William Satzer reviews Explorations in Complex Analysis

The following review of Explorations in Complex Analysis by William Satzer was published as an MAA Review in December 2012. "This new offering from the MAA is a collection of six inducements or invitations to further research for undergraduates with some background in complex analysis. The book is flexible enough to be a source of enrichment material, a basis for research projects, the kernel of a capstone course, or just a tool to ignite the interest of the mathematically curious..." Read the full review here.
William Satzer is a senior intellectual property scientist at 3M Company, having previously been a lab manager at 3M for composites and electromagnetic materials. His training is in dynamical systems and particularly celestial mechanics; his current interests are broadly in applied mathematics and the teaching of mathematics.
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New Book: Explorations in Complex Analysis

Explorations in Complex Analysis by Michael A. Brilleslyper, Michael J. Dorff, Jane M. McDougall, James S. Rolf, Lisbeth E. Schaubroek, Richard L. Stankewitz, and Kenneth Stephenson. 

Available in the MAA Store and the MAA eBook Store.

Read the introduction of Explorations in Complex Analysis (pdf)

Explorations in Complex Analysis is written for mathematics students who have encountered basic complex analysis and want to explore more advanced projects and/or research topics. It could be used as

• a supplement for a standard undergraduate complex analysis course, allowing students in groups or as individuals to explore advanced topics,
• a project resource for a senior capstone course for mathematics majors,
• a guide for an advanced student or a small group of students to independently choose and explore an undergraduate research topic, or
• a portal for the mathematically curious, a hands-on introduction to the beauties of complex analysis.

Research topics in the book include complex dynamics, minimal surfaces, fluid flows, harmonic, conformal, and polygonal mappings, and discrete complex analysis via circle packing. The nature of this book is different from many mathematics texts: the focus is on student-driven and technology-enhanced investigation. Interlaced in the reading for each chapter are examples, exercises, explorations, and projects, nearly all linked explicitly with computer applets for visualization and hands-on manipulation.

There are 16 Java applets and a Java application, CirclePack, that allow students to explore the research topics without purchasing additional software. The electronic version of the book contains links to the applets and CirclePack. The print book (available soon in the MAA Store) contains information for downloading everything.

Find this book in the MAA Store and the MAA eBook Store.