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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...

Global Positioning Systems, Inertial Navigation, and Integration
Global Positioning Systems, Inertial Navigation, and Integration

An updated guide to GNSS and INS, and solutions to real-world GPS/INS problems with Kalman filtering

Written by recognized authorities in the field, this second edition of a landmark work provides engineers, computer scientists, and others with a working familiarity with the theory and contemporary...

Algorithmic Information Theory: Mathematics of Digital Information Processing (Signals and Communication Technology)
Algorithmic Information Theory: Mathematics of Digital Information Processing (Signals and Communication Technology)
This book deals with information processing; so it is far from being a book on information theory (which would be built on description and estimation). The reader will be shown the horse, but not the saddle. At any rate, at the very beginning, there was a series of lectures on “Information theory, through the looking-glass of an...
The Fractal Geometry of Nature
The Fractal Geometry of Nature
Imagine an equilateral triangle. Now, imagine smaller equilateral triangles perched in the center of each side of the original triangle--you have a Star of David. Now, place still smaller equilateral triangles in the center of each of the star's 12 sides. Repeat this process infinitely and you have a Koch snowflake, a mind-bending geometric...
An Introduction to Kolmogorov Complexity and Its Applications (Texts in Computer Science)
An Introduction to Kolmogorov Complexity and Its Applications (Texts in Computer Science)

“The book is outstanding and admirable in many respects. ... is necessary reading for all kinds of readers from undergraduate students to top authorities in the field.” Journal of Symbolic Logic

Written by two experts in the field, this is the only comprehensive and unified treatment of the central ideas and...

Category Theory for Computing Science
Category Theory for Computing Science

This book is a textbook in basic category theory, written specifically to be read by researchers and students in computing science. We expound the constructions we feel are basic to category theory in the context of examples and applications to computing science. Some categorical ideas and constructions are already used heavily in computing...

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
...
Topics in Geometry, Coding Theory and Cryptography (Algebra and Applications)
Topics in Geometry, Coding Theory and Cryptography (Algebra and Applications)
The purpose of this reviewarticle is to serve as an introduction and at the same time, as an invitation to the theory of towers of function fields over finite fields. More specifically, we treat here the case of explicit towers; i.e., towers where the function fields are given by explicit equations. The asymptotic behaviour of the genus and of the...
The Finite Element Method: Theory, Implementation, and Applications (Texts in Computational Science and Engineering)
The Finite Element Method: Theory, Implementation, and Applications (Texts in Computational Science and Engineering)

This book gives an introduction to the finite element method as a general computational method for solving partial differential equations approximately. Our approach is mathematical in nature with a strong focus on the underlying mathematical principles, such as approximation properties of piecewise polynomial spaces, and variational...

Quantum Invariants: A Study of Knot, 3-Manifolds, and Their Sets
Quantum Invariants: A Study of Knot, 3-Manifolds, and Their Sets
Ohtsuk's book is very readable, for he makes an attempt to present the material as straightforward as possible. -- Mathematical Reviews, 2003

This is a nicely written and useful book....presenting a lot of material ordered by a clear guiding line. -- Mathematics Abstracts, 2002

This book provides
...
Automatic Sequences: Theory, Applications, Generalizations
Automatic Sequences: Theory, Applications, Generalizations

Combining concepts of mathematics and computer science, this book is about the sequences of symbols that can be generated by simple models of computation called "finite automata". Suitable for graduate students or advanced undergraduates, it starts from elementary principles and develops the basic theory. The study then progresses...

Making, Breaking Codes: Introduction to Cryptology
Making, Breaking Codes: Introduction to Cryptology

This book is an introduction to modern ideas in cryptology and how to employ these ideas. It includes the relevant material on number theory, probability, and abstract algebra, in addition to descriptions of ideas about algorithms and com plexity theory. Three somewhat different terms appear in the discussion of secure communications...

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