and Travis, C.C. Positive Feedback in Natural Systems New York, NY: Springer-Verlag, 1986.
* Diamond, J.M. and Case, T.J., eds. Community Ecology New York, NY: Harper and Row, 1986.
* Dunn, G. and Everitt, B.S. An Introduction to Mathematical Taxonomy New York, NY: Cambridge University Press, 1982.
** Freedman, H.I. Deterministic Mathematical Models in Population Ecology New York, NY: Marcel Dekker, 1980.
* Gause, G.F. The Struggle for Existence Mineola, NY: Dover, 1971.
Gittins, R. Canonical Analysis: A Review with Applications in Ecology New York, NY: Springer-Verlag, 1985.
** Hallam, Thomas G. and Levin, Simon A., eds. Mathematical Ecology: An Introduction New York, NY: Springer-Verlag, 1986.
Kingsland, Sharon E. Modeling Nature: Episodes in the History of Population Ecology Chicago, IL: University of Chicago Press, 1985.
** Levin, Simon A.; Hallam, Thomas G.; and Gross, Louis J., eds. Applied Mathematical Ecology New York, NY: Springer-Verlag, 1989.
MacArthur, R.H. and Wilson, Edward O. The Theory of Island Biogeography Princeton, NJ: Princeton University Press, 1967.
** Mangel, Marc and Clark, Colin W. Dynamic Modeling in Behavioral Ecology Princeton, NJ: Princeton University Press, 1988.
May, Robert M. Stability and Complexity in Model Ecosystems, Princeton, NJ: Princeton University Press, 1974. Second Edition.
* May, Robert M., ed. Theoretical Ecology: Principles and Applications Boston, MA: Blackwell Science, 1976.
McKelvey, Robert W., ed. Environmental and Natural Resource Mathematics Providence, RI: American Mathematical Society, 1985.
Nobel, P. Biophysical Plant Physiology and Ecology New York, NY: W.H. Freeman, 1983.
*** Okubo, A. Diffusion and Ecological Problems: Mathematical Models New York, NY: Springer-Verlag, 1980.
Oster, George F. and Wilson, Edward O. Caste and Ecology in the Social Insects Princeton, NJ: Princeton University Press, 1978.
Pedley, T.J., ed. Scale Effects in Animal Locomotion New York, NY: Academic Press, 1977.
** Pielou, E.C. An Introduction to Mathematical Ecology, New York, NY: John Wiley, 1969, 1977. Second Edition.
Prusinkiewicz, Przemyslaw and Hanan, James. Lindenmayer Systems, Fractals, and Plants New York, NY: Springer-Verlag, 1989.
* Roughgarden, Jonathan. Theory of Population Genetics and Ecology: An Introduction New York, NY: Macmillan, 1979.
Roughgarden, Jonathan; May, Robert M.; and Levin, Simon A., eds. Perspectives in Ecological Theory Princeton, NJ: Princeton University Press, 1989.
Scudo, F. and Ziegler, J. The Golden Age of Theoretical Ecology New York, NY: Springer-Verlag, 1978.
* Smith, J. Maynard. Models in Ecology New York, NY: Cambridge University Press, 1978.
Tilman, D. Resource Competition and Community Structures Princeton, NJ: Princeton University Press, 1982.
Vincent, Thomas L. and Skowronski, Janislaw M., eds. Renewable Resource Management New York, NY: Springer-Verlag, 1981.
* Volterra, Vito. Lecons sur la theorie mathematique de la lutte pour la vie Paris: Gauthier-Villars, 1931.
Waite, T.D. and Freeman, N.J. Mathematics of Environmental Processes Lexington, MA: D.C. Heath, 1977.
Whittaker, R.H. Communities and Ecosystems, New York, NY: Macmillan, 1970, 1975. Second Edition.
Whittaker, R.H. and Levin, Simon A. Niche: Theory and Application New York, NY: Dowden, Hutchinson and Ross, 1975.
Appl. to Life Sciences: Epidemiology
Anderson, R.M. and May, Robert M., eds. Population Biology of Infectious Diseases New York, NY: Springer-Verlag, 1982.
** Anderson, R.M., ed. Population Dynamics of Infectious Diseases: Theory and Applications New York, NY: Chapman and Hall, 1982.
** Bailey, Norman T.J. The Mathematical Theory of Infectious Diseases and Its Applications, New York, NY: Macmillan, 1975. Second Edition.
* Frauenthal, J.C. Mathematical Modeling in Epidemiology New York, NY: Springer-Verlag, 1980.
Kleinbaum, D.G.; Kupper, L.L.; and Morgenstern, H. Epidemiologic Research: Principles and Quantitative Methods Belmont, CA: Lifetime Learning, 1982.
Appl. to Life Sciences: Genetics
Bulmer, M.G. The Mathematical Theory of Quantitative Genetics New York, NY: Clarendon Press, 1980.
