/sci/ - Science & Math

I'm looking for a resource to learn undergraduate real analysis.

I've tried using the sticky but everything is either too simple ("Here's some set theory, and the rest of the book will be uploaded eventually - promise!") or too complicated ("We begin considering L^p spaces..."). I just want to learn about some things like
>Elementary topology over the reals
>Sequences and series of real numbers
>Differentiation on real-valued functions
>Metric spaces and basic Lebesgue measure
>Riemann/Lebesgue integrals on real-valued functions

Eventually I'll move on to harder stuff, but I want to try to get down some of these basics. Does /sci/ have any recommendations on where to start, whether it's a physical or digital book?

>digital image processing lab in faculty of Automatics, Electronics and Informatics
>professor says that they're running an experiment on a self-described "mind reader", testing if his claims have any credence
>says that he'd appreciate it if some of us would like to take part
>they're getting as many students as they can to get a significant sample size
>me and friends decide to go
>we're told that we're going to be seeing symbols on a monitor
>there would also be an instruction beside a symbol on whether we should be truthful or not
>the "telepath" would sit across from us and read our mind on what symbols we see, then state his guess
>if he's right and the instruction says to be truthful, we tell him he's right
>if he's wrong and the instruction says to be truthful, we tell him he's wrong
>if he's right and the instruction says to lie, we tell him he's wrong and state what other symbol it is
>if he's wrong and the instruction says to lie, we tell him he's right
>we're told to try to not move in order to not give up any clues or hidden messages
>it's going to be recorded for reference

>finally it's my turn
>enter the room
>there's several lights placed so that I'm well lighted (oh, you need a clear view of the face for the camera?)
>camera is centrally placed facing me on eye level and recording only me, with much of my body obscured from it but visible to the "telepath"
>nevermind the fact I know they work on stuff like face/expression recognition and stuff like oculography on this floor

Do people who set up this kind of experiments seriously think students are retarded, or is the student clearly knowing the setup is silly included in the margin of error?

I also like this one.

>>3745099