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The Calculus of Computation: Decision Procedures with Applications to Verification
The Calculus of Computation: Decision Procedures with Applications to Verification
Computational logic is a fast-growing field with applications in artificial intelligence, constraint solving, and the design and verification of software and hardware systems. Written with graduate and advanced undergraduate students in mind, this textbook introduces computational logic from the foundations of first-order logic to state-of-the-art...
Physics for Game Developers
Physics for Game Developers
Colliding billiard balls. Missile trajectories. Cornering dynamics in speeding cars. By applying the laws of physics, you can realistically model nearly everything in games that bounces around, flies, rolls, slides, or isn't sitting still, to create compelling, believable content for computer games, simulations, and animation. Physics for Game...
System Engineering and Automation: An Interactive Educational Approach
System Engineering and Automation: An Interactive Educational Approach

This book provides insight and enhanced appreciation of analysis, modeling and control of dynamic systems. The reader is assumed to be familiar with calculus, physics and some programming skills. It might develop the reader’s ability to interpret physical significance of mathematical results in system analysis. The book also prepares...

Type Theory and Functional Programming (International Computer Science Series)
Type Theory and Functional Programming (International Computer Science Series)

This book explores the role of Martin-Lof s constructive type theory in computer programming. The main focus of the book is how the theory can be successfully applied in practice. Introductory sections provide the necessary background in logic, lambda calculus and constructive mathematics, and exercises and chapter summaries are included to...

Mechanical Logic in Three-Dimensional Space
Mechanical Logic in Three-Dimensional Space

The book explores how build a mechanical inferences by making use of arithmetic operations on a string of numbers representing statements. In this way logic is reduced to a branch of the combinatory calculus. It covers the field of traditional logic by showing that any kind of inference can be mechanically reduced to three-variables and...

Einstein in Matrix Form: Exact Derivation of the Theory of Special and General Relativity without Tensors
Einstein in Matrix Form: Exact Derivation of the Theory of Special and General Relativity without Tensors

This book is an introduction to the theories of Special and General Relativity. The target audience are physicists, engineers and applied scientists who are looking for an understandable introduction to the topic - without too much new mathematics. The fundamental equations of Einstein's theory of Special and General Relativity are...

Mathematica by Example
Mathematica by Example
Mathematica bv Example is intended to bridge the gap which has existed between the very elementary handbooks available on Mathematica and those reference books written for the more advanced Mathematica users. This book is an extension of a manuscript which was developed to quickly introduce enough Mathematica commands to a group of...
An Extended Entity-Relationship Model: Fundamentals and Pragmatics (Lecture Notes in Computer Science)
An Extended Entity-Relationship Model: Fundamentals and Pragmatics (Lecture Notes in Computer Science)
Studying modern database languages one recognizes that there is a gap between language features and theoretical foundations:

* Studies of the formal foundations exist for the relational data model but not for the Entity-Relationship model, which is a model used by numerous practical people. Also, most extensions of
...
Complex Variables and Applications
Complex Variables and Applications

"Complex Variables and Applications, 8E" will serve, just as the earlier editions did, as a textbook for an introductory course in the theory and application of functions of a complex variable. This new edition preserves the basic content and style of the earlier editions. The text is designed to develop the theory that is prominent...

Advanced Calculus
Advanced Calculus
New publisher! Corrected version! Demonstrating analytical and numerical techniques for attacking problems in the application of mathematics, this well-organized, clearly written text presents the logical relationship and fundamental notations of analysis. Buck discusses analysis not solely as a tool, but as a subject in its own right. This...
Solving PDEs in C++ (Computational Science and Engineering)
Solving PDEs in C++ (Computational Science and Engineering)
This comprehensive book not only introduces the C and C++ programming languages but also shows how to use them in the numerical solution of partial differential equations (PDEs). It leads the reader through the entire solution process, from the original PDE, through the discretization stage, to the numerical solution of the resulting algebraic...
Infinitesimal Differences: Controversies between Leibniz and his Contemporaries
Infinitesimal Differences: Controversies between Leibniz and his Contemporaries
The essays offer a unified and comprehensive view of 17th century mathematical and metaphysical disputes over status of infinitesimals, particularly the question whether they were real or mere fictions. Leibnizs development of the calculus and his understanding of its metaphysical foundation are taken as both a point of departure and a...
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