Book Reviews

Book Reviews

1990 | J. Hofbauer and K. Sigmund; N. MacDonald; J. Mazumdar
The article reviews three books from Cambridge University Press: *The Theory of Evolution and Dynamical Systems* by J. Hofbauer and K. Sigmund, *Biological Delay Systems: Linear Stability Theory* by N. MacDonald, and *An Introduction to Mathematical Physiology and Biology* by J. Mazumdar. These books explore the application of mathematics to biological systems and the development of biomathematics over the past few decades. *The Theory of Evolution and Dynamical Systems* is praised for its comprehensive coverage and depth, making it an excellent resource for both beginners and advanced researchers. It is described as a "beauty" and a thoroughly reworked translation of their 1984 German book. *Biological Delay Systems: Linear Stability Theory* focuses on the methodological aspects of delays in biological processes, including discrete and distributed delays. The book provides detailed analysis and practical methods for understanding the stability of systems with delays, making it useful for applied mathematicians and researchers in applied mathematics. *An Introduction to Mathematical Physiology and Biology* is criticized for its narrow focus on the author's research area, particularly the heart, and its lack of depth in more complex biological interactions. While some chapters, such as the one on dimension analysis, are well-received, the overall content is deemed too specialized and shallow for a broader audience. The reviewer concludes that *The Theory of Evolution and Dynamical Systems* is the best choice for students and researchers looking to explore the intersection of sophisticated mathematics and biology.The article reviews three books from Cambridge University Press: *The Theory of Evolution and Dynamical Systems* by J. Hofbauer and K. Sigmund, *Biological Delay Systems: Linear Stability Theory* by N. MacDonald, and *An Introduction to Mathematical Physiology and Biology* by J. Mazumdar. These books explore the application of mathematics to biological systems and the development of biomathematics over the past few decades. *The Theory of Evolution and Dynamical Systems* is praised for its comprehensive coverage and depth, making it an excellent resource for both beginners and advanced researchers. It is described as a "beauty" and a thoroughly reworked translation of their 1984 German book. *Biological Delay Systems: Linear Stability Theory* focuses on the methodological aspects of delays in biological processes, including discrete and distributed delays. The book provides detailed analysis and practical methods for understanding the stability of systems with delays, making it useful for applied mathematicians and researchers in applied mathematics. *An Introduction to Mathematical Physiology and Biology* is criticized for its narrow focus on the author's research area, particularly the heart, and its lack of depth in more complex biological interactions. While some chapters, such as the one on dimension analysis, are well-received, the overall content is deemed too specialized and shallow for a broader audience. The reviewer concludes that *The Theory of Evolution and Dynamical Systems* is the best choice for students and researchers looking to explore the intersection of sophisticated mathematics and biology.
Reach us at info@study.space