This book is a translation of an authoritative introductory text based on a lecture series delivered by the renowned differential geometer, professor s s chern in beijing university in 1980. Geometric structures and their equivalence problems. Chern, the fundamental objects of study in differential geometry are manifolds. A first course in curves and surfaces preliminary version summer, 2016 theodore shifrin university of georgia dedicated to the memory of shiing shen chern, my adviser and friend c 2016 theodore shifrin no portion of this work may be reproduced in any form without written permission of the author, other than. Chernpohl monograph mathematics january 29, 2003 springer berlin heidelberg newyork barcelona hongkong london milan paris tokyo. Chern was indeed one of the central figures of twentieth century mathematics and is counted as nothing less than the main architect of modern differential geometry in the wake of elie cartan. For instance, everybody has to study point set topology, shiing shen chern photography by peg skorpinski. That is, the theory forms a bridge between the areas of algebraic topology and differential geometry. Complex manifolds without potential theory springerlink. Lectures on chernweil theory and witten deformations. It was almost a century ago, in 1872, that felix klein formulated his erlanger program. Interview with shiing shen chern american mathematical. Contains sections on complex differential geometry, partial differential equations, homogeneous spaces, relativity.
This volume presents two sets of neverbeforepublished notes from lectures given by s. Lectures on differential geometry by shiingshen chern. Lam this book is a translation of an authoritative introductory text based on a lecture series delivered by the renowned differential geometer, professor s s chern in beijing university in 1980. Chern was a member in the school of mathematics at the institute for advanced study on numerous occasions beginning in. A first course in curves and surfaces preliminary version summer, 2016 theodore shifrin university of georgia dedicated to the memory of shiingshen chern, my adviser and friend c 2016 theodore shifrin no portion of this work may be reproduced in any form without written permission of the author, other than. This invaluable book is based on the notes of a graduate course on differential geometry which the author gave at the nankai institute of mathematics. According to our current online database, shiing shen chern has 43 students and 1 descendants. Chern pohl monograph mathematics january 29, 2003 springer berlin heidelberg newyork barcelona hongkong london milan paris tokyo. Shiingshen chern also spelled chen xingshen was born in jiaxing, zhejiang province, china, 50 miles southwest of shanghai, on oct. Shiing shen chern 19112004 is considered a father of modern differential geometry.
Lectures on differential geometry series on university mathematics, volume 1 by chern, shiing shen, chen, w. The set entitled differential manifolds gives a smooth and rapid introduction to differential manifolds and differential geometry, while the set entitled lectures on integral geometry is an accessible introduction to that subject. You see, mathematics goes in two different directions. I see it as a natural continuation of analytic geometry and calculus. The idea of unifying the geometries under the group concept is simple and attractive and its applications in the derivation of different geometrical theorems. The original chinese text, authored by professor chern and professor weihuan chen, was a unique contribution to the mathematics literature, combining. This theory was an important step in the theory of characteristic classes. He became interested in mathematics while in high school, and eventually majored in mathematics after enrolling in nankai university at the age of 15.
Many mathematicians consider shiingshen chern to be the outstanding contributor to research in differential geometry in the second half of the twentieth century. Pdf geometry part 2 download full pdf book download. Shiingshen chern, original name in chinese pinyin chen xingshen or wadegiles chen hsingshen, born october 26, 1911, jiaxing, chinadied december 3, 2004, tianjin, chinese american mathematician and educator whose researches in differential geometry developed ideas that now play a major role in mathematics and in mathematical physics. Lectures on differential geometry shiingshen chern, wei. Many mathematicians consider shiing shen chern to be the outstanding contributor to research in differential geometry in the second half of the twentieth century. Shiing shen chern, geometry of a quadratic differential form, journal of the society for industrial and applied mathematics 1962 shiing shen chern, on the euclidean connections in a finsler space, proceedings of the national academy of sciences 1943. He made fundamental contributions to differential geometry and topology. Complex manifolds without potential theory with an. Lectures on differential geometry series on university mathematics, volume 1 by chern, shiingshen, chen, w. Pdf differential geometry download full pdf book download. Interview with shiing shen chern american mathematical society. The biographical documentary follows shiing shen chern through many of the most dramatic events of the 20th century, portraying a man who dedicated his life to pure mathematics with the style of a classical chinese sage. The differential geometrical methods of this theory were developed essentially under the influence of professor s. So, indeed, this is ultimately differential geometry with a vengeance.
