Next update will have 3D Graphs !

Version 1.0 is released, but I plan to add some more features in the forthcoming weeks: 3D Graphs are currently developed , for functions with 2 parameters , and even 3: I will use something like raytracing to display f(x,y,z) functions with “implicit surfaces”.

Note the Math Engine already knew how to give the normal vectors at the surface, which is used for lighting:  it’s just the cross product of the derivatives.

This is rendered using Shaders and GPU, which means your device will be used smartly !

I also plan to add Function Compositions, that will allow to use a fonction as a parameter of another one. I have to manage a special keyboard mode for this. Both with 3D Graphs, it will open a lot more capabilities for the whole app !

Link For Android Smartphones and tablets !
Link For iPhone and iPad !

Math Touch Book officially released

The Application for Apple and Android Smartphones and tablets is here, after 14 months of development !

The main goal of this App is to practice Mathematics, using the screen like a living rough draft assisted by Artificial Intelligence, and automatic layout.

Math Touch Book allows to manipulate equations and functions in a vectorial space, which suits very fine to haptic screens. You can resolve equations and look their transformations in real time, find derivatives and integrals, organize a notebook with your work, experiment in many ways and share your work with social networks, amongst many other features.

Physicist and Nobel Prize Richard Feynman, considered one of the brightest mind in the world, once said:

When I see equations, I see the letters in colors – I don’t know why. [..] And I wonder what the hell it must look like to the students.

Making these kinds of visions available for anyone was a guiding line during the development: Maths should be something tangible and clear to work with, both for students and confirmed Mathematicians.This is why a lot of research about interfaces has been done for this project.

If you have Math brain friends, developers or handymen friends, bring the good news and share this We need  your help, because this original product was created independently with no advertisement budget !
Take One minute to download this app, that weight less than 3 mb, do a little share and tell what you think about it !
Link For Android Smartphones and tablets !
Link For iPhone and iPad !

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Available both on Apple Store and Google Play

 

1 049 352 …. Bytes !!!

1 049 352 bytes !!  Ironically just 776 bytes after 1 MegaByte !!

(which is 1024*1024= 1048576 bytes)

To my surprise, this will be more or less the final size of #MathTouchBook for Android, that is to be released within the coming week (for sure, I promise, btw it’s a scoop !).

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The Apple iPhone/iPad version is more likely to weight 3 or 4 Mb, due to some external program libraries that iOS needs.

I wasn’t expecting less than One Mega for this App, this is great news to discover that thin number ! As light as powerful !

What happened ? I planned to include the Facebook SDK at first (3Mb), but I realised the “Share with Intent” system from Android was better. So I cleaned all the useless stuffs and logs from the App…

The tool is primarily using only my own C++ libraries, but I was a bit afraid because of the use of templates at some points in the code: C++ templates can really be useful for coding Maths because they allow to “Overload” simple operators (Addition,Substraction,Multiplication, whatever else.) by making abstraction of the actual type of your data. (Well, more or less.)

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But C++ is an old language and C++ templates have a big disadvantage: Every template’s functions operators and methods you use is recompiled each time you use it. I mean: when you read a data in a map (C++’s hash table) , the whole read code is compiled for each call. ( for the record, only allocators are external with templates, and C++ libs like boost stands in includes and not .cpp for these reasons.)

But even if it has a funky side, MathTouchBook is an App with 95% Code and 5% data, so it’s really a “Algorithms and nothing else” approach. Beside that, I only have some little mp3 and PNG out there ! – Just what you need ! Capture d’écran 2016-02-04 à 13.11.58

 

Why did I start Math Touch Book ?

I started mathtouchbook after I did my first video game on mobile, one year ago.
I was researching new kinds of interfaces on tablets, and also sometimes I needed to do some maths on a rough book.
I slowly realized that the equations and functions you usually draw there could gain a lot if it was managed on a haptic screen:

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When you do math on a paper, you often write the first shape of an expression, then you write a second modified shape, then a third,… you constantly invert, simplify, develop, factorise what you write. Consequently, you can hardly imagine how big the result will be on the page, and mathematicians spend their lives struggling with page layouts.
Fortunately, Equations can also be seen in “four dimensions”, transforming through time.
Clearly, a mobile application could manage that aspect.

I think I could be able to program an engine using graphical processing units (gpu) that would draw equations in a vectorial space, and would be able to do morphing between those shapes.

Doing my previous video game, I actually made a Glyph Engine flexible enough to do that. Then a bit of tricks into the graph theory paradigm would be enough to make it a useful living mathematical tool.

A second important aspect of such a tool would be automatic alignment. One of the key for learning mathematics is to write clear, correctly aligned expressions. Automatizing this could help newcomers. Plus, every math tools force the users to type one line expressions with a lot of parenthesis that are hardly understandable. A vectorized space could avoid that.
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Another idea came while I was reading a book about the life of Richard Feynman. He told how he could see equations in colors when he was a young boy, and how it helped him to learn.  Synesthesia, something great and easy to implement.

At this point, I knew I could make a tool within a year of work, with a quite precise workflow. So the development began.