Fundamentals of Calculus
By Globus Press
This subject constitutes a major part of modernÂ mathematics education. It has two major branches,Â differential calculus and integralcalculus, which are related by theÂ fundamental theorem of calculus. Calculus is the study of change,Â in the same way that geometryÂ is the study of shape andÂ algebraÂ is the study of operations and their application to solving equations. A course in calculus is a gateway to other, more advanced courses in mathematics devoted to the study of functions and limits, broadly calledÂ mathematical analysis. Calculus has widespread applications inscience,Â economics, andÂ engineeringÂ and can solve many problems for whichÂ algebraÂ alone is insufficient. Calculus has historically been called âthe calculus ofÂ infinitesimalsâ, or âinfinitesimal calculusâ. More generally, calculus (pluralÂ calculi) refers to any method or system of calculation guided by the symbolic manipulation of expressions. Some examples of other well-known calculi areÂ propositional calculus,Â variational calculus,Â lambda calculus,Â pi calculus, andÂ join calculus. The primary aim of this book is to present a succinct account of the essential features of this subject. It is being prepared by keeping in view the requirements of the students and academic professionals.