References#

( Journal references follow as; \(\quad\) Author(s) (year), journal name, volume: page number)

Abramowicz, M. & Stegun, I. (1965), Handbook of Mathematical Functions, Dover.

Acheson, D. (1997), From Calculus to Chaos, Oxford University Press.

Adam, J. A. (2003), Mathematics in Nature, Princeton University press.

Alexander, R. M. (1996), Optima for Animals, Princeton University Press.

Allen, J. & Eberly, J. H. (1987), Optical Resonance and Two Level Atoms, Dover.

Allen, M. P. & Tilldesley, D. J. (1987), Computer Simulation of Liquids, Oxford University Press.

Altringham, J. (1996), Bats: Biology and Behaviour, Oxford University Press.

Aratyn, H. & Rasinariu, C. (2006), A Short Course in Mathematical Methods with Maple, World Scientific.

Arkfen, G. (1970), Mathematical Methods for Physicists, 2nd edition, Academic.

Atkins, P. (2001), Elements of Physical Chemistry, 3rd edition, Oxford University Press.

Atkins, P. & de Paula, J. (2006), Physical Chemistry, Oxford University Press.

Atkins, P. & Friedmann, R. (1997), Molecular Quantum Mechanics, 3rd edition, Oxford University Press.

Barlow, R. J. (1989), Statistics: A Guide to the Use of Statistical Methods in the Physical Sciences, Wiley.

Barnes, B. & Fulford, G. (2002), Mathematical Modelling with Case Studies, Taylor & Francis.

Barrow, G. M. (1979), Physical Chemistry, 4th edition, McGraw-Hill.

Bell, G. (1978), ‘Models for the Specific Adhesion of Cells to Cells’, Science 200: 618.

Bennett, R. G. & Kellogg, R. E. (1967), Progress in Reaction Kinetics, vol. 4, edited by G. Porter, Pergamon.

Bernal, J. D. (1973), The Extension of Man, Paladin.

Bernstein, R. B. (1982), Chemical Dynamics via Molecular Beam and Laser Techniques, Oxford Science, Clarendon Press.

Bertinotti, F. & Giacomello, G. (1956), ‘The Structure of Heterocyclic Compounds Containing Nitrogen. I. Crystal and Molecular Structure of s-Tetrazine’, Acta Cryst. 9: 510.

Bevington, P. R. (1969), Data Analysis and Error Reduction for the Physical Sciences, McGraw-Hill.

Bevington, P. R. & Robinson, D. K. (2003), Data Analysis and Error Reduction for the Physical Sciences, 3rd edition, McGraw-Hill.

Birks, J. B. (1970), Photophysics of Aromatics Molecules, Wiley.

Bishop, D. M. (1993), Group Theory and Chemistry, Dover.

Blatner, D. (1999), The Joy of Pi, Walker/Bloomsbury.

Blundell, S. (2001), Magnetism in Condensed Matter, Oxford University Press.

Boas, M. L. (1983), Mathematical Methods in the Physical Sciences, 2nd edition, Wiley.

Bracewell, R. (1986), The Fourier Transform and its Applications, McGraw-Hill International.

Britton, N. (2003), Essential Mathematical Biology, Springer.

Brockwell, D., Paci, E., Zinober, R., Beddard, G., Olmsted, P., Smith, D., & Radford, S. (2003), ‘Pulling Geometry Defines the Mechanical Resistance of a B-Sheet Protein’, Nature Structural Biology, 10: 731.

Bronson, R. (1994), Schaum’s Outline of Theory and Problems, Differential Equations, McGraw Hill.

Brown, R. (1828), ‘A brief account of microscopical observations made in the months of June, July and August, 1827, on the particles contained in the pollen of plants; and on the general existence of active molecules in organic and inorganic bodies’, Philosophical Magazine 4: 161.

Bunn, C. (1961) ‘Chemical Crystallography’ OUP.

Butkov, E. (1968), Mathematical Physics, Addison-Wesley.

Carlsaw, H. S. & Jaeger, J. C. (1959), Conduction of Heat in Solids, Clarendon Press.

Carrington, A. & McLachlan, A. (1969), Introduction to Magnetic Resonance, Harper. Carter, R. (1997), Molecular Symmetry and Group Theory, Wiley.

Cherepanov, D. A. & Junge, W. (2001), ‘Viscoelastic Dynamics of Actin Filaments Coupled to Rotary F- ATPase: Curvature as an Indicator of the Torque’, Biophys. J. 81: 1234.

