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Spivak, Michael (b. 1940 d. 2020)

Author ID: spivak.michael Recent zbMATH articles by "Spivak, Michael"
Published as: Spivak, Michael; Spivak, M.; Spivak, M. D.
Further Spellings: Spivak, Michael David
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 25 Publications since 1965, including 22 Books
3 Further Contributions

Publications by Year

Citations contained in zbMATH Open

24 Publications have been cited 1,546 times in 1,497 Documents Cited by Year
Morse theory. Based on lecture notes by M. Spivak and R. Wells. Zbl 0108.10401
Milnor, John W.
912
1963
Calculus on manifolds. A modern approach to classical theorems of advanced calculus. Zbl 0141.05403
Spivak, Michael
237
1965
A comprehensive introduction to differential geometry. Vol. I. 2nd ed. Zbl 0439.53001
Spivak, Michael
228
1979
A comprehensive introduction to differential geometry. Vol. 1-5. 3rd ed. with corrections. Zbl 1213.53001
Spivak, Michael
215
1999
A comprehensive introduction to differential geometry. Vol. III. 2nd ed. Zbl 0439.53003
Spivak, Michael
150
1979
A comprehensive introduction to differential geometry. Vol. 1. Zbl 0202.52001
Spivak, Michael
148
1970
A comprehensive introduction to differential geometry. Vol. II. 2nd ed. Zbl 0439.53002
Spivak, Michael
148
1979
A comprehensive introduction to differential geometry. Vol. 3. Zbl 0306.53001
Spivak, Michael
94
1975
A comprehensive introduction to differential geometry. Vol. V. 2nd ed. Zbl 0439.53005
Spivak, Michael
63
1979
A comprehensive introduction to differential geometry. Vol. 4. Zbl 0306.53002
Spivak, Michael
56
1975
Spaces satisfying Poincaré duality. Zbl 0185.50904
Spivak, Michael
47
1967
A comprehensive introduction to differential geometry. Vol. 5. Zbl 0306.53003
Spivak, Michael
35
1975
A comprehensive introduction to differential geometry. Vol. 2. Zbl 0202.52201
Spivak, Michael
28
1970
Calculus. Zbl 0159.34302
Spivak, Michael
25
1967
A comprehensive introduction to differential geometry. Vol. IV. 2nd ed. Zbl 0439.53004
Spivak, Michael
25
1979
Calculus. 4th ed. Zbl 1272.26002
Spivak, Michael
12
2008
Calculus. Corrected 3rd ed. Zbl 1117.26002
Spivak, Michael
10
2006
Calculus on manifolds. Zbl 0173.05104
Spivak, Michael
9
1968
Calculus. 2nd ed. Zbl 0458.26001
Spivak, Michael
5
1980
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
4
1977
The joy of TEX. A gourmet guide to typesetting with the \(AMS\)-TEXmacro package. 2nd ed. Zbl 0867.68117
Spivak, M. D.
4
1990
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.
3
2013
Physics for mathematicians. Mechanics I. Zbl 1281.70001
Spivak, Michael
2
2010
Some left-over problems from classical differential geometry. Zbl 0306.53004
Spivak, Michael
1
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.
3
2013
Physics for mathematicians. Mechanics I. Zbl 1281.70001
Spivak, Michael
2
2010
Calculus. 4th ed. Zbl 1272.26002
Spivak, Michael
12
2008
Calculus. Corrected 3rd ed. Zbl 1117.26002
Spivak, Michael
10
2006
A comprehensive introduction to differential geometry. Vol. 1-5. 3rd ed. with corrections. Zbl 1213.53001
Spivak, Michael
215
1999
The joy of TEX. A gourmet guide to typesetting with the \(AMS\)-TEXmacro package. 2nd ed. Zbl 0867.68117
Spivak, M. D.
4
1990
Calculus. 2nd ed. Zbl 0458.26001
Spivak, Michael
5
1980
A comprehensive introduction to differential geometry. Vol. I. 2nd ed. Zbl 0439.53001
Spivak, Michael
228
1979
A comprehensive introduction to differential geometry. Vol. III. 2nd ed. Zbl 0439.53003
Spivak, Michael
150
1979
A comprehensive introduction to differential geometry. Vol. II. 2nd ed. Zbl 0439.53002
Spivak, Michael
148
1979
A comprehensive introduction to differential geometry. Vol. V. 2nd ed. Zbl 0439.53005
Spivak, Michael
63
1979
A comprehensive introduction to differential geometry. Vol. IV. 2nd ed. Zbl 0439.53004
Spivak, Michael
25
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
4
1977
A comprehensive introduction to differential geometry. Vol. 3. Zbl 0306.53001
Spivak, Michael
94
1975
A comprehensive introduction to differential geometry. Vol. 4. Zbl 0306.53002
Spivak, Michael
56
1975
A comprehensive introduction to differential geometry. Vol. 5. Zbl 0306.53003
Spivak, Michael
35
1975
Some left-over problems from classical differential geometry. Zbl 0306.53004
Spivak, Michael
1
1975
A comprehensive introduction to differential geometry. Vol. 1. Zbl 0202.52001
Spivak, Michael
148
1970
A comprehensive introduction to differential geometry. Vol. 2. Zbl 0202.52201
Spivak, Michael
28
1970
Calculus on manifolds. Zbl 0173.05104
Spivak, Michael
9
1968
Spaces satisfying Poincaré duality. Zbl 0185.50904
Spivak, Michael
47
1967
Calculus. Zbl 0159.34302
Spivak, Michael
25
1967
Calculus on manifolds. A modern approach to classical theorems of advanced calculus. Zbl 0141.05403
Spivak, Michael
237
1965
Morse theory. Based on lecture notes by M. Spivak and R. Wells. Zbl 0108.10401
Milnor, John W.
912
1963
all top 5

