E. Use of the Library

Bell, E.T. Men of Mathematics, Simon and Schuster Co., 1937. A biographical chapter on each of 30 outstanding mathematicians. A small part of the material will transcend the comprehension of the high-school student .

Boyer, L.E. Mathematics—A Historical Development, Henry Holt and Co., 1945. Good supplementary material for high-school courses, with numerous problems and examples. Answers to odd numbers. Topics embrace the fields of arithmetic, algebra, geometry, trigonometry, measurement. The treatment is broadening and enriching to any course.

Cajori, Florian. History of Elementary Mathematics, Macmillan Co. , 1927. Though old, this book is a standard reference, written by a recognized authority. Deals with evolution of numbers systems, computation, algebra, geometry, and trigonometry.

Dantzig, T. Number—The Language of Science, Macmillan Co., 1933. A philosophical treatment of number, developed historically, from early mysticism to modern mathematical analysis. Much of this is intelligible to the high-school pupil and will broaden his perspective.

Hooper, A. Makers of Mathematics, Random House, Publishers, 1948 . The dramatic unfolding of the epic of mathematics, from finger counting to calculus, presented in a simple and fascinating manner.

Sanford, Vera. A Short History of Mathematics, Houghton Mifflin Co., 1930. A brief chronological survey, followed by a more detailed historical development by separate fields, through the calculus. Includes chapters on famous problems, instruments, weights and measures, and mathematical textbooks.

Smith, D.E. History of Mathematics, Ginn and Co., 1923-25. (2 volumes): Vol. I General Survey of the History of Elementary Mathematics; Vol. II Topical Survey of the History of Elementary Mathematics. Comprehensive, documented, and well indexed, standard authority in the field. Volume I is chronological, and Volume II deals with areas and topics within single chapters .

Smith, D.E. Number Stories of Long Ago, National Council of Teachers of Mathematics , 1201 16th St. N. W., Washington, D. C., 1951 . Entertaining stories about numbers, actually told by a story-teller, but with authentic and instructive mathematical content. Good particularly for intermediate grades and junior high school.

Buell, C.E. Mathematics for the Sheet Metal Worker, Pitman Pub. Co . Written by a man experienced in the trade, it is helpful and motivational for a boy interested in this line of work.

Felker, C.A. Shop Mathematics, Bruce Pub. Co., 1941 . Throughout the book, shop mathematics is correlated with shop practice by means of practical material.

Ghyka, M. The Geometry of Art and Life, Sheed and Ward, 1946. Explains the mathematical principles underlying form, symmetry, and proportion. Clear and simply developed, it enhances appreciation of both fields—art and mathematics.

Kuehn, M.H. Mathematics for Electricians, McGraw-Hill, 1941. Simple electrical problems with D.C. and A.C. circuits. Large number of problems involving high-school mathematics. Includes instruction in the slide rule.

McGee, R.V. Mathematics in Agriculture, Prentice Hall, Inc. The boy interested in farming will find a large number of applications of elementary mathematics to agricultural economics and agricultural mechanics .

Naidich, J. Mathematics for the Aviation Trade, McGraw-Hill . Elementary mathematics applied to aeronautical design, construction, and maintenance. Designed for student mechanics on the job, all the problems are directly connected to the aviation trades. Chapters on the steel rule, decimals in aviation, areas, volumes, weights, angles and construction, graphic representation of airplane data, compression ratio, valve timing, bend allowance.

Osteyee, G. Mathematics in Aviation, Macmillan Co., 1942. Prepared in co-operation with the Civil Aeronautics Administration. Terminology of aviation, air express, design problems, center of gravity, radius of action, interception, etc.

Schaaf, W.L. Mathematics for Mechanics, Garden City Pub Co. , This book has value for a boy interested in this trade, as well as motivational value for his mathematics.

Slade, S. , and Margolis, L. Mathematics for Technical and Vocational Schools, John Wiley Co., 1946. Practical elementary mathematics through trigonometry applied to machine and woodworking. Strength of materials, screw threads, pulleys and gears, and various machine shop problems .

