内容简介
《代数学1》共分两卷，涉及的面很广，可以说概括了1920—1940年代数学的主要成就，也包括了1940年以后代数学的新进展，是代数学的经典著作之一《代数学1》是第一卷，分成11章：前5章以小的篇幅包括了为所有其余各章作准备的知识，即有关集合、群、环、域、向量空间和多项式的基本的概念；其余各章主要讲述交换域的理论，包括Galois理论和实域。
作者简介
BartelLeendertvanderWaerden(February2,1903,Amsterdam,Netherlands–January12,1996,Zürich,Switzerland)wasaDutchmathematician.VanderWaerdenlearnedadvancedmathematicsattheUniversityofAmsterdamandtheUniversityofGöttingen,from1919until1926.HewasmuchinfluencedbyEmmyNoetheratGöttingen.AmsterdamawardedhimaPh.D.forathesisonalgebraicgeometry,supervisedbyHendrickdeVries.Göttingenawardedhimthehabilitationin1928.Inhis27thyear,VanderWaerdenpublishedhisAlgebra,aninfluentialtwo-volumetreatiseonabstractalgebra,stillcited,andperhapsthefirsttreatisetotreatthesubjectasacomprehensivewhole.ThisworksystematizedanamplebodyofresearchbyEmmyNoether,DavidHilbert,RichardDedekind,andEmilArtin.Inthefollowingyear,1931,hewasappointedprofessorattheUniversityofLeipzig.TheThirdReichmadelifedifficultforVanderWaerdenasaforeignerteachinginGermany,butherefusedtogiveuphisDutchnationality.HefilledthechairinmathematicsattheUniversityofAmsterdam,1948–1951,thenmovedtotheUniversityofZurich,wherehespenttherestofhiscareer,supervisingmorethan40Ph.D.students.VanderWaerdenismainlyrememberedforhisworkonabstractalgebra.Healsowroteonalgebraicgeometry,topology,numbertheory,geometry,combinatorics,analysis,probabilityandstatistics,andquantummechanics(heandHeisenberghadbeencolleaguesatLeipzig).Inhislateryears,heturnedtothehistoryofmathematicsandscience.HishistoricalwritingsincludeOntwakendewetenschap(1950),whichwastranslatedintoEnglishasScienceAwakening(1954),GeometryandAlgebrainAncientCivilizations(1983),andAHistoryofAlgebra(1985).
