So, the OP has:
> Dynamic Programming – 7 Steps to Solve any DP Interview Problem
Here I see "any"!!!
Dynamic programming is a huge field from work of R. Bellman, G. Nemhauser, R. Rockafellar, R. Wetts, D. Bertsekas, E. Dynkin, W. Fleming, S. Shreve, and more.
E.g., there is, with TeX markup,
Stuart E.\ Dreyfus and
Averill M.\ Law,
{\it The Art and Theory of Dynamic Programming,\/}
ISBN 0-12-221860-4,
Academic Press,
New York,
1977.\ \
Dimitri P.\ Bertsekas,
{\it Dynamic Programming:
Deterministic and Stochastic Models,\/}
ISBN 0-13-221581-0,
Prentice-Hall,
Englewood Cliffs, NJ,
1987.\ \
George L.\ Nemhauser,
{\it Dynamic Programming,\/}
ISBN 0-471-63150-7,
John Wiley and Sons,
New York,
1966.\ \
E.\ B.\ Dynkin and
A.\ A.\ Yushkevich,
{\it Controlled Markov Processes,\/}
ISBN 0-387-90387-9,
Springer-Verlag,
Berlin,
1979.\ \
Dimitri P.\ Bertsekas and
Steven E.\ Shreve,
{\it Stochastic Optimal Control:
The Discrete Time Case,\/}
ISBN 0-12-093260-1,
Academic Press,
New York,
1978.\ \
Wendell H.\ Fleming and
Raymond W.\ Rishel,
{\it Deterministic and Stochastic Optimal Control,\/}
ISBN 0-387-90155-8,
Springer-Verlag,
Berlin,
1979.\ \
some of my work, etc.
Dynamic programming has been and is a major interest of the Department of Operations Research and Financial Engineering (ORFE) at Princeton.
Uh, "any" seems a bit optimistic!