Introduction to Analysis with Complex Numbers

✍ Scribed by Irena Swanson

Publisher: World Scientific Publishing Company
Year: 2021
Tongue: English
Leaves: 353
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

This is a self-contained book that covers the standard topics in introductory analysis and that in addition constructs the natural, rational, real and complex numbers, and also handles complex-valued functions, sequences, and series.

The book teaches how to write proofs. Fundamental proof-writing logic is covered in Chapter 1 and is repeated and enhanced in two appendices. Many examples of proofs appear with words in a different font for what should be going on in the proof writer's head.

The book contains many examples and exercises to solidify the understanding. The material is presented rigorously with proofs and with many worked-out examples. Exercises are varied, many involve proofs, and some provide additional learning materials.

Readership: Introduction to proofs and analysis on real and complex functions for undergraduates.

📜 SIMILAR VOLUMES

Introduction to Analysis with Complex Nu

📁 Introduction to Analysis with Complex Numbers

✍ Irena Swanson 📂 Library 📅 2020 🌐 English

"These notes were written expressly for Mathematics 112 at Reed College, with first use in the spring of 2013. The title of the course is “Introduction to Analysis”. The prerequisite is calculus. I maintain two versions of these notes, one in which the natural, rational and real numbers are constru

Complex Analysis with Applications to Nu

📁 Complex Analysis with Applications to Number Theory

✍ Tarlok Nath Shorey 📂 Library 📅 2020 🏛 Springer Singapore 🌐 English

The book discusses major topics in complex analysis with applications to number theory. This book is intended as a text for graduate students of mathematics and undergraduate students of engineering, as well as to researchers in complex analysis and number theory. This theory is a prerequi

Complex Analysis with Applications to Nu

📁 Complex Analysis with Applications to Number Theory

✍ Tarlok Nath Shorey 📂 Library 📅 2020 🏛 Springer Singapore;Springer 🌐 English

The book discusses major topics in complex analysis with applications to number theory. This book is intended as a text for graduate students of mathematics and undergraduate students of engineering, as well as to researchers in complex analysis and number theory. This theory is a prere

An introduction to complex numbers

📁 An introduction to complex numbers

✍ The Open University 📂 Library 📅 2016 🏛 The Open University 🌐 English

Introduction: Pronouns in syntax -- Ch. 1. On the complex structure of pronouns -- 1. Idiosyncrasies of pronouns -- 2. Intransitive determiners as functional heads -- 3. Pronouns and [phi]-features -- 4. Nouns as pronouns -- 5. A noun inside every pronoun -- 6. App.: Delineating the data -- Ch. 2. P

Introduction to Complex Analysis

📁 Introduction to Complex Analysis

✍ Junjiro Noguchi 📂 Library 📅 2008 🏛 American Mathematical Society 🌐 English

Suitable for a one year course in complex analysis, at the advanced undergraduate or graduate level, this is a pretty good introduction to the subject, with well-written, detailed proofs and lots of exercises. If you take the time to work the exercises, you will learn the subject, and you will lear

Introduction to complex analysis

📁 Introduction to complex analysis

✍ Junjiro Noguchi 📂 Library 📅 1998 🏛 AMS 🌐 English

This book describes a classical introductory part of complex analysis for university students in the sciences and engineering and could serve as a text or reference book. It places emphasis on rigorous proofs, presenting the subject as a fundamental mathematical theory. The volume begins with a prob