Introduction to Mathematical Analysis

This book is a straightforward and comprehensive presentation of the concepts and methodology of elementary real analysis. Targeted to undergraduate students of mathematics and engineering, it serves as the foundation for mathematical reasoning and proofs. The topics discussed are logic, methods of...

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Auteurs principaux: Deo, Naokant (Auteur), Sakai, Ryozi (Auteur)
Collectivité auteur: SpringerLink (Online service)
Format: Électronique eBook
Langue:anglais
Publié: Singapore : Springer Nature Singapore : Imprint: Springer, 2025.
Édition:1st ed. 2025.
Sujets:
Accès en ligne:https://doi.org/10.1007/978-981-97-6568-3
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505 0 |a Chapter 1 The System of Real Numbers -- Chapter 2 Real Sequences -- Chapter 3 Infinite Series of Numbers -- Chapter 4 Limits, Continuity and Differentiability -- Chapter 5 Metric Spaces. 
520 |a This book is a straightforward and comprehensive presentation of the concepts and methodology of elementary real analysis. Targeted to undergraduate students of mathematics and engineering, it serves as the foundation for mathematical reasoning and proofs. The topics discussed are logic, methods of proof, functions, real number properties, sequences and series, limits and continuity and differentiation and integration (Riemann integral and Lebesgue integral). The book explains the concepts and theorems through geometrical and pictorial representation. Limits of sequences and functions, topology of metric spaces, continuity of functions and the Cauchy sequence have been thoroughly discussed in the book. 
532 8 |a Accessibility summary: This PDF does Not fully comply with PDF/UA standards but does include limited screen reader support, descriptions for Non-text content (such as images and graphs), bookmarks for easy navigation, and searchable, selectable text. Users of assistive technologies may experience difficulty navigating or interpreting content in this document. We recognise the importance of accessibility and welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us via https://www.springernature.com/gp/info/accessibility 
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