|
|
| (44 intermediate revisions by the same user not shown) |
| Line 1: |
Line 1: |
| Pretty pictures version of [[Read]].
| | {{Grid2Col |
| __NOTOC__
| | | content = |
| == Version 2 == | | {{CardBook |
| === Fill in Gaps === | | | img = Lang Basic Mathematics Cover.jpg |
| <div class="flex-container">
| | | link = Basic Mathematics (Book) |
| {{BookListing | | | title = Basic Mathematics |
| | cover = Lang Basic Mathematics Cover.jpg | | | authors = Serge Lang |
| | title = ==== Basic Mathematics ==== | | | description = Review of arithmetic, algebra, trigonometry, logic, and geometry |
| | desc = Review of arithmetic, algebra, trigonometry, logic, and geometry by Serge Lang. | | | 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 class="flex-item">
| | {{CardBookFollowOnListItem |
| <div class="book-cover">
| | | img = Lang Basic Mathematics Cover.jpg |
| [[File:Lang Basic Mathematics Cover.jpg|center|300px]]
| | | link = Basic Mathematics (Book) |
| </div>
| | | title = Basic Mathematics |
| <div class="book-title">
| | | authors = Serge Lang |
| ==== Basic Mathematics ====
| | | description = Review of arithmetic, algebra, trigonometry, logic, and geometry |
| </div>
| | }} |
| <div class="book-desc">
| | {{CardBookFollowOnListItem |
| Review of arithmetic, basic algegra, trigonemetry, and geometry by Serge Lang. | | | img = Lang Basic Mathematics Cover.jpg |
| </div>
| | | link = Basic Mathematics (Book) |
| </div>
| | | title = Basic Mathematics |
| <div class="flex-item">
| | | authors = Serge Lang |
| [[File:Apostol Calculus V1 Cover.jpg|center|300px]]
| | | description = Review of arithmetic, algebra, trigonometry, logic, and geometry |
| ==== Calculus ==== | | }} |
| Overview of Calculus by Tom Apostol.
| | }} |
| </div>
| | {{CardBook |
| </div>
| | | img = Lang Basic Mathematics Cover.jpg |
| <div class="flex-container">
| | | link = Basic Mathematics (Book) |
| <div class="flex-item">
| | | title = Basic Mathematics |
| [[File:Lawvere Sets for Mathematics Cover.jpg|center|300px]]
| | | authors = Serge Lang |
| ==== Sets for Mathematics ==== | | | description = Review of arithmetic, algebra, trigonometry, logic, and geometry |
| Categorical approach to set theory by F. William Lawvere. Backbone reference: Set Theory and Metric Spaces by Kaplansky, Foundations of Analysis by Edmund Landau.
| | | followon = |
| </div>
| | {{CardBookFollowOnListItem |
| <div class="flex-item">
| | | img = Lang Basic Mathematics Cover.jpg |
| [[File:Shilov Linear Algebra Cover.jpg|center|300px]]
| | | link = Basic Mathematics (Book) |
| ==== Linear Algebra ====
| | | title = Basic Mathematics |
| Linear Algabra by Georgi Shilov.
| | | authors = Serge Lang |
| </div>
| | | description = Review of arithmetic, algebra, trigonometry, logic, and geometry |
| <div class="flex-item">
| | }} |
| [[File:Landau Course in Theoretical Physics V1 Cover.jpg|center|300px]]
| | {{CardBookFollowOnListItem |
| ==== Mechanics ====
| | | img = Lang Basic Mathematics Cover.jpg |
| Physics by Lev Landau.
| | | link = Basic Mathematics (Book) |
| </div>
| | | title = Basic Mathematics |
| <div class="flex-item">
| | | authors = Serge Lang |
| [[File:Landau Course in Theoretical Physics V2 Cover.jpg|center|300px]]
| | | description = Review of arithmetic, algebra, trigonometry, logic, and geometry |
| ==== The Classical Theory of Fields ==== | | }} |
| Physics by Lev Landau.
| | {{CardBookFollowOnListItem |
| </div>
| | | img = Lang Basic Mathematics Cover.jpg |
| <div class="flex-item">
| | | link = Basic Mathematics (Book) |
| [[File:Bishop Tensor Analysis Cover.jpg|center|300px]]
| | | title = Basic Mathematics |
| ==== Tensor Analysis on Manifolds ==== | | | authors = Serge Lang |
| Tensor analysis by Richard Bishop and Samuel Goldberg.
| | | description = Review of arithmetic, algebra, trigonometry, logic, and geometry |
| </div>
| | }} |
| <div class="flex-item">
| | }} |
| [[File:Sternberg Differential Geometry Cover.jpg|center|300px]]
| | {{CardBook |
| ==== Lectures on Differential Geometry ====
| | | img = Lang Basic Mathematics Cover.jpg |
| Differential geometry by Shlomo Sternberg.
