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# Mathematical analysis

This book is intended to serve as a text in Mathematical Analysis for undergraduate and postgraduate students of various universities. professionals will also find this book use the book has theory from its very beginning the foundation has been laid very carefully and the treatment is rigorously based on modern line. It opens with a brief outline of the essential properties of rational numbers and using Dedekind's cut, the properties of real numbers as established. The foundation supports the subsequent chapters:

*Topological Framework Real Sequences and Series, Continuity, Differentiation, Function of Several Variables, Elementary and Implicit FunctionS, Riemann and Riemann-Stieltjes IntegralS, Lebesgue Integrals, Surface, Double and Triple Integrals,*which are discussed in detail. Uniform Convergence, Power Series, Fourier Series, Improper Integrals have been presented in as simple and lucid a manner as possible. The number of solved examples of various types has also been included.As for the need, in the present atmosphere, a chapter on Metric spaces discussing completeness, compactness, and content was of the spaces has been added. Finally, two appendices discussing Beta Gamma function, and Cantor's theory of real number, add glory to the content of the book

### Book details

**Author:**SC Malik, Savita Arora

**Publishers:**New age international (P) limited

**Edition:**5th

**Reprint:**2021

**Number of pages:**870

**What you get in the book:**20 Chapters along with Appendix 1( Beta and gamma functions) appendix II( Canton's theory of Real numbers)

**Quality:**Coloured

### Contents

- Real Numbers
- Open sets, Closed sets, and Countable Sets
- Real Sequences
- Infinite Series
- Function of a Single Variable(I)
- Function of a Single Variable(II)
- Applications of Taylor's Theorem
- Functions
- The Riemann Integral
- The Riemann-Stieltjes Integral
- Improper Integral
- Uniform Convergence
- Power Series
- Fourier Series
- Functions Of Several Variables
- Implicit Function
- Integration on R²
- Integration on R³
- Metric Spaces
- The Lebesgue Integral

- Appendix 1( Beta and gamma functions)
- Appendix II( Canton's theory of Real numbers)

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**complete book: 249 rupees**

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