Number of the records: 1
Elementary differential geometry
Title statement Elementary differential geometry / Christian Bär Personal name Bär, Christian (author) Publication Cambridge ; New York : Cambridge University Press, [2010] Copyright notice date ©2010 Phys.des. 1 online zdroj (xii, 317 stran) : ilustrace ISBN 9780511729775 (online ; pdf) 0511729774 9780511726484 0511726481 9780511727870 0511727879 9780511844843 0511844840 Internal Bibliographies/Indexes Note Obsahuje bibliografické odkazy a rejstřík Contents Euclidean geometry -- Curve theory -- Classical surface theory -- The inner geometry of surfaces -- Geometry and analysis -- Geometry and topology -- Appendix A. Hints for solutions to (most) exercises -- Appendix B. Formulary -- Appendix C. List of symbols. Notes to Availability Přístup pouze pro oprávněné uživatele Note Způsob přístupu: World Wide Web Defekty eBooks on EBSCOhost Subj. Headings diferenciální geometrie differential geometry Form, Genre elektronické knihy electronic books Conspect 514 - Geometrie UDC 514.7 , (0.034.2:08) Country Velká Británie ; Spojené státy americké Language angličtina Document kind Electronic sources URL http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=317645 book
"The link between the physical world and its visualization is geometry. This easy-to-read, generously illustrated textbook presents an elementary introduction to differential geometry with emphasis on geometric results. Avoiding formalism as much as possible, the author harnesses basic mathematical skills in analysis and linear algebra to solve interesting geometric problems, which prepare students for more advanced study in mathematics and other scientific fields such as physics and computer science. The wide range of topics includes curve theory, a detailed study of surfaces, curvature, variation of area and minimal surfaces, geodesics, spherical and hyperbolic geometry, the divergence theorem, triangulations, and the Gauss-Bonnet theorem. The section on cartography demonstrates the concrete importance of elementary differential geometry in applications. Clearly developed arguments and proofs, colour illustrations, and over 100 exercises and solutions make this book ideal for courses and self-study. The only prerequisites are one year of undergraduate calculus and linear algebra"--Provided by publisher.
Euclidean geometry -- Curve theory -- Classical surface theory -- The inner geometry of surfaces -- Geometry and analysis -- Geometry and topology -- Appendix A. Hints for solutions to (most) exercises -- Appendix B. Formulary -- Appendix C. List of symbols.
Number of the records: 1