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Noel J. Hicks Notes on Differential Geometry with 25 Ągures and 100 problems p = exp sY γ(a) U γ(t) Y φ γ(t) p X R2 (t,s) geodesic a (t,0) b γ(b) Revised and modernized edition by T Xromancers E T Xromancers E Acollaborative typesetting project Thisbookistheproductofacommunityeffort. ItwastypesetbyT Xromancers: E an enthusiast group of mathematicians (for the most part), consisting of people organized on Discord. The reader should contact amanzoo1@asu.edu if they are interested in joining the group. Link to the group’s page: https://aareyanman zoor.github.io/Texromancers.html. More books in this series: • J. F Adams, Stable Homotopy and Generalised Homology ś Available at https://people.math.rochester.edu/faculty/doug /otherpapers/Adams-SHGH-latex.pdf • Noel J. Hicks, Notes on Differential Geometry ś Available at https://aareyanmanzoor.github.io/assets/hicks. pdf • Hideyuki Matsumura, Commutative Algebra ś https://aareyanmanzoor.github.io/assets/matsumura-CA.pdf • John Milnor and James Stasheff, Characteristic Classes ś Available at https://aareyanmanzoor.github.io/assets/books/ characteristic-classes.pdf Noel J. Hicks Notes on Differential Geometry Revised and modernized edition by T Xromancers E Typeset by T Xromancers. E This digital book is meant for educational and scholarly purposes only, itself being a derivative work containing a transcription of a copyrighted publication. We claim no ownership of the original work’s contents; all rights to the original book’s contents belong to the respective publisher. We believe that our use of the original work constitutes fair use, as deőned under section 107 of the United States Copyright Act of 1976, wherein allowance is made for łfair usež for purposes such as criticism, comment, news reporting, teaching, scholarship, education and research. Commercialization of this digital book is prohibited. Original edition: 1965 This edition: 2022
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