Reinforcement Learning: An Introduction, Richard S. Sutton and Andrew G. Barto, 2018 (A Bradford Book, The MIT Press) - This book provides a comprehensive explanation of tabular methods, their limitations like the curse of dimensionality, and the fundamental transition to function approximation.
Human-level control through deep reinforcement learning, Volodymyr Mnih, Koray Kavukcuoglu, David Silver, Andrei A. Rusu, Joel Veness, Marc G. Bellemare, Alex Graves, Martin Riedmiller, Andreas K. Fidjeland, Georg Ostrovski, Stig Petersen, Charles Beattie, Amir Sadik, Ioannis Antonoglou, Helen King, Dharshan Kumaran, Daan Wierstra, Shane Legg, and Demis Hassabis, 2015Nature, Vol. 518DOI: 10.1038/nature14236 - This seminal paper introduces Deep Q-Networks (DQN), demonstrating how deep neural networks can overcome the limitations of tabular methods in environments with high-dimensional state spaces.
Deep Learning, Ian Goodfellow, Yoshua Bengio, and Aaron Courville, 2016 (MIT Press) - This authoritative textbook offers a thorough explanation of deep learning, providing the essential background for understanding how neural networks are used for function approximation in modern reinforcement learning.