Mathematical Analysis and Applications is a first introduction to Higher Mathematics for college students. Starting with a discussion of Real Numbers and Functions, the text introduces standard topics of Differential and Integral Calculus together with their Applications such as Differential Equations, Numerical Analysis, Approximation Methods. The subject is developed in an integrated manner, bringing out its essential unity and the inter-relationship between these topics. The Text is written in an informal manner and in lively language, but without sacrificing rigour in thinking and precision in writing, so essential in Mathematics. The book is divided in four Parts and seventeen Chapters, described below. A brief Historical Note is included at the end of each Part that describes the contributions of the mathematicians mentioned in the Text. The Book is ideally suited for class-room teaching and also for self-study to undergraduate students of Mathematics and of other disciplines such as Statistics, Physics, Computer Sciences or Engineering that use Mathematical Methods extensively. It is also a handy reference to teachers of Mathematics.

• Assignments at the end of each chapter to help organize tutorials and student participation • Large number of worked examples • Many Exercises with Hints and Answers • Historical Notes

Numbers and Functions: Rational Numbers/ Induction Principle/ The Real Number System/ Sets and Functions / Convergence and Continuity: Sequences/ Continuous Functions–I/ Continuous Functions–II/ Infinite Series / Differentiation and Approximation: Differentiable Functions/ Mean Value Theorems/ Taylor’s Theorem; Approximation/ Power Series Maps / Integration and Differential Equations: Differential Equations–I/ Differential Equations–II/ Riemann Integration–I/ Riemann Integration–II/ Riemann Integration-III

Undergraduate Students.