1549312215-Complex_Analysis_for_Mathematics_and_Engineering_5th_edition__Mathews

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COLOR PLATE 1 Newton's method applied to f(z) = z^3 + I. COWR PLATE 3 A zoom of the rabbit. COLOR PLATE 2 The rabbit. COLOR PLAT ...

COWR PLATE 5 A disconnected Julia set COWR PLATE 7 A zoom on the upper ponion ofM. COLOR PLATE 6 The Mandelbrot set (M) COLOR PL ...

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World Headquaners Jones and Bartlett Publishers 40 Tall Pine Drive Sudbury, MA 01776 978-443- [email protected] http://www.jbpub.co ...

To Fran John H. Mathews To Kay Russe/I W. Howe/I ...

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Preface APPROACH This text is intended for undergraduate students in mathematics, physics, and engineering. We have attempted to ...

vi PREFACE setting of this new edition should likewise enhance reading. The answers to all odd-numbered exercises should help in ...

PREFACE vii Academy), William Trench (Drexel University), and Carroll 0. Wilde (Naval Postgraduate School) for their helpful rev ...

viii P REFACE vVe appreciate suggestions and comments for improvements and changes to the text as it now stands, and we welcome ...

About the Cover Jacqueline May, a freelance artist living in Austin, Texas, is inspired by the beauty she sees in many places, i ...

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Contents ...

xii CONTENTS 6.5 Integral Representations for Analytic Functions.... ...

1 Complex Numbers 1.1 The Origin of Complex Numbers. 2 The Algebra of Complex Numbers 1.3 The Geometry of Complex Numbers 1 ...

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Overview Get ready for a treat. You're about to begin studying some of the most beautiful ideas in mathematics. They are ideas w ...

2 CHAPTER 1 • COMPLEX NUMBERS Our story begins in 1545. In that year, the Italian mathematician Girolamo Cardano published Ars M ...

1.1 • THE ORIGIN OF COMPLEX NUMBERS 3 general cubic equation. Surprisingly, this development played a significant role in helpin ...