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[[File:Read.jpg|thumb|250px|A graphic showing the list's dependencies.]]
{{Grid2Col
 
| content =
This list of books provides the most direct and rigorous route to understanding differential geometry.
{{CardBook
 
| img = Lang Basic Mathematics Cover.jpg
== Fill in Gaps ==
<div class="flex-container" style="clear: both;">
{{BookListing
| cover = Lang Basic Mathematics Cover.jpg
| link = Basic Mathematics (Book)
| link = Basic Mathematics (Book)
| title = === Basic Mathematics ===
| title = Basic Mathematics
| desc = Review of arithmetic, algebra, trigonometry, logic, and geometry by Serge Lang.
| authors = Serge Lang
| description = Review of arithmetic, algebra, trigonometry, logic, and geometry
| followon =
{{CardBookFollowOnListItem
| img = Lang Basic Mathematics Cover.jpg
| link = Basic Mathematics (Book)
| title = Basic Mathematics
| authors = Serge Lang
| description = Review of arithmetic, algebra, trigonometry, logic, and geometry
}}
{{CardBookFollowOnListItem
| img = Lang Basic Mathematics Cover.jpg
| link = Basic Mathematics (Book)
| title = Basic Mathematics
| authors = Serge Lang
| description = Review of arithmetic, algebra, trigonometry, logic, and geometry
}}
{{CardBookFollowOnListItem
| img = Lang Basic Mathematics Cover.jpg
| link = Basic Mathematics (Book)
| title = Basic Mathematics
| authors = Serge Lang
| description = Review of arithmetic, algebra, trigonometry, logic, and geometry
}}
}}
}}
{{BookListing
{{CardBook
| cover = Apostol Calculus V1 Cover.jpg
| img = Lang Basic Mathematics Cover.jpg
| link = Calculus (Book)
| link = Basic Mathematics (Book)
| title = === Calculus ===
| title = Basic Mathematics
| desc = Overview of Calculus by Tom Apostol.
| authors = Serge Lang
| description = Review of arithmetic, algebra, trigonometry, logic, and geometry
| followon =
{{CardBookFollowOnListItem
| img = Lang Basic Mathematics Cover.jpg
| link = Basic Mathematics (Book)
| title = Basic Mathematics
| authors = Serge Lang
| description = Review of arithmetic, algebra, trigonometry, logic, and geometry
}}
{{CardBookFollowOnListItem
| img = Lang Basic Mathematics Cover.jpg
| link = Basic Mathematics (Book)
| title = Basic Mathematics
| authors = Serge Lang
| description = Review of arithmetic, algebra, trigonometry, logic, and geometry
}}
{{CardBookFollowOnListItem
| img = Lang Basic Mathematics Cover.jpg
| link = Basic Mathematics (Book)
| title = Basic Mathematics
| authors = Serge Lang
| description = Review of arithmetic, algebra, trigonometry, logic, and geometry
}}
}}
{{CardBook
| img = Lang Basic Mathematics Cover.jpg
| link = Basic Mathematics (Book)
| title = Basic Mathematics
| authors = Serge Lang
| description = Review of arithmetic, algebra, trigonometry, logic, and geometry
| followon =
{{CardBookFollowOnListItem
| img = Lang Basic Mathematics Cover.jpg
| link = Basic Mathematics (Book)
| title = Basic Mathematics
| authors = Serge Lang
| description = Review of arithmetic, algebra, trigonometry, logic, and geometry
}}
}}
</div>
{{CardBookFollowOnListItem
== Royal Road to Differential Geometry and Physics ==
| img = Lang Basic Mathematics Cover.jpg
<div class="flex-container">
| link = Basic Mathematics (Book)
{{BookListing
| title = Basic Mathematics
| cover = Lawvere Sets for Mathematics Cover.jpg
| authors = Serge Lang
| link = Sets for Mathematics (Book)
| description = Review of arithmetic, algebra, trigonometry, logic, and geometry
| title = === Sets for Methematics ===
| desc = Categorical approach to set theory by F. William Lawvere. Backbone reference: Set Theory and Metric Spaces by Kaplansky, Foundations of Analysis by Edmund Landau.
}}
}}
{{BookListing
{{CardBookFollowOnListItem
| cover = Shilov Linear Algebra Cover.jpg
| img = Lang Basic Mathematics Cover.jpg
| link = Linear Algebra (Book)
| link = Basic Mathematics (Book)
| title = === Linear Algebra ===
| title = Basic Mathematics
| desc = Linear algebra by Georgi Shilov.
| authors = Serge Lang
| description = Review of arithmetic, algebra, trigonometry, logic, and geometry
}}
}}
{{BookListing
| cover = Landau Course in Theoretical Physics V1 Cover.jpg
| link = Mechanics (Book)
| title = === Mechanics ===
| desc = Physics by Lev Landau.
}}
}}
{{BookListing
{{CardBook
| cover = Landau Course in Theoretical Physics V2 Cover.jpg
| img = Lang Basic Mathematics Cover.jpg
| link = The Classical Theory of Fields (Book)
| link = Basic Mathematics (Book)
| title = === The Classical Theory of Fields ===
| title = Basic Mathematics
| desc = Physics by Lev Landau.
| authors = Serge Lang
| description = Review of arithmetic, algebra, trigonometry, logic, and geometry
| followon =  
{{CardBookFollowOnListItem
| img = Lang Basic Mathematics Cover.jpg
| link = Basic Mathematics (Book)
| title = Basic Mathematics
| authors = Serge Lang
| description = Review of arithmetic, algebra, trigonometry, logic, and geometry
}}
}}
{{BookListing
{{CardBookFollowOnListItem
| cover = Bishop Tensor Analysis Cover.jpg