Abbott, E.A. Flatland, Dover Publications, N. Y., 1952. A popular treatment of the fourth dimension in fairy story form.

Anderson, R.W. Romping Through Mathematics, Alfred Knopf Co., 1947. A popular account of the development of the various branches of elementary mathematics through calculus.

Bishop, C.C. Practical Use of the Slide Rule, Current Publishing Co. , 212 5th Ave., N. Y., 1944. Clear and well-organized instruction with illustrations. Shows many short-cuts of practical value in various situations.

Cooley, H.R. ; Gans, D. ; Kline, M. ; and Wahlert, H.E. Introduction to Mathematics, 2nd Edition, Houghton Mifflin Co., 1949. A survey emphasizing mathematical ideas and their relations to other fields of knowledge. Deals with the nature of mathematical systems; includes an elementary treatment of non-Euclidean geometry, theory of relativity, and infinite classes .

Dresden, Arnold. An Invitation to Mathematics, Henry Holt and Co ., 1936. Aimed toward general education in the field, with a minimum of technical details. A broad coverage of mathematical ideas and processes, including some more advanced ones.

Gardner, R.S. Instruments for the Enrichment of Secondary School Mathematics, Edwards Brothers, 1951. Description and mathematical explanation of numerous simple measuring and computing instruments, including abacus, verniers, slide rules, pantograph, and several surveying instruments .

Harris, C.O. Slide Rule Simplified, American Tech. Society, 1943. A simple, but thorough, instruction in the use of the slide rule. Many examples, problems, and review questions.

Hogben, L. Mathematics for the Million, W. W. Norton and Co ., 1940. A good, and thoroughly functional, survey of elementary mathematical concepts, from arithmetic through calculus. Almost all of it is readable on the high-school level. Well explained and illustrated. Considerable historical development.

Jones, B.W. Elementary Concepts of Mathematics, Macmillan Co. , 1947. This treatise provides deeper insight into elementary concepts of mathematics with interesting applications. Elementary number theory, logic, probability, topology, and some advanced topics in modern geometry .

Kokomoor, F.W. Mathematics in Human Affairs, Prentice Hall Co ., 1946. An elementary treatise of mathematical concepts and processes. Unusually clear and well illustrated, with a plethora of examples; historical development, and with human interest.

Lloyd, D.B. A Golden Decade of Popular Mathematics, 1948, The author, Wilson Teachers College, Washington, D. C. (50c) A comprehensive bibliography of periodical references to help the pupil broaden and deepen his understanding and appreciation of various branches of mathematics. The bibliography is classified topically .

Loomis, E.S. The Pythagorean Proposition, Edwards Brothers, Ann Arbor, Michigan, 1940. This is a comprehensive collection of proofs of this famous theorem. Nearly 200 different proofs based on dissection, algebra, geometry, trigonometry, and even calculus and mechanics are included.

Manning, H.P. Fourth Dimension, Peter Smith, 347 Fifth Ave., N. Y. A popular treatment of the theory of the fourth dimension .

Moore, J.H. , and Mira, J.A. The Gist of Mathematics, Prentice Hall Company , 1942. A wealth of supplementary material for high-school courses, from elementary algebra to elements of calculus; ample examples and problems on all topics. Well prepared and illustrated.

National Council of Teachers of Mathematics, 18th Yearbook, Multi-Sensory Aids in the Teaching of Mathematics, Bureau of Publications, Teachers College, Columbia Univ., N. Y., 1945. Best standard reference on making of mathematical models and other learning aids. Wide variety of suggestions for home-made devices and equipment illustrating mathematical principles. Profusely illustrated.

National Council of Teachers of Mathematics, 20th Yearbook, The Metric System of Weights and Measures, Bureau of Publications, Teachers College, Columbia Univ., N. Y., 1948. Comprehensive picture of present status of metric usage. History of its growth and desirability for world-wide adoption.

