eBook - PDF
Complex Analysis
About this book
This book is ideal for a one-semester course for advanced undergraduate students and first-year graduate students in mathematics. It is a straightforward and coherent account of a body of knowledge in complex analysis, from complex numbers to Cauchy's integral theorems and formulas to more advanced topics such as automorphism groups, the Schwarz problem in partial differential equations, and boundary behavior of harmonic functions.
The book covers a wide range of topics, from the most basic complex numbers to those that underpin current research on some aspects of analysis and partial differential equations. The novelty of this book lies in its choice of topics, genesis of presentation, and lucidity of exposition.
Frequently asked questions
Yes, you can cancel anytime from the Subscription tab in your account settings on the Perlego website. Your subscription will stay active until the end of your current billing period. Learn how to cancel your subscription.
No, books cannot be downloaded as external files, such as PDFs, for use outside of Perlego. However, you can download books within the Perlego app for offline reading on mobile or tablet. Learn more here.
Perlego offers two plans: Essential and Complete
- Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
- Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 1000+ topics, we’ve got you covered! Learn more here.
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more here.
Yes! You can use the Perlego app on both iOS or Android devices to read anytime, anywhere — even offline. Perfect for commutes or when you’re on the go.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Yes, you can access Complex Analysis by M W Wong in PDF and/or ePUB format, as well as other popular books in Matematica & Equazioni differenziali. We have over one million books available in our catalogue for you to explore.
Information
Topic
MatematicaSubtopic
Equazioni differenzialiTable of contents
- Contents
- Preface
- 1. Complex Numbers
- 2. Arguments and Polar Forms of Complex Numbers
- 3. Exponentials, Powers and Roots
- 4. Functions of a Complex Variable
- 5. Holomorphic Functions and the Cauchy{Riemann Equations
- 6. The Exponential, Trigonometric and Hyperbolic Functions
- 7. Logarithms, Complex Powers, Branches and Cuts
- 8. Contour Integrals and Path Independence
- 9. Cauchy's Integral Theorems
- 10. Cauchy's Integral Formulas
- 11. Taylor Series and Power Series
- 12. Laurent Series and Isolated Singularities
- 13. Residues
- 14. Trigonometric Integrals
- 15. Cauchy Principal Values of Improper Integrals on (
- 16. Fourier Transforms of Rational Functions
- 17. Singular Integrals on ( )
- 18. Integrals on Branch Cuts
- 19. Biholomorphisms
- 20. Zeros, Maximum Modulus Principle and Schwarz's Lemma
- 21. Aut(D) and SU(1; 1)
- 22. Aut(H), SL(2;R) and the Iwasawa Decomposition
- 23. Harmonic Functions and the Schwarz Problem on D
- Bibliography
- Index