| img = Lang Basic Mathematics Cover.jpg
| link = Tensor Analysis on Manifolds (Book)
| link = Basic Mathematics (Book)
| title = === Tensor Analysis on Manifolds ===
| title = Basic Mathematics
| desc = Tensor analysis by Richard Bishop and Samuel Goldberg.
| authors = Serge Lang
| description = Review of arithmetic, algebra, trigonometry, logic, and geometry
}}
}}
{{BookListing
{{CardBookFollowOnListItem
| cover = Sternberg Differential Geometry Cover.jpg
| img = Lang Basic Mathematics Cover.jpg
| link = Lectures on Differential Geometry (Book)
| link = Basic Mathematics (Book)
| title = === Lectures on Differential Geometry ===
| title = Basic Mathematics
| desc = Differential geometry by Shlomo Sternberg.
| authors = Serge Lang
| description = Review of arithmetic, algebra, trigonometry, logic, and geometry
}}
}}
{{BookListing
| cover = Vaisman Cohomology and Differential Forms Cover.jpg
| link = Cohomology & Differential Forms (Book)
| title = === Cohomology & Differential Forms ===
| desc = Cohomology and differential forms by Isu Vaisman.
}}
}}
</div>
{{CardBook
== Backbone ==
| img = Lang Basic Mathematics Cover.jpg
<div class="flex-container">
| link = Basic Mathematics (Book)
{{BookListing
| title = Basic Mathematics
| cover = Arnold Ordinary Differential Equations Cover.jpg
| authors = Serge Lang
| link = Ordinary Differential Equations (Book)
| description = Review of arithmetic, algebra, trigonometry, logic, and geometry
| title = === Ordinary Differential Equations ===
| followon =  
| desc = Ordinary differential equations by Vladimir Arnold.
{{CardBookFollowOnListItem
| img = Lang Basic Mathematics Cover.jpg
| link = Basic Mathematics (Book)
| title = Basic Mathematics
| authors = Serge Lang
| description = Review of arithmetic, algebra, trigonometry, logic, and geometry
}}
}}
{{BookListing
{{CardBookFollowOnListItem
| cover = Kaplansky Set Theory and Metric Spaces Cover.jpg
| img = Lang Basic Mathematics Cover.jpg
| link = Set Theory and Metric Spaces (Book)
| link = Basic Mathematics (Book)
| title = === Set Theory and Metric Spaces ===
| title = Basic Mathematics
| desc = Set theory and metric spaces by Irving Kaplansky.
| authors = Serge Lang
| description = Review of arithmetic, algebra, trigonometry, logic, and geometry
}}
}}
{{BookListing
{{CardBookFollowOnListItem
| cover = E Landau Foundations of Analysis Cover.jpg
| img = Lang Basic Mathematics Cover.jpg
| link = Foundations of Analysis (Book)
| link = Basic Mathematics (Book)
| title = === Foundations of Analysis ===
| title = Basic Mathematics
| desc = Analysis, intro to numbers, by Edmund Landau.
| authors = Serge Lang
| description = Review of arithmetic, algebra, trigonometry, logic, and geometry
}}
}}
{{BookListing
| cover = Rudin Principles of Mathematical Analysis Cover.jpg
| link = Principles of Mathematical Analysis (Book)
| title = === Principles of Mathematical Analysis ===
| desc = Mathematical analysis by Walter Rudin.
}}
}}
{{BookListing
{{CardBook
| cover = Bradley Bryson Terrilla Topology A Categorical Appoach Cover.jpg
| img = Lang Basic Mathematics Cover.jpg
| link = Topology: A Categorical Approach (Book)
| link = Basic Mathematics (Book)
| title = === Topology: A Categorical Approach ===
| title = Basic Mathematics
| desc = Mathematical analysis by Tai-Danae Bradley, Tyler Bryson, Josn Terrilla.
| authors = Serge Lang
| description = Review of arithmetic, algebra, trigonometry, logic, and geometry
| followon =  
{{CardBookFollowOnListItem
| img = Lang Basic Mathematics Cover.jpg
| link = Basic Mathematics (Book)
| title = Basic Mathematics
| authors = Serge Lang
| description = Review of arithmetic, algebra, trigonometry, logic, and geometry
}}
}}
{{BookListing
{{CardBookFollowOnListItem
| cover = Ahlfors Complex Analysis Cover.jpg
| img = Lang Basic Mathematics Cover.jpg
| link = Complex Analysis (Book)
| link = Basic Mathematics (Book)
| title = === Complex Analysis ===
| title = Basic Mathematics
| desc = Complex analysis by Lars Ahlfors.
| authors = Serge Lang
| description = Review of arithmetic, algebra, trigonometry, logic, and geometry
}}
}}
{{BookListing
{{CardBookFollowOnListItem
| cover = Olver Applications of Lie Groups to Differential Equations Cover.jpg
| img = Lang Basic Mathematics Cover.jpg
| link = Applications of Lie Groups to Differential Equations (Book)
| link = Basic Mathematics (Book)
| title = === Applications of Lie Groups to Differential Equations ===
| title = Basic Mathematics
| desc = Applications of Lie Groups to Differential Equations by Peter Olver.
| authors = Serge Lang
| description = Review of arithmetic, algebra, trigonometry, logic, and geometry
}}
}}
{{BookListing
| cover = Aluffi Algebra Chapter 0 Cover.jpg
| link = Algebra Chapter 0 (Book)
| title = === Algebra Chapter 0 ===
| desc = Complex analysis by Paolo Aluffi.
}}
}}
{{BookListing
| cover = Lang Algebra Cover.jpg
| link = Algebra (Book)
| title = === Algebra ===
| desc = Algebra by Serge Lang.
}}
}}
</div>
<details>
__NOTOC__
<summary>Test</summary>
test
</details>

