Sternberg, Shlomo
Overview
Works:  67 works in 495 publications in 6 languages and 7,623 library holdings 

Genres:  History Conference papers and proceedings 
Roles:  Author, Editor, Other 
Classifications:  QA641, 530.15636 
Publication Timeline
.
Most widely held works by
Shlomo Sternberg
Lectures on differential geometry by
Shlomo Sternberg(
Book
)
53 editions published between 1961 and 1999 in 4 languages and held by 912 WorldCat member libraries worldwide
53 editions published between 1961 and 1999 in 4 languages and held by 912 WorldCat member libraries worldwide
A course in mathematics for students of physics by
Paul G Bamberg(
Book
)
80 editions published between 1986 and 2011 in 3 languages and held by 878 WorldCat member libraries worldwide
Cours.in mathem.for students of physics/P.Bamberg.v.2
80 editions published between 1986 and 2011 in 3 languages and held by 878 WorldCat member libraries worldwide
Cours.in mathem.for students of physics/P.Bamberg.v.2
Advanced calculus by
Lynn H Loomis(
Book
)
44 editions published between 1968 and 2014 in English and Chinese and held by 790 WorldCat member libraries worldwide
An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades. This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a threesemester introduction to analysis. The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives. In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds
44 editions published between 1968 and 2014 in English and Chinese and held by 790 WorldCat member libraries worldwide
An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades. This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a threesemester introduction to analysis. The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives. In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds
Group theory and physics by
Shlomo Sternberg(
Book
)
29 editions published between 1991 and 2003 in English and held by 679 WorldCat member libraries worldwide
This textbook, based on courses taught at Harvard University, is an introduction to group theory and its application to physics
29 editions published between 1991 and 2003 in English and held by 679 WorldCat member libraries worldwide
This textbook, based on courses taught at Harvard University, is an introduction to group theory and its application to physics
Symplectic techniques in physics by
Victor Guillemin(
Book
)
39 editions published between 1983 and 2011 in English and Undetermined and held by 641 WorldCat member libraries worldwide
39 editions published between 1983 and 2011 in English and Undetermined and held by 641 WorldCat member libraries worldwide
Geometric asymptotics by
Victor Guillemin(
Book
)
29 editions published between 1977 and 1991 in English and Undetermined and held by 514 WorldCat member libraries worldwide
29 editions published between 1977 and 1991 in English and Undetermined and held by 514 WorldCat member libraries worldwide
Celestial mechanics by
Shlomo Sternberg(
Book
)
15 editions published in 1969 in English and Undetermined and held by 489 WorldCat member libraries worldwide
15 editions published in 1969 in English and Undetermined and held by 489 WorldCat member libraries worldwide
Variations on a theme by Kepler by
Victor Guillemin(
Book
)
17 editions published between 1990 and 2006 in English and Undetermined and held by 411 WorldCat member libraries worldwide
This book is based on the Colloquium Lectures presented by Shlomo Sternberg in 1990. The authors delve into the mysterious role that groups, especially Lie groups, play in revealing the laws of nature by focusing on the familiar example of Kepler motion: the motion of a planet under the attraction of the sun according to Kepler's laws. Newton realized that Kepler's second lawthat equal areas are swept out in equal timeshas to do with the fact that the force is directed radially to the sun. Kepler's second law is really the assertion of the conservation of angular momentum, reflecting the rot
17 editions published between 1990 and 2006 in English and Undetermined and held by 411 WorldCat member libraries worldwide
This book is based on the Colloquium Lectures presented by Shlomo Sternberg in 1990. The authors delve into the mysterious role that groups, especially Lie groups, play in revealing the laws of nature by focusing on the familiar example of Kepler motion: the motion of a planet under the attraction of the sun according to Kepler's laws. Newton realized that Kepler's second lawthat equal areas are swept out in equal timeshas to do with the fact that the force is directed radially to the sun. Kepler's second law is really the assertion of the conservation of angular momentum, reflecting the rot
