TY - BOOK AU - Milton,John AU - Ohira,Toru TI - Mathematics as a laboratory tool: dynamics, delays and noise SN - 9781461490951 U1 - 570.151 23 PY - 2014/// CY - New York : PB - Springer, KW - Biology KW - Mathematical models KW - Biomathematics N1 - Includes bibliographical references and index; 1. Science and the mathematics of black boxes -- 2. The mathematics of change -- 3. Equilibria and steady states -- 4. Stability -- 5. Fixed points: Creation and destruction -- 6. Transient dynamics -- 7. Frequency domain I: Bode plots and transfer functions -- 8. Frequency domain II: Fourier analysis and power spectra -- 9. Feedback and control systems -- 10. Oscillations -- 11. Beyond limit cycles -- 12. Random perturbations -- 13. Noisy dynamical systems -- 14. Random walkers -- 15. Thermodynamic perspectives-- 16. Concluding remarks-- References-- Index N2 - This introductory textbook is based on the premise that the foundation of good science is good data. The educational challenge addressed by this introductory textbook is how to present a sampling of the wide range of mathematical tools available for laboratory research to well-motivated students with a mathematical background limited to an introductory course in calculus. ER -