| | | link = Basic Mathematics (Book) |
| </div>
| | | title = Basic Mathematics |
| <div class="flex-item">
| | | authors = Serge Lang |
| [[File:Vaisman Cohomology and Differential Forms Cover.jpg|center|300px]]
| | | description = Review of arithmetic, algebra, trigonometry, logic, and geometry |
| ==== Cohomology & Differential Forms ==== | | | followon = |
| Cohomology and differential forms by Isu Vaisman.
| | {{CardBookFollowOnListItem |
| </div>
| | | img = Lang Basic Mathematics Cover.jpg |
| </div>
| | | link = Basic Mathematics (Book) |
| === Backbone ===
| | | title = Basic Mathematics |
| <div class="flex-container">
| | | authors = Serge Lang |
| <div class="flex-item">
| | | description = Review of arithmetic, algebra, trigonometry, logic, and geometry |
| [[File:Arnold Ordinary Differential Equations Cover.jpg|center|300px]]
| | }} |
| ==== Ordinary Differential Equations ====
| | {{CardBookFollowOnListItem |
| Ordinary differential equations by Vladimir Arnold.
| | | img = Lang Basic Mathematics Cover.jpg |
| </div>
| | | link = Basic Mathematics (Book) |
| <div class="flex-item">
| | | title = Basic Mathematics |
| [[File:Kaplansky Set Theory and Metric Spaces Cover.jpg|center|300px]]
| | | authors = Serge Lang |
| ==== Set Theory and Metric Spaces ==== | | | description = Review of arithmetic, algebra, trigonometry, logic, and geometry |
| Set theory and metric spaces by Irving Kaplansky.
| | }} |
| </div>
| | {{CardBookFollowOnListItem |
| <div class="flex-item">
| | | img = Lang Basic Mathematics Cover.jpg |
| [[File:E Landau Foundations of Analysis Cover.jpg|center|300px]]
| | | link = Basic Mathematics (Book) |
| ==== Foundations of Analysis ==== | | | title = Basic Mathematics |
| Analysis, intro to numbers, by Edmund Landau.
| | | authors = Serge Lang |
| </div>
| | | description = Review of arithmetic, algebra, trigonometry, logic, and geometry |
| <div class="flex-item">
| | }} |
| [[File:Rudin Principles of Mathematical Analysis Cover.jpg|center|300px]]
| | }} |
| ==== Principles of Mathematical Analysis ==== | | {{CardBook |
| Mathematical analysis by Walter Rudin.
| | | img = Lang Basic Mathematics Cover.jpg |
| </div>
| | | link = Basic Mathematics (Book) |
| <div class="flex-item">
| | | title = Basic Mathematics |
| [[File:Bradley Bryson Terrilla Topology A Categorical Appoach Cover.jpg|center|300px]]
| | | authors = Serge Lang |
| ==== Topology: A Categorical Approach ==== | | | description = Review of arithmetic, algebra, trigonometry, logic, and geometry |
| Mathematical analysis by Tai-Danae Bradley, Tyler Bryson, Josn Terrilla.
| | | followon = |
| </div>
| | {{CardBookFollowOnListItem |
| <div class="flex-item">
| | | img = Lang Basic Mathematics Cover.jpg |
| [[File:Ahlfors Complex Analysis Cover.jpg|center|300px]]
| | | link = Basic Mathematics (Book) |
| ==== Complex Analysis ====
| | | title = Basic Mathematics |
| Complex analysis by Lars Ahlfors.
| | | authors = Serge Lang |
| </div>
| | | description = Review of arithmetic, algebra, trigonometry, logic, and geometry |
| <div class="flex-item">
| | }} |
| [[File:Olver Applications of Lie Groups to Differential Equations Cover.jpg|center|300px]]
| | {{CardBookFollowOnListItem |
| ==== Applications of Lie Groups to Differential Equations ==== | | | img = Lang Basic Mathematics Cover.jpg |
| Complex analysis by Peter Olver.
| | | link = Basic Mathematics (Book) |
| </div>
| | | title = Basic Mathematics |
| <div class="flex-item">
| | | authors = Serge Lang |
| [[File:Aluffi Algebra Chapter 0 Cover.jpg|center|300px]]
| | | description = Review of arithmetic, algebra, trigonometry, logic, and geometry |
| ==== Algebra Chapter 0 ==== | | }} |
| Complex analysis by Paolo Aluffi.
| | {{CardBookFollowOnListItem |
| </div>
| | | img = Lang Basic Mathematics Cover.jpg |
| <div class="flex-item">
| | | link = Basic Mathematics (Book) |
| [[File:Lang Algebra Cover.jpg|center|300px]]
| | | title = Basic Mathematics |
| ==== Algebra ==== | | | authors = Serge Lang |
| Algebra by Serge Lang.