Cited by 2,127 Authors

13 Garcia, Ronaldo A.
12 Dajczer, Marcos
10 Sotomayor, Jorge
8 Fiori, Simone
7 Klein, John Robert
6 Bürgisser, Peter
6 Larsen, Jens Christian
6 Lewicka, Marta
6 Rheinboldt, Werner C.
6 Schlenker, Jean-Marc
6 Zheng, Hong
5 Atzberger, Paul J.
5 Bank, Bernd
5 Düldül, Mustafa
5 Giusti, Marc
5 Gutierrez, Carlos
5 Heintz, Joos
5 Koenderink, Jan J.
5 Mira, Pablo
5 Palmas, Oscar
5 Patrangenaru, Victor
5 Pinkall, Ulrich
5 Romani, Giuliano
5 Sabitov, Idzhad Khakovich
5 Vlachos, Theodoros
4 Amat Plata, Sergio
4 Bates, Larry M.
4 Bernig, Andreas
4 Busquier, Sonia
4 Ciarlet, Philippe Gaston
4 de Azevedo Tribuzy, Renato
4 Duits, Remco
4 Erişir, Tülay
4 Eschenburg, Jost-Hinrich
4 Gálvez, Jose Antonio
4 Gross, Ben J.
4 Guadalupe, Irwen Válle
4 Howard, Ralph E.
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 Plaza, Sergio
4 Preston, Stephen C.
4 Souam, Rabah
4 Yao, Pengfei
4 Yavari, Arash
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 Boon, Wietse Marijn
3 Bratishchev, Aleksandr Vasil’evich
3 Broer, Henk W.
3 Capobianco, Giuseppe
3 Carlton, Eloise H.
3 Cazals, Frédéric
3 Chen, Gui-Qiang G.
3 Choe, Jaigyoung
3 Cresson, Jacky
3 Cruttwell, Geoffrey S. H.
3 da Silva, José Deibsom
3 da Silva, Luiz Carlos Barbosa
3 De Lellis, Camillo
3 Dillen, Franki
3 Driver, Bruce K.
3 Düldül, Bahar Uyar
3 Eugster, Simon Raphael
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 Hurtado, Ana
3 Iliev, Bozhidar Zakhariev
3 Ivanova-Karatopraklieva, Ivanka I.
3 Labourie, François
3 Law, Peter R.
3 Lembo, Marzio
3 Leung, Pui-Fai
3 Li, Haizhong
3 Lopes, Débora
3 Malchiodi, Andrea
...and 2,027 more Authors
all top 5

