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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 [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. | |||
A related set of texts | |||
== 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 = | ||
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== Aspirational == | == Aspirational == | ||
Here are some more awesome books. | Here are some more awesome books. | ||
=== | === Quantum Fields Beyond Landau === | ||
<div class="flex-container" style="clear: both;"> | <div class="flex-container" style="clear: both;"> | ||
{{BookListing | {{BookListing | ||
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| title = === The Global Approach to Quantum Field Theory === | | title = === The Global Approach to Quantum Field Theory === | ||
| desc = The Global Approach to Quantum Field Theory by Bryce DeWitt. | | desc = The Global Approach to Quantum Field Theory by Bryce DeWitt. | ||
}} | |||
{{BookListing | |||
| cover = Connes Noncommutative Geometry, Quantum Fields and Motives cover.jpg | |||
| link = Noncommutative Geometry, Quantum Fields and Motives (Book) | |||
| title = === Noncommutative Geometry, Quantum Fields and Motives === | |||
| desc = Noncommutative Geometry, Quantum Fields and Motives by Alain Connes and Matilde Marcolli. | |||
}} | }} | ||
{{BookListing | {{BookListing | ||
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</div> | </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]] | ||