## Spivak, Michael

Compute Distance To:
 Author ID: spivak.michael Published as: Spivak, Michael External Links: MGP · Wikidata · GND · IdRef
 Documents Indexed: 23 Publications since 1965, including 20 Books 3 Further Contributions

### Co-Authors

 23 single-authored 2 Milnor, John Willard 1 Albis González, Víctor Samuel 1 Brieva-Bustillo, E.

### Serials

 1 Topology 1 Annals of Mathematics Studies 1 Seminar on Mathematical Sciences 1 Texts and Readings in Mathematics
all top 5

### Fields

 14 Differential geometry (53-XX) 7 Global analysis, analysis on manifolds (58-XX) 5 Algebraic topology (55-XX) 4 Manifolds and cell complexes (57-XX) 3 Topological groups, Lie groups (22-XX) 3 Real functions (26-XX) 3 Mechanics of particles and systems (70-XX) 2 Field theory and polynomials (12-XX) 2 Partial differential equations (35-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Geometry (51-XX)

### Citations contained in zbMATH Open

23 Publications have been cited 1,708 times in 1,244 Documents Cited by Year
Morse theory. Based on lecture notes by M. Spivak and R. Wells. Zbl 0108.10401
Milnor, John W.
1963
Calculus on manifolds. A modern approach to classical theorems of advanced calculus. Zbl 0141.05403
Spivak, Michael
1965
A comprehensive introduction to differential geometry. Vol. I. 2nd ed. Zbl 0439.53001
Spivak, Michael
1979
A comprehensive introduction to differential geometry. Vol. 1-5. 3rd ed. with corrections. Zbl 1213.53001
Spivak, Michael
1999
A comprehensive introduction to differential geometry. Vol. III. 2nd ed. Zbl 0439.53003
Spivak, Michael
1979
A comprehensive introduction to differential geometry. Vol. 1. Zbl 0202.52001
Spivak, Michael
1970
A comprehensive introduction to differential geometry. Vol. II. 2nd ed. Zbl 0439.53002
Spivak, Michael
1979
A comprehensive introduction to differential geometry. Vol. 3. Zbl 0306.53001
Spivak, Michael
1975
Spaces satisfying Poincaré duality. Zbl 0185.50904
Spivak, Michael
1967
A comprehensive introduction to differential geometry. Vol. 4. Zbl 0306.53002
Spivak, Michael
1975
A comprehensive introduction to differential geometry. Vol. V. 2nd ed. Zbl 0439.53005
Spivak, Michael
1979
A comprehensive introduction to differential geometry. Vol. 5. Zbl 0306.53003
Spivak, Michael
1975
A comprehensive introduction to differential geometry. Vol. 2. Zbl 0202.52201
Spivak, Michael
1970
A comprehensive introduction to differential geometry. Vol. IV. 2nd ed. Zbl 0439.53004
Spivak, Michael
1979
Calculus. Zbl 0159.34302
Spivak, Michael
1967
Calculus on manifolds. Zbl 0173.05104
Spivak, Michael
1968
Calculus on manifolds. A modern approach to classical theorems of advanced calculus. (Analiza na rozmaitosciach. Nowoczesne podejscie do klasycznych twierdzen zaawansowanej analizy.). Zbl 0381.58003
Spivak, Michael
1977
Calculus. 4th ed. Zbl 1272.26002
Spivak, Michael
2008
Morse theory. Based on lecture notes by M. Spivak and R. Wells. Reprint of the 1963 original published by Princeton University Press. Zbl 1281.58005
Milnor, John W.
2013
Physics for mathematicians. Mechanics I. Zbl 1281.70001
Spivak, Michael
2010
Calculus. 2nd ed. Zbl 0458.26001
Spivak, Michael
1980
Calculus. Corrected 3rd ed. Zbl 1117.26002
Spivak, Michael
2006
Some left-over problems from classical differential geometry. Zbl 0306.53004
Spivak, Michael
1975
Morse theory. Based on lecture notes by M. Spivak and R. Wells. Reprint of the 1963 original published by Princeton University Press. Zbl 1281.58005
Milnor, John W.
2013
Physics for mathematicians. Mechanics I. Zbl 1281.70001
Spivak, Michael
2010
Calculus. 4th ed. Zbl 1272.26002
Spivak, Michael
2008
Calculus. Corrected 3rd ed. Zbl 1117.26002
Spivak, Michael
2006
A comprehensive introduction to differential geometry. Vol. 1-5. 3rd ed. with corrections. Zbl 1213.53001
Spivak, Michael
1999
Calculus. 2nd ed. Zbl 0458.26001
Spivak, Michael
1980
A comprehensive introduction to differential geometry. Vol. I. 2nd ed. Zbl 0439.53001
Spivak, Michael
1979
A comprehensive introduction to differential geometry. Vol. III. 2nd ed. Zbl 0439.53003
Spivak, Michael
1979
A comprehensive introduction to differential geometry. Vol. II. 2nd ed. Zbl 0439.53002
Spivak, Michael
1979
A comprehensive introduction to differential geometry. Vol. V. 2nd ed. Zbl 0439.53005
Spivak, Michael
1979
A comprehensive introduction to differential geometry. Vol. IV. 2nd ed. Zbl 0439.53004
Spivak, Michael
1979
Calculus on manifolds. A modern approach to classical theorems of advanced calculus. (Analiza na rozmaitosciach. Nowoczesne podejscie do klasycznych twierdzen zaawansowanej analizy.). Zbl 0381.58003
Spivak, Michael
1977
A comprehensive introduction to differential geometry. Vol. 3. Zbl 0306.53001
Spivak, Michael
1975
A comprehensive introduction to differential geometry. Vol. 4. Zbl 0306.53002
Spivak, Michael
1975
A comprehensive introduction to differential geometry. Vol. 5. Zbl 0306.53003
Spivak, Michael
1975
Some left-over problems from classical differential geometry. Zbl 0306.53004
Spivak, Michael
1975
A comprehensive introduction to differential geometry. Vol. 1. Zbl 0202.52001
Spivak, Michael
1970
A comprehensive introduction to differential geometry. Vol. 2. Zbl 0202.52201
Spivak, Michael
1970
Calculus on manifolds. Zbl 0173.05104
Spivak, Michael
1968
Spaces satisfying Poincaré duality. Zbl 0185.50904
Spivak, Michael
1967
Calculus. Zbl 0159.34302
Spivak, Michael
1967
Calculus on manifolds. A modern approach to classical theorems of advanced calculus. Zbl 0141.05403
Spivak, Michael
1965
Morse theory. Based on lecture notes by M. Spivak and R. Wells. Zbl 0108.10401
Milnor, John W.
1963
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### Cited by 1,751 Authors

