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Three Infinities in Mathematics

Name: Three Infinities in Mathematics
Brand: Springer, Berlin
SKU: 9783032002761
Price: 350.67 RON
Availability: InStock

Projective Geometry, Infinitesimal Analysis, Set Theory

Autor: Marco Panza, Daniele C. Struppa

Limbă:

Legare: Copertă tare

Editura: Springer, Berlin

Disponibilitate: În depozitul extern

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This book is intended as conceptual introduction to three mathematical theories arising from the att...

Informații despre carte

Autor

Marco Panza, Daniele C. Struppa

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2025

Pagini

380

EAN

9783032002761

Enbook ID

49317611

Editura

Springer, Berlin

Greutate

832

Dimensiuni

155 x 235

Descriere completă

This book is intended as conceptual introduction to three mathematical theories arising from the attempt to understand (actual) infinity. Though the treatment does not avoid technical aspects, it tries to explain their origins and purposes. The book is divided into three parts, each composed of two chapters and a few appendices. Each part presents in detail one of three moments in which mathematicians made a concerted effort to control the idea of infinity: Projective Geometry, Infinitesimal Calculus, and Set Theory. The text includes exercises and philosophical and/or historical remarks. It is written both for non-mathematicians interested in understanding the most relevant ideas that govern these theories, and for professional mathematicians interested in exploring the possibility of a conceptually-engaged presentation of mathematical contents. The book can be used for advanced undergraduate students, as well as for beginning graduate students.