Adventures in Mathematical Physics

Author: Franois Germinet
Publisher: American Mathematical Soc.
ISBN: 0821857762
Release Date: 2007-11-26
Genre: Science

This volume consists of refereed research articles written by some of the speakers at this international conference in honor of the sixty-fifth birthday of Jean-Michel Combes. The topics span modern mathematical physics with contributions on state-of-the-art results in the theory of random operators, including localization for random Schrodinger operators with general probability measures, random magnetic Schrodinger operators, and interacting multiparticle operators with random potentials; transport properties of Schrodinger operators and classical Hamiltonian systems; equilibrium and nonequilibrium properties of open quantum systems; semiclassical methods for multiparticle systems and long-time evolution of wave packets; modeling of nanostructures; properties of eigenfunctions for first-order systems and solutions to the Ginzburg-Landau system; effective Hamiltonians for quantum resonances; quantum graphs, including scattering theory and trace formulas; random matrix theory; and quantum information theory. Graduate students and researchers will benefit from the accessibility of these articles and their current bibliographies.

Adventures in Mathematical Physics

Author: François Germinet
Publisher: American Mathematical Soc.
ISBN: 9780821842416
Release Date: 2007
Genre: Science

This volume consists of refereed research articles written by some of the speakers at this international conference in honor of the sixty-fifth birthday of Jean-Michel Combes. The topics span modern mathematical physics with contributions on state-of-the-art results in the theory of random operators, including localization for random Schrodinger operators with general probability measures, random magnetic Schrodinger operators, and interacting multiparticle operators with random potentials; transport properties of Schrodinger operators and classical Hamiltonian systems; equilibrium and nonequilibrium properties of open quantum systems; semiclassical methods for multiparticle systems and long-time evolution of wave packets; modeling of nanostructures; properties of eigenfunctions for first-order systems and solutions to the Ginzburg-Landau system; effective Hamiltonians for quantum resonances; quantum graphs, including scattering theory and trace formulas; random matrix theory; and quantum information theory. Graduate students and researchers will benefit from the accessibility of these articles and their current bibliographies.

Adventures in Theoretical Physics

Author: Stephen L. Adler
Publisher: World Scientific
ISBN: 9789812563705
Release Date: 2006-01
Genre: Science

During the period 1964-1972, Stephen L. Adler wrote seminal papers on high energy neutrino processes, current algebras, soft pion theorems, sum rules, and perturbation theory anomalies that helped lay the foundations for our current standard model of elementary particle physics. These papers are reprinted here together with detailed historical commentaries describing how they evolved, their relation to other work in the field, and their connection to recent literature. Later important work by Dr. Adler on a wide range of topics in fundamental theory, phenomenology, and numerical methods, and their related historical background, is also covered in the commentaries and reprints. This book will be a valuable resource for graduate students and researchers in the fields in which Dr. Adler has worked, and for historians of science studying physics in the final third of the twentieth century, a period in which an enduring synthesis was achieved.

Alex s Adventures in Numberland

Author: Alex Bellos
Publisher: A&C Black
ISBN: 9781408809594
Release Date: 2011-04-04
Genre: Mathematics

A hugely enjoyable, brilliantly researched explanation of the basic principles of maths.

Adventures in Mathematical Reasoning

Author: Sherman Stein
Publisher: Courier Dover Publications
ISBN: 9780486806440
Release Date: 2016-09-21
Genre: Mathematics

Eight fascinating examples show how understanding of certain topics in advanced mathematics requires nothing more than arithmetic and common sense. Covers mathematical applications behind cell phones, computers, cell growth, and other areas.

