Networks by Mark Newman
For my grad school research, I was asked to learn a bit more about network science. I was directed to the textbook Networks by Mark Newman, who is a leader in the field. The book seems pretty good, but I have not made it very far as of yet.
The usual caveats: These solutions are not guaranteed to be correct. They are guaranteed to be incomplete. But I gave this book a shot, and here is what I have accomplished.
Networks: Chapter 6 –– Mathematics of Networks
Nonlinear Dynamics and Chaos by Steven Strogatz
The usual caveats: These solutions are not guaranteed to be correct. They are guaranteed to be incomplete. But I gave this book a shot, and here is what I accomplished.
All this work was done around new years 2019-2020.
Nonlinear Dynamics and Chaos: Section 2.1 –– A Geometric Way of Thinking
Nonlinear Dynamics and Chaos: Section 2.2 –– Fixed Points and Stability
Nonlinear Dynamics and Chaos: Section 2.3 –– Population Growth
Nonlinear Dynamics and Chaos: Section 2.4 –– Linear Stability Analysis
Nonlinear Dynamics and Chaos: Section 2.5 –– Existence and Uniqueness
Nonlinear Dynamics and Chaos: Section 2.6 –– Impossibility of Oscillations
Nonlinear Dynamics and Chaos: Section 2.7 –– Potentials
Nonlinear Dynamics and Chaos: Section 2.8 –– Solving Equations on the Computer
Nonlinear Dynamics and Chaos: Section 3.1 –– Saddle-Node Bifurcation
Nonlinear Dynamics and Chaos: Section 3.2 –– Transcritical Bifurcation
Nonlinear Dynamics and Chaos: Section 3.3 –– Laser Threshold
Nonlinear Dynamics and Chaos: Section 3.4 –– Pitchfork Bifurcation
Einstein Gravity in a Nutshell by A. Zee
Hello everyone,
In this section of the blog I am going to try something new.
One technique that I find particularly effective for learning new physics/math is to simply find a compelling textbook, and to work through the exercises, effectively rewriting the solutions manual to the textbook from scratch. Well, I have just started working through this awesome textbook on general relativity called Einstein Gravity in a Nutshell by A. Zee, and have been doing many of the exercises at the end of the chapters. I thought that I might as well start an online repository of the solutions I have worked out in case someone else might find them useful.
I should say that I have access to the solutions manual to the textbook from Princeton University Press, but I have tried to use it minimally. I have also tried to indicate in the documents where I have relied on the solutions manual. So, having said that, it should be understood that these solutions are my own work, carried out for personal growth. They are not complete, and parts of them may be incorrect. But I have enjoyed working on this book so far. Feel free to download and make use of the PDFs. I hope you find them helpful.
Happy physicsing :)
Einstein Gravity in a Nutshell: Section I.1 –– Newton’s Laws
Einstein Gravity in a Nutshell: Section I.2 –– Conservation is Good
Einstein Gravity in a Nutshell: Section I.3 –– Rotation: Invariance and Infinitesimal Transformation
Einstein Gravity in a Nutshell: Section I.4 –– Who is Afraid of Tensors?
Einstein Gravity in a Nutshell: Section I.5 –– From Change of Coordinates to Curved Spaces