OCTOBBE 16, 1914] 



SCIENCE 



559 



SCIENTIFIC BOOKS 



RECENT BOOKS ON MATHEMATICS 



Memorabilia Mathemaiica or The Philomath's 

 Quoiation-hook. By Eobeet Edouard 

 MoRiTZ, Ph.D., Pli.lSr.D., Professor of Mathe- 

 matics in the University of Washington. 

 New York, The Maemillan Company. 1914. 

 Pp. vii + 410. 



Analytical Geometry of Space. By Virgil 

 Snyder, Ph.D., Professor of Mathematics at 

 Cornell University, and C. H. Sisam, Ph.D., 

 Assistant Professor of Mathematics at the 

 University of Illinois. New York, Henry 

 Holt and Company. 1914. Pp. xi + 285. 



Analytic Geometry and Principles of Algebra. 

 By Alexander Ziwet, Professor of Mathe- 

 matics, the University of Michigan, and 

 Louis Allen Hopkins, Instructor in Mathe- 

 matics, the University of Michigan. New 

 York, The MacmiUan Company. 1913. Pp. 

 viii + 369. 



Higher Algebra. By Herbert E. Hawkes, 

 Ph.D., Professor of Mathematics in Colum- 

 bia University. Boston, Ginn and Company. 

 Pp. iv + 222. 



Industrial Mathematics. By Horace Wilmar 

 Marsh, Head of Department of Mathe- 

 matics, School of Science and Technology, 

 Pratt Institute, with the collaboration of 

 Annie Griswold Pordyce Marsh. New York, 

 John Wiley and Sons. 1913. Pp. viii + 

 477. 



Trigonometry. By Alfred Monroe Kenyon, 

 Professor of Mathematics, Purdue Univer- 

 sity, and Louis Ingold, Assistant Professor 

 of Mathematics, the University of Missouri. 

 Edited by Earl Raymond Hedrick. New 

 York, the Maemillan Company. 1913. Pp. 

 xi + 132 + xvii + 124. 



Trigonometry for Schools and Colleges. By 

 Frederic Anderegg, A.M., Professor of 

 Mathematics in Oberlin College, and Ed- 

 ward Drake Eoe, Jr., Ph.D., Professor of 

 Mathematics in Syracuse University. Bos- 

 ton, Ginn and Company. Pp. viii + 108. 



Advanced Algebra. By Jos. V. Collins, Ph.D., 

 Professor of Mathematics, State Normal 

 School, Stevens Point, Wisconsin. New 



York, American Book Company. 1913. Pp. 

 x+342. 



The Algebra of Logic. By Louis Couturat. 

 Authorized translation by Lydia Gillingham 

 EoBiNSON, B.A., with a Preface by Philip E. 

 B. JouRDAiN, M.A. (Cantab.). 1914. Chi- 

 cago and London : The Open Court Publish- 

 ing Company. Pp. xiv + 98. 



A History of Japanese Mathematics. By 

 David Eugene Smith and Yoshio Mikaml 

 Chicago, The Open Court Publishing Com- 

 pany. 1914. Pp. V + 288. 

 Thousands of readers will be grateful to the 

 author and the publishers for a work that is 

 so beautiful, both physically and spiritually, 

 as the " Memorabilia." The ideal that re- 

 quires us to dispense entirely with authority 

 and to hold no beliefs and form no judgments 

 not based on evidence examined by ourselves 

 is not attainable. If it were, it would not be 

 an ideal. In the future it will be necessary, as 

 it has been in the past, for all men and wo- 

 men to depend for the most part upon bor- 

 rowed estimates. Even if it were not, we 

 should still value as such the opinions of 

 others, especially when expressed in worthy 

 and lasting form. In view of such considera- 

 tions such an undertaking as that of Professor 

 Moritz is amply justified and especially so be- 

 cause this work of his is the first of its kind in 

 the English language. Nor has he, except in 

 the ease of " a small number of famous utter- 

 ances," duplicated Eebiere's " Mathematiques 

 et Mathematiciens " or the " Scherz und Ernst 

 in der Mathematik " of Ahrens. We have 

 here more than a thousand utterances of 

 more than three hundred authors regarding 

 the nature and value of mathematics. The 

 quotations vary in length from a line to sev- 

 eral scores of lines, and all of them are in 

 English. In the case of borrowed translations, 

 the translator's name is given. At the end of 

 each passage there are given the author's name 

 and the source of the extract. An attempt to 

 group the material under heads has resulted 

 in dividing the volume into twenty-one chap- 

 ters. Moreover, the final index refers to nearly 

 seven hundred topics. The list of authors, 



