Mathematics for Biomedical Applications

Mathematics for Biomedical Applications bridges the gap between introductory calculus and advanced mathematical techniques, offering a practical framework for biomedical students and professionals. Originating from a course developed in Stanford University's Cardiology Division, this text equips readers with the tools to model, analyze, and solve real-world biomedical problems using applied mathematics. The author prioritizes a pragmatic approach, ensuring that even a traditionally skeptical audience finds value in the mathematical concepts presented. The book begins by formulating biomedical problems into differential equations, gradually building to solutions using direct methods and advanced techniques like the Laplace transform and Fourier analysis. It integrates these mathematical tools into biological contexts, such as signal processing, to demonstrate their relevance. The inclusion of numerical methods and guidance for interpreting algorithms provides a stepping stone for readers to delve into more specialized texts or computational tools. Supplementary appendices review calculus basics, properties of complex numbers, and key integral tables, making this a comprehensive yet accessible resource for students aiming to integrate mathematical rigor into their biomedical expertise. This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1979.