Chapter 9 of The Art of Electronics, 3rd edition, is freely (and legally!) available, for details see the begin of this review:
http://www.wisewarthog.com/electronics/horowitz-hill-the-art-of-electronics-3rd-edition.html
Even if you are not interested in the book, the free chapter is a good...
"ANALOG SEEKrets" by Leslie Green, 588 pages, 2007, 9.2 MB
http://eevblog.com/files/seekPDF.pdf
This book is very interesting if you have theoretical knowledge of electronics but not enough practical experience. In the authors words:
"ANALOG SEEKrets (DC to daylight) is a textbook for...
Try "Thinking Physics" by Epstein.
It consists of many short and easy to understand topics, each with a multiple choice quiz. I think this is a better introduction to physics for young people than reading a thick book from cover to cover - it makes it clear that physics is not a "spectator...
A book that is lot easier for the beginner than The Art of Electronics is "Practical Electronics for Inventors" by Scherz. It contains many very good and easy to understand explanations. However, a serious problem with the book is the huge number of typos, you may want to keep this errata sheet...
The online tutorials by Wayne Storr - an introduction to electronics that moves forward faster than allaboutcircuits (see Astronuc's post #3)
http://www.electronics-tutorials.ws/
I think zahero knows about Ohm's law - he said he can calculate voltage and current for simple circuits. But I agree, the theoretical foundations are important.
Here are a few resources that might be useful:
http://www.wisewarthog.com/electronics/recommendations-practical-analog-electronics-books.html
The first in the list (allaboutcircuits) is a very easy introduction and you can download if for free. If you want to spend some money, take a look...
If you want to know what books the guys at MIT are using, there's not better way than to look at the MIT Open Course Ware site:
http://ocw.mit.edu/courses/electrical-engineering-and-computer-science/
For some courses books are recommended, for others you can even download the course notes.
I agree. For a free Calculus introduction, try
http://tutorial.math.lamar.edu/pdf/CalcI/CalcI_Complete.pdf
It includes a review of prerequisites like trigonometry. If you like it, there is more at
http://tutorial.math.lamar.edu/ (Paul’s Online Math Notes)
If you don’t like it...
I have a site where I provide some commented links to resources for learning analog electronics:
www.wisewarthog.com
As a preparation for studying, it would probably be a good idea to focus on the theoretical aspects, so the page about analyzing basic linear circuits might be interesting...
A good treatment of Digital Signal Processing, with a minimum of mathematics:
The Scientist and Engineer's Guide to Digital Signal Processing, by Stephen W. Smith:
http://www.dspguide.com/pdfbook.htm
You can view it online or download each chapter as pdf.
If you already know the theory and want to get some advice for building real circuits, you can get some good information from Analog Devices.
On this page you can search for it:
http://www.analog.com/en/training-tutorials-seminars/resources/index.html
This page contains some commented...
Oscilloscope and probe tutorials (introductions and more advanced material):
http://www.wisewarthog.com/electronics/recommendations-oscilloscope-introductions.html
From Tektronix, Agilent, BK Precision and the classic app note AN47 by the late Jim Williams
Videos:
DSO tutorial...
At Educypedia you can find an incredible amount of links about all areas of electronics:
http://educypedia.karadimov.info/electronics/electronicaopening.htm
But many of the comments for the links are rather short. So it is not always clear which of the links are the best, and you have to...