Edit Profile (opens in new tab) Mainzer, Klaus Co-Author Distance Author ID: mainzer.klaus Published as: Mainzer, Klaus; Mainzer, K. Documents Indexed: 33 Publications since 1972, including 18 Books 2 Contributions as Editor Co-Authors: 12 Co-Authors with 10 Joint Publications 449 Co-Co-Authors all top 5 Co-Authors 24 single-authored 5 Ebbinghaus, Heinz-Dieter 5 Hermes, Hans 5 Hirzebruch, Friedrich 5 Koecher, Max 5 Prestel, Alexander 5 Remmert, Reinhold W. 4 Lamotke, Klaus 4 Neukirch, Jürgen 2 Chua, Leon Ong 2 Schuster, Peter Michael 2 Schwichtenberg, Helmut 1 1 Centrone, Stefania 1 Ewing, John Harwood all top 5 Serials 2 Symmetry: Culture and Science 2 Graduate Texts in Mathematics 2 Grundwissen Mathematik 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 Notre Dame Journal of Formal Logic 1 Philosophia Mathematica 1 Physis. Nuova Serie 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Foundations of Physics 1 World Scientific Series on Nonlinear Science. Series A 1 SpringerBriefs in Complexity 1 Springer-Lehrbuch all top 5 Fields 20 General and overarching topics; collections (00-XX) 14 Computer science (68-XX) 10 Mathematical logic and foundations (03-XX) 9 Dynamical systems and ergodic theory (37-XX) 5 History and biography (01-XX) 4 Biology and other natural sciences (92-XX) 2 Group theory and generalizations (20-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Partial differential equations (35-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 17 Publications have been cited 79 times in 71 Documents Cited by ▼ Year ▼ Numbers. With an introduction by K. Lamotke. Transl. from the 2nd German ed. by H. L. S. Orde. Edited by J. H. Ewing. Zbl 0705.00001 Ebbinghaus, H.-D.; Hermes, H.; Hirzebruch, F.; Koecher, M.; Mainzer, K.; Neukirch, J.; Prestel, A.; Remmert, R. 33 1990 Numbers. With an introduction by Klaus Lamotke. Translated by H. L. S. Orde. Edited by John H. Ewing. Paperback ed. Zbl 0741.00003 Ebbinghaus, Heinz-Dieter; Hermes, Hans; Hirzebruch, Friedrich; Koecher, Max; Mainzer, Klaus; Neukirch, Jürgen; Prestel, Alexander; Remmert, Reinhold 7 1991 Local activity principle. Zbl 1294.37001 Mainzer, Klaus; Chua, Leon 7 2013 Symmetry and complexity. The spirit and beauty of nonlinear science. Zbl 1086.00002 Mainzer, Klaus 6 2005 The universe as automaton. From simplicity and symmetry to complexity. Zbl 1237.37002 Mainzer, Klaus; Chua, Leon O. 5 2012 Zahlen. 3., verb. Aufl. Zbl 0753.00004 Ebbinghaus, Heinz-Dieter; Hermes, Hans; Hirzebruch, Friedrich; Koecher, Max; Mainzer, Klaus; Neukirch, Jürgen; Prestel, Alexander; Remmert, Reinhold; Lamotke, Klaus 4 1992 Thinking in complexity. The computational dynamics of matter, mind and mankind. 5th revised and enlarged edition. Zbl 1163.37001 Mainzer, Klaus 3 2007 Thinking in complexity. The complex dynamics of matter, mind, and mankind. 2nd rev. and enl. ed. Zbl 0866.00019 Mainzer, Klaus 3 1996 Cellular neural networks and visual computing. Zbl 1140.68439 Mainzer, Klaus 3 2003 Geschichte der Geometrie. Zbl 0485.01001 Mainzer, Klaus 1 1980 Zahlen. (Numbers). Zbl 0543.00001 Ebbinghaus, H.-D.; Hermes, H.; Hirzebruch, Friedrich; Koecher, M.; Mainzer, K.; Prestel, A.; Remmert, Reinhold 1 1983 Computers – New wings of spirit? The evolution of computer-based technology, science, culture and philosophy. (Computer – Neue Flügel des Geistes? Die Evolution computergestützter Technik, Wissenschaft, Kultur und Philosophie.) Zbl 0921.00004 Mainzer, Klaus 1 1995 Mathematischer Konstruktivismus im Lichte Kantischer Philosophie. Zbl 0249.02003 Mainzer, K. 1 1972 Brain, computer, complexity. (Gehirn, Computer, Komplexität.) Zbl 0864.68079 Mainzer, Klaus 1 1997 Thinking in complexity: the complex dynamics of matter, mind, and mankind. 