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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
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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...

The Higher Arithmetic: An Introduction to the Theory of Numbers
The Higher Arithmetic: An Introduction to the Theory of Numbers
'Although this book is not written as a textbook but rather as a work for the general reader, it could certainly be used as a textbook for an undergraduate course in number theory and, in the reviewer's opinion, is far superior for this purpose to any other book in English.' From a review of the first edition in Bulletin of the American...
Parallel Scientific Computing in C++ and MPI: A Seamless Approach to Parallel Algorithms and their Implementation
Parallel Scientific Computing in C++ and MPI: A Seamless Approach to Parallel Algorithms and their Implementation
This book provides a seamless approach to numerical algorithms, modern programming techniques and parallel computing. These concepts and tools are usually taught serially across different courses and different textbooks, thus observing the connection between them. The necessity of integrating these subjects usually comes after such courses are...
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...
Software Abstractions: Logic, Language, and Analysis
Software Abstractions: Logic, Language, and Analysis

As a programmer working for Logica UK in London in the mid-1980’s, I became a passionate advocate of formal methods. Extrapolating from small successes with VDM and JSP, I was sure that widespread use of formal methods would bring an end to the software crisis.

One approach especially intrigued me. John Guttag and Jim
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Graph Theory: A Problem Oriented Approach (Mathematical Association of America Textbooks)
Graph Theory: A Problem Oriented Approach (Mathematical Association of America Textbooks)

Graph Theory presents a natural, reader-friendly way to learn some of the essential ideas of graph theory starting from first principles. The format is similar to the companion text, Combinatorics: A Problem Oriented Approach also by Daniel A. Marcus, in that it combines the features of a textbook with those of a problem...

Bayesian Brain: Probabilistic Approaches to Neural Coding (Computational Neuroscience)
Bayesian Brain: Probabilistic Approaches to Neural Coding (Computational Neuroscience)

A Bayesian approach can contribute to an understanding of the brain on multiple levels, by giving normative predictions about how an ideal sensory system should combine prior knowledge and observation, by providing mechanistic interpretation of the dynamic functioning of the brain circuit, and by suggesting optimal ways of deciphering...

Challenging Problems in Geometry
Challenging Problems in Geometry
Stimulating collection of unusual problems dealing with congruence and parallelism, the Pythagorean theorem, circles, area relationships, Ptolemy and the cyclic quadrilateral, collinearity and concurrency and many other topics. Arranged in order of difficulty. Detailed solutions.

The challenge of well-posed problems transcends national
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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
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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...

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