Latest revision as of 23:59, 28 November 2023

Lang Basic Mathematics Cover.jpg

Serge Lang

Review of arithmetic, algebra, trigonometry, logic, and geometry

Follow-on Books:
  • Lang Basic Mathematics Cover.jpg

    Serge Lang

    Review of arithmetic, algebra, trigonometry, logic, and geometry

  • Lang Basic Mathematics Cover.jpg

    Serge Lang

    Review of arithmetic, algebra, trigonometry, logic, and geometry

  • Lang Basic Mathematics Cover.jpg

    Serge Lang

    Review of arithmetic, algebra, trigonometry, logic, and geometry

Lang Basic Mathematics Cover.jpg

Serge Lang

Review of arithmetic, algebra, trigonometry, logic, and geometry

Follow-on Books:
  • Lang Basic Mathematics Cover.jpg

    Serge Lang

    Review of arithmetic, algebra, trigonometry, logic, and geometry

  • Lang Basic Mathematics Cover.jpg

    Serge Lang

    Review of arithmetic, algebra, trigonometry, logic, and geometry

  • Lang Basic Mathematics Cover.jpg

    Serge Lang

    Review of arithmetic, algebra, trigonometry, logic, and geometry

Lang Basic Mathematics Cover.jpg

Serge Lang

Review of arithmetic, algebra, trigonometry, logic, and geometry

Follow-on Books:
  • Lang Basic Mathematics Cover.jpg

    Serge Lang

    Review of arithmetic, algebra, trigonometry, logic, and geometry

  • Lang Basic Mathematics Cover.jpg

    Serge Lang

    Review of arithmetic, algebra, trigonometry, logic, and geometry

  • Lang Basic Mathematics Cover.jpg

    Serge Lang

    Review of arithmetic, algebra, trigonometry, logic, and geometry

Lang Basic Mathematics Cover.jpg

Serge Lang

Review of arithmetic, algebra, trigonometry, logic, and geometry

Follow-on Books:
  • Lang Basic Mathematics Cover.jpg

    Serge Lang

    Review of arithmetic, algebra, trigonometry, logic, and geometry

  • Lang Basic Mathematics Cover.jpg

    Serge Lang

    Review of arithmetic, algebra, trigonometry, logic, and geometry

  • Lang Basic Mathematics Cover.jpg

    Serge Lang

    Review of arithmetic, algebra, trigonometry, logic, and geometry

Lang Basic Mathematics Cover.jpg

Serge Lang

Review of arithmetic, algebra, trigonometry, logic, and geometry

Follow-on Books:
  • Lang Basic Mathematics Cover.jpg

    Serge Lang

    Review of arithmetic, algebra, trigonometry, logic, and geometry

  • Lang Basic Mathematics Cover.jpg

    Serge Lang

    Review of arithmetic, algebra, trigonometry, logic, and geometry

  • Lang Basic Mathematics Cover.jpg

    Serge Lang

    Review of arithmetic, algebra, trigonometry, logic, and geometry

Lang Basic Mathematics Cover.jpg

Serge Lang

Review of arithmetic, algebra, trigonometry, logic, and geometry

Follow-on Books:
  • Lang Basic Mathematics Cover.jpg

    Serge Lang

    Review of arithmetic, algebra, trigonometry, logic, and geometry

  • Lang Basic Mathematics Cover.jpg

    Serge Lang

    Review of arithmetic, algebra, trigonometry, logic, and geometry

  • Lang Basic Mathematics Cover.jpg

    Serge Lang

    Review of arithmetic, algebra, trigonometry, logic, and geometry

<details> <summary>Test</summary> test </details>