Chandrasekhar, S. (1943) ‘Stochastic problems in physics and astronomy’, Rev. Mod. Phys. 15: 1.

Chandrasekhar, S. (1968) ‘An Introduction to the Study of Stellar Structure’, Dover.

Christie, M., Norrish, R., & Porter, G. (1952), ‘The Recombination of Atoms. I. Iodine Atoms in the Rare Gases’, Proceedings of the Royal Society London 216A: 152.

Cochran, W., Crick, F., & Vand, V., (1952) Acta Crystallog. 5: 581.

Cohen, E. R., Cvitas, T., Frey, J. G., & Kuchitsu, K. (2007), Quantities, Units and Symbols in Physical Chemistry, 3rd edition, RSC Press. (Mills et al. 1993 is earlier edition.)

Cohen-Tannoudji, C., Diu, B., & Laloë, F. (1977), Quantum Mechanics, Wiley-Interscience.

Cooley, J. W. & Tukey, J. W. (1965), ‘An Algorithm for Machine Calculation of Complex Fourier Series’, Mathematics of Computation 19: 297.

Cotton, F. A. (1990), Chemical Applications of Group Theory, 3rd edition, Wiley.

Crank, J. (1979), The Mathematics of Diffusion, Oxford University Press.

Crouse, D., (2007) J. Chem. Educ., 84: 803.

Daune, M. (1999), Molecular Biophysics, Oxford University Press.

Davidson, N. (1962), Statistical Mechanics, McGraw Hill.

Dence, J. (1975), Mathematical Techniques in Chemistry, Wiley.

Evans, E. & Ritchie, K. (1997), ‘Dynamic Strength of Molecular Adhesion Bonds’, Biophysics J. 72: 1541.

Eyring, H., Lin, S. H., & Lin, S. M. (1980), Basic Chemical Kinetics, Wiley.

Finkelstein, A. & Ptitsyn, O. (2002), Protein Physics, Academic Press.

Flugge, S. (1999), Practical Quantum Mechanics, Springer.

Flygare, W. (1978), Molecular Structure and Dynamics, Prentice-Hall.

Foote, C. (2005), Atomic Physics, Oxford University Press.

Förster, T. (1959), ‘Transfer Mechanisms of Electronic Excitation’, Discussion Faraday Soc. 27: 7.

Frenkel. D. & Smit, B. (1996), Understanding Molecular Simulation, Academic Press.

Garvan, F. (2002), The Maple Book, Chapman & Hall/CRC.

Gerrard, A. & Burch, J. M. (1975), Introduction to Matrix Methods in Optics, Wiley.

Giacovazzo, C., Monaco, H. L., Viterbo, D., Scordari, F., Gilli, G., Zanotti, G., & Catti, M. (1992), IUCR Texts on Crystallography: vol. 2 Fundamentals of Crystallography, edited by C. Giacovazzo, Oxford University Press.

Gibbons, C., Montgomery, M. G., Leslie, A. G. W., & Walker, J. E. (2000), ‘The Structure of the Central Stalk in Bovine F1-ATPase at 2.4 Å Resolution’, Nature Structural Biology 7: 1055.

Gibbs, J. W. (1899), ‘Fourier’s Series’, Nature 59: 606.

Gillespie, D. J. (1977), ‘Exact Stochastic Simulation of Coupled Chemical Reactions’, Phys. Chem. 81: 2340.

Gillespie, D. J. (2007), ‘Stochastic Simulation of Chemical Kinetics’, Annual Reviews of Physical Chemistry 58: 35.

Goldberg, S. (1986), Probability, An Introduction, Dover.

Goldstein, H. (1980), Classical Mechanics, Addison-Wesley.

Gordy, W., Smith, W., & Trambarulo, R. (1953), Microwave Spectroscopy, Dover.

Gorry, P. A. (1990), ‘General Least-Squares Smoothing and Differentiation by the Convolution (Savitzky-Golay) Method’, Analytical Chemistry 63: 570.

Gould, H., Tobochnik, J., & Christian, W. (2007), An Introduction to Computer Simulation Methods, 3rd edition, Pearson.

Gow, G. M. (1964), A Course in Pure Mathematics, English Universities Press.

Günther, H. (1992), NMR Spectroscopy, Wiley.

Haken, H. (1978), Synergetics, Springer Verlag.

Hamill, P. (2014) A student’s guide to Lagrangians and Hamiltonians, Cambridge University Press.