In the spring of 2005, the journal of differential geometry conference, held annually at harvard university, was dedicated in his honor, and attended by. The life and mathematics of shiingshen chern dedicated to s. The book is warmly recommended to everyone interested in complex differential geometry. Chern for the celebration of his 79th birthday richard s. Chern shiing shen chern, peking university, china, 29 aug 3 sept 1999. The new methods of complex manifold theory are very useful tools for investigations in algebraic geometry, complex function theory, differential operators and so on. Chern was a member in the school of mathematics at the institute for advanced study on numerous occasions beginning in 1943 through 1964. Shiingshen chern mathematician 19112004, born in china and later acquiring u. October 28, 1911 december 3, 2004 was a chineseamerican mathematician and poet. Complex manifolds without potential theory with an appendix. Shiingshen chern the mathematics genealogy project. He has been called the father of modern differential geometry and is widely regarded as a leader in geometry and one of.
Their combined citations are counted only for the first article. It provides some basic equipment, which is indispensable in many areas of mathematics e. Geometry and topology of submanifolds 10, differential geometry in honor of prof. This collection of 118 of his papers is an appropriate tribute to him and his work. Shiingshen chern, a mathematician whose seemingly purely abstract discoveries about the twistings of geometric surfaces have found wide use in physics and mathematics, died friday at his home. Shiingshen chern american mathematician britannica. Because of this feature it fits well with field theory in physics. Lectures on differential geometry shiingshen chern, w. Lam this is a translation of an introductory text based on a lecture series delivered by the renowned differential geometer, professor s. This barcode number lets you verify that youre getting. If you have additional information or corrections regarding this mathematician, please use the update form. Geometry and physics shiingshen chern university of california berkeley, u.
He was regarded as one of the leaders in differential geometry of the twentieth century. Studies in global geometry and analysis by chern, shiingshen, 1911. He became interested in mathematics while in high school, and eventually majored in mathematics after enrolling in. Shiingshen chern october 26, 1911 december 3, 2004 was a chineseborn american mathematician. Lectures on differential geometry shiingshen chern, weihuan chen, k.
Lectures on differential geometry volume 1 of series on university mathematics volume 1 of world scientific series on university mathematics. The biographical documentary follows shiingshen chern through many of the most dramatic events of the 20th century, portraying a man who dedicated his life to pure mathematics with the style of a classical chinese sage. Lectures on differential geometry shiingshen chern. A comment about the nature of the subject elementary di. Di erential geometry of curves and surfaces, 1st edition. The main characteristic of this geometry is that it is local. It was developed in the late 1940s by shiingshen chern and andre weil, in the wake of proofs of the generalized gaussbonnet theorem. Click download or read online button to get topics on differential geometry book now. Shiing shen chern also spelled chen xingshen was born in jiaxing, zhejiang province, china, 50 miles southwest of shanghai, on oct. This book studies the differential geometry of surfaces with the goal of helping students make the transition from the compartmentalized courses in a standard university curriculum to a type of mathematics that is a unified whole, it mixes geometry, calculus, linear algebra, differential equations, complex variables, the calculus of variations. Lectures on differential geometry by chern, shiingshen, 1911.
According to our current online database, shiingshen chern has 43 students and 1 descendants. Topics in differential geometry shiing shen chern download bok. Chern shiingshen chern, peking university, china, 29 aug 3 sept 1999. Thomas bancho, shiingshen chern, and william pohl di erential geometry of curves and surfaces, 1st edition spin c346 di erential geometry bancho chernpohl monograph mathematics july 17, 2002 springer berlin heidelberg newyork barcelona hongkong london milan paris tokyo. Topics on differential geometry download ebook pdf, epub. This site is like a library, use search box in the widget to get ebook that you want. Surveys in differential geometry x preface a venerated leader in the field of geometry and a beloved teacher, professor shiing shen chern passed away in 2004, at the age of 93. A great geometer of 20th century 3 theprincipleofequivalence1 isalsothesameguidingprinciplethatlaidthefoundation. Lectures on differential geometry series on university. A first course in curves and surfaces preliminary version spring, 2010 theodore shifrin university of georgia dedicated to the memory of shiingshen chern, my adviser and friend c 2010 theodore shifrin no portion of this work may be reproduced in any form without written permission of the author. Shiingshen chern 19112004 was a chinese mathematician internationally recognized as the foremost differential geometer of his time. Many mathematicians consider shiingshen chern to be the outstanding contributor to research in di. Shiingshen chern 19112004 is considered a father of modern differential geometry.
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