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Statistical Approach to Quantum Field Theory: An Introduction (Lecture Notes in Physics)
Statistical Approach to Quantum Field Theory: An Introduction (Lecture Notes in Physics)

Over the past few decades the powerful methods of statistical physics and Euclidean quantum field theory have moved closer together, with common tools based on the use of path integrals. The interpretation of Euclidean field theories as particular systems of statistical physics has opened up new avenues for understanding strongly coupled...

An Introduction to the Analysis of Algorithms (2nd Edition)
An Introduction to the Analysis of Algorithms (2nd Edition)

Despite growing interest, basic information on methods and models for mathematically analyzing algorithms has rarely been directly accessible to practitioners, researchers, or students. An Introduction to the Analysis of Algorithms, Second Edition, organizes and presents that knowledge, fully...

Performance Analysis of Queuing and Computer Networks
Performance Analysis of Queuing and Computer Networks
Performance Analysis of Queuing and Computer Networks develops simple models and analytical methods from first principles to evaluate performance metrics of various configurations of computer systems and networks. It presents many concepts and results of probability theory and stochastic processes.

After an introduction to...

Algebraic Theory of Automata Networks (SIAM Monographs on Discrete Mathematics and Applications, 11)
Algebraic Theory of Automata Networks (SIAM Monographs on Discrete Mathematics and Applications, 11)
This self-contained monograph covers the foundations of what is currently known about automata networks, giving the reader sufficient theoretical background to be at the forefront of research in many related areas. Alexandra Kireeva, Mathematical Reviews

Algebraic Theory of Automata Networks investigates automata networks as
...
Inverse Problem Theory and Methods for Model Parameter Estimation
Inverse Problem Theory and Methods for Model Parameter Estimation
‘Tarantola's book is undoubtedly the most important work on probabilistic inverse theory. It presents a complete theory where a physical parameter is represented, not by a number, but by a probability distribution.’ Klaus Mosegaard, Niels Bohr Institute

The use of actual observations to infer the properties of a
...
Introduction to Information Theory and Data Compression, Second Edition
Introduction to Information Theory and Data Compression, Second Edition
An effective blend of carefully explained theory and practical applications, this text imparts the fundamentals of both information theory and data compression. Although the two topics are related, this unique text allows either topic to be presented independently, and it was specifically designed so that the data compression section requires...
Discrete or Continuous?: The Quest for Fundamental Length in Modern Physics
Discrete or Continuous?: The Quest for Fundamental Length in Modern Physics

The idea of infinity plays a crucial role in our understanding of the universe, with the infinite spacetime continuum perhaps the best-known example - but is spacetime really continuous? Throughout the history of science, many have felt that the continuum model is an unphysical idealization, and that spacetime should be thought of as...

Introduction to Random Signals and Noise
Introduction to Random Signals and Noise

Random signals and noise are present in many engineering systems and networks. Signal processing techniques allow engineers to distinguish between useful signals in audio, video or communication equipment, and interference, which disturbs the desired signal.

With a strong mathematical grounding, this text...

Formal Syntax and Semantics of Programming Languages: A Laboratory Based Approach
Formal Syntax and Semantics of Programming Languages: A Laboratory Based Approach
This text developed out of our experiences teaching courses covering the formal semantics of programming languages. Independently we both developed laboratory exercises implementing small programming languages in Prolog following denotational definitions. Prolog proved to be an excellent tool for illustrating the formal semantics of programming...
Method of Discrete Vortices
Method of Discrete Vortices
The present book provides an effective direct method of the numerical solution of singular integral equations for both one and two (or more) dimensions and includes multiple integrals, especiaIly as applied to separated and vortex flows in aerodynamics. The authors of the book are a professional mathematician (Ivan Lifanov) and a numerical...
Cryptography: Theory and Practice (Discrete Mathematics and Its Applications)
Cryptography: Theory and Practice (Discrete Mathematics and Its Applications)

My objective in writing this book was to produce a general, comprehensive textbook that treats all the essential core areas of cryptography. Although many books and monographs on cryptography have been written in recent years, the majority of them tend to address specialized areas of cryptography. On the other hand, many of the existing general...

Discrete Mathematics for Computer Scientists
Discrete Mathematics for Computer Scientists

Many colleges and universities offer a course in discrete mathematics. Students taking these courses are from many disciplines, one of the largest being computer science. As a part of the Mathematics Across the Curriculum project at Dartmouth, supported by the National Science Foundation,1 we proposed to create a discrete mathematics...

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