README.md

@@ -1,2 +1,31 @@
-# kmath
+# KMath
-Kotlin mathematics extensions library
+Kotlin MATHematics library is intended as a kotlin based analog of numpy python library. Contrary to `numpy`
+and `scipy` it is modular and has a lightweight core.
+
+## Features
+
+* **Algebra**
+    * Mathematical operation entities like rings, spaces and fields with (**TODO** add example to wiki) 
+    * Basic linear algebra operations (summs products, etc) backed by `Space` API.
+    * [In progress] advanced linear algebra operations like matrix inversions.
+* **Array-like structures** Full support of numpy-like ndarray including mixed ariphmetic operations and function operations
+on arrays and numbers just like it works in python (with benefit of static type checking).
+
+## Multi-platform support
+KMath is developed as a multi-platform library, which means that most of interfaces are declared in common module.
+Implementation is also done in common module wherever it is possible. In some cases features are delegated to 
+platform even if they could be done in common module because of platform performance optimization.
+
+## Performance
+The calculation performance is one of major goals of KMath in the future, but in some cases it is not possible to achieve 
+both performance and flexibility. We expect to firstly focus on creating convenient universal API and then work on 
+increasing performance for specific cases. We expect the worst KMath performance still be better than natural python,
+but worse than optimized native/scipy (mostly due to boxing operations on primitive numbers). The best performance 
+of optimized parts should be better than scipy.
+
+## Releases
+The project is currently in pre-release stage. Work builds could be obtained with 
+[![](https://jitpack.io/v/altavir/kmath.svg)](https://jitpack.io/#altavir/kmath). 
+
+## Contributing
+The project requires a lot of additional work. Please fill free to contribute in any way and propose new features.