HOW TO MEASURE THE INFINITE: Mathematics with Infinite and Infinitesimal Numbers - Tapa dura

Di Nasso, Mauro; Benci, Vieri; VIERI BENCI & MAURO DI NASSO

 
9789812836373: HOW TO MEASURE THE INFINITE: Mathematics with Infinite and Infinitesimal Numbers
Tapa dura
ISBN 10: 9812836373 ISBN 13: 9789812836373
Editorial: World Scientific, 2019

Sinopsis

This book contains an original introduction to the use of infinitesimal and infinite numbers, namely, the Alpha-Theory, which can be considered as an alternative approach to nonstandard analysis.

The basic principles are presented in an elementary way by using the ordinary language of mathematics; this is to be contrasted with other presentations of nonstandard analysis where technical notions from logic are required since the beginning. Some applications are included and aimed at showing the power of the theory.

The book also provides a comprehensive exposition of the Theory of Numerosity, a new way of counting (countable) infinite sets that maintains the ancient Euclid's Principle: "The whole is larger than its parts". The book is organized into five parts: Alpha-Calculus, Alpha-Theory, Applications, Foundations, and Numerosity Theory.

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del autor

Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.

De la contraportada

This book provides a comprehensive exposition of a new way of counting (countable) infinite sets, in particular, numerosities that maintain the ancient Aristotle's principle: "The whole is larger than its parts." It also contains an original introduction to nonstandard analysis. The basic principles are presented in an elementary way by using the ordinary language of mathematics. This is to be contrasted with other introductions, where technical notions from logic are used which are not familiar to most mathematicians.

This book is the result of a scientific collaboration among different perspectives of mathematics. The first author is a leading figure in variational and topological methods in nonlinear analysis, and has cultivated a broad range of interests in applications of mathematics; while the second author is a specialist in mathematical logic and in the foundations of nonstandard analysis.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
World Scientific
Año de publicación
2019
Idioma
Inglés
ISBN 10 
9812836373
ISBN 13 
9789812836373
Encuadernación
Tapa dura
Número de páginas
346
Contacto del fabricante
no disponible
Persona responsable
no disponible