CALCULUS CONCEPTS AND METHODS

THE PEBBLES USED IN ANCIENT ABACUSES GAVE THEIR NAME TO THE CALCULUS, WHICH TODAY IS A FUNDAMENTAL TOOL IN BUSINESS, ECONOMICS, ENGINEERING AND THE SCIENCES. THIS INTRODUCTORY BOOK TAKES READERS GENTLY FROM SINGLE TO MULTIVARIATE CALCULUS AND SIMPLE DIFFERENTIAL AND DIFFERENCE EQUATIONS. UNUSUALLY THE BOOK OFFERS A WIDE RANGE OF APPLICATIONS IN BUSINESS AND ECONOMICS, AS WELL AS MORE CONVENTIONAL SCIENTIFIC EXAMPLES. IDEAS FROM UNIVARIATE CALCULUS AND LINEAR ALGEBRA ARE COVERED AS NEEDED, OFTEN FROM A NEW PERSPECTIVE. THEY ARE REINFORCED IN THE TWO-DIMENSIONAL CASE, WHICH IS STUDIED IN DETAIL BEFORE GENERALISATION TO HIGHER DIMENSIONS. ALTHOUGH THERE ARE NO THEOREMS OR FORMAL PROOFS, THIS IS A SERIOUS BOOK IN WHICH CONCEPTUAL ISSUES ARE EXPLAINED CAREFULLY USING NUMEROUS GEOMETRIC DEVICES AND A WEALTH OF WORKED EXAMPLES, DIAGRAMS AND EXERCISES. MATHEMATICA HAS BEEN USED TO GENERATE MANY BEAUTIFUL AND ACCURATE, FULL-COLOUR ILLUSTRATIONS TO HELP STUDENTS VISUALISE COMPLEX MATHEMATICAL O