Applied mathematics for junior high schools and high schools

University Of California Libraries, E. H. (Eugene Henry) Barker

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• Publié par: fiwyung
• Nombre de lectures: 46
• Langue: English
• Poids de l'ouvrage: 21 Mo

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iiiiiiiilii:l-J^^ IN MEMORIAM FLORIAN CAJORIO^^X^i^J^^A. (Ay /^n.-^-nx^'tin CX C^U ^V-a*t.^X-^ (. /f^o-^Ciy^.il^APPLIED MATHEMATICS FOR JUNIOR HIGH SCHOOLS ;AND : .%,, ;; -^ HIGH SCHO0tSji:V;i:-i^i BY EUGENE HENRY BARKER FORMBRLY HEAD OF THE DEPARTMENT OF MATHEMATICS IN THE POLYTECHNIC HIGH LOS CALIFORNIASCHOOL, ANGELES, ALLYN AND BACON BOSTON NEW YORK CHICAGO ATLANTA SAN FRANCISCOBYCOPYRIGHT, 1920. H. BARKEREUGENE CAJORl Nortoooti ^rcBB Co. Berwick & Smith Co.J. S. Gushing U.S.A.Norwood, Mass.,PREFACE , has been written to meetThis book the demand for a course in mathematics which shall coor-appliedpractical schoolroom lesson and thedinate the actual ofproblem industrial and commercial world. Itthe thepresents of mathematical information which is to be ofbody likely matter what one'sno be.service,daily occupation may Mathematics is the of twelveApplied outgrowth years in a ofof school over two thousandexperimentation high and the exercises in the book have stood thestudents, The andtest of classroom trial. haveexamples problems been selected from fields industrial, commercial,many as far as are suchmechanical, and,agricultural possible, as occur in the on the in thehousehold, farm, factory, inand at the office. The book teachable form:gives An treatment of the fundamental opera-(1) adequate tions of with attention to modernarithmetic, proper methods of theseperforming operations. A consideration of business transactions.ordinary(2) A with the ofsufficient(3) acquaintance symbols alge- bra and of to enable the student tooperationsalgebraic formulas.andinterpret apply simple to enable him to the(4) computeEnough geometry areas and of the commonvolumes geometric figures. A of charts and their use.(5) study graphic tables.in the use of mathematical(6) Training Practice in the to a result(7) computedpower judge with reference to its reasonableness. iii 9il35IV PREFACE drawn on various sources for thematerials,Having author takes this to his indebtednessopportunity express to numerous interested teachers and technical workers whose criticisms and advice have been of invaluable serv- ice in the of the book. does hepreparation Especially desire to to his friend Dr. Na-acknowledge obligation thaniel L. of the of forGardner, California,University assistance andkindly sympathetic encouragement. E. H. B. San Francisco, California, March, 1920.CONTENTS PAGE List of Illustrations and Maps vii CHAPTER I. Addition and Subtraction . . . . . . 1 II. Multiplication and Division 15 III. Fractions and Factors 34 IV. Decimals. Bills and Accounts 54 V. Percentage 69 VI. Denominate Numbers 93 VII. The ofUse Tables 124 VIII. Koot and Cube Root 135Square IX. Mensuration . . 146 X. Graphical Representation 168 XI. Ratio and Proportion 180 XII. The Use of Formulas . 196 XIII. Agricultural Problems 202 XIV. Mechanical 213 XV. Miscellaneous Problems 226