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| | desc = Algebra by Serge Lang. | | | desc = Algebra by Serge Lang. |
| }} | | }} |
| </div>
| |
|
| |
| == 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> |