Supersymmetry and equivariant de Rham theory by
Victor Guillemin(
Book
)
14 editions published between 1999 and 2011 in English and held by 305 WorldCat member libraries worldwide
Equivariant cohomology in the framework of smooth manifolds is the subject of this book which is part of a collection of volumes edited by J. Brüning and V.M. Guillemin. The point of departure are two relatively short but very remarkable papers by Henry Cartan, published in 1950 in the Proceedings of the "Colloque de Topologie". These papers are reproduced here, together with a scholarly introduction to the subject from a modern point of view, written by two of the leading experts in the field. This "introduction", however, turns out to be a textbook of its own presenting the first full treatment of equivariant cohomology from the de Rahm theoretic perspective. The well established topological approach is linked with the differential form aspect through the equivariant de Rahm theorem. The systematic use of supersymmetry simplifies considerably the ensuing development of the basic technical tools which are then applied to a variety of subjects (like symplectic geometry, Lie theory, dynamical systems, and mathematical physics), leading up to the localization theorems and recent results on the ring structure of the equivariant cohomology
14 editions published between 1999 and 2011 in English and held by 305 WorldCat member libraries worldwide
Equivariant cohomology in the framework of smooth manifolds is the subject of this book which is part of a collection of volumes edited by J. Brüning and V.M. Guillemin. The point of departure are two relatively short but very remarkable papers by Henry Cartan, published in 1950 in the Proceedings of the "Colloque de Topologie". These papers are reproduced here, together with a scholarly introduction to the subject from a modern point of view, written by two of the leading experts in the field. This "introduction", however, turns out to be a textbook of its own presenting the first full treatment of equivariant cohomology from the de Rahm theoretic perspective. The well established topological approach is linked with the differential form aspect through the equivariant de Rahm theorem. The systematic use of supersymmetry simplifies considerably the ensuing development of the basic technical tools which are then applied to a variety of subjects (like symplectic geometry, Lie theory, dynamical systems, and mathematical physics), leading up to the localization theorems and recent results on the ring structure of the equivariant cohomology
Symplectic fibrations and multiplicity diagrams by
Victor Guillemin(
Book
)
13 editions published between 1996 and 2009 in English and held by 259 WorldCat member libraries worldwide
"The subject of this book is the multiplicity diagrams associated with U(n), O(n), and the other classical groups. It presents such topics as asymptotic distributions of multiplicities, hierarchical patterns in multiplicity diagrams, lacunae, and the multiplicity diagrams of the rank2 and rank3 groups. The authors take a novel approach, using the techniques of symplectic geometry. They develop in detail some themes that were touched on in Symplectic Techniques in Physics (V. Guillemin and S. Sternberg, Cambridge University Press, 1984), including the geometry of the moment map, the DuistermaatHeckman theorem, the interplay between coadjoint orbits and representation theory, and quantization."
13 editions published between 1996 and 2009 in English and held by 259 WorldCat member libraries worldwide
"The subject of this book is the multiplicity diagrams associated with U(n), O(n), and the other classical groups. It presents such topics as asymptotic distributions of multiplicities, hierarchical patterns in multiplicity diagrams, lacunae, and the multiplicity diagrams of the rank2 and rank3 groups. The authors take a novel approach, using the techniques of symplectic geometry. They develop in detail some themes that were touched on in Symplectic Techniques in Physics (V. Guillemin and S. Sternberg, Cambridge University Press, 1984), including the geometry of the moment map, the DuistermaatHeckman theorem, the interplay between coadjoint orbits and representation theory, and quantization."
