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Classical Field Theory
Classical Field Theory
Classical field theory predicts how physical fields interact with matter, and is a logical precursor to quantum field theory. This introduction focuses purely on modern classical field theory, helping graduates and researchers build an understanding of classical field theory methods before embarking on future studies in quantum field theory. It...
Bayesian Statistics the Fun Way: Understanding Statistics and Probability with Star Wars, LEGO, and Rubber Ducks
Bayesian Statistics the Fun Way: Understanding Statistics and Probability with Star Wars, LEGO, and Rubber Ducks
Fun guide to learning Bayesian statistics and probability through unusual and illustrative examples.

Probability and statistics are increasingly important in a huge range of professions. But many people use data in ways they don't even understand, meaning they aren't getting the most from it. Bayesian
...
Quantum Strangeness: Wrestling with Bell's Theorem and the Ultimate Nature of Reality (The MIT Press)
Quantum Strangeness: Wrestling with Bell's Theorem and the Ultimate Nature of Reality (The MIT Press)
A physicist's efforts to understand the enigma that is quantum mechanics.

Quantum mechanics is one of the glories of our age. The theory lies at the heart of modern society. Quantum mechanics is one of our most valuable forecasters—a “great predictor.” It has immeasurably altered our conception of the...

Memory as a Programming Concept in C and C++
Memory as a Programming Concept in C and C++

The overwhelming majority of program bugs and computer crashes stem from problems of memory access, allocation, or deallocation. Such memory-related problems are also notoriously difficult to debug. Yet the role that memory plays in C and C++ programming is a subject often overlooked in courses and books because it requires specialized knowledge...

Discrete Mathematics for Computer Scientists
Discrete Mathematics for Computer Scientists

Many colleges and universities offer a course in discrete mathematics. Students taking these courses are from many disciplines, one of the largest being computer science. As a part of the Mathematics Across the Curriculum project at Dartmouth, supported by the National Science Foundation,1 we proposed to create a discrete mathematics...

Seven Databases in Seven Weeks: A Guide to Modern Databases and the NoSQL Movement
Seven Databases in Seven Weeks: A Guide to Modern Databases and the NoSQL Movement
It has been said that data is the new oil. If this is so, then databases are the fields, the refineries, the drills, and the pumps. Data is stored in databases, and if you’re interested in tapping into it, then coming to grips with the modern equipment is a great start.

Databases are
...
Fundamental Mathematical Structures of Quantum Theory: Spectral Theory, Foundational Issues, Symmetries, Algebraic Formulation
Fundamental Mathematical Structures of Quantum Theory: Spectral Theory, Foundational Issues, Symmetries, Algebraic Formulation

This textbook presents in a concise and self-contained way the advanced fundamental mathematical structures in quantum theory. It is based on lectures prepared for a 6 months course for MSc students. The reader is introduced to the beautiful interconnection between logic, lattice theory, general probability theory, and general...

Differential Geometry: Bundles, Connections, Metrics and Curvature (Oxford Graduate Texts in Mathematics, Vol. 23)
Differential Geometry: Bundles, Connections, Metrics and Curvature (Oxford Graduate Texts in Mathematics, Vol. 23)

Bundles, connections, metrics and curvature are the 'lingua franca' of modern differential geometry and theoretical physics. This book will supply a graduate student in mathematics or theoretical physics with the fundamentals of these objects.

Many of the tools used in differential topology are introduced and the
...

Automated Reasoning: 4th International Joint Conference, IJCAR 2008, Sydney, NSW, Australia, August 12-15, 2008, Proceedings
Automated Reasoning: 4th International Joint Conference, IJCAR 2008, Sydney, NSW, Australia, August 12-15, 2008, Proceedings
This book constitutes the refereed proceedings of the 4th International Joint Conference on Automated Reasoning, IJCAR 2008, held in Sydney, Australia, in August 2008. The 26 revised full research papers and 13 revised system descriptions presented together with 4 invited papers and a summary of the CASC-J4 systems competition were carefully...
The History of Approximation Theory: From Euler to Bernstein
The History of Approximation Theory: From Euler to Bernstein

The problem of approximating a given quantity is one of the oldest challenges faced by mathematicians. Its increasing importance in contemporary mathematics has created an entirely new area known as Approximation Theory. The modern theory was initially developed along two divergent schools of thought: the Eastern or Russian group, employing...

Advances in Applied Artificial Intelligence (Computational Intelligence and Its Applications)
Advances in Applied Artificial Intelligence (Computational Intelligence and Its Applications)
Discussion on the nature of intelligence long pre-dated the development of the
electronic computer, but along with that development came a renewed burst of investigation
into what an artificial intelligence would be. There is still no consensus on how
to define artificial intelligence: Early definitions tended to discuss the type of
...
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...
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