Pure and Applied Undergraduate Texts
Volume: 12; 2010; 163 pp; Hardcover
MSC: Primary 30; 51; 26; 40;

Print ISBN: 978-0-8218-5274-3
Product Code: AMSTEXT/12
List Price: $64.00
AMS Member Price: $51.20
MAA Member Price: $57.60

Electronic ISBN: 978-1-4704-1125-1
Product Code: AMSTEXT/12.E
List Price: $60.00
AMS Member Price: $48.00
MAA Member Price: $54.00

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An Introduction to Complex Analysis and Geometry

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John P. D’Angelo

An Introduction to Complex Analysis and Geometry provides the reader with a deep appreciation of complex analysis and how this subject fits into mathematics. The book developed from courses given in the Campus Honors Program at the University of Illinois Urbana-Champaign. These courses aimed to share with students the way many mathematics and physics problems magically simplify when viewed from the perspective of complex analysis. The book begins at an elementary level but also contains advanced material.

The first four chapters provide an introduction to complex analysis with many elementary and unusual applications. Chapters 5 through 7 develop the Cauchy theory and include some striking applications to calculus. Chapter 8 glimpses several appealing topics, simultaneously unifying the book and opening the door to further study.

The 280 exercises range from simple computations to difficult problems. Their variety makes the book especially attractive.

A reader of the first four chapters will be able to apply complex numbers in many elementary contexts. A reader of the full book will know basic one complex variable theory and will have seen it integrated into mathematics as a whole. Research mathematicians will discover several novel perspectives.

Readership

Undergraduate students interested in complex analysis.

Reviews & Endorsements

The book provides the reader with a deep appreciation of complex analysis and how this subject fits into mathematics.

-- Mathematical Reviews

The book under review provides a refreshing presentation of both classical and modern topics in and relating to complex analysis, which will be appreciated by mature undergraduates, budding graduate students, and even research mathematicians . . . The book's strengths lie in the characteristics which distinguish it from other undergraduate complex analysis texts. Throughout the book, numerous uncommon topics and rich examples tie complex analysis to farther areas of math, giving the reader a glimpse of the power of this intriguing subject . . . Overall, the text provides a mature view of basic concepts from complex analysis and also succeeds in giving a succinct introduction to the more sophisticated topics covered. It furthermore makes its collection of advanced and fascinating special topics accessible to the undergraduate.

-- Kealy Dias, Zentralblatt MATH

An Introduction to Complex Analysis and Geometry

Base Product Code Keyword List: amstext; AMSTEXT; amstext/12; AMSTEXT/12; amstext-12; AMSTEXT-12

Print Product Code: AMSTEXT/12

Online Product Code: AMSTEXT/12.E

Title (HTML): An Introduction to Complex Analysis and Geometry

Author(s) (Product display): John P. D’Angelo

Affiliation(s) (HTML): University of Illinois, Urbana, IL

Abstract:

Book Series Name: Pure and Applied Undergraduate Texts

Volume: 12

Publication Month and Year: 2010-11-29

Page Count: 163

Cover Type: Hardcover

Print ISBN-13: 978-0-8218-5274-3

Online ISBN 13: 978-1-4704-1125-1

Print ISSN: 1943-9334

Online ISSN: 1943-9334

Primary MSC: 30; 51; 26; 40

Textbook?: true

Applied Math?: false

MAA Book?: false

Inquiry Based Learning?: false

Electronic Media?: false

Apparel or Gift: false

SXG Subject: AN

Supplemental Materials (URL at AMS): https://www.ams.org/bookpages/amstext-12

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Online Price 1: 60.00

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Print Price 1: 64.00

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Print Price 2 Label: AMS Member

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Online Price 3: 54.00

Print Price 3 Label: MAA Member

Print Price 3: 57.60

Bundle Price 1 Label: List

Bundlel Price 1: 94.00

Bundle Price 2 Label: AMS Member

Bundle Price 2: 75.20

Bundle Price 3: 84.60

Bundle Price 3 Label: MAA Member

Print Add to Cart URL: /some/url/at/AMS/AMSTEXT-12

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Exam/Desk Copy: https://www.ams.org/exam-desk-review-request?&eisbn=978-1-4704-1125-1&pisbn=978-0-8218-5274-3&epc=AMSTEXT/12.E&ppc=AMSTEXT/12&title=An%20Introduction%20to%20Complex%20Analysis%20and%20Geometry&author=John%20P.%20D%27Angelo&type=DE

Review Copy: https://www.ams.org/exam-desk-review-request?&eisbn=978-1-4704-1125-1&pisbn=978-0-8218-5274-3&epc=AMSTEXT/12.E&ppc=AMSTEXT/12&title=An%20Introduction%20to%20Complex%20Analysis%20and%20Geometry&author=John%20P.%20D%27Angelo&type=R

Readership:

Undergraduate students interested in complex analysis.

Reviews:

The book provides the reader with a deep appreciation of complex analysis and how this subject fits into mathematics.

-- Mathematical Reviews

-- Kealy Dias, Zentralblatt MATH

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Cover
- Cover
Title page
- Title page
Contents
- Contents
Preface
- Preface
From the real numbers to the complex numbers
- From the real numbers to the complex numbers
Index
- Index

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An Introduction to Complex Analysis and Geometry

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Table of Contents

An Introduction to Complex Analysis and Geometry

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Cover

Title page

Contents

Preface

From the real numbers to the complex numbers

Index