Mathematics and Computation
by Avi Wigderson
Publisher: Princeton University Press 2019
ISBN-13: 9780691189130
Number of pages: 340
Description:
Mathematics and Computation provides a broad, conceptual overview of computational complexity theory -- the mathematical study of efficient computation. It is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields.
Download or read it online for free here:
Download link
(3.3MB, PDF)
Similar books
Computational Complexity: A Conceptual Perspectiveby Oded Goldreich - Cambridge University Press
This book offers a comprehensive perspective to modern topics in complexity theory. It can be used as an introduction as either a textbook or for self-study, or to experts, since it provides expositions of the various sub-areas of complexity theory.
(14338 views)
Lecture Notes on Computational Complexityby Luca Trevisan
Notes from a graduate courses on Computational Complexity. The first 15 lectures cover fundamentals, the remaining is advanced material: Hastad's optimal inapproximability results, lower bounds for parity in bounded depth-circuits, and more.
(17376 views)
Communication Complexity (for Algorithm Designers)by Tim Roughgarden - Stanford University
The two biggest goals of the course are: 1. Learn several canonical problems that have proved the most useful for proving lower bounds; 2. Learn how to reduce lower bounds for fundamental algorithmic problems to communication complexity lower bounds.
(8374 views)
Around Kolmogorov Complexity: Basic Notions and Resultsby Alexander Shen - arXiv.org
Algorithmic information theory studies description complexity and randomness. This text covers the basic notions of algorithmic information theory: Kolmogorov complexity, Solomonoff universal a priori probability, effective Hausdorff dimension, etc.
(8811 views)