Lefschetz, Solomon 18841972
Overview
Works:  183 works in 1,139 publications in 6 languages and 17,524 library holdings 

Genres:  Conference papers and proceedings History 
Roles:  Author, Editor, Translator, Honoree, Other, Dedicatee, Author of introduction, Publishing director 
Classifications:  QA611, 513.83 
Publication Timeline
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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 Lefschetz Centennial Conference( Book )
 Oral history interview with Albert W. Tucker by Albert W Tucker( )
 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( )
 Vandiver, H.S., Papers by Harry Schultz Vandiver( )
 Algebraic geometry and topology: a symposium in honor of S. Lefschetz, ed. by Princeton University( Book )
 Department of Mathematics Oral History Project records by Princeton University( )
 MathaiQuillen formalism and Lefschetz theory by Mihail Antonio TeodorescuFrumosu( )
 Computing topological dynamics from time series by Mark Wess( )
 Moore, R.L., Papers by R. L Moore( )
 Solomon Lefschetz  September 3, 1884October 5, 1972 by Phillip Griffiths( Book )
 Wilder, Raymond Louis, papers by Raymond Louis Wilder( )
 Solomon Lefschetz (18841972) by W. V. D Hodge( Book )
 Solomon Lefschetz by Raymond Clare Archibald( Book )
more
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Most widely held works by
Solomon Lefschetz
Introduction to topology by
Solomon Lefschetz(
Book
)
52 editions published between 1945 and 2016 in English and Undetermined and held by 1,863 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
52 editions published between 1945 and 2016 in English and Undetermined and held by 1,863 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(
)
35 editions published between 1965 and 1980 in 3 languages and held by 1,766 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
35 editions published between 1965 and 1980 in 3 languages and held by 1,766 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
)
80 editions published between 1957 and 2005 in 3 languages and held by 1,370 WorldCat member libraries worldwide
List of principal symbols
80 editions published between 1957 and 2005 in 3 languages and held by 1,370 WorldCat member libraries worldwide
List of principal symbols
Algebraic geometry by
Solomon Lefschetz(
Book
)
46 editions published between 1937 and 2016 in English and Undetermined and held by 926 WorldCat member libraries worldwide
The first application of modern algebraic techniques to a comprehensive selection of classical geometric problems. Written with spirit and originality, this is a valuable book for anyone interested in the subject from other than the purely algebraic point of view.Originally published in 1953.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
46 editions published between 1937 and 2016 in English and Undetermined and held by 926 WorldCat member libraries worldwide
The first application of modern algebraic techniques to a comprehensive selection of classical geometric problems. Written with spirit and originality, this is a valuable book for anyone interested in the subject from other than the purely algebraic point of view.Originally published in 1953.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 by Liapunov's direct method, with applications by
Joseph P LaSalle(
Book
)
45 editions published between 1961 and 1973 in English and held by 792 WorldCat member libraries worldwide
45 editions published between 1961 and 1973 in English and held by 792 WorldCat member libraries worldwide
Topology by
Solomon Lefschetz(
Book
)
57 editions published between 1930 and 2012 in English and Undetermined and held by 769 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 varieties. He also gives applications to vector distributions, complex spaces, and Kronecker's characteristic theory
57 editions published between 1930 and 2012 in English and Undetermined and held by 769 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 varieties. He also gives applications to vector distributions, complex spaces, and Kronecker's characteristic theory
Algebraic topology by
Solomon Lefschetz(
Book
)
69 editions published between 1942 and 2004 in 4 languages and held by 730 WorldCat member libraries worldwide
69 editions published between 1942 and 2004 in 4 languages and held by 730 WorldCat member libraries worldwide
Introduction to nonlinear mechanics by
N. M Krylov(
Book
)
31 editions published between 1943 and 1970 in English and held by 703 WorldCat member libraries worldwide
The book description for the forthcoming "Introduction to NonLinear Mechanics. (AM11)" is not yet available
31 editions published between 1943 and 1970 in English and held by 703 WorldCat member libraries worldwide
The book description for the forthcoming "Introduction to NonLinear Mechanics. (AM11)" is not yet available
Lectures on differential equations by
Solomon Lefschetz(
Book
)
58 editions published between 1946 and 1985 in English and Undetermined and held by 655 WorldCat member libraries worldwide
58 editions published between 1946 and 1985 in English and Undetermined and held by 655 WorldCat member libraries worldwide
Topics in topology by
Solomon Lefschetz(
Book
)
39 editions published between 1942 and 2016 in English and Undetermined and held by 640 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
39 editions published between 1942 and 2016 in English and Undetermined and held by 640 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
)