Harwit, M. & Sloane, N. J. A. (1979), Hadamard Transform Optics, Academic Press.

Hecht, E. & Zajac, A. (1982),Optics, Addison-Wesley Publishing Company.

Heck, A. (1996), Introduction to Maple, Springer.

Herzberg, G. (1950), Spectra of Diatomic Molecules, 2nd edition, Van Nostrand Reinhold.

Herzberg, G. (1964), Infrared and Raman Spectra of Polyatomic Molecules, 11th printing, Van Nostrand Reinhold.

Hines, W. & Montgomery, D. C. (1990), Probability and Statistics in Engineering and Management Science, 3rd edition, Wiley.

Hirst, D. M. (1990), A Computational Approach to Chemistry, Blackwell.

Jackson, M. B. (2006), Molecular & Cellular Biophysics, Cambridge University Press.

James, J. F. (1995), A Student’s Guide to Fourier Transforms, Cambridge University Press.

Jeans, J. (1982) ‘An Introduction to the Kinetic Theory of Gases’ Cambridge University Press.

Jeffery, A. (1990), Linear Algebra and Ordinary Differential Equations, Blackwell Scientific.

Jolliffe, I. T. (2002), Principal Component Analysis, Springer.

Kermack, W. O. & McKendrick, A. G. (1927), ‘A Contribution to the Mathematical Theory of Epidemics’, Proceedings of the Royal Society London A 115: 700.

Knobel, P. (2000), An Introduction to the Mathematical Theory of Waves, American Mathematical Society.

Koryta, J., Dvorak, J., & Kavan, L. (1993), Principles of Electrochemistry, Wiley.

Kosloff, R. J. (1988), ‘Time-Dependent Quantum-Mechanical Methods for Molecular Dynamics’, Phys. Chem. 92: 2087.

Krauth, W. (2006), Algorithms & Computations, Oxford University Press.

Kuhn, H. & Fursterling, H.-D. (1999), Physical Chemistry: Understanding Molecules, Molecular Assemblies, Supramolecular Machines, Wiley.

Lacowicz, J. (2004), Principles of Fluorescence Spectroscopy, Springer. Lamb, H. (1947), Dynamics, Cambridge University Press.

Lengyel, I., Rabai, G., & Epstein, I. J. (1990), ‘Experimental and Modeling Study of Oscillations in the Chlorine Dioxide-Iodine-Malonic Acid Reaction’, Amer. Chem. Soc. 112: 9104.

Levine, I. N. (2001), Quantum Chemistry, 5th edition, Prentice Hall.

Levitt, M. (2001), Spin Dynamics: Basics of Nuclear Magnetic Resonance, Wiley.

Lewis & Randall (1961) Thermodynamics, 2nd edition. McGraw Hill and revised by Pitzer & Brewer.

Linthorne, N. (2006), ‘A New Angle on Throwing’, Physics World 19(June): 29.

Lipson, A. Lipson, G. & Lipson H. (2011), ‘Optical Physics. 4th ed. CUP.

Lotka, A. (1925), Elements of physical biology, Williams and Wilkins (Reprinted 1956 by Dover as Elements of mathematical biology).

Lucas, A., Ph. Lambin, Ph., Mairesse, R. and Mathot, M. (1999) J. Chem. Educ., 76: 378.

Margenau, H. & Murphy, G. (1943), The Mathematics of Physics & Chemistry, Van Nostrand.

Marshall, A. G. (1978), Biophysical Chemistry, Principles, Techniques and Applications, Wiley.

Marshall, A. G. (1982), Fourier, Hadamard and Hilbert Transforms in Chemistry, Plenum.

Martin, R. & Davidson, E. (1988), ‘Electronic Structure of the Sodium Trimer’, Molecular Physics 35: 1713.

May, R. (1974), ‘Biological Populations with Non-overlapping Generations: Stable Points, Stable Cycles, and Chaos’, Science 186: 645.

May, R. (1987), ‘Chaos and the Dynamics of Biological Populations’, Proceedings of the Royal Society, 779 London A 413: 27.

May, R. & Oster, G. (1976), ‘Bifurcations and Dynamic Complexity in Simple Ecological Models’, American Naturalist 110: 573.

Maynard Smith, J. (1995), The Theory of Evolution, Cambridge University Press.

McKie, D. & McKie, C. (1992), Essentials of Crystallography, Blackwell.