Cavalli-Sforza, Luigi Luca and Feldman, M.W. Cultural Transmission and Evolution: A Quantitative Approach Princeton, NJ: Princeton University Press, 1981.
Charnov, E.L. The Theory of Sex Allocation Princeton, NJ: Princeton University Press, 1982.
* Christiansen, F.B. and Fenchel, T.M. Theories of Populations in Biological Communities New York, NY: Springer-Verlag, 1977.
** Crow, James R. and Kimura, Moto. An Introduction to Population Genetics Theory New York, NY: Harper and Row, 1970.
*** Ewens, W.J. Mathematical Population Genetics New York, NY: Springer-Verlag, 1979.
** Feldman, M.W., ed. Mathematical Evolutionary Theory Princeton, NJ: Princeton University Press, 1989.
Findley, A.M.; McGlynn, S.P.; and Findley, G.L. The Geometry of Genetics New York, NY: John Wiley, 1989.
* Gale, J.S. Theoretical Population Genetics London: Unwin Hyman, 1990.
Jacquard, Albert. The Genetic Structure of Populations New York, NY: Springer-Verlag, 1974.
Karlin, Samuel and Lessard, Sabin. Theoretical Studies on Sex Ratio Evolution Princeton, NJ: Princeton University Press, 1986.
* Mather, K. and Jinks, J.L. Biometrical Genetics New York, NY: Chapman and Hall, 1982.
Michod, R.E. and Levin, B.R., eds. The Evolution of Sex Sunderland, MA: Sinauer Associates, 1988.
Provine, W. The Origins of Theoretical Population Genetics Chicago, IL: University of Chicago Press, 1971.
** Smith, J. Maynard. Evolution and the Theory of Games New York, NY: Cambridge University Press, 1982.
* Suzuki, David T.; Griffiths, Anthony J.F.; and Lewontin, Richard C. An Introduction to Genetic Analysis, New York, NY: W.H. Freeman, 1976, 1986. Third Edition.
Appl. to Life Sciences: Population Biology
** Bartlett, M.S. Stochastic Population Models in Ecology and Epidemiology New York, NY: Methuen, 1960.
Bartlett, M.S. and Hiorns, R.W., eds. The Mathematical Theory of the Dynamics of Biological Populations New York, NY: Academic Press, 1973.
Brown, Robert L. Introduction to the Mathematics of Demography Winsted, CT: ACTEX Publications, 1991.
Ginzburg, L.R. and Golenberg, E.M. Lectures in Theoretical Population Biology Englewood Cliffs, NJ: Prentice Hall, 1985.
* Hassell, Michael P. The Dynamics of Arthropod Predator-Prey Systems Princeton, NJ: Princeton University Press, 1978.
* Hoppensteadt, Frank C. Mathematical Theories of Populations: Demographics, Genetics, and Epidemics Philadelphia, PA: Society for Industrial and Applied Mathematics, 1975.
*** Hoppensteadt, Frank C. Mathematical Methods of Population Biology New York, NY: Cambridge University Press, 1982.
Hutchinson, G.E. An Introduction to Population Ecology New Haven, CT: Yale University Press, 1978.
Impagliazzo, J. Deterministic Aspects of Mathematical Demography New York, NY: Springer-Verlag, 1985.
*** Keyfitz, Nathan and Beekman, John A. Demography Through Problems New York, NY: Springer-Verlag, 1984.
Keyfitz, Nathan. Introduction to the Mathematics of Population, Reading, MA: Addison-Wesley, 1968, 1977. Revised Edition.
* Keyfitz, Nathan. Applied Mathematical Demography New York, NY: John Wiley, 1977.
Lewis, E. Network Models in Population Biology New York, NY: Springer-Verlag, 1977.
** Ludwig, D. Stochastic Population Theories New York, NY: Springer-Verlag, 1974.
McDonald, N. Time Lags in Biological Models New York, NY: Springer-Verlag, 1978.
Metz, J.A.J. and Diekmann, O. The Dynamics of Physiologically Structured Populations New York, NY: Springer-Verlag, 1986.
Nisbet, R.M. and Gurney, W.S.C. Modelling Fluctuating Populations New York, NY: John Wiley, 1982.
* Pollard, J.H. Mathematical Models for the Growth of Human Populations New York, NY: Cambridge University Press, 1973.
** Smith, D.P. and Keyfitz, Nathan. Mathematical Demography New York, NY: Springer-Verlag, 1978.
Appl. to Life Sciences: Physiology
* Carson, E.R.; Cobelli, C.; and Finkelstein, L. The Mathematical Modeling of Metabolic and Endocrine Systems New York, NY: John Wiley, 1983.
Collins, R. and van der Werff, T.J. Mathematical Models of the Dynamics of the Human Eye New York, NY: Springer-Verlag, 1980.
* Glass, L. and Mackey, M.C. From Clocks to Chaos: The Rhythms of Life Princeton, NJ: Princeton University Press, 1988.
Holmes, Mark H. and Rubenfeld, Lester A., eds. Mathematical Modeling of the Hearing Process New York, NY: Springer-Verlag, 1981.
