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#### Computational Complexity

Elsevier Science 2004; US$ 235.00There has been a common perception that computational complexity is a theory of "bad news" because its most typical results assert that various real-world and innocent-looking tasks are infeasible. In fact, "bad news" is a relative term, and, indeed, in some situations (e.g., in cryptography), we want an adversary to not be able to perform a certain... 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...

#### Computing in Nonlinear Media and Automata Collectives

CRC Press 2001; US$ 231.00Computing in Nonlinear Media and Automata Collectives presents an account of new ways to design massively parallel computing devices in advanced mathematical models, such as cellular automata and lattice swarms, from unconventional materials, including chemical solutions, bio-polymers, and excitable media. more...

#### Constructivity and Computability in Historical and Philosophical Perspective

Springer Netherlands 2014; US$ 129.00Ranging from Alan Turing?s seminal 1936 paper to the latest work on Kolmogorov complexity and linear logic, this comprehensive new work clarifies the relationship between computability on the one hand and constructivity on the other. The authors argue that even though constructivists have largely shed Brouwer?s solipsistic attitude to logic, there... more...

#### Foundations of Complex Systems

World Scientific Publishing Company 2012; US$ 95.00This 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...

#### From System Complexity to Emergent Properties

Springer Berlin Heidelberg 2009; US$ 269.00This book highlights complexity modeling through dynamical or behavioral systems. It presents multidisciplinary approaches for getting representations of complex systems and using different methods to extract emergent structures. more...

#### An Introduction to Kolmogorov Complexity and Its Applications

Springer New York 2013; US$ 99.00Briefly, we review the basic elements of computability theory and prob ability theory that are required. Finally, in order to place the subject in the appropriate historical and conceptual context we trace the main roots of Kolmogorov complexity. This way the stage is set for Chapters 2 and 3, where we introduce the notion of optimal effective descriptions... more...

#### 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...

#### 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...