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Random Walks and Electric Networks
Probability theory, like much of mathematics, is indebted to physics as a source of problems and intuition for solving these problems. Unfortunately, the level of abstraction of current mathematics often makes it difficult for anyone but an expert to appreciate this fact. Random Walks and electric networks looks at the interplay of physics and mathematics in terms of an example—the relation between elementary electric network theory and random walks —where the mathematics involved is at the college level.
The British Soldier of the First World War
The First World War affected the lives of a whole generation of people in Britain and the Commonwealth. Most people living today will have an ancestor who fought or died in the conflict, and as the 90th anniversary of the conclusion of the war approaches, there has been a rush of people trying to trace their ancestors and understand what life for them was like during World War I. While the familiar images - the photographs, film, poetry and prose of the First World War focus on the hellish trenches, mud and death, there is another dimension to the soldiers life in the war - that of everyday life at the front. The Tommy was only in the trenches for at most one-quarter of his time overseas, and when away from the front, vigorous routine, training and order soon took over. Peter Doyle addresses this, describing the lives of British soldiers while not in the trenches at the front, exploring the life of the average soldier of the First World War and answering the question: what was it really like to be a soldier in the trenches on the frontline.
A Tour Through Mathematical Logic
A Tour Through Mathematical Logic provides a tour through the main branches of the foundations of mathematics. It contains chapters covering elementary logic, basic set theory, recursion theory, Gödel's (and others') incompleteness theorems, model theory, independence results in set theory, nonstandard analysis, and constructive mathematics. In addition, this monograph discusses several topics not normally found in books of this type, such as fuzzy logic, nonmonotonic logic, and complexity theory.
Field Theory and Its Classical Problems
An introduction to the classical notions behind modern Galois theory.
Algebra and Tiling
A concise investigation into the connections between tiling space problems and algebraic ideas, suitable for undergraduates.
Hot Molecules, Cold Electrons
An entertaining mathematical exploration of the heat equation and its role in the triumphant development of the trans-Atlantic telegraph cable Heat, like gravity, shapes nearly every aspect of our world and universe, from how milk dissolves in coffee to how molten planets cool. The heat equation, a cornerstone of modern physics, demystifies such processes, painting a mathematical picture of the way heat diffuses through matter. Presenting the mathematics and history behind the heat equation, Hot Molecules, Cold Electrons tells the remarkable story of how this foundational idea brought about one of the greatest technological advancements of the modern era. Paul Nahin vividly recounts the heat...
Exercises in (Mathematical) Style
What does style mean in mathematics? Style is both how one does something and how one communicates what was done. In this book, the author investigates the worlds of the well-known numbers, the binomial coefficients. He follows the example of Raymond Queneau's Exercises in Style.
The British Tariff for 1862-63
Reprint of the original, first published in 1862.