19 editions published in 1975 in English and held by 580 WorldCat member libraries worldwide
19 editions published in 1975 in English and held by 580 WorldCat member libraries worldwide
International Symposium on Nonlinear Differential Equations and Nonlinear Mechanics; [proceedings] by
Joseph P LaSalle(
Book
)
25 editions published between 1961 and 1965 in English and Italian and held by 543 WorldCat member libraries worldwide
Nonlinear Differential Equations and Nonlinear Mechanics provides information pertinent to nonlinear differential equations, nonlinear mechanics, control theory, and other related topics. This book discusses the properties of solutions of equations in standard form in the infinite time interval. <br>Organized into 49 chapters, this book starts with an overview of the characteristic types of differential equation systems with small parameters. This text then explains the structurally stable fields on a differentiable two manifold are the ones that exhibit the simplest features. Other chapters e
25 editions published between 1961 and 1965 in English and Italian and held by 543 WorldCat member libraries worldwide
Nonlinear Differential Equations and Nonlinear Mechanics provides information pertinent to nonlinear differential equations, nonlinear mechanics, control theory, and other related topics. This book discusses the properties of solutions of equations in standard form in the infinite time interval. <br>Organized into 49 chapters, this book starts with an overview of the characteristic types of differential equation systems with small parameters. This text then explains the structurally stable fields on a differentiable two manifold are the ones that exhibit the simplest features. Other chapters e
Recent Soviet contributions to mathematics by
Joseph P LaSalle(
Book
)
15 editions published between 1962 and 1963 in English and held by 454 WorldCat member libraries worldwide
15 editions published between 1962 and 1963 in English and held by 454 WorldCat member libraries worldwide
Contributions to the theory of nonlinear oscillations by
Solomon Lefschetz(
Book
)
24 editions published between 1950 and 1970 in English and held by 429 WorldCat member libraries worldwide
24 editions published between 1950 and 1970 in English and held by 429 WorldCat member libraries worldwide
Theory of oscillations by
A. A Andronov(
Book
)
26 editions published between 1949 and 1992 in English and Italian and held by 429 WorldCat member libraries worldwide
26 editions published between 1949 and 1992 in English and Italian and held by 429 WorldCat member libraries worldwide
Selected papers by
Solomon Lefschetz(
Book
)
20 editions published in 1971 in English and Multiple languages and held by 344 WorldCat member libraries worldwide
20 editions published in 1971 in English and Multiple languages and held by 344 WorldCat member libraries worldwide
Contributions to the theory of nonlinear oscillations by
Solomon Lefschetz(
)
35 editions published between 1950 and 2016 in English and Undetermined and held by 313 WorldCat member libraries worldwide
The book description for the forthcoming "Contributions to the Theory of Nonlinear Oscillations (AM45)" is not yet available
35 editions published between 1950 and 2016 in English and Undetermined and held by 313 WorldCat member libraries worldwide
The book description for the forthcoming "Contributions to the Theory of Nonlinear Oscillations (AM45)" is not yet available
L'analysis situs et la géométrie algébrique by
Solomon Lefschetz(
Book
)
45 editions published between 1922 and 2018 in 4 languages and held by 305 WorldCat member libraries worldwide
45 editions published between 1922 and 2018 in 4 languages and held by 305 WorldCat member libraries worldwide
Modern optimal control : a conference in honor of Solomon Lefschetz and Joseph P. LaSalle by
Emilio O Roxin(
Book
)
10 editions published in 1989 in English and Undetermined and held by 269 WorldCat member libraries worldwide
10 editions published in 1989 in English and Undetermined and held by 269 WorldCat member libraries worldwide
Contributions to the theory of nonlinear oscillations by
Solomon Lefschetz(
)
13 editions published between 1956 and 2016 in English and held by 212 WorldCat member libraries worldwide
The book description for the forthcoming "Contributions to the Theory of Nonlinear Oscillations (AM36)" is not yet available
13 editions published between 1956 and 2016 in English and held by 212 WorldCat member libraries worldwide
The book description for the forthcoming "Contributions to the Theory of Nonlinear Oscillations (AM36)" 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 AstronomyStudy and teaching Automatic control Baade, Walter, Bergmann, Peter Gabriel Centro de Investigación y de Estudios Avanzados del I.P.N Chandrasekhar, S.(Subrahmanyan), Church, Alonzo, Control theory Critical point theory (Mathematical analysis) DeWitt, Bryce S.(Bryce Seligman), Differential equations Differential equations, Nonlinear Electric networks Feynman integrals Functions Geometry, Algebraic Geometry, Analytic Graph 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 Massachusetts Institute of Technology Mathematical optimization Mathematicians Mathematics Meteorology Nonlinear control theory Nonlinear mechanics Nonlinear oscillations Oscillations PicardLefschetz theory Piore, Emanuel Ruben, Princeton University Princeton University.Department of Mathematics Quantum gravity Radar Soviet Union Stability StarsStructure Stellarators 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