000 04000nam a22005055i 4500
001 978-0-8176-4603-5
003 DE-He213
005 20181204132642.0
007 cr nn 008mamaa
008 100301s2007 xxu| s |||| 0|eng d
020 _a9780817646035
_9978-0-8176-4603-5
024 7 _a10.1007/978-0-8176-4603-5
_2doi
040 _aISI Library, Kolkata
050 4 _aQA21-27
072 7 _aPBX
_2bicssc
072 7 _aMAT015000
_2bisacsh
072 7 _aPBX
_2thema
082 0 4 _a510.9
_223
100 1 _aMarchisotto, Elena Anne.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 4 _aThe Legacy of Mario Pieri in Geometry and Arithmetic
_h[electronic resource] /
_cby Elena Anne Marchisotto, James T. Smith.
264 1 _aBoston, MA :
_bBirkhäuser Boston,
_c2007.
300 _aXIX, 494 p. 67 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aLife and Works -- Foundations of Geometry -- Pieri’s Point and Sphere Memoir -- Foundations of Arithmetic -- Pieri’s Impact -- Pieri’s Works.
520 _aThe 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.
650 0 _aGeometry.
650 0 _aGeometry, algebraic.
650 0 _aLogic, Symbolic and mathematical.
650 1 4 _aHistory of Mathematical Sciences.
_0http://scigraph.springernature.com/things/product-market-codes/M23009
650 2 4 _aGeometry.
_0http://scigraph.springernature.com/things/product-market-codes/M21006
650 2 4 _aAlgebraic Geometry.
_0http://scigraph.springernature.com/things/product-market-codes/M11019
650 2 4 _aMathematical Logic and Foundations.
_0http://scigraph.springernature.com/things/product-market-codes/M24005
700 1 _aSmith, James T.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780817670313
776 0 8 _iPrinted edition:
_z9780817632106
856 4 0 _uhttps://doi.org/10.1007/978-0-8176-4603-5
912 _aZDB-2-SMA
942 _cEB
950 _aMathematics and Statistics (Springer-11649)
999 _c425438
_d425438