Adventures of a Mathematician

Author: S. M. Ulam
Publisher: Univ of California Press
ISBN: 0520910559
Release Date: 1991-06-23
Genre: Mathematics

The autobiography of mathematician Stanislaw Ulam, one of the great scientific minds of the twentieth century, tells a story rich with amazingly prophetic speculations and peppered with lively anecdotes. As a member of the Los Alamos National Laboratory from 1944 on, Ulam helped to precipitate some of the most dramatic changes of the postwar world. He was among the first to use and advocate computers for scientific research, originated ideas for the nuclear propulsion of space vehicles, and made fundamental contributions to many of today's most challenging mathematical projects. With his wide-ranging interests, Ulam never emphasized the importance of his contributions to the research that resulted in the hydrogen bomb. Now Daniel Hirsch and William Mathews reveal the true story of Ulam's pivotal role in the making of the "Super," in their historical introduction to this behind-the-scenes look at the minds and ideas that ushered in the nuclear age. An epilogue by Fran oise Ulam and Jan Mycielski sheds new light on Ulam's character and mathematical originality.

Soccermatics

Author: David Sumpter
Publisher: Bloomsbury Publishing
ISBN: 9781472924155
Release Date: 2016-05-05
Genre: Mathematics

'Football looked at in a very different way' Pat Nevin, former Chelsea and Everton star and football media analyst Football – the most mathematical of sports. From shot statistics and league tables to the geometry of passing and managerial strategy, the modern game is filled with numbers, patterns and shapes. How do we make sense of them? The answer lies in the mathematical models applied in biology, physics and economics. Soccermatics brings football and mathematics together in a mind-bending synthesis, using numbers to help reveal the inner workings of the beautiful game. This new and expanded edition analyses the current big-name players and teams using mathematics, and meets the professionals working inside football who use numbers and statistics to boost performance. Welcome to the world of mathematical modelling, expressed brilliantly by David Sumpter through the prism of football. No matter who you follow – from your local non-league side to the big boys of the Premiership, La Liga, the Bundesliga, Serie A or the MLS – you'll be amazed at what mathematics has to teach us about the world's favourite sport.

Volterra Adventures

Author: Joel H. Shapiro
Publisher: American Mathematical Soc.
ISBN: 9781470441166
Release Date: 2018-06-14
Genre: Convolutions (Mathematics)

This book introduces functional analysis to undergraduate mathematics students who possess a basic background in analysis and linear algebra. By studying how the Volterra operator acts on vector spaces of continuous functions, its readers will sharpen their skills, reinterpret what they already know, and learn fundamental Banach-space techniques—all in the pursuit of two celebrated results: the Titchmarsh Convolution Theorem and the Volterra Invariant Subspace Theorem. Exercises throughout the text enhance the material and facilitate interactive study.

Adventures in Mathematical Reasoning

Author: Sherman Stein
Publisher: Courier Dover Publications
ISBN: 9780486814117
Release Date: 2016-07-19
Genre: Mathematics

Eight fascinating examples show how understanding of certain topics in advanced mathematics requires nothing more than arithmetic and common sense. Covers mathematical applications behind cell phones, computers, cell growth, and other areas.

Everywhere and Everywhen

Author: Nick Huggett
Publisher: Oxford University Press
ISBN: 9780195379518
Release Date: 2010
Genre: Philosophy

This book, written for the general reader, explores the fundamental issues concerning the nature of time and space, and quantum mechanics. It shows how physics and philosophy work together to answer some of the deepest questions ever asked about the world.

Who is Fourier

Author: Transnational College of LEX.
Publisher:
ISBN: UOM:39076002285166
Release Date: 1995
Genre: Biography & Autobiography


The Calculus Story

Author: David Acheson
Publisher: Oxford University Press
ISBN: 9780192526717
Release Date: 2017-11-03
Genre: Mathematics

Calculus is the key to much of modern science and engineering. It is the mathematical method for the analysis of things that change, and since in the natural world we are surrounded by change, the development of calculus was a huge breakthrough in the history of mathematics. But it is also something of a mathematical adventure, largely because of the way infinity enters at virtually every twist and turn... In The Calculus Story David Acheson presents a wide-ranging picture of calculus and its applications, from ancient Greece right up to the present day. Drawing on their original writings, he introduces the people who helped to build our understanding of calculus. With a step by step treatment, he demonstrates how to start doing calculus, from the very beginning.