Lefschetz, Solomon 18841972
Overview
Works:  261 works in 1,124 publications in 7 languages and 17,666 library holdings 

Genres:  Conference papers and proceedings History 
Roles:  Author, Editor, Translator, Honoree, Other, Dedicatee, Publishing director, Author of introduction 
Classifications:  QA611, 513.83 
Publication Timeline
.
Most widely held works about
Solomon Lefschetz
 Algebraic geometry and topology : a symposium in honor of S. Lefschetz by Ralph H Fox( )
 The Lefschetz Centennial Conference : proceedings of the Lefschetz Centennial Conference held December 1014, 1984 by Lefschetz Centennial Conference( Book )
 The influence of Solomon Lefschetz in geometry and topology : 50 years of mathematics at CINVESTAV by Ludmil Katzarkov( Book )
 The Lefschetz Centennial Conference. held December 1014, 1984 by Lefschetz Centennial Conference( )
 The Lefschetz Centennial Conference. held December 1014, 1984 by D Sundararaman( )
 The Lefschetz Centennial Conference : proceedings of the Lefschetz Centennial Conference held December 1014, 1984 by Lefschetz Centennial Conference( Book )
 Oral history interview with Albert W. Tucker by Albert W Tucker( )
 The Lefschetz centennial conference : Proceedings of the Lefschetz centennial conference held December 1014, 1984.( Book )
 Oral history interview with Louis Witten by Louis Witten( )
 Oral history interview with Ralph Gomory by Ralph E Gomory( )
 Oral history interview with Guido Münch by Guido Münch( )
 Lefschetz, Solomon( )
 Solomon Lefschetz (18841972) by W. V. D Hodge( Book )
 Computing topological dynamics from time series by Mark Wess( )
 Wilder, Raymond Louis, papers by Raymond Louis Wilder( )
 Department of Mathematics Oral History Project records by Princeton University( )
 The Lefschetz Centennial Conference. held December 1014, 1984 by Lefschetz Centennial Conference( )
 Moore, R.L., Papers by R. L Moore( )
 Algebraic geometry and topology: a symposium in honor of S. Lefschetz, ed. by Princeton University( Book )
 Solomon Lefschetz  September 3, 1884October 5, 1972 by Phillip Griffiths( Book )
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Most widely held works by
Solomon Lefschetz
Introduction to topology by
Solomon Lefschetz(
Book
)
49 editions published between 1945 and 2016 in English and Undetermined and held by 1,819 WorldCat member libraries worldwide
In this book, which may be used as a selfcontained text for a beginning course, Professor Lefschetz aims to give the reader a concrete working knowledge of the central concepts of modern combinatorial topology: complexes, homology groups, mappings in spheres, homotopy, transformations and their fixed points, manifolds and duality theorems. Each chapter ends with a group of problems.Originally published in 1949.The Princeton Legacy Library uses the latest printondemand technology to again make available previously outofprint books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905
49 editions published between 1945 and 2016 in English and Undetermined and held by 1,819 WorldCat member libraries worldwide
In this book, which may be used as a selfcontained text for a beginning course, Professor Lefschetz aims to give the reader a concrete working knowledge of the central concepts of modern combinatorial topology: complexes, homology groups, mappings in spheres, homotopy, transformations and their fixed points, manifolds and duality theorems. Each chapter ends with a group of problems.Originally published in 1949.The Princeton Legacy Library uses the latest printondemand technology to again make available previously outofprint books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905
Stability of nonlinear control systems by
Solomon Lefschetz(
)
31 editions published between 1965 and 1980 in 3 languages and held by 1,768 WorldCat member libraries worldwide
A concise picture of control stability is presented as it has developed from the method of hiapunov. Elementary work, dealing only with dimensions one and two, is presented first. The theory in the prePopov period is presented, with emphasis placed on vectors and matrices. Popov's contribution is presented along with his extensive use of Fourier transforms and advanced analysis. A theorem weaker than Kalman's completion of Popov's second theorem is presented. It rests upon an important lemma due to Yacubovich and its proof follows that of Kalman
31 editions published between 1965 and 1980 in 3 languages and held by 1,768 WorldCat member libraries worldwide
