Fundamentals of Real and Complex Analysis

Fundamentals of Real and Complex Analysis
Author :
Publisher : Springer Nature
Total Pages : 402
Release :
ISBN-10 : 9783031548314
ISBN-13 : 3031548310
Rating : 4/5 (310 Downloads)

Book Synopsis Fundamentals of Real and Complex Analysis by : Asuman Güven Aksoy

Download or read book Fundamentals of Real and Complex Analysis written by Asuman Güven Aksoy and published by Springer Nature. This book was released on 2024-04-18 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary aim of this text is to help transition undergraduates to study graduate level mathematics. It unites real and complex analysis after developing the basic techniques and aims at a larger readership than that of similar textbooks that have been published, as fewer mathematical requisites are required. The idea is to present analysis as a whole and emphasize the strong connections between various branches of the field. Ample examples and exercises reinforce concepts, and a helpful bibliography guides those wishing to delve deeper into particular topics. Graduate students who are studying for their qualifying exams in analysis will find use in this text, as well as those looking to advance their mathematical studies or who are moving on to explore another quantitative science. Chapter 1 contains many tools for higher mathematics; its content is easily accessible, though not elementary. Chapter 2 focuses on topics in real analysis such as p-adic completion, Banach Contraction Mapping Theorem and its applications, Fourier series, Lebesgue measure and integration. One of this chapter’s unique features is its treatment of functional equations. Chapter 3 covers the essential topics in complex analysis: it begins with a geometric introduction to the complex plane, then covers holomorphic functions, complex power series, conformal mappings, and the Riemann mapping theorem. In conjunction with the Bieberbach conjecture, the power and applications of Cauchy’s theorem through the integral formula and residue theorem are presented.


Fundamentals of Real and Complex Analysis Related Books

Fundamentals of Real and Complex Analysis
Language: en
Pages: 402
Authors: Asuman Güven Aksoy
Categories: Mathematics
Type: BOOK - Published: 2024-04-18 - Publisher: Springer Nature

GET EBOOK

The primary aim of this text is to help transition undergraduates to study graduate level mathematics. It unites real and complex analysis after developing the
Real and Complex Analysis
Language: en
Pages: 645
Authors: Rajnikant Sinha
Categories: Mathematics
Type: BOOK - Published: 2018-11-04 - Publisher: Springer

GET EBOOK

This is the first volume of the two-volume book on real and complex analysis. This volume is an introduction to measure theory and Lebesgue measure where the Ri
Real and Complex Analysis
Language: en
Pages: 442
Authors: Walter Rudin
Categories: Mathematical analysis
Type: BOOK - Published: 1966 - Publisher:

GET EBOOK

Fundamentals of Complex Analysis with Applications to Engineering and Science (Classic Version)
Language: en
Pages: 0
Authors: Edward Saff
Categories: Functions of complex variables
Type: BOOK - Published: 2017-02-13 - Publisher: Pearson

GET EBOOK

This title is part of the Pearson Modern Classics series. Pearson Modern Classics are acclaimed titles at a value price. Please visit www.pearsonhighered.com/ma
Complex Analysis with Applications
Language: en
Pages: 308
Authors: Richard A. Silverman
Categories: Mathematics
Type: BOOK - Published: 1984-01-01 - Publisher: Courier Corporation

GET EBOOK

The basics of what every scientist and engineer should know, from complex numbers, limits in the complex plane, and complex functions to Cauchy's theory, power