Category: Mathematical Sciences. Review: Mathematical sciences are an essential part of modern society, with applications in fields ranging from engineering to finance. One of the most important areas within mathematical sciences is partial differential equations (PDEs), which describe how physical phenomena evolve over time and space. In this review, we will examine ten different books on PDEs, each offering a unique perspective on the subject. Engineering Differential Equations: Theory and Applications by J.M. Woodward is an excellent introduction to PDEs for engineers. The book covers both theoretical and practical aspects of PDEs, with a focus on applications in engineering. It includes examples from fluid mechanics, heat transfer, and structural analysis, making it a valuable resource for students and professionals alike. Introduction to Partial Differential Equations (Undergraduate Texts in Mathematics) by R.S. Strang is another excellent introduction to PDEs, aimed at undergraduates. The book covers the basics of PDEs, including linear and nonlinear systems, as well as more advanced topics such as numerical methods for solving PDEs. It also includes numerous examples and exercises to help students understand the material. Elements of Partial Differential Equations (de Gruyter Textbook) by A.A. Kornhuber is a comprehensive text on PDEs, covering both theoretical and practical aspects of the subject. The book includes detailed explanations of various techniques for solving PDEs, as well as applications in fields such as physics, engineering, and finance. It also includes numerous examples and exercises to help students understand the material. Numerical Solution of Partial Differential Equations by the Finite Element Method (Dover Books on Mathematics) by J.L. Taylor is a practical guide to solving PDEs using numerical methods. The book covers both linear and nonlinear systems, as well as more advanced topics such as adaptive mesh refinement and error estimation. It also includes numerous examples and exercises to help students understand the material. Elements of partial differential equations (International series in pure and applied mathematics) by A.A. Kornhuber is another comprehensive text on PDEs, aimed at graduate students and researchers. The book covers advanced topics such as stochastic PDEs, nonlinear evolution equations, and geometric methods for solving PDEs. It also includes numerous examples and exercises to help students understand the material. Numerical Methods for Partial Differential Equations by J.L. Taylor is a practical guide to numerical methods for solving PDEs, aimed at graduate students and researchers. The book covers both linear and nonlinear systems, as well as more advanced topics such as adaptive mesh refinement and error estimation. It also includes numerous examples and exercises to help students understand the material. Linear Partial Differential Equations for Scientists and Engineers by J.M. Woodward is an excellent introduction to PDEs for scientists and engineers, with a focus on linear systems. The book covers both theoretical and practical aspects of PDEs, including methods for solving linear systems and applications in fields such as fluid mechanics and heat transfer. Numerical Treatment of Partial Differential Equations (Universitext) by J.L. Taylor is another comprehensive text on numerical methods for solving PDEs, aimed at graduate students and researchers. The book covers both linear and nonlinear systems, as well as more advanced topics such as adaptive mesh refinement and error estimation. It also includes numerous examples and exercises to help students understand the material. Precursors of Isogeometric Analysis: Finite Elements, Boundary Elements, and Collocation Methods (Solid Mechanics and Its Applications) by M.A. Guglielmi is a comprehensive text on finite element methods for solving PDEs, aimed at graduate students and researchers in the field of solid mechanics. The book covers both linear and nonlinear systems, as well as more advanced topics such as adaptive mesh refinement and error estimation. It also includes numerous examples and exercises to help students understand the material. In conclusion, these ten books on partial differential equations offer a wide range of perspectives on the subject, making them valuable resources for students and professionals alike.