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Downey - Think Complexity

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Downey Think Complexity
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This book is about complexity science, data structures and algorithms, intermediate programming in Python, and the philosophy of science: Data structures and algorithms: A data structure is a collection that contains data elements organized in a way that supports particular operations. For example, a dictionary organizes key-value pairs in a way that provides fast mapping from keys to values, but mapping from values to keys is generally slower. An algorithm is a mechanical process for performing a computation. Designing efficient programs often involves the co-evolution of data structures and the algorithms that use them. For example, the first few chapters are about graphs, a data structure that is a good implementation of a graph---nested dictionaries---and several graph algorithms that use this data structure. Python programming: This book picks up where Think Python leaves off. I assume that you have read that book or have equivalent knowledge of Python. As always, I will try to emphasize fundmental ideas that apply to programming in many languages, but along the way you will learn some useful features that are specific to Python. Computational modeling: A model is a simplified description of a system that is useful for simulation or analysis. Computational models are designed to take advantage of cheap, fast computation. Philosophy of science: The models and results in this book raise a number of questions relevant to the philosophy of science, including the nature of scientific laws, theory choice, realism and instrumentalism, holism and reductionism, and Bayesian epistemology. This book focuses on discrete models, which include graphs, cellular automata, and agent-based models. They are often characterized by structure, rules and transitions rather than by equations. They tend to be more abstract than continuous models; in some cases there is no direct correspondence between the model and a physical system. Complexity science is an interdisciplinary field---at the intersection of mathematics, computer science and physics---that focuses on these kinds of models.--Open Textbook Library. Read more...
Abstract: This book is about complexity science, data structures and algorithms, intermediate programming in Python, and the philosophy of science: Data structures and algorithms: A data structure is a collection that contains data elements organized in a way that supports particular operations. For example, a dictionary organizes key-value pairs in a way that provides fast mapping from keys to values, but mapping from values to keys is generally slower. An algorithm is a mechanical process for performing a computation. Designing efficient programs often involves the co-evolution of data structures and the algorithms that use them. For example, the first few chapters are about graphs, a data structure that is a good implementation of a graph---nested dictionaries---and several graph algorithms that use this data structure. Python programming: This book picks up where Think Python leaves off. I assume that you have read that book or have equivalent knowledge of Python. As always, I will try to emphasize fundmental ideas that apply to programming in many languages, but along the way you will learn some useful features that are specific to Python. Computational modeling: A model is a simplified description of a system that is useful for simulation or analysis. Computational models are designed to take advantage of cheap, fast computation. Philosophy of science: The models and results in this book raise a number of questions relevant to the philosophy of science, including the nature of scientific laws, theory choice, realism and instrumentalism, holism and reductionism, and Bayesian epistemology. This book focuses on discrete models, which include graphs, cellular automata, and agent-based models. They are often characterized by structure, rules and transitions rather than by equations. They tend to be more abstract than continuous models; in some cases there is no direct correspondence between the model and a physical system. Complexity science is an interdisciplinary field---at the intersection of mathematics, computer science and physics---that focuses on these kinds of models.--Open Textbook Library

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Think Complexity
Allen B. Downey
Editor
Mike Loukides
Editor
Meghan Blanchette

Copyright 2012 Allen Downey

OReilly books may be purchased for educational, business, or sales promotional use. Online editions are also available for most titles (.

Think Complexity is available under the Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License (http://creativecommons.org/licenses/by-nc-sa/3.0/legalcode). The author maintains an online version at http://thinkcomplex.com/thinkcomplexity.pdf.

Nutshell Handbook, the Nutshell Handbook logo, and the OReilly logo are registered trademarks of OReilly Media, Inc. Think Complexity , the image of a black eagle, and related trade dress are trademarks of OReilly Media, Inc.

Many of the designations used by manufacturers and sellers to distinguish their products are claimed as trademarks. Where those designations appear in this book, and OReilly Media, Inc., was aware of a trademark claim, the designations have been printed in caps or initial caps.

While every precaution has been taken in the preparation of this book, the publisher and author assume no responsibility for errors or omissions, or for damages resulting from the use of the information contained herein.

OReilly Media Preface Why I Wrote This Book This book is inspired by - photo 1

O'Reilly Media

Preface
Why I Wrote This Book

This book is inspired by boredom and fascination: boredom with the usual presentation of data structures and algorithms, and fascination with complex systems. The problem with data structures is that they are often taught without a motivating context; the problem with complexity science is that it is usually not taught at all.

