Difference between revisions of "User:Aardvark/Read"

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| desc = Algebra by Serge Lang.
| desc = Algebra by Serge Lang.
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== 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;">
    <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.
    </div>
    <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.
    </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;">
    <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.
    </div>
    <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.
    </div>
    <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.
    </div>
    <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.
    </div>
    <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.
    </div>
    <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.
    </div>
    <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.
    </div>
</div>
=== Backbone ===
<br>
<div class="iframe-container books" style="display: flex; flex-wrap: wrap; grid-gap: 1%; align-items: flex-start; grid-gap: 1em;">
    <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.
    </div>
    <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.
    </div>
    <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.
    </div>
    <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.
    </div>
    <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.
    </div>
    <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.
    </div>
    <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.
    </div>
    <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.
    </div>
    <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;">
[[File:Lang Algebra Cover.jpg|center|300px]]
==== Algebra ====
Algebra by Serge Lang.
    </div>
</div>
</div>

Revision as of 21:29, 5 July 2021

Pretty pictures version of Read.

A graphic showing dependencies.


Version 2

Fill in Gaps

Lang Basic Mathematics Cover.jpg

Basic Mathematics

Review of arithmetic, algebra, trigonometry, logic, and geometry by Serge Lang.

Apostol Calculus V1 Cover.jpg

Calculus

Overview of Calculus by Tom Apostol.

Lawvere Sets for Mathematics Cover.jpg

Sets for Methematics

Categorical approach to set theory by F. William Lawvere. Backbone reference: Set Theory and Metric Spaces by Kaplansky, Foundations of Analysis by Edmund Landau.

Shilov Linear Algebra Cover.jpg

Linear Algebra

Linear algebra by Georgi Shilov.

Landau Course in Theoretical Physics V1 Cover.jpg

Mechanics

Physics by Lev Landau.

Landau Course in Theoretical Physics V2 Cover.jpg

The Classical Theory of Fields

Physics by Lev Landau.

Bishop Tensor Analysis Cover.jpg

Tensor Analysis on Manifolds

Tensor analysis by Richard Bishop and Samuel Goldberg.

Sternberg Differential Geometry Cover.jpg

Lectures on Differential Geometry

Differential geometry by Shlomo Sternberg.

Vaisman Cohomology and Differential Forms Cover.jpg

Cohomology & Differential Forms

Cohomology and differential forms by Isu Vaisman.

Backbone

Arnold Ordinary Differential Equations Cover.jpg

Ordinary Differential Equations

Ordinary differential equations by Vladimir Arnold.

Kaplansky Set Theory and Metric Spaces Cover.jpg

Set Theory and Metric Spaces

Set theory and metric spaces by Irving Kaplansky.

E Landau Foundations of Analysis Cover.jpg

Foundations of Analysis

Analysis, intro to numbers, by Edmund Landau.

Rudin Principles of Mathematical Analysis Cover.jpg

Principles of Mathematical Analysis

Mathematical analysis by Walter Rudin.

Bradley Bryson Terrilla Topology A Categorical Appoach Cover.jpg

Topology: A Categorical Approach

Mathematical analysis by Tai-Danae Bradley, Tyler Bryson, Josn Terrilla.

Ahlfors Complex Analysis Cover.jpg

Complex Analysis

Complex analysis by Lars Ahlfors.

Olver Applications of Lie Groups to Differential Equations Cover.jpg

Applications of Lie Groups to Differential Equations

Applications of Lie Groups to Differential Equations by Peter Olver.

Aluffi Algebra Chapter 0 Cover.jpg

Algebra Chapter 0

Complex analysis by Paolo Aluffi.

Lang Algebra Cover.jpg

Algebra

Algebra by Serge Lang.