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Fundamentals of Optical Waveguides, Second Edition
Fundamentals of Optical Waveguides, Second Edition
Fundamentals of Optical Waveguides is an essential resource for any researcher, professional or student involved in optics and communications engineering. Any reader interested in designing or actively working with optical devices must have a firm grasp of the principles of lightwave propagation. Katsunari Okamoto has presented this...
Biologically Inspired Artificial Intelligence for Computer Games
Biologically Inspired Artificial Intelligence for Computer Games
As game developers a few years from now, we may look back at current generation AI with astonishment and possibly with a hint of nostalgia. We will notice the extreme simplicity of the systems and behaviours we created, asking ourselves whether it was in fact by design or more by necessity. More importantly, we will be surprised by the amount of...
Handbook of Discrete and Computational Geometry, Second Edition (Discrete Mathematics and Its Applications)
Handbook of Discrete and Computational Geometry, Second Edition (Discrete Mathematics and Its Applications)

While high-quality books and journals in this field continue to proliferate, none has yet come close to matching the Handbook of Discrete and Computational Geometry, which in its first edition, quickly became the definitive reference work in its field. But with the rapid growth of the discipline and the many advances made over the past seven...

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...

Elliptic Curves: Number Theory and Cryptography, Second Edition (Discrete Mathematics and Its Applications)
Elliptic Curves: Number Theory and Cryptography, Second Edition (Discrete Mathematics and Its Applications)
Over the last two or three decades, elliptic curves have been playing an increasingly important role both in number theory and in related fields such as cryptography. For example, in the 1980s, elliptic curves started being used in cryptography and elliptic curve techniques were developed for factorization and primality...
Numerical and Symbolic Scientific Computing: Progress and Prospects (Texts & Monographs in Symbolic Computation)
Numerical and Symbolic Scientific Computing: Progress and Prospects (Texts & Monographs in Symbolic Computation)

The book presents the state of the art and results and also includes articles pointing to future developments. Most of the articles center around the theme of linear partial differential equations. Major aspects are fast solvers in elastoplasticity, symbolic analysis for boundary problems, symbolic treatment of operators, computer algebra,...

Introduction to Partial Differential Equations (Undergraduate Texts in Mathematics)
Introduction to Partial Differential Equations (Undergraduate Texts in Mathematics)

This textbook is designed for a one year course covering the fundamentals of partial differential equations, geared towards advanced undergraduates and beginning graduate students in mathematics, science, engineering, and elsewhere. The exposition carefully balances solution techniques, mathematical rigor, and significant applications, all...

Digital Signal Processing: A Computer-Based Approach, 2e with DSP Laboratory using MATLAB
Digital Signal Processing: A Computer-Based Approach, 2e with DSP Laboratory using MATLAB

"Digital Signal Processing: A Computer-Based Approach" is intended for a two-semester course on digital signal processing for seniors or first-year graduate students. Based on user feedback, a number of new topics have been added to the second edition, while some excess topics from the first edition have been removed. The author has...

New Trends in Optimal Filtering and Control for Polynomial and Time-Delay Systems (Lecture Notes in Control and Information Sciences)
New Trends in Optimal Filtering and Control for Polynomial and Time-Delay Systems (Lecture Notes in Control and Information Sciences)
Although the general optimal solution of the filtering problem for nonlinear state and observation equations confused with white Gaussian noises is given by the Kushner equation for the conditional density of an unobserved state with respect to observations (see [48] or [41], Theorem 6.5, formula (6.79) or [70], Subsection 5.10.5, formula...
Numerical Methods (De Gruyter Reference)
Numerical Methods (De Gruyter Reference)
This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This third volume collects authoritative chapters covering several numerical aspects of fractional calculus, including time and space fractional derivatives, finite differences and finite elements,...
Extending Structures: Fundamentals and Applications
Extending Structures: Fundamentals and Applications

Extending Structures: Fundamentals and Applications treats the extending structures (ES) problem in the context of groups, Lie/Leibniz algebras, associative algebras and Poisson/Jacobi algebras. This concisely written monograph offers the reader an incursion into the extending structures problem which provides a common ground for...

Verifying Concurrent Processes Using Temporal Logic (Lecture Notes in Computer Science) (v. 129)
Verifying Concurrent Processes Using Temporal Logic (Lecture Notes in Computer Science) (v. 129)

Concurrent processes can exhibit extremely complicated behavior, and neither informal reasoning nor testing is reliable enough to establish their correctness. In this thesis, we develop a new technique for the verification of parallel programs. The technique is stated in terms of axioms and inference rules, and it is used to prove...

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