{"product_id":"introduction-to-differential-geometry-for-engineers-9780486488165","title":"Introduction to Differential Geometry for Engineers","description":"\u003ch2\u003eDifferential Geometry Textbook for Engineering Applications\u003c\/h2\u003e\n\n\u003cp\u003eThis Dover Publications textbook bridges the gap between advanced mathematics and practical engineering applications. Written by Brian F. Doolin, a NASA Control Theory and Applications Group leader, and Clyde F. Martin, Paul Whitfield Horn Professor of Mathematics at Texas Tech University, this book provides engineers with essential tools from modern global differential geometry.\u003c\/p\u003e\n\n\u003ch2\u003eCore Mathematical Concepts Covered\u003c\/h2\u003e\n\n\u003cp\u003eThe text systematically introduces fundamental notions of manifolds, tangent spaces, and vector fields. Engineers working in control systems, aerospace applications, and advanced mathematical modeling will find the treatment of these topics directly applicable to their work. The book examines Lie theory of differential equations, a critical framework for understanding symmetries and transformations in engineering systems.\u003c\/p\u003e\n\n\u003ch2\u003eControl Systems and Grassmannians\u003c\/h2\u003e\n\n\u003cp\u003eA distinctive feature of this textbook is its examination of Grassmannians in control systems analysis. This advanced topic connects differential geometry to practical control theory problems encountered in aerospace engineering and systems design. The mathematical framework presented enables engineers to approach complex control problems with rigorous geometric methods.\u003c\/p\u003e\n\n\u003ch2\u003ePractical Engineering Perspective\u003c\/h2\u003e\n\n\u003cp\u003eUnlike purely theoretical mathematics texts, this book maintains focus on engineering terminology and applications. The authors' backgrounds at NASA and Lockheed inform the presentation, ensuring concepts remain relevant to working engineers. The 1990 edition represents a mature treatment of these topics, refined through years of application in aerospace and control systems contexts.\u003c\/p\u003e\n\n\u003ch2\u003eGraduate-Level Technical Reference\u003c\/h2\u003e\n\n\u003cp\u003eDesigned for graduate-level study and professional reference, this paperback serves as both an introduction to differential geometry concepts and a technical resource for ongoing work. Engineers in STEM fields requiring advanced mathematical tools will find this Dover Books on Engineering title an accessible entry point to sophisticated geometric methods.\u003c\/p\u003e\n\n\u003cp\u003eThe text's systematic approach to Lie theory, manifolds, and control systems makes it valuable for aerospace engineers, control systems specialists, and applied mathematicians working at the intersection of geometry and engineering practice.\u003c\/p\u003e\n\n\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAbout the Author\u003c\/b\u003e\u003cbr\u003eBrian F. Doolin (1925-2009) was an engineer with NASA as well as Lockheed. At NASA he was a leader of the Control Theory and Applications Group.\u003cbr\u003eClyde F. Martin is Paul Whitfield Horn Professor of Mathematics at Texas Tech University.","brand":"Dover Publications","offers":[{"title":"Default Title","offer_id":50680629461266,"sku":"9780486488165","price":10.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0831\/4771\/8930\/files\/img_78e1eaf7-9adc-4047-9e1b-2ab19b9d3a14.jpg?v=1734923495","url":"https:\/\/surprise-castle.myshopify.com\/products\/introduction-to-differential-geometry-for-engineers-9780486488165","provider":"Surprise Castle","version":"1.0","type":"link"}