|
|
Sold Out
Book Categories |
| Preface | ||
| An Overview | 1 | |
| Ch. 1 | Graph Theory | 8 |
| 1.1 | The Adjacency Matrix and Its Spectrum | 8 |
| 1.2 | Inequalities on the Spectral Gap | 12 |
| 1.3 | Asymptotic Behavior of Eigenvalues in Families of Expanders | 18 |
| 1.4 | Proof of the Asymptotic Behavior | 20 |
| 1.5 | Independence Number and Chromatic Number | 30 |
| 1.6 | Large Girth and Large Chromatic Number | 32 |
| Ch. 2 | Number Theory | 38 |
| 2.1 | Introduction | 38 |
| 2.2 | Sums of Two Squares | 39 |
| 2.3 | Quadratic Reciprocity | 48 |
| 2.4 | Sums of Four Squares | 52 |
| 2.5 | Quaternions | 57 |
| 2.6 | The Arithmetic of Integer Quaternions | 59 |
| Ch. 3 | PSL[subscript 2] (q) | 72 |
| 3.1 | Some Finite Groups | 72 |
| 3.2 | Simplicity | 73 |
| 3.3 | Structure of Subgroups | 76 |
| 3.4 | Representation Theory of Finite Groups | 85 |
| 3.5 | Degrees of Representations of PSL[subscript 2] (q) | 102 |
| Ch. 4 | The Graphs X[superscript p,q] | 108 |
| 4.1 | Cayley Graphs | 108 |
| 4.2 | Construction of X[superscript p,q] | 112 |
| 4.3 | Girth and Connectedness | 115 |
| 4.4 | Spectral Estimates | 122 |
| App. 4: Regular Graphs with Large Girth | 132 | |
| Bibliography | 138 | |
| Index | 143 |
| Price | Condition | Delivery | Seller | Action |
| $99.99 | Digital |
| WonderClub |
Andre Ebeling
reviewed Elementary Number Theory, Group Theory and Ramanujan Graphs (London Mathematical Society Student Texts Series) on December 06, 2019
Elementary Number Theory, Group Theory and Ramanujan Graphs
I understood the premise, that was it. @_@ ( I did like the part about ' spin creates hegdehogs and anti-hegdehogs in momentum space ... ' )
Login|Complaints|Blog|Games|Digital Media|Souls|Obituary|Contact Us|FAQ
CAN'T FIND WHAT YOU'RE LOOKING FOR? CLICK HERE!!! X
You must be logged in to add to WishlistX
This item is in your Wish List
X
This item is in your Collection
Elementary Number Theory, Group Theory and Ramanujan Graphs (London Mathematical Society Student Texts Series)
X
This Item is in Your Inventory
Elementary Number Theory, Group Theory and Ramanujan Graphs (London Mathematical Society Student Texts Series)
X
You must be logged in to review the productsX
X
X
Add Elementary Number Theory, Group Theory and Ramanujan Graphs (London Mathematical Society Student Texts Series), This text is a self-contained study of expander graphs, specifically, their explicit construction. Expander graphs are highly connected but sparse, and while being of interest within combinatorics and graph theory, they can also be applied to computer sci, Elementary Number Theory, Group Theory and Ramanujan Graphs (London Mathematical Society Student Texts Series) to the inventory that you are selling on WonderClubX
X
Add Elementary Number Theory, Group Theory and Ramanujan Graphs (London Mathematical Society Student Texts Series), This text is a self-contained study of expander graphs, specifically, their explicit construction. Expander graphs are highly connected but sparse, and while being of interest within combinatorics and graph theory, they can also be applied to computer sci, Elementary Number Theory, Group Theory and Ramanujan Graphs (London Mathematical Society Student Texts Series) to your collection on WonderClub |