Morse Theory. (AM-51), Volume 51 /

Morse Theory. (AM-51), Volume 51 / / John Milnor.

One of the most cited books in mathematics, John Milnor's exposition of Morse theory has been the most important book on the subject for more than forty years. Morse theory was developed in the 1920s by mathematician Marston Morse. (Morse was on the faculty of the Institute for Advanced Study,...

Full description

Saved in:
Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
VerfasserIn:
Milnor, John,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2016]
©1963
Year of Publication:2016
Language:English
Series:Annals of Mathematics Studies ; 51
Online Access:
Physical Description:1 online resource (160 p.)
Tags: Add Tag
No Tags, Be the first to tag this record!
LEADER 07965nam a22019455i 4500
001 9781400881802
003 DE-B1597
005 20220131112047.0
006 m|||||o||d||||||||
007 cr || ||||||||
008 220131t20161963nju fo d z eng d
019 |a (OCoLC)979581033 
020 |a 9781400881802 
024 7 |a 10.1515/9781400881802  |2 doi 
035 |a (DE-B1597)468044 
035 |a (OCoLC)945482789 
040 |a DE-B1597  |b eng  |c DE-B1597  |e rda 
041 0 |a eng 
044 |a nju  |c US-NJ 
050 4 |a QA611  |b .M55 1969 
072 7 |a MAT038000  |2 bisacsh 
082 0 4 |a 514  |2 23 
100 1 |a Milnor, John,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Morse Theory. (AM-51), Volume 51 /  |c John Milnor. 
264 1 |a Princeton, NJ :   |b Princeton University Press,   |c [2016] 
264 4 |c ©1963 
300 |a 1 online resource (160 p.) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 0 |a Annals of Mathematics Studies ;  |v 51 
505 0 0 |t Frontmatter --   |t PREFACE --   |t CONTENTS --   |t PART I. NON-DEGENERATE SMOOTH FUNCTIONS ON A MANIFOLD --   |t PART II. A RAPID COURSE IN RIEMANNIAN GEOMETRY --   |t PART III. THE CALCULUS OF VARIATIONS APPLIED TO GEODESICS --   |t PART IV. APPLICATIONS TO LIE GROUPS AND SYMMETRIC SPACES --   |t APPENDIX. THE HOMOTOPY TYPE OF A MONOTONE UNION 
506 0 |a restricted access  |u http://purl.org/coar/access_right/c_16ec  |f online access with authorization  |2 star 
520 |a One of the most cited books in mathematics, John Milnor's exposition of Morse theory has been the most important book on the subject for more than forty years. Morse theory was developed in the 1920s by mathematician Marston Morse. (Morse was on the faculty of the Institute for Advanced Study, and Princeton published his Topological Methods in the Theory of Functions of a Complex Variable in the Annals of Mathematics Studies series in 1947.) One classical application of Morse theory includes the attempt to understand, with only limited information, the large-scale structure of an object. This kind of problem occurs in mathematical physics, dynamic systems, and mechanical engineering. Morse theory has received much attention in the last two decades as a result of a famous paper in which theoretical physicist Edward Witten relates Morse theory to quantum field theory. Milnor was awarded the Fields Medal (the mathematical equivalent of a Nobel Prize) in 1962 for his work in differential topology. He has since received the National Medal of Science (1967) and the Steele Prize from the American Mathematical Society twice (1982 and 2004) in recognition of his explanations of mathematical concepts across a wide range of scienti.c disciplines. The citation reads, "The phrase sublime elegance is rarely associated with mathematical exposition, but it applies to all of Milnor's writings. Reading his books, one is struck with the ease with which the subject is unfolding and it only becomes apparent after re.ection that this ease is the mark of a master.? Milnor has published five books with Princeton University Press. 
