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Probability (Graduate Studies in Mathematics)
Probability (Graduate Studies in Mathematics)

This is a textbook for a one-semester graduate course in measure-theoretic probability theory, but with ample material to cover an ordinary year-long course at a more leisurely pace. Khoshnevisan's approach is to develop the ideas that are absolutely central to modern probability theory, and to showcase them by presenting their various...

Mathematics of Discrete Structures for Computer Science
Mathematics of Discrete Structures for Computer Science

Mathematics plays a key role in computer science, some researchers would consider computers as nothing but the physical embodiment of mathematical systems. And whether you are designing a digital circuit, a computer program or a new programming language, you need mathematics to be able to reason about the design -- its correctness,...

Discrete Mathematics DeMYSTiFied
Discrete Mathematics DeMYSTiFied
In today’s world, analytical thinking is a critical part of any solid education. An important segment of this kind of reasoning—one that cuts across many disciplines—is discrete mathematics. Discrete math concerns counting, probability, (sophisticated forms of) addition, and limit processes over discrete sets. Combinatorics, graph...
Linear Algebra and Geometry
Linear Algebra and Geometry

This book is the result of a series of lectures on linear algebra and the geometry of multidimensional spaces given in the 1950s through 1970s by Igor R. Shafarevich at the Faculty of Mechanics and Mathematics of Moscow State University.

Notes for some of these lectures were preserved in the faculty library, and these were used...
Handbook of Multisensor Data Fusion: Theory and Practice, Second Edition (Electrical Engineering and Applied Signal Processing)
Handbook of Multisensor Data Fusion: Theory and Practice, Second Edition (Electrical Engineering and Applied Signal Processing)
In the years since the bestselling first edition, fusion research and applications have adapted to service-oriented architectures and pushed the boundaries of situational modeling in human behavior, expanding into fields such as chemical and biological sensing, crisis management, and intelligent buildings.

Handbook of Multisensor Data...

Translating Statistics to Make Decisions: A Guide for the Non-Statistician
Translating Statistics to Make Decisions: A Guide for the Non-Statistician

Examine and solve the common misconceptions and fallacies that non-statisticians bring to their interpretation of statistical results. Explore the many pitfalls that non-statisticians―and also statisticians who present statistical reports to non-statisticians―must avoid if statistical results are to be correctly used for...

Essential Discrete Math for Computer Science
Essential Discrete Math for Computer Science

This book introduces readers to the mathematics of computer science and prepares them for the math they will encounter in other college courses. It includes applications that are specific to computer science, helps learners to develop reasoning skills, and provides the fundamental mathematics necessary for computer scientists. Chapter topics...

Fusion of Neural Networks, Fuzzy Systems and Genetic Algorithms: Industrial Applications
Fusion of Neural Networks, Fuzzy Systems and Genetic Algorithms: Industrial Applications
Artificial neural networks can mimic the biological information-processing mechanism in - a very limited sense. Fuzzy logic provides a basis for representing uncertain and imprecise knowledge and forms a basis for human reasoning. Neural networks display genuine promise in solving problems, but a definitive theoretical basis does not yet exist for...
Reasoning with Probabilistic and Deterministic Graphical Models: Exact Algorithms (Synthesis Lectures on Artificial Intelligence and Machine Learning)
Reasoning with Probabilistic and Deterministic Graphical Models: Exact Algorithms (Synthesis Lectures on Artificial Intelligence and Machine Learning)

Graphical models (e.g., Bayesian and constraint networks, influence diagrams, and Markov decision processes) have become a central paradigm for knowledge representation and reasoning in both artificial intelligence and computer science in general. These models are used to perform many reasoning tasks, such as scheduling, planning and...

Fuzzy Equational Logic (Studies in Fuzziness and Soft Computing)
Fuzzy Equational Logic (Studies in Fuzziness and Soft Computing)
The present book deals with algebras, congruences, morphisms, reasoning about identities, classes of algebras and their axiomatizability, etc., from the point of view of fuzzy logic. We therefore deal with topics traditionally studied in universal algebra. Our approach is the following. In classical universal algebra, one works in bivalent setting....
College Algebra
College Algebra

The Barnett/Ziegler/Byleen/Sobecki College Algebra series is designed to give students a solid grounding in pre-calculus topics in a user-friendly manner. The series emphasizes computational skills, ideas, and problem solving rather than theory. Explore/Discuss boxes integrated throughout each text encourage students to think critically about...

Handbook of Numerical Analysis : Special Volume: Foundations of Computational Mathematics
Handbook of Numerical Analysis : Special Volume: Foundations of Computational Mathematics
A long time ago, when younger and rasher mathematicians, we both momentarily harboured the ambition that one day, older and wiser, we might write a multivolume treatise titled “On the Mathematical Foundations of Numerical Analysis”. And then it dawned that such a creation already exists: it is called ‘a mathematics library’....
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