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