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Introduction to Real Analysis, University of Notre Dame by Liviu Nicolaescu



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About this book :-
This text is develops calculus "from scratch", with complete rigorous arguments. Its aim is to introduce the reader not only to the basic facts about calculus but, as importantly, to mathematical reasoning. It covers in great detail calculus of one variable and multivariable calculus. Additionally it offers a basic introduction to the topology of Euclidean space. It is intended to more advanced or highly motivated undergraduates.

Book Detail :-
This book has following details information.
Title: Introduction to Real Analysis, University of Notre Dame by Liviu Nicolaescu by NA
Publisher: Liviu Nicolaescu
Series: Google Search
Year: 2025
Pages: 1050
Type: PDF
Language: English
ISBN-10 #: 9811210381
ISBN-13 #: 978-9811210389
Country: Pakistan
License: N\A
Get this book from Amazon

About Author :-
The author NA NA

Book Contents :-
conver the following topics.
1. The basics of mathematical reasoning 2. The Real Number System 3. Special classes of real numbers 4. Limits of sequences 5. Limits of functions 6. Continuity 7. Differential calculus 8. Applications of differential calculus 9. Integral calculus 10. Complex numbers and some of their applications 11. The geometry and topology of Euclidean spaces 12. Continuity 13. Multi-variable differential calculus 14. Applications of multi-variable differential calculus 15. Multidimensional Riemann integration 16. Integration over submanifolds 17. Analysis on metric spaces 18. An Introduction to Ordinary Differential Equations 19. Measure theory and integration 20. Elements of functional analysis A. A bit more set theory

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