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{{Grid2Col
Pretty pictures version of [[Read]].
| content =
Β 
{{CardBook
[[File:Read.jpg|thumb|A graphic showing dependencies.]]
| img = Lang Basic Mathematics Cover.jpg
Β 
| link = Basic Mathematics (Book)
__NOTOC__
| title = Basic Mathematics
== Version 2 ==
| authors = Serge Lang
=== Fill in Gaps ===
| description = Review of arithmetic, algebra, trigonometry, logic, and geometry
<div class="flex-container">
| followon = Β 
{{BookListing
{{CardBookFollowOnListItem
| cover = Lang Basic Mathematics Cover.jpg
| img = Lang Basic Mathematics Cover.jpg
| title = ==== Basic Mathematics ====
| link = Basic Mathematics (Book)
| desc = Review of arithmetic, algebra, trigonometry, logic, and geometry by Serge Lang.
| title = Basic Mathematics
| authors = Serge Lang
| description = Review of arithmetic, algebra, trigonometry, logic, and geometry
}}
}}
{{CardBookFollowOnListItem
{{BookListing
| img = Lang Basic Mathematics Cover.jpg
| cover = Apostol Calculus V1 Cover.jpg
| 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
}}
}}
{{CardBookFollowOnListItem
</div>
| 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
| title = ==== Sets for Methematics ====
| description = Review of arithmetic, algebra, trigonometry, logic, and geometry
| 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
| cover = Shilov Linear Algebra Cover.jpg
| title = ==== Linear Algebra ====
| desc = Linear algebra by Georgi Shilov.
}}
}}
{{CardBook
{{BookListing
| img = Lang Basic Mathematics Cover.jpg
| cover = Landau Course in Theoretical Physics V1 Cover.jpg
| link = Basic Mathematics (Book)
| title = ==== Mechanics ====
| title = Basic Mathematics
| desc = Physics by Lev Landau.
| authors = Serge Lang
| description = Review of arithmetic, algebra, trigonometry, logic, and geometry
| followon = Β 
{{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
{{BookListing
| img = Lang Basic Mathematics Cover.jpg
| cover = Landau Course in Theoretical Physics V2 Cover.jpg
| 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
}}
}}
{{CardBookFollowOnListItem
{{BookListing
| img = Lang Basic Mathematics Cover.jpg
| cover = Bishop Tensor Analysis Cover.jpg
| 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
| cover = Sternberg Differential Geometry Cover.jpg
| title = ==== Lectures on Differential Geometry ====
| desc = Differential geometry by Shlomo Sternberg.
}}
}}
{{CardBook
{{BookListing
| img = Lang Basic Mathematics Cover.jpg
| cover = Vaisman Cohomology and Differential Forms Cover.jpg
| link = Basic Mathematics (Book)
| title = ==== Cohomology & Differential Forms ====
| title = Basic Mathematics
| desc = Cohomology and differential forms by Isu Vaisman.
| authors = Serge Lang
| description = Review of arithmetic, algebra, trigonometry, logic, and geometry
| followon = Β 
{{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
</div>
| img = Lang Basic Mathematics Cover.jpg
=== Backbone ===
| link = Basic Mathematics (Book)
<div class="flex-container">
| title = Basic Mathematics
{{BookListing
| authors = Serge Lang
| cover = Arnold Ordinary Differential Equations Cover.jpg
| description = Review of arithmetic, algebra, trigonometry, logic, and geometry
| title = ==== Ordinary Differential Equations ====
| desc = Ordinary differential equations by Vladimir Arnold.
}}
}}
{{CardBookFollowOnListItem
{{BookListing
| img = Lang Basic Mathematics Cover.jpg
| cover = Kaplansky Set Theory and Metric Spaces Cover.jpg
| 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
| cover = E Landau Foundations of Analysis Cover.jpg
| title = ==== Foundations of Analysis ====
| desc = Analysis, intro to numbers, by Edmund Landau.