A concise picture of control stability is presented as it has developed from the method of hiapunov. Elementary work, dealing only with dimensions one and two, is presented first. The theory in the prePopov period is presented, with emphasis placed on vectors and matrices. Popov's contribution is presented along with his extensive use of Fourier transforms and advanced analysis. A theorem weaker than Kalman's completion of Popov's second theorem is presented. It rests upon an important lemma due to Yacubovich and its proof follows that of Kalman
Differential equations: geometric theory by
Solomon Lefschetz(
Book
)
72 editions published between 1957 and 2005 in 3 languages and held by 1,368 WorldCat member libraries worldwide
List of principal symbols
72 editions published between 1957 and 2005 in 3 languages and held by 1,368 WorldCat member libraries worldwide
List of principal symbols
Algebraic geometry by
Solomon Lefschetz(
Book
)
42 editions published between 1937 and 2016 in English and held by 916 WorldCat member libraries worldwide
This text for advanced undergraduate students is both an introduction to algebraic geometry and a bridge between its two partsthe analyticaltopological and the algebraic. Because of its extensive use of formal power series (power series without convergency), the treatment will appeal to readers conversant with analysis but less familiar with the formidable techniques of modern algebra.The book opens with an overview of the results required from algebra and proceeds to the fundamental concepts of the general theory of algebraic varieties: general point, dimension, function field, rational transformations, and correspondences. A concentrated chapter on formal power series with applications to algebraic varieties follows. An extensive survey of algebraic curves includes places, linear series, abelian differentials, and algebraic correspondences. The text concludes with an examination of systems of curves on a surface
42 editions published between 1937 and 2016 in English and held by 916 WorldCat member libraries worldwide
This text for advanced undergraduate students is both an introduction to algebraic geometry and a bridge between its two partsthe analyticaltopological and the algebraic. Because of its extensive use of formal power series (power series without convergency), the treatment will appeal to readers conversant with analysis but less familiar with the formidable techniques of modern algebra.The book opens with an overview of the results required from algebra and proceeds to the fundamental concepts of the general theory of algebraic varieties: general point, dimension, function field, rational transformations, and correspondences. A concentrated chapter on formal power series with applications to algebraic varieties follows. An extensive survey of algebraic curves includes places, linear series, abelian differentials, and algebraic correspondences. The text concludes with an examination of systems of curves on a surface
Stability by Liapunov's direct method, with applications by
Joseph P LaSalle(
Book
)
43 editions published between 1961 and 1973 in English and held by 802 WorldCat member libraries worldwide
43 editions published between 1961 and 1973 in English and held by 802 WorldCat member libraries worldwide
Topology by
Solomon Lefschetz(
Book
)
54 editions published between 1930 and 2012 in English and Undetermined and held by 768 WorldCat member libraries worldwide
Lefschetz's Topology was written in the period in between the beginning of topology, by Poincaré, and the establishment of algebraic topology as a wellformed subject, separate from pointset or geometric topology. At this time, Lefschetz had already proved his first fixedpoint theorems. In some sense, the present book is a description of the broad subject of topology into which Lefschetz's theory of fixed points fits. Lefschetz takes the opportunity to describe some of the important applications of his theory, particularly in algebraic geometry, to problems such as counting intersections of
54 editions published between 1930 and 2012 in English and Undetermined and held by 768 WorldCat member libraries worldwide
Lefschetz's Topology was written in the period in between the beginning of topology, by Poincaré, and the establishment of algebraic topology as a wellformed subject, separate from pointset or geometric topology. At this time, Lefschetz had already proved his first fixedpoint theorems. In some sense, the present book is a description of the broad subject of topology into which Lefschetz's theory of fixed points fits. Lefschetz takes the opportunity to describe some of the important applications of his theory, particularly in algebraic geometry, to problems such as counting intersections of
