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There are not too many books that do a proper job regarding Noether's theorem. Some books which are standard references for a differential geometric treatment of theoretical (classical) mechanics, and which deal with it in that language are:

As a theoretical physicist who wanted to study these things in the most mathematical way possible, I found those books extremely helpful to bridge the gap between the two settings. For the history of such an important result, this recent book is very interesting:

You may also be interested in the style of mathematical physics mechanics articles and books developed bySardanashvily et al.:

and especially the recent titles whose material is similar to

  • Mangiarotti / Sardanashvili - "Connections in Classical and extension of the articles mentioned:Quantum Field Theory"

  • Giachetta / Mangiarotti / Sardanashvili - "Advanced Classical Field Theory"

  • Giachetta / Mangiarotti / Sardanashvili - "Geometric Formulation of Classical and Quantum Mechanics"

  • Giachetta / Mangiarotti / Sardanashvili - "New Lagrangian and Hamiltonian methods in field theory"

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    There are not too many books that do a proper job regarding Noether's theorem. Some books which are standard references for a differential geometric treatment of theoretical (classical) mechanics, and which deal with it in that language are:

    As a theoretical physicist who wanted to study these things in the most mathematical way possible, I found those books extremely helpful to bridge the gap between the two settings. For the history of such an important result, this recent book is very interesting:

    You may also be interested in the mathematical physics articles and books by Sardanashvily et al.:

    and especially the recent titles whose material is similar to and extension of the articles mentioned:
    show/hide this revision's text 4 added 523 characters in body

    There are not too many books that do a proper job regarding Noether's theorem. Some books which are standard references for a differential geometric treatment of theoretical (classical) mechanics, and which deal with it in that language are:

    As a theoretical physicist who wanted to study these things in the most mathematical way possible, I found those books extremely helpful to bridge the gap between the two settings. For the history of such an important result, this recent book is very interesting:

    You may also be interested in the mathematical physics articles and book books by Sardanashvily et al.:

    and especially the recent titles whose material is similar to and extension of the articles mentioned:
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