Differential geometric methods in mathematical physics by
Shlomo Sternberg(
Book
)
17 editions published in 1984 in 3 languages and held by 258 WorldCat member libraries worldwide
17 editions published in 1984 in 3 languages and held by 258 WorldCat member libraries worldwide
Deformation theory of pseudogroup structures by
Victor Guillemin(
Book
)
14 editions published in 1966 in 3 languages and held by 201 WorldCat member libraries worldwide
14 editions published in 1966 in 3 languages and held by 201 WorldCat member libraries worldwide
Quantum groups : from coalgebras to Drinfeld algebras : a guided tour by
S Shnider(
Book
)
17 editions published between 1993 and 1997 in English and held by 166 WorldCat member libraries worldwide
17 editions published between 1993 and 1997 in English and held by 166 WorldCat member libraries worldwide
Curvature in mathematics and physics by
Shlomo Sternberg(
Book
)
8 editions published between 2012 and 2013 in English and held by 136 WorldCat member libraries worldwide
This original Dover textbook is based on an advanced undergraduate course taught by the author for more than 50 years. It introduces semiRiemannian geometry and its principal physical application, Einstein's theory of general relativity, using the Cartan exterior calculus as a principal tool. Prerequisites include linear algebra and advanced calculus. 2012 edition
8 editions published between 2012 and 2013 in English and held by 136 WorldCat member libraries worldwide
This original Dover textbook is based on an advanced undergraduate course taught by the author for more than 50 years. It introduces semiRiemannian geometry and its principal physical application, Einstein's theory of general relativity, using the Cartan exterior calculus as a principal tool. Prerequisites include linear algebra and advanced calculus. 2012 edition
Dynamical systems by
Shlomo Sternberg(
Book
)
10 editions published between 2010 and 2014 in English and held by 111 WorldCat member libraries worldwide
"Celebrated mathematician Shlomo Sternberg, a pioneer in the field of dynamical systems, created this modern onesemester introduction to the subject for his classes at Harvard University. Its wideranging treatment covers onedimensional dynamics, differential equations, random walks, iterated function systems, symbolic dynamics, and Markov chains. Supplementary materials offer a variety of online components, including PowerPoint lecture slides for professors and MATLAB exercises."Publisher's description
10 editions published between 2010 and 2014 in English and held by 111 WorldCat member libraries worldwide
"Celebrated mathematician Shlomo Sternberg, a pioneer in the field of dynamical systems, created this modern onesemester introduction to the subject for his classes at Harvard University. Its wideranging treatment covers onedimensional dynamics, differential equations, random walks, iterated function systems, symbolic dynamics, and Markov chains. Supplementary materials offer a variety of online components, including PowerPoint lecture slides for professors and MATLAB exercises."Publisher's description
Modern elementary mathematics: a laboratory approach by
John Callahan(
Book
)
2 editions published in 1972 in English and held by 72 WorldCat member libraries worldwide
2 editions published in 1972 in English and held by 72 WorldCat member libraries worldwide
Celestial mechanics by
Shlomo Sternberg(
Book
)
11 editions published in 1969 in English and Undetermined and held by 60 WorldCat member libraries worldwide
11 editions published in 1969 in English and Undetermined and held by 60 WorldCat member libraries worldwide
Celestial mechanics by
Shlomo Sternberg(
Book
)
6 editions published in 1969 in English and Undetermined and held by 46 WorldCat member libraries worldwide
6 editions published in 1969 in English and Undetermined and held by 46 WorldCat member libraries worldwide
Semiclassical analysis by
Victor Guillemin(
Book
)
6 editions published in 2013 in English and held by 41 WorldCat member libraries worldwide
6 editions published in 2013 in English and held by 41 WorldCat member libraries worldwide
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Associated Subjects
Algebras, Linear Astronomy Asymptotic expansions Calculus Celestial mechanics Conformal geometry Curvature Diffeomorphisms Differentiable dynamical systems Differential calculus Differential equations, Partial Drinfeld modules Dynamics Geometrical optics Geometry, Differential Global differential geometry Group theory Homology theory Kepler, Johannes, Kepler's laws Lagrangian functions Lie groups Manifolds (Mathematics) Mathematical physics Mathematics Modules (Algebra) Multiplicity (Mathematics) Physics Planetary theory Pseudogroups Pseudogroup structures, Deformation of Quantum groups Quantum theory Relativity (Physics) Representations of groups Schrödinger operator SemiRiemannian geometry Spectral theory (Mathematics) Supersymmetry Symmetry (Physics) Symmetry groups Symplectic geometry Symplectic groups Symplectic manifolds Transformations (Mathematics)
Alternative Names
Shlomo Sternberg American mathematician
Shlomo Sternberg Amerikaans wiskundige
Shlomo Sternberg amerikansk matematikar
Shlomo Sternberg amerikansk matematiker
Shlomo Sternberg matemático estadounidense
Shlomo Sternberg matematico statunitense
Shlomo Sternberg USamerikanischer Mathematiker
Sternberg, S.
Sternberg, S. 1936
Sternberg, S. (Shlomo)
Стернберг, С.
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