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Three Infinities in Mathematics

Name: Three Infinities in Mathematics
Brand: Springer, Berlin
SKU: 9783032002761
Price: 1455 CZK
Availability: InStock

Projective Geometry, Infinitesimal Analysis, Set Theory

Autor: Marco Panza, Daniele C. Struppa

Jazyk:

Vazba: Pevná

Vydavatel: Springer, Berlin

Dostupnost: Skladem u dodavatele

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

Informace o knize

Autor

Marco Panza, Daniele C. Struppa

Jazyk

Angličtina

Vazba

Kniha - Pevná

Vydáno

2025

Stránek

380

EAN

9783032002761

Enbook ID

49317611

Vydavatel

Springer, Berlin

Hmotnost

832

Rozměry

155 x 235

Kompletní popis

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.