CAJ | 학술논문

18世纪的数学家已经发现，并非所有的无理数都可以通过有理数的代数运算而得到．19世纪中叶，关于代数无理数与超越数的工作，使人们朝着更好地了解无理数的方向又前进了一步．超越数的发现，使数学家们明白了它的范围和种类都比无理数丰富得多．超越数与代数数理论的建立，彻底解决了困扰数学家两千多年的三大尺规作图难题．
18세기적수학가이경발현，병비소유적무리수도가이통과유리수적대수운산이득도．19세기중협，관우대수무리수여초월수적공작，사인문조착경호지료해무리수적방향우전진료일보．초월수적발현，사수학가문명백료타적범위화충류도비무리수봉부득다．초월수여대수수이론적건립，철저해결료곤우수학가량천다년적삼대척규작도난제．
It was found out by some mathematicians in 18th century that not all irrational numbers can be turned out through algebraic operation of rational numbers.In the mid-1 800s,the study concerning irrational number and transcen-dental number was a step closer to better understanding of irrational number.Upon being discovered,transcendental number has been attracting the attention of mathematicians with it’s wider range and more sorts off than irrational num-ber.The discovery of transcendental number,along with the establishment of the algebra theory,offers a thorough solu-tion to three difficult problems of compass and straightedge construction,which have haunted all mathematicians for more than 2 000 years.