| | | description = Review of arithmetic, algebra, trigonometry, logic, and geometry |
| </div>
| | }} |
| </div>
| | }} |
| | | {{CardBook |
| == Books == | | | img = Lang Basic Mathematics Cover.jpg |
| === Fill in Gaps ===
| | | link = Basic Mathematics (Book) |
| <br>
| | | title = Basic Mathematics |
| <div class="iframe-container books" style="display: flex; flex-wrap: wrap; grid-gap: 1%; align-items: flex-start; grid-gap: 1em;">
| | | authors = Serge Lang |
| <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;">
| | | description = Review of arithmetic, algebra, trigonometry, logic, and geometry |
| [[File:Lang Basic Mathematics Cover.jpg|center|300px]]
| | | followon = |
| ==== Basic Mathematics ====
| | {{CardBookFollowOnListItem |
| Review of arithmetic, basic algegra, trigonemetry, and geometry by Serge Lang. | | | img = Lang Basic Mathematics Cover.jpg |
| </div>
| | | link = Basic Mathematics (Book) |
| <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;">
| | | title = Basic Mathematics |
| [[File:Apostol Calculus V1 Cover.jpg|center|300px]]
| | | authors = Serge Lang |
| ==== Calculus ==== | | | description = Review of arithmetic, algebra, trigonometry, logic, and geometry |
| Introduction to Calculus by Tom Apostol.
| | }} |
| </div>
| | {{CardBookFollowOnListItem |
| </div>
| | | img = Lang Basic Mathematics Cover.jpg |
| === Road to Differential Geometry and Physics === | | | link = Basic Mathematics (Book) |
| <br>
| | | title = Basic Mathematics |
| <div class="iframe-container books" style="display: flex; flex-wrap: wrap; grid-gap: 1%; align-items: flex-start; grid-gap: 1em;">
| | | authors = Serge Lang |
| <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;">
| | | description = Review of arithmetic, algebra, trigonometry, logic, and geometry |
| [[File:Lawvere Sets for Mathematics Cover.jpg|center|300px]]
| | }} |
| ==== Sets for Mathematics ==== | | {{CardBookFollowOnListItem |
| Categorical approach to set theory by F. William Lawvere. Backbone reference: Set Theory and Metric Spaces by Kaplansky, Foundations of Analysis by Edmund Landau.
| | | img = Lang Basic Mathematics Cover.jpg |
| </div>
| | | link = Basic Mathematics (Book) |
| <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;">
| | | title = Basic Mathematics |
| [[File:Shilov Linear Algebra Cover.jpg|center|300px]]
| | | authors = Serge Lang |
| ==== Linear Algebra ====
| | | description = Review of arithmetic, algebra, trigonometry, logic, and geometry |
| Linear Algabra by Georgi Shilov.
| | }} |
| </div>
| | }} |
| <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;">
| | {{CardBook |
| [[File:Landau Course in Theoretical Physics V1 Cover.jpg|center|300px]]
| | | img = Lang Basic Mathematics Cover.jpg |
| ==== Mechanics ====
| | | link = Basic Mathematics (Book) |
| Physics by Lev Landau.
| | | title = Basic Mathematics |
| </div>
| | | authors = Serge Lang |
| <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;">
| | | description = Review of arithmetic, algebra, trigonometry, logic, and geometry |
| [[File:Landau Course in Theoretical Physics V2 Cover.jpg|center|300px]]
| | | followon = |
| ==== The Classical Theory of Fields ==== | | {{CardBookFollowOnListItem |
| Physics by Lev Landau.
| | | img = Lang Basic Mathematics Cover.jpg |
| </div>
| | | link = Basic Mathematics (Book) |
| <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;">
| | | title = Basic Mathematics |
| [[File:Bishop Tensor Analysis Cover.jpg|center|300px]]
| | | authors = Serge Lang |
| ==== Tensor Analysis on Manifolds ====
| | | description = Review of arithmetic, algebra, trigonometry, logic, and geometry |
| Tensor analysis by Richard Bishop and Samuel Goldberg.
| | }} |
| </div>
| | {{CardBookFollowOnListItem |
| <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;">
| | | img = Lang Basic Mathematics Cover.jpg |
| [[File:Sternberg Differential Geometry Cover.jpg|center|300px]]
| | | link = Basic Mathematics (Book) |
| ==== Lectures on Differential Geometry ====
| | | title = Basic Mathematics |
| Differential geometry by Shlomo Sternberg.
| | | authors = Serge Lang |
| </div>
| | | description = Review of arithmetic, algebra, trigonometry, logic, and geometry |
| <div class="iframe-item" style="flex: 0 1 22%; margin-bottom: 1em;">
| | }} |
| [[File:Vaisman Cohomology and Differential Forms Cover.jpg|center|300px]]
| | {{CardBookFollowOnListItem |
| ==== Cohomology & Differential Forms ====
| | | img = Lang Basic Mathematics Cover.jpg |
| Cohomology and differential forms by Isu Vaisman.
| | | link = Basic Mathematics (Book) |
| </div>
| | | title = Basic Mathematics |
| </div>
| | | authors = Serge Lang |
| | | | description = Review of arithmetic, algebra, trigonometry, logic, and geometry |
| === 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;">
| | <details> |
| [[File:Arnold Ordinary Differential Equations Cover.jpg|center|300px]]
| | <summary>Test</summary> |
| ==== Ordinary Differential Equations ====
| | test |
| Ordinary differential equations by Vladimir Arnold.
| | </details> |
| </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> | |