McQuarrie, D. A. & Simon, J. D. (1997), Physical Chemistry, A molecular Approach, University Science Books.

Metropolis, N., Rosenbluth, A. M., Teller, A., & Teller, E. J. (1953), ‘Equation of State Calculations by Fast Computing Machines’, Chem. Phys. 21: 1087.

Miller, J. & Miller, J. C. (2005), Statistics and Chemometrics for Analytical Chemistry, Prentice Hall.

Mills, I., Cvitas, T., Homann, K., Kallay, N., & Kuchitsu, K. (1993), Quantities, Units and Symbols in Physical Chemistry, 2nd edition, Blackwell.

Molloy, K. (2004), Group Theory for Chemists, Horwood.

Morse, P. M. (1929), ‘Diatomic Molecules According to the Wave Mechanics. II. Vibrational Levels’, Physical Review 34: 57.

Murray, J. D. (2002), Mathematical Biology 1 An Introduction, Springer.

Murrell, J. N. & Jenkins, A. D. (1994), Properties of Liquids and Solutions, 2nd edition, Wiley.

Newman, E. & Barkema, G. (1999), Monte Carlo Methods in Statistical Physics, Clarendon Press.

O’Connor, D. V. & Phillips, D. (1984), Time-Correlated Single Photon Counting, Academic Press.

Onsager, L. (1944), ‘Crystal Statistics, I. A Two-Dimensional Model with an Order-Disorder Transition’, Phys. Ret. 65: 117.

Pain, H. (1993), The Physics of Vibrations and Wates, Wiley.

Pänke, O., Cherepanov, D. A., Gumbiowski, K., Engelbrecht, S., & Junge, W. (2001), ‘Viscoelastic Dynamics of Actin Filaments Coupled to Rotary F-ATPase: Angular Torque Profile of the Enzyme’, Biophysics J. 81: 1220.

Parratt, L. G. (1971), Probability and Experimental Errors in Science, Dover.

Penrose, R. (1990), The Emperor’s New Mind, Oxford University Press.

Perkus, J. K. (2001), Mathematics of Genome Analysis, Cambridge University Press.

Perrin, C. L. (1970), Mathematics for Chemists, Wiley-Interscience.

Phillips, D. & Barber, J. (2006), The Life and Scientific Legacy of George Porter, Imperial College Press.

Pilling, M. J. & Seakins, P. (2005), Reaction Kinetics, Oxford University Press.

Polanyi, J. & Schreiber, J. (1977), ‘The Reaction \(\mathrm{F + H_2 \to HF + H}\): A Case Study in Reaction Dynamics’, Faraday Disc. Chem. Soc. 62: 267.

Porter, G. & Smith, J. (1961), ‘The Recombination of Atoms. III. Temperature Coefficients of Iodine Atom Recombination’, Proceedings of the Royal Society London, Series A 261: 28.

Porter, G. (1967), Nobel Symposium 5. Fast Reactions and Primary. Processes in Reaction Kinetics, edited by Claesson, Interscience.

Praly, J. & Lemieux, R. (1987), ‘Influence of Solvent on the Magnitude of the Anomeric Effect’, Canadian. J. Chem. 65: 213.

Prest, W., Flannery, B., Teutolsky, S., & Vetterling, W. (1986), Numerical Recipes, Cambridge University Press.

RasMol http://rasmol.org/, http://www.bernstein-plus-sons.com/software/rasmol/, or via ‘software tools’ link at http://www.rcsb.org/pdb/home/home.do

Ratner, M. & Schatz, G. (2001), Introduction to Quantum Mechanics in Chemistry, Prentice Hall.

Reif, M., Gautel, M., Oesterhelt, F., Fernandez, J. M., & Gaub, H. E. (1977), ‘Reversible Unfolding of Individual Titin Immunoglobulin Domains by AFM’, Science 276: 1109.

Richards, D. (2002), Advanced Mathematical Method with Maple, Cambridge University Press.

Rigby, M., Smith, E. B., Wakenham, W. A., & Maitland, G. C. (1986), The Forces between Molecules, Oxford Science Clarendon Press.

Sage, G. & Klemperer, W. J. (1963), ‘Far-Infrared Spectrum and Barrier to Internal Rotation of Ethyl Fluoride’, Chem. Phys. 39: 371.

Sahimi, M. (1994), Applications of Percolation Theory, Taylor & Francis.

Salem, L. (1982), Electrons in Chemical Reactions: First Principles, Wiley.