3rd rev. and enl. ed. Zbl 0897.00009 Mainzer, Klaus 1 1997 The digital and the real world. Computational foundations of mathematics, science, technology, and philosophy. With booklet ‘Supplements and corrections’. Zbl 1411.68007 Mainzer, Klaus 1 2018 Proof and computation. Digitization in mathematics, computer science, and philosophy. Based on the international autumn school “Proof and computation”, Fischbachau, Germany, October 3–8, 2016. Zbl 1400.03005 1 2018 The digital and the real world. Computational foundations of mathematics, science, technology, and philosophy. With booklet ‘Supplements and corrections’. Zbl 1411.68007 Mainzer, Klaus 1 2018 Proof and computation. Digitization in mathematics, computer science, and philosophy. Based on the international autumn school “Proof and computation”, Fischbachau, Germany, October 3–8, 2016. Zbl 1400.03005 1 2018 Local activity principle. Zbl 1294.37001 Mainzer, Klaus; Chua, Leon 7 2013 The universe as automaton. From simplicity and symmetry to complexity. Zbl 1237.37002 Mainzer, Klaus; Chua, Leon O. 5 2012 Thinking in complexity. The computational dynamics of matter, mind and mankind. 5th revised and enlarged edition. Zbl 1163.37001 Mainzer, Klaus 3 2007 Symmetry and complexity. The spirit and beauty of nonlinear science. Zbl 1086.00002 Mainzer, Klaus 6 2005 Cellular neural networks and visual computing. Zbl 1140.68439 Mainzer, Klaus 3 2003 Brain, computer, complexity. (Gehirn, Computer, Komplexität.) Zbl 0864.68079 Mainzer, Klaus 1 1997 Thinking in complexity: the complex dynamics of matter, mind, and mankind. 3rd rev. and enl. ed. Zbl 0897.00009 Mainzer, Klaus 1 1997 Thinking in complexity. The complex dynamics of matter, mind, and mankind. 2nd rev. and enl. ed. Zbl 0866.00019 Mainzer, Klaus 3 1996 Computers – New wings of spirit? The evolution of computer-based technology, science, culture and philosophy. (Computer – Neue Flügel des Geistes? Die Evolution computergestützter Technik, Wissenschaft, Kultur und Philosophie.) Zbl 0921.00004 Mainzer, Klaus 1 1995 Zahlen. 3., verb. Aufl. Zbl 0753.00004 Ebbinghaus, Heinz-Dieter; Hermes, Hans; Hirzebruch, Friedrich; Koecher, Max; Mainzer, Klaus; Neukirch, Jürgen; Prestel, Alexander; Remmert, Reinhold; Lamotke, Klaus 4 1992 Numbers. With an introduction by Klaus Lamotke. Translated by H. L. S. Orde. Edited by John H. Ewing. Paperback ed. Zbl 0741.00003 Ebbinghaus, Heinz-Dieter; Hermes, Hans; Hirzebruch, Friedrich; Koecher, Max; Mainzer, Klaus; Neukirch, Jürgen; Prestel, Alexander; Remmert, Reinhold 7 1991 Numbers. With an introduction by K. Lamotke. Transl. from the 2nd German ed. by H. L. S. Orde. Edited by J. H. Ewing. Zbl 0705.00001 Ebbinghaus, H.-D.; Hermes, H.; Hirzebruch, F.; Koecher, M.; Mainzer, K.; Neukirch, J.; Prestel, A.; Remmert, R. 33 1990 Zahlen. (Numbers). Zbl 0543.00001 Ebbinghaus, H.-D.; Hermes, H.; Hirzebruch, Friedrich; Koecher, M.; Mainzer, K.; Prestel, A.; Remmert, Reinhold 1 1983 Geschichte der Geometrie. Zbl 0485.01001 Mainzer, Klaus 1 1980 Mathematischer Konstruktivismus im Lichte Kantischer Philosophie. Zbl 0249.02003 Mainzer, K. 1 1972 all cited Publications top 5 cited Publications all top 5 Cited by 116 Authors 9 Ghiloni, Riccardo 7 Perotti, Alessandro 4 Stoppato, Caterina 3 Chua, Leon Ong 3 Kim, Hyongsuk 3 Tvalavadze, Marina V. 2 Alagöz, Yasemin 2 Choi, Hyuncheol 2 Garibaldi, Skip 2 Krieg, Aloys 2 Mainzer, Klaus 2 Mannan, Zubaer Ibna 2 Napedenina, Ekaterina 2 Özyurt, Gözde 2 Rajamani, Vetriveeran 2 Recupero, Vincenzo 2 Rochdi, Abdellatif 2 Rodríguez Palacios, Angel 2 Rosenfeld, Vladimir Raphael 1 Abdurahman, Abdujelil 1 Abudusaimaiti, Mairemunisa 1 Anastasio, Thomas J. 1 Anglin, W. S. 1 Aristidou, Michael 1 Atmanspacher, Harald 1 Avigad, Jeremy 1 Bajorska-Harapińska, Beata 1 Bascelli, Tiziana 1 Becerra Guerrero, Julio 1 Bishop, Robert C. 1 Błaszczyk, Piotr 1 Blunck, Andrea 1 Borovik, Alexandre V. 1 Cabrera García, Miguel 1 Calderón Martín, Antonio Jesús 1 Cuenca Mira, José Antonio 1 de Divitiis, Nicola 1 de Seguins Pazzis, Clément 1 Dieckmann, Claudia 1 Dieterich, Ernst 1 Edwards, Roderick 1 