Answers.Body: <p><a href="https://www.deeplearningbook.org/" rel="nofollow noreferrer">Deep Learning by Goodfellow et. al</a> is a good book for anything related neural networks, and it's freely available online. Backpropagation is covered in Chapter 6.5.</p>
  
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Answers.Text: Thanks. Can one go straight to Chapter 6.5. to read the 21 pages or is it required to read previous text?
Answers.UserDisplayName: Verónica Rmz.
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Answers.Text: @veronika Well I guess it really depends on your background. You can try reading it and see if you can follow the material.
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Answers.CreationDate: 2021-02-26T01:59:07.173Z
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Answers.UserDisplayName: SpiderRico
Body: <p>What are examples of good free books that cover the back-propagation used to train multilayer perceptrons? I've just started to learn about artificial neural networks, so I'm looking for books that cover the theoretical basics of back-propagation.</p>
  
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Comments.CreationDate: 2021-02-26T03:08:50.200Z
Comments.Text: this is not a book, but if you want to try understand backprop calculation step-by-step, this blog is amazing: https://mattmazur.com/2015/03/17/a-step-by-step-backpropagation-example/
Comments.UserDisplayName: malioboro
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Comments.CreationDate: 2021-02-26T05:22:17.490Z
Comments.Text: @malioboro this blog falls into the same pitfall that most do - it doesn't cover the case of multiple hidden layers. While the task isn't actually that much more complicated, the notation used quickly falls apart because it becomes way too long to write out. This made learning back propagation initially for me extremely difficult, because it seems no one actually covered the case of multiple hidden layers. Until I found this: https://youtu.be/d14TUNcbn1k?t=354
Comments.UserDisplayName: Recessive
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Comments.CreationDate: 2021-02-26T09:28:29.287Z
Comments.Text: @Recessive Oh I see, multiple hidden layers means more than one hidden layer, that's true the notation will become complicated
Comments.UserDisplayName: malioboro
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Comments.CreationDate: 2021-02-27T02:44:42.820Z
Comments.Text: @malioboro Thank you. I actually was looking for different sources as books, videos, papers, etc. but moderator nbro asked me to modify my post and to focus only on 1 source.
Comments.UserDisplayName: Verónica Rmz.
Tags: <neural-networks><reference-request><backpropagation><feedforward-neural-networks><multilayer-perceptrons>
Title: What are examples of good free books that cover the back-propagation algorithm?
UserDisplayName: Verónica Rmz.
ThreadText: # What are examples of good free books that cover the back-propagation algorithm?
  
  (Asked by: username_0 on 2021-02-25)
  
  What are examples of good free books that cover the back-propagation used to train multilayer perceptrons? I've just started to learn about artificial neural networks, so I'm looking for books that cover the theoretical basics of back-propagation.
  
  **Tags:** neural-networks, reference-request, backpropagation, feedforward-neural-networks, multilayer-perceptrons
  > **Comments:**
  > **username_1**: this is not a book, but if you want to try understand backprop calculation step-by-step, this blog is amazing: https://mattmazur.com/2015/03/17/a-step-by-step-backpropagation-example/  
  > **username_2**: @malioboro this blog falls into the same pitfall that most do - it doesn't cover the case of multiple hidden layers. While the task isn't actually that much more complicated, the notation used quickly falls apart because it becomes way too long to write out. This made learning back propagation initially for me extremely difficult, because it seems no one actually covered the case of multiple hidden layers. Until I found this: https://youtu.be/d14TUNcbn1k?t=354  
  > **username_1**: @Recessive Oh I see, multiple hidden layers means more than one hidden layer, that's true the notation will become complicated  
  > **username_0**: @malioboro Thank you. I actually was looking for different sources as books, videos, papers, etc. but moderator nbro asked me to modify my post and to focus only on 1 source.  
  
  ---
  
  ## 1 answers
  
  ### Answer by username_3 on 2021-02-26. Score: 1
  
  [Deep Learning by Goodfellow et. al](https://www.deeplearningbook.org/) is a good book for anything related neural networks, and it's freely available online. Backpropagation is covered in Chapter 6.5.
  
  > **Comments:**
  > **username_0**: Thanks. Can one go straight to Chapter 6.5. to read the 21 pages or is it required to read previous text?  
  > **username_3**: @veronika Well I guess it really depends on your background. You can try reading it and see if you can follow the material.  
  
  ---
  
  