What are good Morse Theory lecture notes and books? Searching on the net I couldnt find any recent lecture/course notes on Morse Theory. I found an old set of notes (http://www.math.toronto.edu/mgualt/Morse%20Theory/mfp.pdf) by Mike Hutchings and these incomplete notes by Ralph Cohen (http://math.stanford.edu/~ralph/morsecourse/biglectures.pdf)
[..I really want a reference which has a detailed description of the ``gradient flow line" perspective as in the chater 4,5,6 of Ralph's notes. Just that Ralph's notes are very hard to follow given that all the diagrams are missing!..]
I found this book that has been made legally freely available by the author, https://www3.nd.edu/~lnicolae/Morse2nd.pdf and I have read quite a bit of the old book by Milnor. 


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*Are there other other good references (particularly lecture/course notes) that I am missing? 

 A: These lecture notes were actually mainly devoted to the Morse Complex in the infinite dimensional setting; but they were thought to be suitable for finite dimensional manifolds as well (btw, you don't need to pay for them).
A: Another classic text is Bott's Lectures on Morse theory, old and new.
A: If you are looking for the classical approach to Morse theory, I feel nothing beats Milnor's book on the subject:

Milnor, J.
  Morse theory. 
  Annals of Mathematics Studies, No. 51 Princeton University Press, Princeton, N.J. 1963

For the Morse homological approach, i.e. counting flowlines, I really like Weber's paper  on the subject:

Weber, Joa
  The Morse-Witten complex via dynamical systems. 
  Expo. Math. 24 (2006), no. 2.

Another standard reference is the book of Banyaga and Hurtubise. 

Banyaga, Augustin; Hurtubise, David
  Lectures on Morse homology. 
  Kluwer Texts in the Mathematical Sciences, 29. Kluwer Academic Publishers Group, Dordrecht, 2004. 

A book that is tough to read, but is a gateway to Floer theory is Schwarz' book. 

Schwarz, Matthias
  Morse homology. 
  Progress in Mathematics, 111. Birkhäuser Verlag, Basel, 1993.

I heard good things about the book of Audin and Damian, but I have not read it. 

Audin, Michèle; Damian, Mihai
  Morse theory and Floer homology. 
  Translated from the 2010 French original by Reinie Erné. Universitext. Springer, London; EDP Sciences, Les Ulis, 2014.

A: also in the M. W. Hirsch, Differential topology ,Chapter 6 : Morse Theory.
