Calculus

Contents: Preface. 1. Introduction. 2. Sequence and series. 3. Limit. 4. Continuity. 5. Derivatives. 6. Differential calculus. 7. Integrals. 8. Integration techniques. 9. Improper integrals. 10. Application of Calculus. Bibliography. Index.

"In Mathematics, Calculus is a significant branch, focused on limits functions derivates integrals and infinite series. This subject constitutes a major part of modern mathematics education. it has two major branches, differential calculus and integral calculus, which are related by the fundamentals theorem of calculus. Calculus is the study of change, in the same way that geometry is the study of shape and algebra is the study of operations and their applications 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 called mathematical analysis. Calculus has widespread applications in science, economics and engineering and can solve many problems, for which algebra alone is insufficient. Some examples of well-known calculi are prepositional calculus, variation calculus, lambda calculus pi calculus, and join calculus. Calculus is usually developed by manipulating very small quantities.

Present book covers all dimensions of the subject, particularly aimed at the students, who intend to master in this field of Mathematics. This book is an asset for all scholars, researches and students." (jacket)