TEXT-BOOKS ON ALGEBRA 



By WILLIAM J. MILNE, Ph.D., LL.D., President 

 .New York State Normal College, Albany, N. Y. 



ACADEMIC ALGEBRA ;?i.25 



MORE extended and more comprehensive than Milne's 

 High School Algebra, this work not merely states the 

 principles and laws of algebra, but establishes them 

 by rigorous proofs. The student first makes proper infer- 

 ences, then expresses the inferences briefly and accurately, 

 and finally proves their truth by deductive reasoning. The 

 definitions are very complete, and special applications and 

 devices have been added. The examples are numerous and 

 well graded, and the explanations which accompany the 

 processes, giving a more intelligent insight into the various 

 steps, constitute a valuable feature. The book meets the 

 requirements in algebra for admission to all of the colleges. 



ADVANCED ALGEBRA ^1.50 



THIS book covers fully all college and scientific school 

 entrance requirements in advanced algebra. While 

 the earlier pages are identical with the author's 

 Academic Algebra, more than 160 pages of new matter 

 have been added. Among the new subjects considered 

 are : incommensurable numbers, mathematical induction, 

 probabiHty, simple continued fractions, the theory of num- 

 bers, determinants, convergency of series, exponential and 

 logarithmic series, summation of series, and the theory of 

 equations, including graphical representation of fimctions of 

 one variable, and approximation to incommensurable roots. 

 Over 5,000 unsolved exercises and problems are included in 

 the book. The treatment is full, rigorous, and scientific. 



AMERICAN BOOK COMPANY 



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