. Applied calculus; principles and applications . .^^Vj^t.^V /.• r.^.^^* o^r^^To^^0 ^- -••• ■* APPLIED CALCULUS PRINCIPLES AND APPLICATIONS ESSENTIALS FOR STUDENTSAND ENGINEERS BY ROBERT GIBBES THOMAS Professor of Mathematics and Engineering at the Citadel,The Military College of South Carolina 45 EXERCISES - 166 FIGURES. NEW YORK D. VAN NOSTRAND COMPANY 25 Park Place 1919 ^ ^% Copyright, 1919, BY D. VAN NOSTRAND COMPANY NOV-5 1819 Stanbopc iptcss F. COMPANYBOSTON, ©;!6 4a8 PREFACE This book as a first course in the Calculus is not designedto be a complete exposition of the
. Applied calculus; principles and applications . .^^Vj^t.^V /.• r.^.^^* o^r^^To^^0 ^- -••• ■* APPLIED CALCULUS PRINCIPLES AND APPLICATIONS ESSENTIALS FOR STUDENTSAND ENGINEERS BY ROBERT GIBBES THOMAS Professor of Mathematics and Engineering at the Citadel,The Military College of South Carolina 45 EXERCISES - 166 FIGURES. NEW YORK D. VAN NOSTRAND COMPANY 25 Park Place 1919 ^ ^% Copyright, 1919, BY D. VAN NOSTRAND COMPANY NOV-5 1819 Stanbopc iptcss F. COMPANYBOSTON, ©;!6 4a8 PREFACE This book as a first course in the Calculus is not designedto be a complete exposition of the Calculus in either itsprinciples or its applications. It is an effort to make clearthe basic principles and to show that fundamental ideas areinvolved in famihar problems. While formulas and alge-braic methods are necessary aids to concise and formalpresentation, they are not essential to the expression of theprinciples and imderlying ideas of the Calculus. These canbe expressed in plain language without the use of symbols— one writer challenging the citing of a single instancewhere it cannot be done. The practice is common, at least with thoughtless think-ers, of bUndly using formulas without any true conceptionof the ideas for which they are but the symbolic expres-sion. The formulas of the Calculus are an i
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