In 2005, I developed a new class at Olin College where students read about topics in complexity, implement experiments in Python, and learn about algorithms and data structures. I wrote the first draft of this book when I taught the class again in 2008.

For the third offering, in 2011, I prepared the book for publication and invited the students to submit their work in the form of case studies for inclusion in the book. I recruited nine professors at Olin to serve as a program committee and choose the reports that were ready for publication. The case studies that met the standard are included in this book. For the next edition, we invite additional submissions from readers (see ).

Suggestions for Teachers

This book is intended as a scaffold for an intermediate-level college class in Python programming and algorithms. My class uses the following structure:

Reading

Complexity science is a collection of diverse topics. There are many interconnections, but it takes time to see them. To help students see the big picture, I give them readings from popular presentations of work in the field. My reading list and suggestions on how to use it are in .

Exercises

This book presents a series of exercises; many of them ask students to reimplement seminal experiments and extend them. One of the attractions of complexity is that the research frontier is accessible with moderate programming skills and undergraduate mathematics.

Discussion

The topics in this book raise questions in the philosophy of science, and lend themselves to further reading and classroom discussion.

Case studies

In my class, we spend almost half the semester on case studies. Students participate in an idea generation process, form teams, and work for 67 weeks on a series of experiments, which they then present in the form of a publishable 46 page report.

An outline of the course and my notes are available at https://sites.google.com/site/compmodolin.

Suggestions for Autodidacts

In 200910, I was a Visiting Scientist at Google, working in their Cambridge office. One of the things that impressed me about the software engineers I worked with was their broad intellectual curiosity and drive to expand their knowledge and skills.

I hope this book helps people like them explore a set of topics and ideas they might not encounter otherwise, practice programming skills in Python, and learn more about data structures and algorithms (or review material that might have been less engaging the first time around).

Some features of this book intended for autodidacts are:

Technical depth

There are many books about complex systems, but most are written for a popular audience. They usually skip the technical details, which is frustrating for people who can handle it. This book presents the mathematics and other technical content you need to really understand this work.

Further reading

Throughout the book, I include pointers to further reading, including original papers (most of which are available electronically), related articles from Wikipedia,[] and other sources.

Exercises and (some) solutions

For many of the exercises, I provide code to get you started, and solutions if you get stuck or want to compare your code to mine.

Opportunity to contribute

If you explore a topic not covered in this book, reimplement an interesting experiment, or perform one of your own, I invite you to submit a case study for possible inclusion in the next edition of the book. See for details.

This book will continue to be a work in progress. You can read about ongoing developments at http://www.facebook.com/thinkcomplexity.

Allen B. Downey
Professor of Computer Science
Olin College of Engineering
Needham, MA
Contributor List

If you have a suggestion or correction, please send an email to downey@allendowney.com. If I make a change based on your feedback, I will add you to the contributor list (unless you ask to be omitted).

If you include at least part of the sentence the error appears in, that makes it easy for me to search. Page and section numbers are fine, too, but not quite as easy to work with. Thanks!

  • Richard Hollands pointed out several typos.

  • John Harley, Jeff Stanton, Colden Rouleau, and Keerthik Omanakuttan are computational modeling students who pointed out typos.

  • Muhammad Najmi bin Ahmad Zabidi caught some typos.

  • Phillip Loh, Corey Dolphin, Noam Rubin, and Julian Ceipek found typos and made helpful suggestions.

  • Jos Oscar Mur-Miranda found several typos.

  • I am grateful to the program committee that read and selected the case studies included in this book: Sarah Spence Adams, John Geddes, Stephen Holt, Vincent Manno, Robert Martello, Amon Millner, Jos Oscar Mur-Miranda, Mark Somerville, and Ursula Wolz.

  • Sebastian Schner sent two pages of typos!

  • Jonathan Harford found a code error.

  • Philipp Marek sent a number of corrections.

Conventions Used in This Book

The following typographical conventions are used in this book:

Italic

Indicates URLs, email addresses, filenames, and file extensions.

Bold

Indicates new terms.

Constant width

Used for program listings, as well as within paragraphs to refer to program elements such as variable or function names, databases, data types, environment variables, statements, and keywords.

Constant width bold

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