SIAM Review, Volume 64, Issue 1, Page 215-225, February 2022.
By now, we have all become somewhat accustomed to COVID-19. So it is a good time to read an introduction to epidemiological dynamics from a mathematical perspective. Our first featured review examines in detail Igor Nesteruk's introductory book COVID-19 Pandemic Dynamics: Mathematical Simulations. Aspects such as the $R_0$ value, SIR model, and herd immunity play a role in it. For our reviewer Chris Bauch, this book could include more detailed models, but on the other hand he believes “the book's lucid approach with in-depth country case studies will be helpful for learning more about applying mathematical models to inform pandemic response.” In Kevin Painter's review of the book Non-local Cell Adhesion Models, by Andreas Buttenschön and Thomas Hillen, we continue with biological models. Non-local models are in vogue right now, and this book shows a very interesting application area that poses great challenges to mathematical analysis. Subsequently, Karl Johan \AAström and Richard M. Murray's book on Feedback Systems: An Introduction for Scientists and Engineers is praised by reviewer Mario di Bernardo as “one of the best introductions to the analysis and design of feedback systems” available. The fourth review is written by our Senegalese colleague Diaraf Seck. As an internationally recognized expert on shape and topology optimization, he reviews the book Shapes and Diffeomorphisms, by Laurent Younes, praising it and sharing the author's fascination with the subject. Finally, the last two books deal again with modeling issues: Pablo Raúl Stinga reviews Ciprian G. Gal and Mahamadi Warma's book, Fractional-in-Time Semilinear Parabolic Equations and Applications, which he recommends to every researcher or graduate student. Finally, Robert Marangell reviews PDE Dynamics: An Introduction, by Christian Kuehn, and recommends it as a “nice book to use as the starting point for a course.”

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书评

SIAM 评论，第 64 卷，第 1 期，第 215-225 页，2022 年 2 月。
到目前为止，我们都已经有点习惯了 COVID-19。因此，现在是从数学角度阅读流行病学动态介绍的好时机。我们的第一篇专题评论详细检查了 Igor Nesteruk 的入门书籍 COVID-19 大流行动力学：数学模拟。$R_0$ 值、SIR 模型和群体免疫等方面在其中发挥了作用。对于我们的审稿人 Chris Bauch 而言，这本书可能包含更详细的模型，但另一方面，他认为“这本书采用深入的国家案例研究的清晰方法将有助于了解更多有关应用数学模型为大流行应对提供信息的知识。” 在 Kevin Painter 对 Andreas Buttenschön 和 Thomas Hillen 所著《非局部细胞粘附模型》一书的评论中，我们继续使用生物模型。非本地模型现在很流行，这本书展示了一个非常有趣的应用领域，它对数学分析提出了巨大的挑战。随后，Karl Johan \AAström 和 Richard M. Murray 的《反馈系统：科学家和工程师介绍》一书被评论家 Mario di Bernardo 称赞为“反馈系统分析和设计的最佳介绍之一”。第四篇评论由我们的塞内加尔同事 Diaraf Seck 撰写。作为国际公认的形状和拓扑优化专家，他回顾了 Laurent Younes 所著的《Shapes and Diffeomorphisms》一书，对其赞不绝口，并分享了作者对该主题的迷恋。最后，最后两本书再次涉及建模问题：Pablo Raúl Stinga 评论了 Ciprian G. Gal 和 Mahamadi Warma 的书，Fractional-in-Time Semilinear Parabolic Equations and Applications，他向每一位研究人员或研究生推荐。最后，Robert Marangell 评论了 Christian Kuehn 的 PDE Dynamics: An Introduction，并推荐它作为“作为课程起点的好书”。