Cited in 420 Serials

38 Transactions of the American Mathematical Society
32 Journal of Geometry and Physics
29 Journal of Mathematical Analysis and Applications
25 Differential Geometry and its Applications
23 Proceedings of the American Mathematical Society
21 The Journal of Geometric Analysis
20 Mathematische Annalen
20 Mathematische Zeitschrift
18 Computer Aided Geometric Design
17 Results in Mathematics
16 Journal of Computational Physics
16 Journal of Differential Equations
15 Communications in Mathematical Physics
15 Annals of Global Analysis and Geometry
14 Archive for Rational Mechanics and Analysis
14 Applied Mathematics and Computation
14 Duke Mathematical Journal
13 Advances in Mathematics
13 Geometriae Dedicata
13 Journal of Functional Analysis
13 Topology and its Applications
12 General Relativity and Gravitation
12 Journal of Mathematical Imaging and Vision
12 International Journal of Geometric Methods in Modern Physics
11 Journal of Mathematical Physics
11 Rocky Mountain Journal of Mathematics
11 Automatica
11 Linear Algebra and its Applications
10 Computer Methods in Applied Mechanics and Engineering
10 International Journal of Theoretical Physics
10 Nuclear Physics. B
10 Journal of Computational and Applied Mathematics
10 Journal of Geometry
10 Manuscripta Mathematica
10 Systems & Control Letters
10 Journal of Mathematical Sciences (New York)
9 The Annals of Statistics
9 Physica D
9 Journal of Nonlinear Science
9 Calculus of Variations and Partial Differential Equations
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 Physics Letters. A
8 Annali di Matematica Pura ed Applicata. Serie Quarta
8 Inventiones Mathematicae
8 Tôhoku Mathematical Journal. Second Series
8 Historia Mathematica
8 Journal of Elasticity
7 Bulletin of the Australian Mathematical Society
7 Communications on Pure and Applied Mathematics
7 Annales de l’Institut Fourier
7 Archiv der Mathematik
7 Czechoslovak Mathematical Journal
7 Journal of Mathematical Economics
7 Kodai Mathematical Journal
7 Communications in Partial Differential Equations
7 Stochastic Processes and their Applications
7 Bulletin of the American Mathematical Society. New Series
7 Bulletin of the Brazilian Mathematical Society. New Series
6 Biological Cybernetics
6 International Journal of Control
6 Reports on Mathematical Physics
6 Journal of Optimization Theory and Applications
6 Mathematische Nachrichten
6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6 Numerische Mathematik
6 Rendiconti del Seminario Matematico della Università di Padova
6 Annals of Physics
6 International Journal of Modern Physics D
6 Geometry & Topology
5 Computers & Mathematics with Applications
5 European Journal of Physics
5 The Mathematical Intelligencer
5 Journal für die Reine und Angewandte Mathematik
5 Memoirs of the American Mathematical Society
5 Theoretical Computer Science
5 International Journal of Mathematics
5 Applied Mathematical Modelling
5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
5 Acta Mathematica Sinica. English Series
5 Journal of Dynamical and Control Systems
5 SIAM Journal on Imaging Sciences
5 Nonlinear Analysis. Theory, Methods & Applications
4 Acta Mechanica
4 American Mathematical Monthly
4 International Journal of Engineering Science
4 Israel Journal of Mathematics
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 International Journal for Numerical Methods in Engineering
4 Journal of Economic Theory
4 Mathematical Systems Theory
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 Journal of Scientific Computing
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Pattern Recognition
4 SIAM Journal on Mathematical Analysis
4 Mathematical Programming. Series A. Series B
4 Boletim da Sociedade Brasileira de Matemática. Nova Série
...and 320 more Serials
all top 5

Cited in 61 Fields

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

Citations by Year

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