RSA is an asymmetric algorithm and is attributed to three people but reading this article will explain who developed the algorithm years earlier. When reading this article, try to understand the section on key generation, encrypting messages, decrypting messages, and signing messages. Most importantly, note the speed of RSA in comparison to DES that was discussed in the section on symmetric key encryption. Also note how attacks such as man-in-the-middle and RSA blinding attacks can be avoided.
RSA is much slower than DES and other symmetric cryptosystems. In practice, Bob typically encrypts a secret message with a symmetric algorithm, encrypts the (comparatively short) symmetric key with RSA, and transmits both the RSA-encrypted symmetric key and the symmetrically-encypted message to Alice.
This procedure raises additional security issues. For instance, it is of utmost importance to use a strong random number generator for the symmetric key, because otherwise Eve could bypass RSA by guessing the symmetric key.