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Introduction to Analysis with Complex Numbers
Hardcover
ISBN13: 9789811225857
Publisher: World Scientific Publishing Company
Published: Mar 3 2021
Pages: 456
Weight: 1.71
Height: 1.00 Width: 6.00 Depth: 9.00
Language: English
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, 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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