 14 Garcia, Ronaldo A. 11 Sotomayor, Jorge 9 Dajczer, Marcos 7 Klein, John Robert 6 Bürgisser, Peter 6 Fiori, Simone 5 Atzberger, Paul J. 5 Bank, Bernd 5 Düldül, Mustafa 5 Giusti, Marc 5 Heintz, Joos 5 Larsen, Jens Christian 5 Lewicka, Marta 5 Mira, Pablo 5 Pinkall, Ulrich 5 Romani, Giuliano 5 Schlenker, Jean-Marc 5 Vlachos, Theodoros 4 Amat, Sergio P. 4 Bernig, Andreas 4 Busquier, Sonia 4 Ciarlet, Philippe Gaston 4 de Azevedo Tribuzy, Renato 4 Erişir, Tülay 4 Eschenburg, Jost-Hinrich 4 Gálvez, Jose Antonio 4 Gross, B. J. 4 Guadalupe, Irwen Válle 4 Jenssen, Helge Kristian 4 Kogan, Irina A. 4 Krejčiřík, David 4 Kuruoğlu, Nuri 4 Li, Jiayu 4 López Camino, Rafael 4 Mardare, Cristinel 4 Markvorsen, Steen 4 Mora, Maria Giovanna 4 Ortega, Romeo S. 4 Palmas, Oscar 4 Plaza, Sergio 4 Rheinboldt, Werner C. 4 Sabitov, Idzhad Khakovich 4 Yao, Pengfei 4 Zheng, Hong 4 Zwiebach, Barton 3 Abdel-All, Nassar Hassan 3 Abedi, Reza 3 Aléssio, Osmar 3 Amelunxen, Dennis 3 Anderson, Ian M. 3 Anderson, Michael T. 3 Angenent, Sigurd Bernardus 3 Argyros, Ioannis Konstantinos 3 Audoly, Basile 3 Baillif, Mathieu 3 Bates, Larry M. 3 Boon, Wietse M. 3 Bratishchev, Aleksandr Vasil’evich 3 Broer, Henk W. 3 Capobianco, Giuseppe 3 Cazals, Frédéric 3 Chen, Gui-Qiang G. 3 Choe, Jaigyoung 3 Cruttwell, G. S. H. 3 Dillen, Franki 3 Duits, Remco 3 Düldül, Bahar Uyar 3 Eugster, Simon R. 3 Foote, Robert L. 3 Garay, Oscar Jesus 3 Ghomi, Mohammad 3 Guillot, Adolfo 3 Gungor, Mehmet Ali 3 Haber, Robert Bruce 3 Hamann, Bernd 3 Han, Xiaoli 3 Hilout, Saïd 3 Howard, Ralph E. 3 Hurtado, Ana 3 Iliev, Bozhidar Zakhariev 3 Ivanova-Karatopraklieva, Ivanka I. 3 Koenderink, Jan J. 3 Labourie, François 3 Law, Peter R. 3 Lembo, Marzio 3 Leung, Pui-Fai 3 Li, Haizhong 3 Lopes, Débora 3 Malchiodi, Andrea 3 Miller, Scott T. 3 Morvan, Jean-Marie 3 Nicolò, Francesco 3 Nomizu, Katsumi 3 Olver, Peter John 3 Palmer, Vicente 3 Pardo, Luis Miguel 3 Patrangenaru, Victor 3 Peralta-Salas, Daniel 3 Pomet, Jean-Baptiste 3 Portmann, Fabian ...and 1,651 more Authors
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### Cited in 372 Serials

