Programmers Introduction To Mathematics Pdf

programmers-introduction-to-mathematics's Introduction

A Programmer's Introduction to Mathematics

travis-badge Coverage Status Language grade: Python

This repository contains the code implementing the applications from each chapter of A Programmer's Introduction to Mathematics. All code is written in Python 3.x. Feel free to submit a pull request if you find a bug.

To install the requirements and run the examples, using pip and virtualenv (Python's standard packaging tools):

                  virtualenv -p python3 venv source venv/bin/activate pip install -r requirements.txt

To run the test suite:

                  pytest  # with code coverage pytest --cov-report html:cov_html  --cov-report annotate:cov_annotate --cov

Docker

To build and run the code in the repository with docker, run

                  docker build -t pimbook -f Dockerfile .  docker run -it --name pimbook pimbook:latest

programmers-introduction-to-mathematics's Issues

I'd love to know how to get to interpolate() and single_term()

Section 2.4, "Realizing it in Code", assumes that I'll understand how to make the transition away from the sigma-and-pi version of things. I implemented the sigma-and-pi version in Javascript and it looks like a great way to get from any x input to a y output that "belongs to" the polynomial that was "defined" by the initial set of points I gave it. But it looks like all the values in there are those initial x and y values, and the output is a single (new) y value. I don't see how to make the journey from there to getting the array of coefficients that actually make up the "real" polynomial.

ERROR: python-coveralls 2.9.1 has requirement coverage==4.0.3,

Hi, I am getting this while trying to create virtualenv

"ERROR: python-coveralls 2.9.1 has requirement coverage==4.0.3, but you'll have coverage 4.5.1 which is incompatible."

Not sure how to resolve it.

translation publication inquiry

Hi, I work for Hanbit Media, Inc., the largest IT publisher in Korea.
We have translated and published many English programming books here.
I think your book is also very helpful to Korean programmer readers.
Do you have any plan for publication in foreign countries?
If you are willing, I'll let our copyright agency contact you (again) to discuss the contract detail.
I appreciate your quick response.

Can we have a table of content on https://pimbook.org/

Coming to github via https://pimbook.org/, kinda confused that there is no table of content available.
And no way to know the outline unless I download the full EBook

Wrong historical facts

I'm not a mathematician myself.

I have just skimmed through your book.
It seems you are trying a lot to say mathematics can exist without proof and can also be based on intuition. (Once again, I didn't read it completely).

Calculus as taught through out the academia, or discovered by newton is due to misunderstanding of Indian calculus, says C.K.Raju.

I don't think you yourself know the real history, rather you were taught in such way. (Euro-Centrism).

Indian's have clear lineage(improvements done over period of time), for development of algebra, trigonometry, infinite series, calculus...

Out of nowhere Europeans have produced this work, as their own, without proper proofs and background.

I'm linking here one of the work by C.K.Raju here.
Which suggests calculus is stolen from India.
Cultural Foundations Of Mathematics.pdf

Hoping, you will be as neutral as possible (If possible in your next-edition).

Thank you.

(x - x_i) or (x - x_j)?

Shouldn't it be (x - x_j) here, like in in formula from the book?

Add Travis CI + coveralls

And badges! Shiny, happy badges!

Test all the things

Make sure each chapter code is tested, and make sure that the tests are all the same style.

Missing edge case in phi function definition page 28

In the text it says

... define phi(n) by the number of positive integers less than n that are relatively prime to n

but it doesn't state the edge case for phi(1).

Exercise solutions for beginners.

We need solutions for all exercises which are given at end of the chapter.

Pedantic detail on precursor example to proof page 17

The expression

f(x) =              \sum\limits_{i=0}^n y_i              \cdot              (\prod\limits_{j              \neq              i}^n              \frac{x-x_j}{x_i - x_j})

is introduced on page 17. However, instead of starting at zero like the summation notation describes, you start at one. I am not sure if this example was just to get warmed up or if it really was the precursor explanation. Starting at zero here just seems to make more sense. Thoughts?