Logo - springer
Slogan - springer

Birkhäuser - Birkhäuser History of Science | The Legacy of Mario Pieri in Geometry and Arithmetic

The Legacy of Mario Pieri in Geometry and Arithmetic

Marchisotto, Elena Anne, Smith, James

2007, XIX, 494 p. 67 illus.

A product of Birkhäuser Basel
Available Formats:
eBook
Information

Springer eBooks may be purchased by end-customers only and are sold without copy protection (DRM free). Instead, all eBooks include personalized watermarks. This means you can read the Springer eBooks across numerous devices such as Laptops, eReaders, and tablets.

You can pay for Springer eBooks with Visa, Mastercard, American Express or Paypal.

After the purchase you can directly download the eBook file or read it online in our Springer eBook Reader. Furthermore your eBook will be stored in your MySpringer account. So you can always re-download your eBooks.

 
$129.00

(net) price for USA

ISBN 978-0-8176-4603-5

digitally watermarked, no DRM

Included Format: PDF

download immediately after purchase


learn more about Springer eBooks

add to marked items

Hardcover
Information

Hardcover version

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.

 
$169.00

(net) price for USA

ISBN 978-0-8176-3210-6

free shipping for individuals worldwide

usually dispatched within 3 to 5 business days


add to marked items

  • Introduces readers to Mario Pieri’s career and his studies in foundations, from both historical and modern viewpoints
  • First English translations, along with analyses, of two of his most important axiomatizations - his postulates for arithmetic; and his foundation of elementary geometry on the basis of point and sphere
  • Combines an engaging exposition, little-known historical notes, exhaustive references and an excellent index

The Italian mathematician Mario Pieri (1860-1913) played an integral part in the research groups of Corrado Segre and Giuseppe Peano, and thus had a significant, yet somewhat underappreciated impact on several branches of mathematics, particularly on the development of algebraic geometry and the foundations of mathematics in the years around the turn of the 20th century. This book is the first in a series of three volumes that are dedicated to countering that neglect and comprehensively examining Pieri’s life, mathematical work, and influence in such diverse fields as mathematical logic, algebraic geometry, number theory, inversive geometry, vector analysis, and differential geometry.

The Legacy of Mario Pieri in Geometry and Arithmetic introduces readers to Pieri’s career and his studies in foundations, from both historical and modern viewpoints, placing his life and research in context and tracing his influence on his contemporaries as well as more recent mathematicians. The text also provides a glimpse of the Italian academic world of Pieri's time, and its relationship with the developing international mathematics community. Included in this volume are the first English translations, along with analyses, of two of his most important axiomatizations—his postulates for arithmetic, which Peano judged superior to his own; and his foundation of elementary geometry on the basis of point and sphere, which Alfred Tarski used as a basis for his own system.

Combining an engaging exposition, little-known historical information, exhaustive references and an excellent index, this text will be of interest to graduate students, researchers, and historians with a general knowledge of logic and advanced mathematics, and it requires no specialized experience in mathematical logic or the foundations of geometry.

Content Level » Research

Keywords » Alfred Tarski - Arithmetic - Corrado Segre - Giuseppe Peano - History of Mathematics - Volume - algebra - algebraic geometry - geometry - mathematical logic - mathematics

Related subjects » Birkhäuser History of Science - Birkhäuser Mathematics

Table of contents 

Life and Works.- Foundations of Geometry.- Pieri’s Point and Sphere Memoir.- Foundations of Arithmetic.- Pieri’s Impact.- Pieri’s Works.

Popular Content within this publication 

 

Articles

Read this Book on Springerlink

Services for this book

New Book Alert

Get alerted on new Springer publications in the subject area of History of Mathematics.

Additional information