 35 Transactions of the American Mathematical Society 26 Journal of Mathematical Analysis and Applications 25 Journal of Geometry and Physics 22 Proceedings of the American Mathematical Society 20 Mathematische Annalen 20 Differential Geometry and its Applications 18 Mathematische Zeitschrift 18 The Journal of Geometric Analysis 16 Computer Aided Geometric Design 15 Communications in Mathematical Physics 15 Annals of Global Analysis and Geometry 14 Journal of Differential Equations 14 Results in Mathematics 13 Archive for Rational Mechanics and Analysis 13 Journal of Computational Physics 13 Applied Mathematics and Computation 13 Duke Mathematical Journal 11 General Relativity and Gravitation 11 Rocky Mountain Journal of Mathematics 11 Topology and its Applications 10 International Journal of Theoretical Physics 10 Journal of Mathematical Physics 10 Geometriae Dedicata 10 Journal of Computational and Applied Mathematics 10 Manuscripta Mathematica 10 International Journal of Geometric Methods in Modern Physics 9 Advances in Mathematics 9 The Annals of Statistics 9 Automatica 9 Journal of Geometry 9 Journal of Mathematical Sciences (New York) 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Computer Methods in Applied Mechanics and Engineering 8 Annali di Matematica Pura ed Applicata. Serie Quarta 8 Journal of Elasticity 8 Journal of Mathematical Imaging and Vision 8 Journal of Nonlinear Science 8 Calculus of Variations and Partial Differential Equations 7 Bulletin of the Australian Mathematical Society 7 Nuclear Physics. B 7 Czechoslovak Mathematical Journal 7 Inventiones Mathematicae 7 Kodai Mathematical Journal 7 Systems & Control Letters 7 Communications in Partial Differential Equations 7 Linear Algebra and its Applications 7 Bulletin of the American Mathematical Society. New Series 6 Biological Cybernetics 6 Communications on Pure and Applied Mathematics 6 Annales de l’Institut Fourier 6 Archiv der Mathematik 6 Journal of Mathematical Economics 6 Journal of Optimization Theory and Applications 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Numerische Mathematik 6 Rendiconti del Seminario Matematico della Università di Padova 6 Tôhoku Mathematical Journal. Second Series 6 Physica D 6 Stochastic Processes and their Applications 6 International Journal of Modern Physics D 6 Geometry & Topology 6 Bulletin of the Brazilian Mathematical Society. New Series 5 International Journal of Control 5 Physics Letters. A 5 Journal of Functional Analysis 5 Journal für die Reine und Angewandte Mathematik 5 International Journal of Mathematics 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Acta Mathematica Sinica. English Series 5 Qualitative Theory of Dynamical Systems 4 The Mathematical Intelligencer 4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 4 Mathematical Systems Theory 4 Memoirs of the American Mathematical Society 4 Michigan Mathematical Journal 4 Monatshefte für Mathematik 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Applied Mathematical Modelling 4 Historia Mathematica 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 SIAM Journal on Mathematical Analysis 4 Boletim da Sociedade Brasileira de Matemática. Nova Série 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Advances in Applied Clifford Algebras 4 Journal of Dynamical and Control Systems 4 Analysis and Applications (Singapore) 4 Mediterranean Journal of Mathematics 4 Nonlinear Analysis. Theory, Methods & Applications 3 Acta Mechanica 3 American Mathematical Monthly 3 Israel Journal of Mathematics 3 Mathematical Biosciences 3 Physics Letters. B 3 Reports on Mathematical Physics 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Arkiv för Matematik 3 Reviews in Mathematical Physics 3 Annals of the Institute of Statistical Mathematics 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série ...and 272 more Serials
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### Cited in 60 Fields

