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Proof Technology and Computation, Volume 200 NATO Science Series: Computer and Systems Sciences (Nato Science)
Proof Technology and Computation, Volume 200 NATO Science Series: Computer and Systems Sciences (Nato Science)
Proof technology will become an established field in software engineering. It generally aims at integrating proof processing into industrial design and verifications tools. The origins of this technology lie in the systematic understanding of a fully-fledged, precise notion of proof by mathematics and logics. Using this profound understanding,...
Difference Equations, Second Edition: An Introduction with Applications
Difference Equations, Second Edition: An Introduction with Applications

Difference Equations, Second Edition, presents a practical introduction to this important field of solutions for engineering and the physical sciences. Topic coverage includes numerical analysis, numerical methods, differential equations, combinatorics and discrete modeling. A hallmark of this revision is the diverse application to...

Automated Deduction in Geometry: 8th International Workshop, ADG 2010, Munich, Germany
Automated Deduction in Geometry: 8th International Workshop, ADG 2010, Munich, Germany

From July 22 to July 24, 2010, the Technische Universit¨at M¨unchen, Germany, hosted the eighth edition of the now well-established ADG workshop dedicated to Automatic Deduction in Geometry. From the first edition, which was held in Toulouse in 1996, to ADG 2010, a slow mutation has taken place. The workshop that was formerly...

Formal Correctness of Security Protocols (Information Security and Cryptography)
Formal Correctness of Security Protocols (Information Security and Cryptography)
Computer network security is critical to fraud prevention and accountability. Network participants are required to observe predefined steps called security protocols, whose proof of correctness is evidence that each protocol step preserves some desired properties.

The author investigates proofs of correctness of realistic security protocols in...

Constructing Correct Software (Formal Approaches to Computing and Information Technology)
Constructing Correct Software (Formal Approaches to Computing and Information Technology)
Central to Formal Methods is the so-called Correctness Theorem which relates a specification to its correct Implementations. This theorem is the goal of traditional program testing and, more recently, of program verification (in which the theorem must be proved). Proofs are difficult, though even with the use of powerful theorem provers. This...
Logical Foundations of Computer Science: International Symposium, LFCS 2007
Logical Foundations of Computer Science: International Symposium, LFCS 2007

The Symposium on Logical Foundations of Computer Science series provides a forum for the fast-growing body of work in the logical foundations of computer science, e.g., those areas of fundamental theoretical logic related to computer science. The LFCS series began with “Logic at Botik,” Pereslavl-Zalessky, 1989, which was...

Math for Business and Economics: Compendium of Essential Formulas
Math for Business and Economics: Compendium of Essential Formulas

This textbook contains and explains essential mathematical formulas within an economic context. A broad range of aids and supportive examples will help readers to understand the formulas and their practical applications. This mathematical formulary is presented in a practice-oriented, clear, and understandable manner, as it is needed...

The Pythagorean Theorem: A 4,000-Year History
The Pythagorean Theorem: A 4,000-Year History

By any measure, the Pythagorean theorem is the most famous statement in all of mathematics, one remembered from high school geometry class by even the most math-phobic students. Well over four hundred proofs are known to exist, including ones by a twelve-year-old Einstein, a young blind girl, Leonardo da Vinci, and a future president of the...

Fractal Image Compression: Theory and Application
Fractal Image Compression: Theory and Application

What is "Fractal Image Compression" anyway? You will have to read (he book to find out everything about it, and if you read the book, you really will find out almost everything that is currently known about it. In a sentence or two: fractal image compression is a method, or class of methods, that allows images to be stored on...

Linear Integral Equations (Applied Mathematical Sciences)
Linear Integral Equations (Applied Mathematical Sciences)

This book combines theory, applications, and numerical methods, and covers each of these fields with the same weight. In order to make the book accessible to mathematicians, physicists, and engineers alike, the author has made it as self-contained as possible, requiring only a solid foundation in differential and integral calculus. The...

Introduction to Algorithms, Second Edition
Introduction to Algorithms, Second Edition
The book moves forward with more advanced algorithms that implement strategies for solving more complicated problems (including dynamic programming techniques, greedy algorithms, and amortized analysis). Algorithms for graphing problems (used in such real-world business problems as optimizing flight schedules or flow through pipelines) come next....
A Primer for Mathematics Competitions
A Primer for Mathematics Competitions
The importance of mathematics competitions has been widely recognized for three reasons: they help to develop imaginative capacity and thinking skills whose value far transcends mathematics; they constitute the most effective way of discovering and nurturing mathematical talent; and they provide a means to combat the prevalent false image of...
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