Algebraic topology by
Solomon Lefschetz(
Book
)
64 editions published between 1942 and 2004 in 4 languages and held by 720 WorldCat member libraries worldwide
64 editions published between 1942 and 2004 in 4 languages and held by 720 WorldCat member libraries worldwide
Lectures on differential equations by
Solomon Lefschetz(
Book
)
55 editions published between 1946 and 1985 in English and Undetermined and held by 667 WorldCat member libraries worldwide
55 editions published between 1946 and 1985 in English and Undetermined and held by 667 WorldCat member libraries worldwide
Introduction to nonlinear mechanics by
N. M Krylov(
Book
)
18 editions published between 1943 and 1970 in English and German and held by 659 WorldCat member libraries worldwide
18 editions published between 1943 and 1970 in English and German and held by 659 WorldCat member libraries worldwide
Topics in topology by
Solomon Lefschetz(
Book
)
32 editions published between 1942 and 2016 in English and Undetermined and held by 646 WorldCat member libraries worldwide
Solomon Lefschetz pioneered the field of topologythe study of the properties of many�sided figures and their ability to deform, twist, and stretch without changing their shape. According to Lefschetz, "If it's just turning the crank, it's algebra, but if it's got an idea in it, it's topology." The very word topology comes from the title of an earlier Lefschetz monograph published in 1920. In Topics in Topology Lefschetz developed a more indepth introduction to the field, providing authoritative explanations of what would today be considered the basic tools of algebraic topology. Lefschetz moved to the United States from France in 1905 at the age of twentyone to find employment opportunities not available to him as a Jew in France. He worked at Westinghouse Electric Company in Pittsburgh and there suffered a horrible laboratory accident, losing both hands and forearms. He continued to work for Westinghouse, teaching mathematics, and went on to earn a Ph. D. and to pursue an academic career in mathematics. When he joined the mathematics faculty at Princeton University, he became one of its first Jewish faculty members in any discipline. He was immensely popular, and his memory continues to elicit admiring anecdotes. Editor of Princeton University Press's Annals of Mathematics from 1928 to 1958, Lefschetz built it into a worldclass scholarly journal. He published another book, Lectures on Differential Equations, with Princeton in 1946
32 editions published between 1942 and 2016 in English and Undetermined and held by 646 WorldCat member libraries worldwide
Solomon Lefschetz pioneered the field of topologythe study of the properties of many�sided figures and their ability to deform, twist, and stretch without changing their shape. According to Lefschetz, "If it's just turning the crank, it's algebra, but if it's got an idea in it, it's topology." The very word topology comes from the title of an earlier Lefschetz monograph published in 1920. In Topics in Topology Lefschetz developed a more indepth introduction to the field, providing authoritative explanations of what would today be considered the basic tools of algebraic topology. Lefschetz moved to the United States from France in 1905 at the age of twentyone to find employment opportunities not available to him as a Jew in France. He worked at Westinghouse Electric Company in Pittsburgh and there suffered a horrible laboratory accident, losing both hands and forearms. He continued to work for Westinghouse, teaching mathematics, and went on to earn a Ph. D. and to pursue an academic career in mathematics. When he joined the mathematics faculty at Princeton University, he became one of its first Jewish faculty members in any discipline. He was immensely popular, and his memory continues to elicit admiring anecdotes. Editor of Princeton University Press's Annals of Mathematics from 1928 to 1958, Lefschetz built it into a worldclass scholarly journal. He published another book, Lectures on Differential Equations, with Princeton in 1946
Applications of algebraic topology : graphs and networks : the PicardLefschetz theory and Feynman integrals by
Solomon Lefschetz(
Book
)