 542 Differential geometry (53-XX) 164 Global analysis, analysis on manifolds (58-XX) 144 Partial differential equations (35-XX) 102 Manifolds and cell complexes (57-XX) 97 Numerical analysis (65-XX) 75 Dynamical systems and ergodic theory (37-XX) 69 Mechanics of deformable solids (74-XX) 64 Calculus of variations and optimal control; optimization (49-XX) 62 Computer science (68-XX) 62 Relativity and gravitational theory (83-XX) 52 Quantum theory (81-XX) 51 Mechanics of particles and systems (70-XX) 46 Statistics (62-XX) 45 Systems theory; control (93-XX) 42 Ordinary differential equations (34-XX) 40 Fluid mechanics (76-XX) 39 Algebraic topology (55-XX) 38 Several complex variables and analytic spaces (32-XX) 35 Probability theory and stochastic processes (60-XX) 34 Functions of a complex variable (30-XX) 32 Convex and discrete geometry (52-XX) 32 Operations research, mathematical programming (90-XX) 30 Functional analysis (46-XX) 29 Biology and other natural sciences (92-XX) 28 Topological groups, Lie groups (22-XX) 27 Algebraic geometry (14-XX) 27 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 22 Real functions (26-XX) 21 Geometry (51-XX) 19 Nonassociative rings and algebras (17-XX) 18 Operator theory (47-XX) 18 Optics, electromagnetic theory (78-XX) 15 Approximations and expansions (41-XX) 14 History and biography (01-XX) 14 Information and communication theory, circuits (94-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 12 Statistical mechanics, structure of matter (82-XX) 11 General and overarching topics; collections (00-XX) 10 Measure and integration (28-XX) 10 General topology (54-XX) 9 Combinatorics (05-XX) 9 Number theory (11-XX) 8 Potential theory (31-XX) 7 Group theory and generalizations (20-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Commutative algebra (13-XX) 5 Associative rings and algebras (16-XX) 5 Category theory; homological algebra (18-XX) 4 Mathematical logic and foundations (03-XX) 4 Integral equations (45-XX) 3 Difference and functional equations (39-XX) 3 Integral transforms, operational calculus (44-XX) 3 Geophysics (86-XX) 2 $$K$$-theory (19-XX) 2 Special functions (33-XX) 2 Astronomy and astrophysics (85-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Sequences, series, summability (40-XX)

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