530 |a Issued also in print. 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) 
650 0 |a Geometry, Differential. 
650 0 |a Homotopy theory. 
650 0 |a Morse theory. 
650 7 |a MATHEMATICS / Topology.  |2 bisacsh 
653 |a Affine connection. 
653 |a Banach algebra. 
653 |a Betti number. 
653 |a Bott periodicity theorem. 
653 |a Bounded set. 
653 |a Calculus of variations. 
653 |a Cauchy sequence. 
653 |a Characteristic class. 
653 |a Clifford algebra. 
653 |a Compact space. 
653 |a Complex number. 
653 |a Conjugate points. 
653 |a Coordinate system. 
653 |a Corollary. 
653 |a Covariant derivative. 
653 |a Covering space. 
653 |a Critical point (mathematics). 
653 |a Curvature. 
653 |a Cyclic group. 
653 |a Derivative. 
653 |a Diagram (category theory). 
653 |a Diffeomorphism. 
653 |a Differentiable function. 
653 |a Differentiable manifold. 
653 |a Differential geometry. 
653 |a Differential structure. 
653 |a Differential topology. 
653 |a Dimension (vector space). 
653 |a Dirichlet problem. 
653 |a Elementary proof. 
653 |a Euclidean space. 
653 |a Euler characteristic. 
653 |a Exact sequence. 
653 |a Exponentiation. 
653 |a First variation. 
653 |a Function (mathematics). 
653 |a Fundamental lemma (Langlands program). 
653 |a Fundamental theorem. 
653 |a General position. 
653 |a Geometry. 
653 |a Great circle. 
653 |a Hessian matrix. 
653 |a Hilbert space. 
653 |a Homomorphism. 
653 |a Homotopy group. 
653 |a Homotopy. 
653 |a Implicit function theorem. 
653 |a Inclusion map. 
653 |a Infimum and supremum. 
653 |a Jacobi field. 
653 |a Lie algebra. 
653 |a Lie group. 
653 |a Line segment. 
653 |a Linear equation. 
653 |a Linear map. 
653 |a Loop space. 
653 |a Manifold. 
653 |a Mathematical induction. 
653 |a Metric connection. 
653 |a Metric space. 
653 |a Morse theory. 
653 |a N-sphere. 
653 |a Order of approximation. 
653 |a Orthogonal group. 
653 |a Orthogonal transformation. 
653 |a Paraboloid. 
653 |a Path space. 
653 |a Piecewise. 
653 |a Projective plane. 
653 |a Real number. 
653 |a Retract. 
653 |a Ricci curvature. 
653 |a Riemannian geometry. 
653 |a Riemannian manifold. 
653 |a Sard's theorem. 
653 |a Second fundamental form. 
653 |a Sectional curvature. 
653 |a Sequence. 
653 |a Simply connected space. 
653 |a Skew-Hermitian matrix. 
653 |a Smoothness. 
653 |a Special unitary group. 
653 |a Square-integrable function. 
653 |a Subgroup. 
653 |a Submanifold. 
653 |a Subset. 
653 |a Symmetric space. 
653 |a Tangent space. 
653 |a Tangent vector. 
653 |a Theorem. 
653 |a Topological group. 
653 |a Topological space. 
653 |a Topology. 
653 |a Torus. 
653 |a Unit sphere. 
653 |a Unit vector. 
653 |a Unitary group. 
653 |a Vector bundle. 
653 |a Vector field. 
653 |a Vector space. 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t Princeton Annals of Mathematics eBook-Package 1940-2020  |z 9783110494914  |o ZDB-23-PMB 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t Princeton University Press eBook-Package Archive 1927-1999  |z 9783110442496 
776 0 |c print  |z 9780691080086 
856 4 0 |u https://doi.org/10.1515/9781400881802 
856 4 0 |u https://www.degruyter.com/isbn/9781400881802 
856 4 2 |3 Cover  |u https://www.degruyter.com/document/cover/isbn/9781400881802/original 
912 |a 978-3-11-044249-6 Princeton University Press eBook-Package Archive 1927-1999  |c 1927  |d 1999 
912 |a EBA_BACKALL 
912 |a EBA_CL_MTPY 
912 |a EBA_EBACKALL 
912 |a EBA_EBKALL 
912 |a EBA_ECL_MTPY 
912 |a EBA_EEBKALL 
912 |a EBA_ESTMALL 
912 |a EBA_PPALL 
912 |a EBA_STMALL 
912 |a GBV-deGruyter-alles 
912 |a PDA12STME 
912 |a PDA13ENGE 
912 |a PDA18STMEE 
912 |a PDA5EBK 
912 |a ZDB-23-PMB  |c 1940  |d 2020 

Similar Items