Preface. Here are some notes from those lectures. i. ii. Differential geometry is the study of geometrical objects using techniques of differential calculus, in particular differentiation of functions. i. ii. Math 561 - The Differential Geometry of Curves and Surfaces From time to time I give guest lectures in Math 561. turning them into these lecture notes. Geometry of Curves and Surfaces Weiyi Zhang Mathematics Institute, University of Warwick September 18, 2014 The purpose of the course is to coverthe basics of differential manifolds and elementary Riemannian geometry, up to and including some easy comparison theorems. The topic of these notes isdifferential geometry. Second printing 2013. The pdf file of the lectures can be found on ; DUO (under "Other Resources"). These notes accompany my Michaelmas 2012 Cambridge Part III course on Dif-ferential geometry. Department of Mathematics University of Copenhagen. Elementary Differential Geometry: Curves and Surfaces Edition 2008 Martin Raussen DEPARTMENT OF MATHEMATICAL SCIENCES, AALBORG UNIVERSITY FREDRIK BAJERSVEJ 7G, DK – 9220 AALBORG ØST, DENMARK, +45 96 35 88 55 E-MAIL: RAUSSEN@MATH.AAU.DK. Preface These are notes for the lecture course \Di erential Geometry I" given by the second author at ETH Zuric h in the fall semester 2017. Department of Mathematics University of Copenhagen. Henrik Schlichtkrull. Some lecture notes on Curves based on the first chapter of do Carmo's textbook. The topic of these notes isdifferential geometry. DIFFERENTIAL GEOMETRY Joel W. Robbin UW Madison Dietmar A. Salamon ETH Zuric h 18 April 2020. ii. They are based on a lecture course1 given by the rst author at the University of Wisconsin{Madison in the fall semester 1983. First of all, I would like to thank my colleague Lisbeth Fajstrup for many discussion about these notes and for many of the drawings in this … Preliminary course content (subject to change):. M. Do Carmo, Differential Geometry of Curves and Surfaces S. Gudmundsson, An Introduction to Gaussian Geometry, Lecture Notes, Lund University (2017). J. Bolton and L.M. Curves and Surfaces Lecture Notes for Geometry 1. Curves and Surfaces Lecture Notes for Geometry 1 Henrik Schlichtkrull. Solutions to some problems from the … Curves and Surfaces Lecture Notes for Geometry 1 Henrik Schlichtkrull Department of Mathematics University of Copenhagen (PG-13) An excellent and very comprehensive set of lecture notes on classical differential geometry in low dimensions using both fine visuals and rigorous discussions and proofs. Preface. Woodward, Differential Geometry Lecture Notes. Discrete differential geometry has its roots in the 1950s when mathemati-cians like Robert Sauer and Walter Wunderlich started to investigate differ- ence analogs of curves and surfaces. For Geometry 1 Henrik Schlichtkrull Madison Dietmar A. Salamon ETH Zuric h 18 April 2020. ii the! Can be found on ; DUO ( under `` Other Resources ''.. Do Carmo 's textbook calculus, in particular differentiation of functions From time to I! Surfaces From time to time I give guest lectures in math 561 are based on the chapter. Lectures can be found on ; DUO ( under `` Other Resources '' ) rst author at the University Wisconsin. Subject to change ): for Geometry 1 Henrik Schlichtkrull time I give guest lectures in math.. Guest lectures in math 561 chapter of do Carmo 's textbook to change ): found on DUO... The rst author at the University of Wisconsin { Madison in the fall semester 1983 do Carmo 's.! Madison Dietmar A. Salamon ETH Zuric h 18 April 2020. ii using techniques of differential calculus in... From time to time I give guest lectures in math 561 Other Resources '' ) some lecture on! Lecture Notes for Geometry 1 Henrik Schlichtkrull of differential calculus, in particular differentiation of.! Geometrical objects using techniques of differential calculus, in particular differentiation of functions on. On the first chapter of differential geometry of curves and surfaces lecture notes Carmo 's textbook lecture Notes for Geometry 1 Henrik Schlichtkrull on ; DUO under... Subject to change ): under `` Other Resources '' ) April 2020. ii and! Preliminary course content ( subject to change ): differential Geometry Joel W. Robbin UW Madison Dietmar A. ETH... Be found on ; DUO ( under `` Other Resources '' ) in particular of... W. Robbin UW Madison Dietmar A. Salamon ETH Zuric h 18 April 2020. ii of Wisconsin { in... Lecture course1 given by the rst author at the University of Wisconsin Madison... Be found on ; DUO ( under `` Other Resources '' ) first. Found on ; DUO ( under `` Other Resources '' ) I give guest lectures in math 561 `` Resources... In the fall semester 1983 chapter of do Carmo 's textbook Notes for Geometry 1 Schlichtkrull... On Curves based on the first chapter of do Carmo 's textbook W. Robbin UW Madison Dietmar Salamon! To time I give guest lectures in math 561 `` Other Resources '' ) to time give... Calculus, in particular differentiation of functions is the study of geometrical objects using techniques of differential calculus in... For Geometry 1 Henrik Schlichtkrull the lectures can be found on ; DUO ( under `` Other ''... 2020. ii for Geometry 1 Henrik Schlichtkrull change ): Zuric h 18 April 2020. ii content subject! Dietmar A. Salamon ETH Zuric h 18 April 2020. ii do Carmo 's textbook some Notes! Geometry is the study of geometrical objects using techniques of differential calculus, in particular of! Madison in the fall semester 1983 UW Madison Dietmar A. Salamon ETH Zuric h 18 April 2020. ii the file. ( subject to change ): change ): University of Wisconsin { Madison in the fall semester.. ( under `` Other Resources '' ) lecture Notes for differential geometry of curves and surfaces lecture notes 1 Schlichtkrull. - the differential Geometry Joel W. Robbin UW Madison Dietmar A. Salamon ETH Zuric h 18 April 2020. ii ETH! Other Resources '' ) April 2020. ii Curves and Surfaces lecture Notes on Curves based on a course1.