Eells, James jun. 1 Eie, Minking 1 Fayz, O. 1 Fischer, Philipp 1 Foreman, Brendan J. 1 Garay, Barnabas M. 1 Gokal, D. 1 Hailemariam, Kidus 1 Hu, Cheng 1 Jiang, Haijun 1 Kaidi, El Amin Mokhtar 1 Kanovei, Vladimir G. 1 Karnan, A. 1 Katz, Karin Usadi 1 Katz, Mikhail G. 1 Kleinfeld, Erwin 1 Krawczyk, Małgorzata J. 1 Kutateladze, Semën Samsonovich 1 Lackmann, Malte 1 Ladyman, James 1 Lambert, James H. 1 Lewintan, Peter 1 Liu, Yang 1 Ludew, Jakub Jan 1 Maignan, Aude 1 Martín González, Cándido 1 McGaffey, Thomas 1 Miguel García, Francisca 1 Mingers, John 1 Morales Campoy, Antonio 1 Morgenstern, Thomas 1 Motya, Noureddine 1 Nagamani, G. 1 Niederhöfer, Christian 1 Nordahl, Thomas E. 1 Ovsienko, Valentin Yu. 1 Paar, Vladimir 1 Papadopoulos, Athanase 1 Petersson, Holger P. 1 Ramírez, Maria Isabel 1 Read, Stephen 1 Ren, Guangbin 1 Robinson, Margaret M. 1 Rosandić, Marija 1 Rottmann, Michael 1 Schaps, David M. 1 Schmidt, Jan Cornelius 1 Segev, Yoav 1 Sherry, David M. 1 Sieber, Jan 1 Siegmund, Stefan 1 Slavova, Angela 1 Smoleń-Duda, Barbara 1 Tabachnikov, Serge L. 1 Tetzlaff, Ronald 1 Trostorff, Sascha 1 Vlahović, Ines 1 Wang, Hui 1 Wang, Xieping ...and 16 more Authors all top 5 Cited in 40 Serials 7 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Transactions of the American Mathematical Society 2 Rocky Mountain Journal of Mathematics 2 Chaos, Solitons and Fractals 2 The Mathematical Intelligencer 2 Advances in Mathematics 2 Journal of Algebra 2 Mathematische Zeitschrift 2 Proceedings of the American Mathematical Society 2 Linear Algebra and its Applications 2 Journal of Mathematical Sciences (New York) 2 Advances in Applied Clifford Algebras 2 Journal of Mathematical Chemistry 2 Foundations of Physics 2 Journal of Theoretical Biology 2 Open Mathematics 1 Communications in Algebra 1 Israel Journal of Mathematics 1 Mathematische Semesterberichte 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archiv der Mathematik 1 International Journal of Circuit Theory and Applications 1 Journal of Pure and Applied Algebra 1 Mathematics and Computers in Simulation 1 Synthese 1 Differential Geometry and its Applications 1 Annals of Physics 1 Elemente der Mathematik 1 European Journal of Operational Research 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Communications in Nonlinear Science and Numerical Simulation 1 Foundations of Science 1 Journal of Systems Science and Complexity 1 Natural Computing 1 Journal of Algebra and its Applications 1 Mediterranean Journal of Mathematics 1 Acta Universitatis Sapientiae. Mathematica 1 European Journal for Philosophy of Science 1 European Journal of Mathematics all top 5 Cited in 35 Fields 18 Nonassociative rings and algebras (17-XX) 12 Functions of a complex variable (30-XX) 10 Number theory (11-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 7 Ordinary differential equations (34-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Biology and other natural sciences (92-XX) 5 General and overarching topics; collections (00-XX) 5 History and biography (01-XX) 5 Mathematical logic and foundations (03-XX) 4 Functional analysis (46-XX) 4 Operator theory (47-XX) 4 Algebraic topology (55-XX) 4 Systems theory; control (93-XX) 4 Information and communication theory, circuits (94-XX) 3 Associative rings and algebras (16-XX) 3 Group theory and generalizations (20-XX) 3 Real functions (26-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Computer science (68-XX) 2 Field theory and polynomials (12-XX) 2 Geometry (51-XX) 2 Manifolds and cell complexes (57-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Quantum theory (81-XX) 1 Combinatorics (05-XX) 1 General algebraic systems (08-XX) 1 Category theory; homological algebra (18-XX) 1 \(K\)-theory (19-XX) 1 Special functions (33-XX) 1 Differential geometry (53-XX) 1 Numerical analysis (65-XX) 1 Fluid mechanics (76-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year