20 editions published in 1975 in English and Undetermined and held by 643 WorldCat member libraries worldwide
This monograph is based, in part, upon lectures given in the Princeton School of Engineering and Applied Science. It presupposes mainly an elementary knowledge of linear algebra and of topology. In topology the limit is dimension two mainly in the latter chapters and questions of topological invariance are carefully avoided. From the technical viewpoint graphs is our only requirement. However, later, questions notably related to Kuratowski's classical theorem have demanded an easily provided treatment of 2complexes and surfaces. January 1972 Solomon Lefschetz 4 INTRODUCTION The study of electrical networks rests upon preliminary theory of graphs. In the literature this theory has always been dealt with by special ad hoc methods. My purpose here is to show that actually this theory is nothing else than the first chapter of classical algebraic topology and may be very advantageously treated as such by the well known methods of that science. Part I of this volume covers the following ground: The first two chapters present, mainly in outline, the needed basic elements of linear algebra. In this part duality is dealt with somewhat more extensively. In Chapter III the merest elements of general topology are discussed. Graph theory proper is covered in Chapters IV and v, first structurally and then as algebra. Chapter VI discusses the applications to networks. In Chapters VII and VIII the elements of the theory of 2dimensional complexes and surfaces are presented
20 editions published in 1975 in English and Undetermined and held by 643 WorldCat member libraries worldwide
This monograph is based, in part, upon lectures given in the Princeton School of Engineering and Applied Science. It presupposes mainly an elementary knowledge of linear algebra and of topology. In topology the limit is dimension two mainly in the latter chapters and questions of topological invariance are carefully avoided. From the technical viewpoint graphs is our only requirement. However, later, questions notably related to Kuratowski's classical theorem have demanded an easily provided treatment of 2complexes and surfaces. January 1972 Solomon Lefschetz 4 INTRODUCTION The study of electrical networks rests upon preliminary theory of graphs. In the literature this theory has always been dealt with by special ad hoc methods. My purpose here is to show that actually this theory is nothing else than the first chapter of classical algebraic topology and may be very advantageously treated as such by the well known methods of that science. Part I of this volume covers the following ground: The first two chapters present, mainly in outline, the needed basic elements of linear algebra. In this part duality is dealt with somewhat more extensively. In Chapter III the merest elements of general topology are discussed. Graph theory proper is covered in Chapters IV and v, first structurally and then as algebra. Chapter VI discusses the applications to networks. In Chapters VII and VIII the elements of the theory of 2dimensional complexes and surfaces are presented
International Symposium on Nonlinear Differential Equations and Nonlinear Mechanics; [proceedings] by
Joseph P LaSalle(
Book
)
16 editions published between 1961 and 1965 in English and Italian and held by 487 WorldCat member libraries worldwide
International Symposium on Nonlinear Differential Equations and Nonlinear Mechanics
16 editions published between 1961 and 1965 in English and Italian and held by 487 WorldCat member libraries worldwide
International Symposium on Nonlinear Differential Equations and Nonlinear Mechanics
Contributions to the theory of nonlinear oscillations by
Solomon Lefschetz(
Book
)
6 editions published in 1950 in English and held by 459 WorldCat member libraries worldwide
6 editions published in 1950 in English and held by 459 WorldCat member libraries worldwide
Recent Soviet contributions to mathematics by
Joseph P LaSalle(
Book
)
15 editions published between 1962 and 1963 in English and held by 452 WorldCat member libraries worldwide
15 editions published between 1962 and 1963 in English and held by 452 WorldCat member libraries worldwide
Theory of oscillations by
A. A Andronov(
Book
)
24 editions published between 1949 and 1992 in English and Italian and held by 430 WorldCat member libraries worldwide
24 editions published between 1949 and 1992 in English and Italian and held by 430 WorldCat member libraries worldwide
