The "Undergraduate Texts in Mathematics" series, edited by Sheldon Axler and Kenneth Ribet, is designed for third- and fourth-year undergraduate mathematics students at North American universities. These texts aim to provide new perspectives and novel approaches, emphasizing the interrelations among different aspects of the subject. They include motivating examples and exercises to enhance understanding. The book "Differential Geometry of Curves and Surfaces" by Kristopher Tapp is part of this series. It covers the differential geometry of curves and surfaces, blending calculus, linear algebra, and real analysis. The book is structured to be accessible to a wide range of readers, from beginners to those preparing for graduate studies in math or physics. It features over 300 color illustrations and numerous applications, such as cartography, pendulums, and modern physics, to make abstract concepts more tangible. The prerequisites for the book include a one-semester course in multivariable calculus, linear algebra, and real analysis, with brief overviews provided in the text and an appendix on topology.The "Undergraduate Texts in Mathematics" series, edited by Sheldon Axler and Kenneth Ribet, is designed for third- and fourth-year undergraduate mathematics students at North American universities. These texts aim to provide new perspectives and novel approaches, emphasizing the interrelations among different aspects of the subject. They include motivating examples and exercises to enhance understanding. The book "Differential Geometry of Curves and Surfaces" by Kristopher Tapp is part of this series. It covers the differential geometry of curves and surfaces, blending calculus, linear algebra, and real analysis. The book is structured to be accessible to a wide range of readers, from beginners to those preparing for graduate studies in math or physics. It features over 300 color illustrations and numerous applications, such as cartography, pendulums, and modern physics, to make abstract concepts more tangible. The prerequisites for the book include a one-semester course in multivariable calculus, linear algebra, and real analysis, with brief overviews provided in the text and an appendix on topology.