This book offers a comprehensive introduction to calculus and mathematical modeling specifically tailored for biosciences students. It emphasizes essential concepts and practical applications, making complex mathematical ideas accessible and relevant to biological contexts. The author, an award-winning professor, guides readers through the fundamental principles, enhancing their understanding and skills in applying mathematics to biological problems.
"This engaging short book is both a mathematician's reflections on grief and a mathematically-informed theory of grieving. Michael Frame retired in 2016 as a professor of mathematics at Yale University, where students fought for a place in his course on fractal geometry. Students appreciated his use of accessible examples- decalcomania paintings and illustrations of cats to explain mathematical concepts-and stories of his work and friendship with the founder of fractal geometry, Benoit Mandelbrot. In this book, he continues his work to make mathematics accessible, using his experiences with grief to give uninitiated readers insights into advanced topics in geometry. The inability to repeat an "aha moment", when you first learn something, is one type of grief that Frame examines. He connects this irreversible loss of perspective to more consequential grief-loss of a career or of a loved one-and explains ways he has thought mathematically about grieving and coping with grief. Frame is an authentic and sympathetic voice. He retired after discovering that he had an inoperable brain tumor and feeling the effects of his cancer on his teaching career. His connections and insights make this a timely and moving book in our time of personal and collective grief"--
The second part of this series delves into calculus concepts applied to biological systems, emphasizing epidemiological models and the mathematical underpinnings of virus dynamics and antiviral responses. It also explores ion channel models related to cardiac arrhythmias and evolutionary models of disease, providing a comprehensive understanding of these critical topics in biosciences.
In this essential primer, mathematician Michael Frame, a close collaborator with Benoit Mandelbrot, the founder of fractal geometry, and poet Amelia Urry explore the amazing world of fractals as they appear in nature, art, medicine, and technology
