Intuitive

Concrete

• Feynman Diagrams for Beginners by Krešimir Kumericki
• Feynman Diagrams For Pedestrians by Thorsten Ohl
• David Griffith: Elementary Particles contains an absolutely painless introduction to Feynman diagrams.
• For another nice introduction see chapter 6 in An Invitation to Quantum Field Theory by Luis Álvarez-Gaumé
• R.D. Mattuck: A Guide to Feynman Diagrams in the Many-body Problem
• For the derivation of the Feynman rules for a given theory see section 2 of Diagrammar by Veltman and 'tHooft

Feynman Rules Resources:

• "When performing a full calculation within the Standard Model or its extensions, it is crucial that one utilizes a consistent set of signs for the gauge couplings and gauge fields. Unfortunately, the literature is plagued with differing signs and notations. We present all Standard Model Feynman rules, including ghosts, in a convention-independent notation, and we table the conventions in close to 40 books and reviews." from A resource for signs and Feynman diagrams of the Standard Model by Jorge C. Romao

Abstract

History

It struck Feynman that everyone had a favorite principle or theorem and he was violating them all… Feynman knew he had failed. At the time, he was in anguish. Later he said simply: “I had too much stuff. My machines came from too far away.”[…] Schwinger’s students at Harvard were put at a competitive disadvantage, or so it seemed to their fellows elsewhere, who suspected them of surreptitiously using the diagrams anyway. This was sometimes true… Murray Gell-Mann later spent a semester staying in Schwinger’s house and loved to say afterward that he had searched everywhere for the Feynman diagrams. He had not found any, but one room had been locked…from "Genius" by Gleick