** Lighthill, Michael James. Mathematical Biofluiddynamics Philadelphia, PA: Society for Industrial and Applied Mathematics, 1975.
*** Mazumdar, J. An Introduction to Mathematical Physiology and Biology New York, NY: Cambridge University Press, 1989.
* McMahon, T. Muscles, Reflexes, and Locomotion Princeton, NJ: Princeton University Press, 1984.
Pavlidis, Theo. Biological Oscillators: Their Mathematical Analysis New York, NY: Academic Press, 1973.
Scott, Alwyn C. Neurophysics New York, NY: John Wiley, 1977.
** Segel, Lee A. Modeling Dynamic Phenomena in Molecular and Cellular Biology New York, NY: Cambridge University Press, 1984.
*** Segel, Lee A., ed. Mathematical Models in Molecular and Cellular Biology New York, NY: Cambridge University Press, 1980.
Strogatz, Steven H. The Mathematical Structure of the Human Sleep-Wake Cycle New York, NY: Springer-Verlag, 1986.
Thom, Rene. Structural Stability and Morphogenesis: An Outline of a General Theory of Models Redwood City, CA: Benjamin Cummings, 1975.
* Thom, Rene. Mathematical Models of Morphogenesis New York, NY: Halsted Press, 1983.
Thornley, J.H.M. Mathematical Models in Plant Physiology New York, NY: Academic Press, 1976.
Vogel, S. Life in Moving Fluids---The Physical Biology of Flow Princeton, NJ: Princeton University Press, 1983.
** Winfree, Arthur T. The Timing of Biological Clocks New York, NY: Scientific American Library, 1987.
* Winfree, Arthur T. The Geometry of Biological Time, New York, NY: Springer-Verlag, 1980, 1990. Second Edition.
Appl. to Life Sciences: Medicine
*** Bailar, John C. and Mosteller, Frederick, eds. Medical Uses of Statistics Waltham, MA: New England Journal of Medicine Books, 1986.
Banks, H.T. Modeling and Control in the Biomedical Sciences New York, NY: Springer-Verlag, 1975.
Cherruault, Y. Mathematical Modelling in Biomedicine: Optimal Control of Biomedical Systems Norwell, MA: D. Reidel, 1985.
Eisen, Martin M. Mathematical Models in Cell Biology and Cancer Chemotherapy New York, NY: Springer-Verlag, 1979.
* Glantz, Stanton A. Mathematics for Biomedical Applications Berkeley, CA: University of California Press, 1979.
* Herman, Gabor T. Image Reconstruction from Projections: The Fundamentals of Computerized Tomography New York, NY: Academic Press, 1980.
Ingram, D. and Bloch, R.F., eds. Mathematical Methods in Medicine, New York, NY: John Wiley, 1984. 2 Vols.
Iosifescu, M. and Tautu, P. Stochastic Processes and Applications in Biology and Medicine, New York, NY: Springer-Verlag, 1973. 2 Vols.
* Jacquez, J.A. Compartmental Analysis in Biology and Medicine, Ann Arbor, MI: University of Michigan Press, 1985. Second Edition.
Miller, Rupert G., Jr., et al., eds. Biostatistics Casebook New York, NY: John Wiley, 1980.
Natterer, F. The Mathematics of Computerized Tomography New York, NY: John Wiley, 1986.
* Shepp, Lawrence A. Computed Tomography Providence, RI: American Mathematical Society, 1983.
Swan, George W. Applications of Optimal Control Theory in Biomedicine New York, NY: Marcel Dekker, 1984.
Appl. to Life Sciences: Special Topics
Casti, John L. and Karlqvist, Anders, eds. Complexity, Language, and Life: Mathematical Approaches New York, NY: Springer-Verlag, 1986.
* Childress, Stephen. Mechanics of Swimming and Flying New York, NY: Courant Institute of Mathematical Sciences, 1977.
Gerstenhaber, Murray, et al., eds. Some Mathematical Questions in Biology, Providence, RI: American Mathematical Society, 1968--91. Vols. 1--18.
Hoppensteadt, Frank C., ed. Nonlinear Oscillations in Biology Providence, RI: American Mathematical Society, 1979.
Jager, W.; Rost, H.; and Tautu, P. Biological Growth and Spread: Mathematical Theories and Applications New York, NY: Springer-Verlag, 1980.
** Jagers, P. Branching Processes with Biological Applications New York, NY: John Wiley, 1975.
* Murray, J.D. Lectures on Nonlinear-Differential-Equation Models in Biology New York, NY: Clarendon Press, 1977.
Percus, J.K. Combinatorial Methods in Developmental Biology New York, NY: Courant Institute of Mathematical Sciences, 1977.
* Peskin, Charles S. Partial Differential Equations in Biology New York, NY: New York University Press, 1976.
Ricciardi, L.M. Diffusion Processes and Related Topics in Biology New York, NY: Springer-Verlag, 1977.