Check out the side bar. There are a list of resources broken down by subject. In terms of basics this book is a classic and generally very highly regarded. I can't speak too much about specifics of polymer chemistry, as my background is corrosion based.
Well, I've heard that Allen Bard's book is the best around for electrochemistry. Here's the link: http://www.amazon.com/Electrochemical-Methods-Fundamentals-Allen-Bard/dp/0471043729/ref=sr_1_1?ie=UTF8&qid=1430806181&sr=8-1&keywords=allen+bard
I used this book when I took the course, and got me through it without problems. I never read another EC book tho, but I liked this one.
https://www.amazon.com/Electrochemical-Methods-Fundamentals-Allen-Bard/dp/0471043729
I would rather refer you to bard : electrochemical methods and applications for more relevant definitions.
What this guy said. Electrochemical Methods is good if you want to really get into the physics/chemistry and is a standard electrochemistry text. http://www.amazon.com/Electrochemical-Methods-Fundamentals-Allen-Bard/dp/0471043729
Bottled Lightning by Seth Fletcher is also very good and provides a lot of history and background. http://www.amazon.com/Bottled-Lightning-Superbatteries-Electric-Lithium/dp/0809030640/ref=sr_1_1?s=books&ie=UTF8&qid=1434260420&sr=1-1&keywords=bottled+lightning
@m3wolf: Where are you doing your PhD? What are your plans after finishing? Just wondering. I just got my BS and am working in industry
Hi, while your description of redox chemistry is good, it is necessary to include sources other than yourself for answers in /r/askscience. Bard and Faulkner or even wikipedia are sufficient for your redox equations and to explain what overpotential is.