User:Aardvark/Read: Difference between revisions

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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. See the image on the right for a visual treatment of its dependencies.
{{CardBook
 
| img = Lang Basic Mathematics Cover.jpg
Each selection thoroughly addresses its topics.
 
There are other books for more specific topics. These are the core.
 
The greatest hurdles are motivation and coming to understand the language of mathematics.
 
See also this list of videos.
 
== 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

Basic Mathematics

Serge Lang

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

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

    Basic Mathematics

    Serge Lang

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

  • Lang Basic Mathematics Cover.jpg

    Basic Mathematics

    Serge Lang

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

  • Lang Basic Mathematics Cover.jpg

    Basic Mathematics

    Serge Lang

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

Lang Basic Mathematics Cover.jpg

Basic Mathematics

Serge Lang

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

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

    Basic Mathematics

    Serge Lang

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

  • Lang Basic Mathematics Cover.jpg

    Basic Mathematics

    Serge Lang

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

  • Lang Basic Mathematics Cover.jpg

    Basic Mathematics

    Serge Lang

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

Lang Basic Mathematics Cover.jpg

Basic Mathematics

Serge Lang

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

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

    Basic Mathematics

    Serge Lang

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

  • Lang Basic Mathematics Cover.jpg

    Basic Mathematics

    Serge Lang

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

  • Lang Basic Mathematics Cover.jpg

    Basic Mathematics

    Serge Lang

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

Lang Basic Mathematics Cover.jpg

Basic Mathematics

Serge Lang

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

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

    Basic Mathematics

    Serge Lang

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

  • Lang Basic Mathematics Cover.jpg

    Basic Mathematics

    Serge Lang

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

  • Lang Basic Mathematics Cover.jpg

    Basic Mathematics

    Serge Lang

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

Lang Basic Mathematics Cover.jpg

Basic Mathematics

Serge Lang

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

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

    Basic Mathematics

    Serge Lang

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

  • Lang Basic Mathematics Cover.jpg

    Basic Mathematics

    Serge Lang

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

  • Lang Basic Mathematics Cover.jpg

    Basic Mathematics

    Serge Lang

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

Lang Basic Mathematics Cover.jpg

Basic Mathematics

Serge Lang

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

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

    Basic Mathematics

    Serge Lang

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

  • Lang Basic Mathematics Cover.jpg

    Basic Mathematics

    Serge Lang

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

  • Lang Basic Mathematics Cover.jpg

    Basic Mathematics

    Serge Lang

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

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

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