}}
}}
{{CardBook
{{BookListing
| img = Lang Basic Mathematics Cover.jpg
| cover = Rudin Principles of Mathematical Analysis Cover.jpg
| link = Basic Mathematics (Book)
| title = ==== Principles of Mathematical Analysis ====
| title = Basic Mathematics
| desc = Mathematical analysis by Walter Rudin.
| 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
{{BookListing
| img = Lang Basic Mathematics Cover.jpg
| cover = Bradley Bryson Terrilla Topology A Categorical Appoach Cover.jpg
| 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
}}
}}
{{CardBookFollowOnListItem
{{BookListing
| img = Lang Basic Mathematics Cover.jpg
| cover = Ahlfors Complex Analysis Cover.jpg
| 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
| cover = Olver Applications of Lie Groups to Differential Equations Cover.jpg
| title = ==== Applications of Lie Groups to Differential Equations ====
| desc = Applications of Lie Groups to Differential Equations by Peter Olver.
}}
}}
{{CardBook
{{BookListing
| img = Lang Basic Mathematics Cover.jpg
| cover = Aluffi Algebra Chapter 0 Cover.jpg
| link = Basic Mathematics (Book)
| title = ==== Algebra Chapter 0 ====
| title = Basic Mathematics
| desc = Complex analysis by Paolo Aluffi.
| authors = Serge Lang
| description = Review of arithmetic, algebra, trigonometry, logic, and geometry
| followon = Β 
{{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
{{BookListing
| img = Lang Basic Mathematics Cover.jpg
| cover = Lang Algebra Cover.jpg
| link = Basic Mathematics (Book)
| title = ==== Algebra ====
| title = Basic Mathematics
| desc = Algebra by Serge Lang.
| authors = Serge Lang
| description = Review of arithmetic, algebra, trigonometry, logic, and geometry
}}
}}
{{CardBookFollowOnListItem
</div>
| img = Lang Basic Mathematics Cover.jpg
Β 
| link = Basic Mathematics (Book)
== Books ==
| title = Basic Mathematics
=== Fill in Gaps ===
| authors = Serge Lang
<br>
| description = Review of arithmetic, algebra, trigonometry, logic, and geometry
<div class="iframe-container books" style="display: flex; flex-wrap: wrap; grid-gap: 1%; align-items: flex-start; grid-gap: 1em;">
}}
Β  Β  <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;">
}}
[[File:Lang Basic Mathematics Cover.jpg|center|300px]]
{{CardBook
==== Basic Mathematics ====
| img = Lang Basic Mathematics Cover.jpg
Review of arithmetic, basic algegra, trigonemetry, and geometry by Serge Lang.
| link = Basic Mathematics (Book)
Β  Β  </div>
| title = Basic Mathematics
Β  Β  <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;">
| authors = Serge Lang
[[File:Apostol Calculus V1 Cover.jpg|center|300px]]
| description = Review of arithmetic, algebra, trigonometry, logic, and geometry
==== Calculus ====
| followon = Β 
Introduction to Calculus by Tom Apostol.
{{CardBookFollowOnListItem
Β  Β  </div>
| img = Lang Basic Mathematics Cover.jpg
</div>
| link = Basic Mathematics (Book)
=== Road to Differential Geometry and Physics ===
| title = Basic Mathematics
<br>
| authors = Serge Lang
<div class="iframe-container books" style="display: flex; flex-wrap: wrap; grid-gap: 1%; align-items: flex-start; grid-gap: 1em;">
| description = Review of arithmetic, algebra, trigonometry, logic, and geometry
Β  Β  <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;">
}}
[[File:Lawvere Sets for Mathematics Cover.jpg|center|300px]]
{{CardBookFollowOnListItem
==== Sets for Mathematics ====
| img = Lang Basic Mathematics Cover.jpg
Categorical approach to set theory by F. William Lawvere. Backbone reference: Set Theory and Metric Spaces by Kaplansky, Foundations of Analysis by Edmund Landau.
| link = Basic Mathematics (Book)
Β  Β  </div>
| title = Basic Mathematics
Β  Β  <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;">
| authors = Serge Lang
[[File:Shilov Linear Algebra Cover.jpg|center|300px]]
| description = Review of arithmetic, algebra, trigonometry, logic, and geometry
==== Linear Algebra ====
}}
Linear Algabra by Georgi Shilov.
