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#### Kolmogorov's Heritage in Mathematics

Springer Berlin Heidelberg 2007; US$ 69.99A.N. Kolmogorov (b. Tambov 1903, d. Moscow 1987) was one of the most brilliant mathematicians that the world has ever known. Incredibly deep and creative, he was able to approach each subject with a completely new point of view: in a few magnificent pages, which are models of shrewdness and imagination, and which astounded his contemporaries, he changed... more...

#### Computational Complexity

Cambridge University Press 2008; US$ 72.00A conceptual introduction to modern topics in complexity for advanced undergraduate and graduate students. more...

#### Computational Complexity

Cambridge University Press 2009; US$ 48.00New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students. more...

#### Perspectives in Computation

University of Chicago Press 2009; US$ 31.00Computation is the process of applying a procedure or algorithm to the solution of a mathematical problem. Mathematicians and physicists have been occupied for many decades pondering which problems can be solved by which procedures, and, for those that can be solved, how this can most efficiently be done. In recent years, quantum mechanics has augmented... more...

#### Computability and Randomness

Oxford University Press 2009; US$ 44.99The interplay between computability and randomness has been an active area of research in recent years, reflected by ample funding in the USA, numerous workshops, and publications on the subject. The complexity and the randomness aspect of a set of natural numbers are closely related. Traditionally, computability theory is concerned with the complexity... more...

#### Foundations of Complex Systems

World Scientific Publishing Company 2012; US$ 164.00This book provides a self-contained presentation of the physical and mathematical laws governing complex systems. Complex systems arising in natural, engineering, environmental, life and social sciences are approached from a unifying point of view using an array of methodologies such as microscopic and macroscopic level formulations, deterministic... more...

#### Understanding Information and Computation

Ashgate Publishing Ltd 2012; US$ 154.95The World Wide Web is truly astounding. It has changed the way we interact, learn and innovate. It is the largest sociotechnical system humankind has created and is advancing at a pace that leaves most in awe. It is an unavoidable fact that the future of the world is now inextricably linked to the future of the Web. Almost every day it appears to... more...

#### Chaos and Complex Systems

Springer Berlin Heidelberg 2013; US$ 259.00Complexity Science and Chaos Theory are fascinating areas of scientific research with wide-ranging applications. The interdisciplinary nature and ubiquity of complexity and chaos are features that provides scientists with a motivation to pursue general theoretical tools and frameworks. Complex systems give rise to emergent behaviors, which in turn... more...

#### People, Problems, and Proofs

Springer Berlin Heidelberg 2013; US$ 39.99This book offers insights into theoretical computer science and mathematics, distilling complex topics into manageable essays that summarize and explain key developments, historical context, and future directions of complexity, computability and algorithms. more...

#### Can Markets Compute Equilibria?

International Monetary Fund 2009; US$ 9.00Recent turmoil in financial and commodities markets has renewed questions regarding how well markets discover equilibrium prices, particularly when those markets are highly complex. A relatively new critique questions whether markets can realistically find equilibrium prices if computers cannot. For instance, in a simple exchange economy with Leontief... more...