all notes copyright dr.r.w.ghrist. all rights reserved.

 

ELEMENTARY APPLIED TOPOLOGY TEXT DRAFT (in progress...)

the following are rough draft versions of a text-to-be on applied algebraic topology, all in pdf. enjoy!

1. Preface
2. Chapter 1: Manifolds
3. Chapter 2: Complexes (new!)
4. Chapter 3: Euler Characteristic (new!)
5. Chapter 4: Homology (new!)
6. Chapter 5: Sequences (new!)
7. Chapter 6: Cohomology (new!)
8. Chapter 7: Morse Theory
9. Chapter 8: Sheaves & Other Functors

 

all notes below were created with a fujitsu sytlistic tablet via microsoft's journal software:

APPLIED TOPOLOGY NOTES

1. [2010] “Applied Algebraic Topology & Sensor Networks” - caveat! file>50megs!
2. [2008] notes on Topological Methods in Engineering Systems (dead link! sorry!)

 

CALCULUS NOTES

(see the Funny Little Calculus Text - FLCT link above - for a hint of what this is meant to be)

1. [2006] notes on single-variable calculus (dead link! sorry!)
2. [2007] notes on multi-variable calculus (dead link! sorry!)

 

TALKS (COMING SOON...)

these are big powerpoint files. please do not use any portion of them in your powerpoint shows without permission. seriously.

1. [2011] slides on the mathematics of holes
2. [2010] slides on euler calculus and data (COMING SOON...)
3. [2010] slides on current trends in applied topology(COMING SOON...)
4. [2009] slides on sensor sensibility(COMING SOON...)
5. [2009] slides on topological network topology(COMING SOON...)
6. [2007] slides on topological sensor networks(COMING SOON...)
7. [2007] slides on barcodes and persistent homology for data(COMING SOON...)
8. [2006] slides on braids and parabolic dynamics(COMING SOON...)
9. [2006] slides on hyperbolic geometry and robotics(COMING SOON...)
10. [2005] slides on hydrodynamic instability(COMING SOON...)
11. [2004] slides on knotted flowlines(COMING SOON...)