Row, T. S. Geometric Exercises in Paper Folding, Open Court Pub. Co. , 1941, $1.25. Tells how to make geometric figures and designs by folding paper. Most of the exercises require elementary geometry, but some require knowledge of advanced principles.

Shuster, C.N. , and Bedford, F.L. Fieldwork in Mathematics, Yoder Instrument Co., East Palestine, Ohio, 1935. Description and mathematical explanation of numerous surveying instruments, both home-made and commercial types, from angle-mirrors to transits, levels, and sextants. Practical surveying methods and field work practices. Numerous problems and projects. Slide rule, sundial, verniers, scale drawings, etc.

Yates, R.C. The Trisection Problem, Edwards Brothers, Ann Arbor, Mich., 1942. A brief history and a proof of the impossibility of trisecting an angle by ruler and compass alone. Numerous approximate solutions with comments.

Bakst, A. Mathematics—Its Magic and Mastery, D. Van Nostrand , 1941. An extensive collection of mathematical recreations of wide variety involving elementary mathematics .

Ball, W.W.R. Mathematical Recreations and Essays, Macmillan Co., 1947. Classical English work in the field of famous mathematical recreations. Much historical material is included, a chapter on calculating prodigies and the three famous Greek problems.

Degrazia, Joseph. Mathematics Is Fun, The Gresham Press, N. Y., 1948. A collection of 200 entertaining problems of the unique type (with solutions), requiring only high-school mathematics. Numerous problems in cryptic arithmetic are included .

Jones, S.I. Mathematical Clubs and Recreations, S. I. Jones Co., 1122 Belvidere Dr., Nashville, Tenn., 1940. Mathematical recreations and games suitable for club programs. Organization of clubs.

Jones, S.I. Mathematical Nuts, S. I. Jones Co., 1122 Belvidere Dr., Nashville, Tenn., 1940. Companion to the other two books. Additional brain teasers and thought-provoking exercises .

Jones, S.I. Mathematical Wrinkles, S. I. Jones Co., 1122 Belvidere Dr., Nashville, Tenn. 1940. Additional fascinating exercises; fourth dimension, mensuration, short methods, etc

Kasner, E. , and Newman, J. Mathematics and the Imagination, Simon and Schuster , 1940. A treatment of arithmetical and geometrical fallacies and paradoxes, the underlying idea of calculus and its applications, squaring the circle, pi, etc.

Kraitchik, M. Mathematical Recreations, W. W. Norton Co., 1942. Numerous pastimes, magic squares, chess problems, the calendar, permutational, and other arithmetical and geometrical problems .

Licks, H.E. Recreations in Mathematics, D. Van Nostrand Co . Instructive and fascinating questions, problems, and items in arithmetic, algebra, geometry, trigonometry, analytic geometry, calculus, astronomy, the calendar, mechanics, and physics.

Lieber, L.R. The Education of T. C. Mits, W. W. Norton Co., $2.50, 1944. Whimsical style, but instructive in content, it deals with mathematics in a fascinating way, emphasizing axiomatics.

Meyer, J.S. Fun with Mathematics, World Book Co., 313 Park Hill Ave., Yonkers 5, N. Y., 1952. A book of mathematical curiosities and tricks designed for young people but of interest to all ages. It extends as far as calculus.

Mott-Smith, Geoffrey. Mathematical Puzzles for Beginners and Enthusiasts, Blakiston Co., Philadelphia, Pa., 1946. Some 200 puzzle problems, with solutions, involving elementary mathematics and logical methods. Dissection, permutational, decimation, probability, cryptic arithmetic, anagrams, and numerous other types are featured.

Northrup, E.P. Riddles in Mathematics—a Book of Paradoxes, D. Van Nostrand, 1944. Entertaining fallacies and paradoxes in arithmetic, algebra, geometry, probability, logic, and higher mathematics.

Steinhaus, H. Mathematical Snapshots, Oxford Press, 114 5th Ave., N. Y., 1950. Mathematical recreations and other puzzles, related to maps, chess, knots, partitions, etc.