Designed to be readable and intimidation-free, this advanced calculus book presents material that flows logically allowing readers to grasp concepts and proofs. Providing in-depth discussion of topics, the book also features common errors to encourage caution and easy recall of errors. It also presents many proofs in great detail and those which should not provide difficulty are either short or simply outlined. Throughout the book, there are a number of important and useful features, such as cross-referenced functions, expressions, and ideas; footnotes which place mathematical development in historical perspective; an index of symbols; and definitions and theorems which are clearly stated and well marked. An important reference for every professional who uses advanced math.

1.Introduction

2.Sequences 

3.Limits of functions 

4.Continuity 

5.Differentiation 

6.Integration 

7.Infinite series 

8.Sequences and series of functions 

9.Fourier series 

10.Vector calculus 

11.Functions of two variables

12.Multiple integration

Wifold Kosmala

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