{{CardBookFollowOnListItem
Β  Β  </div>
| img = Lang Basic Mathematics Cover.jpg
Β  Β  <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;">
| link = Basic Mathematics (Book)
[[File:Landau Course in Theoretical Physics V1 Cover.jpg|center|300px]]
| title = Basic Mathematics
==== Mechanics ====
| authors = Serge Lang
Physics by Lev Landau.
| description = Review of arithmetic, algebra, trigonometry, logic, and geometry
Β  Β  </div>
}}
Β  Β  <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;">
}}
[[File:Landau Course in Theoretical Physics V2 Cover.jpg|center|300px]]
}}
==== The Classical Theory of Fields ====
<details>
Physics by Lev Landau.
<summary>Test</summary>
Β  Β  </div>
test
Β  Β  <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;">
</details>
[[File:Bishop Tensor Analysis Cover.jpg|center|300px]]
==== Tensor Analysis on Manifolds ====
Tensor analysis by Richard Bishop and Samuel Goldberg.
Β  Β  </div>
Β  Β  <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;">
[[File:Sternberg Differential Geometry Cover.jpg|center|300px]]
==== Lectures on Differential Geometry ====
Differential geometry by Shlomo Sternberg.
Β  Β  </div>
Β  Β  <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;">
[[File:Vaisman Cohomology and Differential Forms Cover.jpg|center|300px]]
==== Cohomology & Differential Forms ====
Cohomology and differential forms by Isu Vaisman.
Β  Β  </div>
</div>
Β 
=== Backbone ===
<br>
<div class="iframe-container books" style="display: flex; flex-wrap: wrap; grid-gap: 1%; align-items: flex-start; grid-gap: 1em;">
Β  Β  <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;">
[[File:Arnold Ordinary Differential Equations Cover.jpg|center|300px]]
==== Ordinary Differential Equations ====
Ordinary differential equations by Vladimir Arnold.
Β  Β  </div>
Β  Β  <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;">
[[File:Kaplansky Set Theory and Metric Spaces Cover.jpg|center|300px]]
==== Set Theory and Metric Spaces ====
Set theory and metric spaces by Irving Kaplansky.
Β  Β  </div>
Β  Β  <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;">
[[File:E Landau Foundations of Analysis Cover.jpg|center|300px]]
==== Foundations of Analysis ====
Analysis, intro to numbers, by Edmund Landau.
Β  Β  </div>
Β  Β  <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;">
[[File:Rudin Principles of Mathematical Analysis Cover.jpg|center|300px]]
==== Principles of Mathematical Analysis ====
Mathematical analysis by Walter Rudin.
Β  Β  </div>
Β  Β  <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;">
[[File:Bradley Bryson Terrilla Topology A Categorical Appoach Cover.jpg|center|300px]]
==== Topology: A Categorical Approach ====
Mathematical analysis by Tai-Danae Bradley, Tyler Bryson, Josn Terrilla.
Β  Β  </div>
Β  Β  <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;">
[[File:Ahlfors Complex Analysis Cover.jpg|center|300px]]
==== Complex Analysis ====
Complex analysis by Lars Ahlfors.
Β  Β  </div>
Β  Β  <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;">
[[File:Olver Applications of Lie Groups to Differential Equations Cover.jpg|center|300px]]
==== Applications of Lie Groups to Differential Equations ====
Complex analysis by Peter Olver.
Β  Β  </div>
Β  Β  <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;">
[[File:Aluffi Algebra Chapter 0 Cover.jpg|center|300px]]
==== Algebra Chapter 0 ====
Complex analysis by Paolo Aluffi.
Β  Β  </div>
Β  Β  <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;">
[[File:Lang Algebra Cover.jpg|center|300px]]
==== Algebra ====
Algebra by Serge Lang.
Β  Β  </div>
</div>
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