Need a good book on complex systems

Click For Summary
SUMMARY

The forum discussion centers on the search for an undergraduate-level textbook on complex systems, emergence, and neural networks. A specific recommendation is made for "Networks: An Introduction" by Mark Newman, which is noted for its comprehensive coverage of discrete math, probability, and statistics, requiring only linear algebra and calculus for understanding. The book is praised for its engaging examples, although it is criticized for a lack of mathematical depth in the initial chapters. The user is also considering another textbook available on Amazon, but seeks additional suggestions that include mathematical graph theory, cellular automata, and chaos theory.

PREREQUISITES
  • Understanding of linear algebra
  • Familiarity with calculus
  • Basic knowledge of discrete mathematics
  • Introductory concepts in probability and statistics
NEXT STEPS
  • Research "Complex Systems: A Survey" by Scott E. Page for a broader overview.
  • Explore "Emergence: From Chaos to Order" by John H. Holland for insights into emergent behavior.
  • Study "Cellular Automata and Complexity" by Stephen Wolfram for foundational concepts in cellular automata.
  • Investigate "Chaos: An Introduction to Dynamical Systems" by Robert Devaney for a comprehensive understanding of chaos theory.
USEFUL FOR

This discussion is beneficial for undergraduate students, educators in complex systems, and researchers seeking foundational texts in complex systems, neural networks, and related mathematical theories.

cronxeh
Gold Member
Messages
1,006
Reaction score
11
I am looking for a good undergrad level textbook on complex systems, emergence, neural networks. I am considering getting https://www.amazon.com/dp/0199206651/?tag=pfamazon01-20.

Would anyone have any better suggestions? Something for both a reference and an introductory textbook, as well as some mathematical graph theory included, and maybe cellular automata and chaos theory?
 
Last edited by a moderator:
Physics news on Phys.org
Ok for what its worth, I got the Networks: An Introduction by Newman. Its pretty heavy on the math towards the end, I like the examples he gives in the beginning chapters, but they are lacking the math behind them, unfortunately. The book is a great reference and combines discrete math with probability and statistics class, while only requiring linear algebra and calculus to understand it. The models at the end are very interesting. This book has about 700 useful pages, over half of them are math.

I skipped towards the end but I guess I'll return to this thread to review it better once I finish the whole book.
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
4K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 34 ·
2
Replies
34
Views
5K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 12 ·
Replies
12
Views
4K
  • · Replies 11 ·
Replies
11
Views
5K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 14 ·
Replies
14
Views
3K
  • · Replies 11 ·
Replies
11
Views
3K