INTRODUCTION TO ANALYSIS WITH COMPLEX NUMBERS
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.
1137452103
INTRODUCTION TO ANALYSIS WITH COMPLEX NUMBERS
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.
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INTRODUCTION TO ANALYSIS WITH COMPLEX NUMBERS

INTRODUCTION TO ANALYSIS WITH COMPLEX NUMBERS

by Irena Swanson
INTRODUCTION TO ANALYSIS WITH COMPLEX NUMBERS

INTRODUCTION TO ANALYSIS WITH COMPLEX NUMBERS

by Irena Swanson

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Overview

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.

Product Details

ISBN-13: 9789811225871
Publisher: World Scientific Publishing Company, Incorporated
Publication date: 02/18/2021
Sold by: Barnes & Noble
Format: eBook
Pages: 456
File size: 32 MB
Note: This product may take a few minutes to download.

Table of Contents

How We will Do Mathematics; Concepts with Which We will Do Mathematics; Construction of The Basic Number Systems; Limits of Functions; Continuity; Differentiation; Integration; Sequences; Infinite Series and Power Series; Exponential and Trigonometric Functions; Advice on Writing Mathematics; What You Should Never Forget; Appendix A: Advice on Writing Mathematics; Appendix B: What One Should Never Forget
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