Differential CalculusThis Book Is Designed To Be Used For Class-Room Teaching For A Course In Differential Calculus At The Undergraduate Level And Also As A Reference Book For Others Who Need The Use Of Differential Calculus. The Book Is Designed In Accordance With The Syllabus In Differential Calculus Prescribed In Most Of The Indian Universities.The Following Are Some Of The Special Features Of This Textbook: * In Addition To The Theoretical Treatment Of The Topics In Differential Calculus, Due Respect Is Given To Application-Oriented Approach Through Various Illustrations And Exercises Drawn From Practical Sciences. * The Graphical And Numerical Approach Provided In The Text Enhances The Appreciation And Understanding Of The Concepts Involved. * A Large Number Of Worked Examples And Exercises, With Answers, Drawn From Various Examination Papers Of Indian And Foreign Universities Are Included. * Biographical Notes And Historical Snippets Have Been Added With A View To Motivating And Inspiring The Students. Brief Life-Sketches And Contributions Of Great Mathematicians Like Sir Isaac Newton And Leibniz Form Part Of The Book. * The Unique And Pioneering Aspect Of The Present Book Is That A Large Number Of Computer Programs And Graphic Printouts For Various Topics Indifferential Calculus Are Included. The Fascinating Potential Of Graphics, For The Understanding Of Calculus, On A Computer Is Well Brought Out Through Computer Programs Which Can Be Readily Worked On An Ibm-Compatible Pc. Further, In Order To Make The Programs Useful To Students And Amateurs Who Have Access Only To The Popular Home-Computers Interesting Programs Which Can Be, Run On The Very Popular Bbc Microcomputer And Sinclair Spectrum Have Also Been Provided.Very Interesting Graphics Of Evolutes Of Famous Curves And Envelopes Of Families Of Curves Along With Their Ready-To-Work Programs Add To The Value Of The Book. |
Common terms and phrases
20 PRINT a²ƒ angle arc PQ astroid asymptotes asymptotes parallel C₁ calculus cardioid cartesian centre of curvature concave continuous convex coordinates cos² cose cosh cusp cycloid defined difference quotients Differentiating double point DRAW XC dx dx dx dy dy dx dy/dx ellipse ENVELOPE OF CIRCLES EVAL F evolute Example exists f(x₁ GCOL GOTO graph Hence homogeneous function INPUT TAB integer interval a,b Leibniz lemniscate lim f(x Limacon limit local maximum LOCATE m₁ maximum mean value theorem MOVE XC nephroid origin parabola parametric equations point of inflexion polar positive PRINT TAB PRINT:PRINT PROGRAM PSET real numbers Rolle's theorem sec² Show sin² sine sinh slope spiral stationary points sub-normal sub-tangent tangent Taylor's theorem variable x-axis x₁ y-axis y₁ zero ди дх ду