本書是范德瓦爾登所著，是代數(shù)學(xué)中的經(jīng)典，為後代代數(shù)學(xué)者所推崇並被大量引用。本書得到馮克勤、胡作玄等人的推薦。
范德瓦爾登的《代數(shù)學(xué)》作為現(xiàn)代數(shù)學(xué)的奠基之作,在提出問題、組織材料、構(gòu)建體系等方面能推陳出新,並注意對已有成果進行思想闡釋.既研究普通數(shù)學(xué)對像間的聯(lián)繫,又研究已有成果間的邏輯關(guān)係;注重數(shù)學(xué)思想的繼承與發(fā)展,能挖掘方法論的本質(zhì);該著作使用的方法成為後世同類工作的楷模,影響深遠.
作者簡介：
Bartel Leendert van der Waerden (February 2, 1903, Amsterdam, Netherlands – January 12, 1996, Zürich, Switzerland) was a Dutch mathematician.
Van der Waerden learned advanced mathematics at the University of Amsterdam and the University of G?ttingen, from 1919 until 1926. He was much influenced by Emmy Noether at G?ttingen. Amsterdam awarded him a Ph.D. for a thesis on algebraic geometry, supervised by Hendrick de Vries. G?ttingen awarded him the habilitation in 1928.
In his 27th year, Van der Waerden published his Algebra, an influential two-volume treatise on abstract algebra, still cited, and perhaps the first treatise to treat the subject as a comprehensive whole. This work systematized an ample body of research by Emmy Noether, David Hilbert, Richard Dedekind, and Emil Artin. In the following year, 1931, he was appointed professor at the University of Leipzig.
The Third Reich made life difficult for Van der Waerden as a foreigner teaching in Germany, but he refused to give up his Dutch nationality. He filled the chair in mathematics at the University of Amsterdam, 1948–1951, then moved to the University of Zurich, where he spent the rest of his career, supervising more than 40 Ph.D. students.
Van der Waerden is mainly remembered for his work on abstract algebra. He also wrote on algebraic geometry, topology, number theory, geometry, combinatorics, analysis, probability and statistics, and quantum mechanics (he and Heisenberg had been colleagues at Leipzig). In his later years, he turned to the history of mathematics and science. His historical writings include Ontwakende wetenschap (1950), which was translated into English as Science Awakening (1954), Geometry and Algebra in Ancient Civilizations (1983), and A History of Algebra (1985).
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