Mathematical Analysis: A Concise Introduction

Mathematical analysis is a fundamental tool in pure and applied mathematics, as well as in other scientific fields. This book presents basic theories of analysis, such as metric spaces, limit of sequences, continuous function, differentiation, Riemann integral, uniform convergence, and series, to build an advanced base for research and advanced analysis courses.

Format: Hardback
Length: 276 pages
Publication date: 14 January 2021
Publisher: World Scientific Publishing Co Pte Ltd

Mathematical analysis forms a fundamental cornerstone for numerous research domains within pure and applied mathematics, as well as being a crucial and influential tool employed across a wide range of scientific disciplines, including physics, chemistry, biology, engineering, finance, and economics. In this comprehensive volume, we delve into some fundamental theories of analysis, encompassing metric spaces and their characteristics, the limit of sequences, continuous functions, differentiation, Riemann integral, uniform convergence, and series. It is highly recommended that individuals who have completed a sequence of courses in basic calculus and linear algebra allocate a reasonable amount of time, ideally one semester, to establish a robust foundation in analysis. This foundation will serve as a solid platform for exploring various research fields beyond analysis itself, as well as advancing into more advanced levels of analysis courses, such as real analysis, complex analysis, differential equations, functional analysis, stochastic analysis, and many others.

The purpose of this book is to fulfill this demand. While maintaining utmost clarity, we have endeavored to present the material in a concise manner while ensuring that all essential details are included. By reading this book, readers will gain a comprehensive understanding of the subject matter and develop the analytical skills necessary for success in their academic and professional pursuits.

Weight: 540g
Dimension: 210 x 237 x 22 (mm)
ISBN-13: 9789811221637