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[[File:Linmechfieldsfolds.jpg|thumb|alt=Linear algebra, Mechanics, Relativity and Fields, Differential Geometry|The starter pack to physics and differential geometry]] | [[File:Linmechfieldsfolds.jpg|thumb|alt=Linear algebra, Mechanics, Relativity and Fields, Differential Geometry|The starter pack to physics and differential geometry.]] | ||
The starter pack to physics and differential geometry | |||
== Philosophy | The starter pack to physics and differential geometry. | ||
== Philosophy == | |||
Our point of view is that the texts typically used in physics and especially mathematics degree tracks are window dressing for the real job of being a mathematical physicist or even an engineer. Excellent texts meet a certain standard we set here; Texts should be concise to respect the reader's time and occupations, interdisciplinary, at least relating mathematical tools between areas of mathematics: | Our point of view is that the texts typically used in physics and especially mathematics degree tracks are window dressing for the real job of being a mathematical physicist or even an engineer. Excellent texts meet a certain standard we set here; Texts should be concise to respect the reader's time and occupations, interdisciplinary, at least relating mathematical tools between areas of mathematics: | ||
* Lang's algebra text contains examples and applications in geometry and number theory throughout | * Lang's algebra text contains examples and applications in geometry and number theory throughout | ||
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Thus, the structure of this book list will be centered around core topics in theoretical physics which are already given direct connection to technology and reality, and the mathematics that follows from the theory rather than simply chasing popular formalisms. Future iterations will make an effort to connect with more computational content, such as that seen in representation theory or Olver's text on applications of Lie groups. This pertains to our last criterion that there should be some elementary aspects in a text - showing the translation of the abstract machinery into basic computations to make the relationships with other areas even more transparent. | Thus, the structure of this book list will be centered around core topics in theoretical physics which are already given direct connection to technology and reality, and the mathematics that follows from the theory rather than simply chasing popular formalisms. Future iterations will make an effort to connect with more computational content, such as that seen in representation theory or Olver's text on applications of Lie groups. This pertains to our last criterion that there should be some elementary aspects in a text - showing the translation of the abstract machinery into basic computations to make the relationships with other areas even more transparent. | ||
== Related Lists == | |||
Fredric Schuller's [[Watch|video lectures]] concisely summarize various algebraic and geometric constructions that commonly appear in theoretical physics. | |||
A related set of texts | A [http://sheafification.com/the-fast-track/ related set of texts] works with the same basics to lay a path through gauge field theory, quantum mechanics, algebraic geometry, and quantum field theory. | ||
== List Structure == | == List Structure == | ||
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<div class="flex-container" style="clear: both;"> | <div class="flex-container" style="clear: both;"> | ||
{{BookListing | {{BookListing | ||
| cover = | | cover = Fieldsmath2.jpg | ||
| link = The Classical Theory of Fields (Book)#Applications | | link = The Classical Theory of Fields (Book)#Applications | ||
| title = | | title = | ||
| Line 84: | Line 86: | ||
<div class="flex-container" style="clear: both;"> | <div class="flex-container" style="clear: both;"> | ||
{{BookListing | {{BookListing | ||
| cover = | | cover = Quantmathv2.jpg | ||
| link = Quantum Mechanics (Book)#Applications | | link = Quantum Mechanics (Book)#Applications | ||
| title = | | title = | ||
| Line 95: | Line 97: | ||
| link = Quantum Electrodynamics (Book) | | link = Quantum Electrodynamics (Book) | ||
| title = === Quantum Electrodynamics === | | title = === Quantum Electrodynamics === | ||
| desc = Quantum Electrodynamics by Landau, written by Berestetskii, Lifshitz, and Pitaevskii. | | desc = Quantum Electrodynamics by Landau, written by Berestetskii, Lifshitz, and Pitaevskii.<br> | ||
<div class="flex-container" style="clear: both;"> | |||
{{BookListing | |||
| cover = Qftmath.jpg | |||
| link = Quantum Electrodynamics (Book)#Applications | |||
| title = | |||
| desc = Axiomatic and Geometric Structures in Quantum Field Theory | |||
}} | |||
</div> | |||
}} | }} | ||
{{BookListing | {{BookListing | ||
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| link = Statistical Physics (Book) | | link = Statistical Physics (Book) | ||
| title = === Statistical Physics === | | title = === Statistical Physics === | ||
| desc = Statistical Physics by Landau and Lifshitz. | | desc = Statistical Physics by Landau and Lifshitz.<br> | ||
<div class="flex-container" style="clear: both;"> | |||
{{BookListing | |||
| cover = Statmechmath.jpg | |||
| link = Statistical Physics (Book)#Applications | |||
| title = | |||
| desc = Symplectic statistical mechanics, lattice, and stochastic quantization methods | |||
}} | |||
</div> | |||
}} | }} | ||
{{BookListing | {{BookListing | ||
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{{BookListing | {{BookListing | ||
| cover = Landau 9 statistical physics part 2 cover.jpg | | cover = Landau 9 statistical physics part 2 cover.jpg | ||
| link = Statistical | | link = Statistical Physics part 2 - quantum theory (Book) | ||
| title = === Statistical | | title = === Statistical Physics part 2 === | ||
| desc = Statistical | | desc = Statistical Physics part 2 by Landau and Lifshitz. | ||
}} | }} | ||
{{BookListing | {{BookListing | ||
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== Aspirational == | == Aspirational == | ||
Here are some more awesome books. | |||
=== Quantum Fields Beyond Landau === | |||
<div class="flex-container" style="clear: both;"> | |||
{{BookListing | |||
| cover = Dewitt global qft 1 cover.jpg | |||
| link = The Global Approach to Quantum Field Theory (Book Series) | |||
| title = === The Global Approach to Quantum Field Theory === | |||
| desc = The Global Approach to Quantum Field Theory by Bryce DeWitt. | |||
}} | |||
{{BookListing | |||
| cover = Nima grassmannian scattering cover.jpg | |||
| link = Grassmannian Geometry of Scattering Amplitudes (Book) | |||
| title = === Grassmannian Geometry of Scattering Amplitudes === | |||
| desc = Grassmannian Geometry of Scattering Amplitudes by Nima Arkani-Hamed, Jacob Bourjaily, Freddy Cachazo, Alexander Goncharov, Alexander Postnikov, Jaroslav Trnka . | |||
}} | |||
</div> | |||
=== Mathematics === | |||
<div class="flex-container" style="clear: both;"> | |||
{{BookListing | |||
| cover = Hermann Geometric Computing Science cover.jpg | |||
| link = Geometric Computing Science (Book) | |||
| title = === Geometric Computing Science === | |||
| desc = Geometric Computing Science, Interdisciplinary Mathematics XXV by Robert Hermann. | |||
}} | |||
</div> | |||
== Honorable Mentions == | == Honorable Mentions == | ||
The following are some other good books, which are either redundant or otherwise didn't fit into the main collection of texts.(Olver PDEs, Coxeter books to be inserted) | The following are some other good books, which are either redundant or otherwise didn't fit into the main collection of texts.(Olver PDEs, Coxeter books to be inserted) | ||
{{SHORTDESC:The starter pack to physics and differential geometry.}} | |||
[[Category:Bot Commands]] | [[Category:Bot Commands]] | ||