Selected papers by
Solomon Lefschetz(
Book
)
20 editions published in 1971 in English and Multiple languages and held by 346 WorldCat member libraries worldwide
20 editions published in 1971 in English and Multiple languages and held by 346 WorldCat member libraries worldwide
L'analysis situs et la géométrie algébrique by
Solomon Lefschetz(
Book
)
42 editions published between 1923 and 2018 in 4 languages and held by 306 WorldCat member libraries worldwide
42 editions published between 1923 and 2018 in 4 languages and held by 306 WorldCat member libraries worldwide
Modern optimal control : a conference in honor of Solomon Lefschetz and Joseph P. LaSalle by
Emilio O Roxin(
Book
)
9 editions published in 1989 in English and held by 266 WorldCat member libraries worldwide
9 editions published in 1989 in English and held by 266 WorldCat member libraries worldwide
Contributions to the theory of nonlinear oscillations by
Solomon Lefschetz(
)
20 editions published between 1956 and 2016 in English and held by 260 WorldCat member libraries worldwide
The book description for the forthcoming "Contributions to the Theory of Nonlinear Oscillations (AM36)" is not yet available
20 editions published between 1956 and 2016 in English and held by 260 WorldCat member libraries worldwide
The book description for the forthcoming "Contributions to the Theory of Nonlinear Oscillations (AM36)" is not yet available
Contributions to the theory of nonlinear oscillations by
Solomon Lefschetz(
)
15 editions published between 1950 and 2016 in English and held by 254 WorldCat member libraries worldwide
The book description for the forthcoming "Contributions to the Theory of Nonlinear Oscillations (AM45)" is not yet available
15 editions published between 1950 and 2016 in English and held by 254 WorldCat member libraries worldwide
The book description for the forthcoming "Contributions to the Theory of Nonlinear Oscillations (AM45)" is not yet available
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Related Identities
 LaSalle, Joseph P. Honoree Dedicatee Author Editor
 Fox, Ralph H. (Ralph Hartzler) 19131973 Author Editor
 Cesari, Lamberto Other Author Editor
 Tucker, Albert W. (Albert William) 19051995 Author Editor
 Spencer, D. C. (Donald Clayton) 19122001 Editor
 Krylov, N. M. (Nikolaĭ Mitrofanovich) 18791955 Author
 Bogoli︠u︡bov, N. N. (Nikolaĭ Nikolaevich) 19091992 Author
 United States Air Force Office of Scientific Research
 Research Institute for Advanced Study (Baltimore, Md.)
 United States Air Force Academy
Useful Links
Associated Subjects
Algebraic topology Automatic control Baade, Walter, Bergmann, Peter Gabriel Centro de Investigación y de Estudios Avanzados del I.P.N Chandrasekhar, S.(Subrahmanyan), Control theory Critical point theory (Mathematical analysis) Differential equations Differential equations, Nonlinear Electric networks Feynman integrals Geometry, Algebraic Geometry, Analytic Graph theory Herzberg, Gerhard, Homotopy theory Institute for Advanced Study (Princeton, N.J.) Institute for Geometry and Physics MiamiCinvestavCampinas LaSalle, Joseph P Lefschetz, Solomon, Lincoln Laboratory Li︠a︡punov, A. M.(Aleksandr Mikhaĭlovich), Lyapunov functions Mandelbrot, Benoit B Manifolds (Mathematics) Mathematical optimization Mathematicians Mathematics Meteorology Morgan, W. W.(William Wilson), Nonlinear control theory Nonlinear mechanics Nonlinear oscillations Oscillations PicardLefschetz theory Piore, Emanuel Ruben, Princeton University Princeton University.Department of Mathematics Quantum gravity Radar Riemannian manifolds Soviet Union Stability StarsStructure Topological manifolds Topology United States.National Aeronautics and Space Administration Universities and collegesFaculty Veblen, Oswald,
Covers
Alternative Names
Lefschetz, S.
Lefschetz, S. 18841972
Lefschetz, S. (Solomon), 18841972
Lefšec, S.
Lefšec, S. 18841972
Lefšec, Solomon 18841972
Lefshet︠s︡, S. 18841972
Solomon Lefschetz Amerikaans wiskundige
Solomon Lefschetz amerikansk matematikar
Solomon Lefschetz amerikansk matematiker
Solomon Lefschetz matemàtic estatunidenc
Solomon Lefschetz matemático estadounidense
Solomon Lefschetz matematico russo
Solomon Lefschetz mathématicien américain
Solomon Lefschetz USamerikanischer Mathematiker
Σόλομον Λέφτσετς Αμερικανός μαθηματικός
Лефшец С.
Лефшец Соломон
Соломон Лефшец
סולומון לפשץ מתמטיקאי אמריקאי
سليمان لفستشيتز
سليمان لفشيتز رياضياتي أمريكي
솔로몬 렙셰츠
ソロモン・レフシェッツ
リフシュッツ, S.
レフシェッツ, S
所羅門·萊夫謝茨
Languages