Sanders, J. K. M. & Hunter, B. K. (1987), Modern NMR Spectroscopy, A Guide for Chemists, Oxford University Press.

Scott, S. K. (1995), Oscillations, Waves and Chaos in Chemical Kinetics, Oxford University Press.

Senent, M. L., Smeyers, Y. G., Dominquez-Gómes, R., & Villa, M. J. (2000), ‘Ab initio Determination of the Far Infrared Spectra of Some Isotopic Varieties of Ethanol’, Chem. Phys. 112: 5809.

Shey, H. (1993), Dit, Grad, Curl and All That, W. Norton.

Shingareva, I. & Lizarraga-Celaya, C. (2007), Maple and Mathematica: A Problem Solving Approach for Mathematics, Springer-Verlag.

Siegman, A. (1986), Lasers, University Science Books.

Simmons, J. (1971), ‘Echolocation in Bats: Signal Processing of Echoes for Target Range’, Science 171: 925.

Squires, G. L. (1995), Problems in Quantum Mechanics, Cambridge University Press. Steinfeld, J. (1981), Molecules and Radiation, MIT Press.

Steinfeld, J., Fransisco, J., & Hase, W. (1999), Chemical Kinetics & Dynamics, Prentice Hall.

Stephenson, G. (1996), Partial Differential Equations for Scientists and Engineers, Imperial College Press. Steward, E. G. (1987), Fourier Optics: An Introduction, 2nd edition, Wiley. Stewart, I. (1998), The Magical Maze, Phœnix.

Stone, A. J. (1996), The Theory of Intermolecular Forces, Clarendon Press.

Strogatz, S. (1994), Nonlinear Dynamics and Chaos, Perseus Books.

Svelto, O. (1982), Principles of Lasers, Plenum Press.

Swalen, J. & Ibers, J. J. (1962), ‘Potential Function for the Inversion of Ammonia’, Chem. Phys. 36: 1914. Szabo, A. & Ostlund, N. (1982), Modern Quantum Chemistry, Dover.

Thompson, J., Braun, G., Tierney, D., Wessel L., & Schmitzer, H., (2018) Am. J. Phys. 86: 95

Tronrud, D. E., Schmid, M. F., & Matthews, B. W. (1986), J. Mol. Biol. 188: 443.

Turro, N. (1978), Molecular Photochemistry, Benjamin-Cummings.

Turton, D. A., Reid, G. D. & Beddard, G. S. (2003), ‘Accurate Analysis of Fluorescence Decays from Single Molecules in Photon Counting Experiments’, Analytical Chemistry 75: 4182.

Verlet, L. (1967), ‘Computer “Experiments” on Classical Fluids. I. Thermodynamical Properties of Lennard-Jones Molecules’, Physical Retiew 159: 98.

Verlet, L. (1967), ‘Computer “Experiments” on Classical Fluids. II. Equilibrium Correlation Functions’, Physical Retiew 165: 201.

Vincent, A. (2001), Molecular Symmetry and Group Theory, Wiley.

Volterra, V. (1926 ), ‘Fluctuations in the abundance of a species considered mathematically’, Nature 118: 558.

Vrakking, M. J., Villeneuve, D. M., & Stolow, A. (1996), ‘Observation of Fractional Revivals of a Molecular Wave Packet’, Physical Retiew 54: R37.

Waller, A. & Liddington, R. C. (1990), ‘Refinement of a Partially Oxygenated T State Human Haemoglobin at 1.5 Å Resolution’, Acta Cryst. B 46: 409.

Weast, R. C. (ed.) CRC Handbook of Chemistry and Physics, Chemical Rubber Co. (Any edition will do. This book is colloquially known as the ‘Rubber Book’.)

Weisstein, E. W. ‘Box-Muller Transformation’, www.mathworld.wolfram.com

Whittaker, J. B. (ed.) (2007), Imaging in Molecular Dynamics: Technology and Applications, Cambridge University Press.

Wyckoff, R. (1969), Crystal Structures, vol. 6 (1), 2nd edition, Wiley.

Yariv, A. (1975), Quantum Electronics, 2nd edition, Wiley.

Zewail, A. (1994), Femtochemistry: Ultrafast Dynamics of the Chemical Bond, Vols 1 & 2, World Scientific.

Zimm. B. H. & Bragg, J. K. J. (1959), ‘Theory of the Phase Transition between Helix and Random Coil in Polypeptide Chains’, Chem. Phys. 31: 526.