Three Infinities in Mathematics: Projective Geometry, Infinitesimal Analysis, Set Theory

Author:   Marco Panza ,  Daniele C. Struppa
Publisher:   Springer Nature Switzerland AG
ISBN:  

9783032002761


Pages:   431
Publication Date:   26 May 2026
Format:   Hardback
Availability:   Not yet available   Availability explained
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Three Infinities in Mathematics: Projective Geometry, Infinitesimal Analysis, Set Theory


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Author:   Marco Panza ,  Daniele C. Struppa
Publisher:   Springer Nature Switzerland AG
Imprint:   Springer Nature Switzerland AG
ISBN:  

9783032002761


ISBN 10:   3032002761
Pages:   431
Publication Date:   26 May 2026
Audience:   Primary & secondary/elementary & high school ,  Secondary
Format:   Hardback
Publisher's Status:   Active
Availability:   Not yet available   Availability explained
This item is yet to be released. You can pre-order this item and we will dispatch it to you upon its release.

Table of Contents

Introduction.- Part 1. Infinity in Projective Geometry.- The Geometry of the Painters.- Appendices to Chapter 1. Projective Geometry.- Part 2. Infinitesimal Analysis.- Inklings of Infinity in Greek Mathematics.- Appendices to Chapter 3.- The Birth and Development of Calculus.- Appendices to Chapter 4.- Part 3. Set Theory and Infinity.- Naive Set Theory.-  Appendice to Chapter 5.- Axiomatic Set Theory.- Appendices to Chapter 6.- Conclusions: Three Infinities or Just One?.

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Author Information

Marco Panza is currently Kennedy Professor of  Philosophy at Chapman University, where he is a member of both departments of philosophy and mathematics, and Director of the Graduate Program MPP (Mathematics, Philosophy and Physics) at the Schmid College of Science and Technology. He is also Emeritus Research Director at the CNRS and a member of the IHPST (CNRS and Univ. of Paris 1, Panthéon-Sorbonne). He held also positions at the University of Geneva, Nantes and at ICREA (Univ. Pompeu Fabra, Barcelona). He is the author of several peer reviewed articles and books in the domains of history and philosophy of mathematics and logic, and is presently co-editor in Chief of Historia Mathematica.   Daniele C. Struppa is currently the President of Chapman University, where he also holds the Donald Bren Presidential Chair in Mathematics. Before joining Chapman University as its Provost in 2006, he held positions at George Mason University in Virginia, and at the University of Calabria, the Scuola Normale Superiore in Pisa, and the University of Milano, all in Italy. Daniele C. Struppa has published more than 250 peer reviewed articles and books in a variety of topics, but his current emphasis is on Fourier Analysis, with applications to Quantum Physics, and on Hypercomplex Analysis. He was the recipient of the Bartolozzi Prize of the Italian Mathematical Union in 1981, for his work on convolution equations, and more recently one of his papers on the violation of the pigeonhole principle in quantum physics was awarded the 2016 Cozzarelli Prize from the National Academy of Sciences. Daniele C. Struppa is also a Managing Editor of Quantum Studies, Mathematics and Foundations, and is on the Editorial Board of several journals, including Complex Analysis and Operator Theory, and the Milan Journal of Mathematics.

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