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In 2010, the French mathematician Cedric Villani received the Fields Medal, the most coveted prize in mathematics, in recognition of a proof that he devised with his close collaborator Clement Mouhot to explain one of the most surprising theories in classical physics. Birth of a Theorem is Villani's own account of the years leading up to the award. It invites readers inside the mind of a great mathematician as he wrestles with the most important work of his career.
But you don't have to understand nonlinear Landau damping to love Birth of a Theorem. It doesn't simplify or overexplain; rather, it invites readers into a collaboration. Villani's diaries, e-mails, and musings enmesh you in the process of discovery. You join him in unproductive lulls and late-night breakthroughs. You're privy to dining-hall conversations at the world's greatest research institutions.
In 2010, the French mathematician Cedric Villani received the Fields Medal, the most coveted prize in mathematics, in recognition of a proof that he devised with his close collaborator Clement Mouhot to explain one of the most surprising theories in classical physics. Birth of a Theorem is
An accessible and fascinating exploration of how Alan Turing's mathematical theory gave rise to modern computer science and applications--from the desktop to cell phones In 1936, when he was just twenty-four years old, Alan Turing wrote a remarkable paper in which he outlined the theory of
At the close of the 1980s, the independent contributions of Yann Brenier, Mike Cullen and John Mather launched a revolution in the venerable field of optimal transport founded by G. PhD students or researchers can read the entire book without any prior knowledge of the
Model theory deals with a branch of mathematical logic showing connections between a formal language and its interpretations or models. This is the first and most successful textbook in logical model theory. Extensively updated and corrected in 1990 to accommodate developments in model theoretic
This superb text introduces number theory to readers with limited formal mathematical training. Intended for use in freshman- and sophomore-level courses in arts and science curricula, in teacher-training programs, and in enrichment programs for high-school students, it is filled with simple
Origami, the art of paper folding, has a rich mathematical theory. Early investigations go back to at least the 1930s, but the twenty-first century has seen a remarkable blossoming of the mathematics of folding. Besides its use in describing origami and designing new models, it is also finding
A groundbreaking reflection on the process by which one arrives at an ethological theory How do humans study the complex worlds of animals without imposing their own societal and scientific gaze upon them? The biologist Amotz Zahavi stakes the controversial claim that Arabian babblers are said to
A classic exposition of a branch of mathematical logic that uses category theory, this text is suitable for advanced undergraduates and graduate students and accessible to both philosophically and mathematically oriented readers. Robert Goldblatt is Professor of Pure Mathematics at New Zealand's
Wigner's theorem is a fundamental part of the mathematical formulation of quantum mechanics. The theorem characterizes unitary and anti-unitary operators as symmetries of quantum mechanical systems, and is a key result when relating preserver problems to quantum mechanics. At the heart of this book
The epic story of the origin of
Explains theory through detailed mathematical analysis of simple but relevant solvable models Proposes numerous exercises to stimulate interactive learning Offers the necessary background for those embarking on advanced courses on mathematical methods in quantum
Soccer is the most mathematical of sports--riddled with numbers, patterns, and shapes. How to make sense of them? The answer lies in mathematical modeling, a science with applications in a host of biological systems. Soccermatics brings the two together in a fascinating, mind-bending synthesis
Suitable for postgraduate students and researchers in the field of astrophysics and mathematical physics, this book lays the mathematical foundation of tensor calculus. With basics of cosmology and astrophysics, it gives a background of geodesics, linearised gravity, Lie derivatives, rotating black
This concise classic by Paul R. Halmos, a well-known master of mathematical exposition, has served as a basic introduction to aspects of ergodic theory since its first publication in 1956. The book is written in the pleasant, relaxed, and clear style usually associated with the author, noted the
Shannon's major precept, that all communication is essentially digital, is commonplace among the digitalia that many wonder why Shannon needed to state such an obvious
A mystery lands - literally - at Tom Winscombe's feet, and another riotous mathematical adventure begins...Tom Winscombe and Dorothy Chan haven't managed to go on a date for some time, so it's a shame that their outing to a Promenade Concert is cut short when a mysterious cowled figure plummets
Accessible introduction to Hamiltonian dynamicsContains KAM theory Many exercises with
This new (second) edition contains a general treatment of quantum field theory (QFT) in a simple scalar field setting in addition to the modern material on the applications of differential geometry and topology, group theory, and the theory of linear operators to physics found in the first edition
A fun, non-technical and wonderfully engaging guide to that most powerful and mysterious of mathematical concepts: infinity.in this book, best-selling author and mathematician Haim Shapira presents an introduction to mathematical theories which deal with the most beautiful concept ever invented by
To celebrate the 100th anniversary of Roald Dahl's birth, this book traces his life from his childhood, to his time in Africa and as a fighter pilot and his early writing - leading to Roald becoming one of the funniest, most famous and best-loved children's authors of all time. The book also
In 1884, Edwin Abbott Abbott wrote a mathematical adventure set in a two-dimensional plane world, populated by a hierarchical society of regular geometrical figures-who think and speak and have all too human emotions. Since then Flatland has fascinated generations of readers, becoming a perennial
Quantum mechanics is an extraordinarily successful scientific theory. But it is also completely mad. Although the theory quite obviously works, it leaves us chasing ghosts and phantoms; particles that are waves and waves that are particles; cats that are at once both alive and dead; lots of
What links the birth of the moon to our body clocks? How did the creation of the Atlantic Ocean affect how we have children? What does the water inside us and on Earth have to do with the deepest stretches of space? This book deals with these
The aim of this book is to impart a sound understanding, both physical and mathematical, of the fundamental theory of vibration and its applications. The book presents in a simple and systematic manner techniques that can easily be applied to the analysis of vibration of mechanical and structural