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Introduction to mathematical analysis

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Introduction to mathematical analysis/ by Naokant Deo, Ryozi Sakai.
作者:	Deo, Naokant.
其他作者:	Sakai, Ryozi.
出版者:	Singapore :Springer Nature Singapore : : 2025.,
面頁冊數:	xv, 344 p. :ill., digital ; : 24 cm.;
Contained By:	Springer Nature eBook
標題:	Analysis. -
電子資源:	https://doi.org/10.1007/978-981-97-6568-3
ISBN:	9789819765683

Introduction to mathematical analysis
Deo, Naokant.

Introduction to mathematical analysis[electronic resource] /by Naokant Deo, Ryozi Sakai. - Singapore :Springer Nature Singapore :2025. - xv, 344 p. :ill., digital ;24 cm.

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.

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.

ISBN: 9789819765683

Standard No.: 10.1007/978-981-97-6568-3doiSubjects--Topical Terms:

669490
Analysis.

LC Class. No.: QA300 / .D46 2025

Dewey Class. No.: 515

Introduction to mathematical analysis
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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.
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