Maverick Mathematician

Maverick Mathematician
Author: Ann Moyal
Publisher: ANU E Press
Total Pages: 212
Release: 2006-08-01
Genre: Biography & Autobiography
ISBN: 1920942599

"J.E. Moyal has been pronounced 'one of Australia's most remarkable thinkers'. Yet, he was, essentially, a scientific maverick. Educated in a modest high school in Tel Aviv, he took himself to France to train as an engineer, statistician and mathematician and escaped to England as France fell. It was from outside academia that he entered into communication with the 'high priest' of British theoretical physics, P.A.M. Dirac, challenging him with the idea of a statistical basis of quantum mechanics. Their correspondence forms the core of this book and opens up an important and hitherto unknown chapter for physicists, mathematicians and historians of science. Moyal's classic paper, 'A statistical basis for quantum mechanics', also reproduced here in full, has come to underlie an explosion of research and to underpin an array of major technological developments."--Publisher's description.

Memoirs of a Maverick Mathematician

Memoirs of a Maverick Mathematician
Author: Zoltan Paul Dienes
Publisher: Upfront Publishing
Total Pages: 580
Release: 2003
Genre: Biography & Autobiography
ISBN: 9781844261925

Dr Zoltan Dienes is a world-famous theorist and tireless practitioner of the 'new mathematics' - an approach to mathematics learning which uses games, songs and dance to make it more appealing to children. Holder of numerous honorary degrees, Dr Dienes has had a long and fruitful career, breaking new ground and gaining many followers with his revolutionary ideas of learning often complex mathematical concepts in such fun ways that children are often unaware that they are learning anything.This is an honest account of an academic radical, covering his sometimes unconventional childhood in Hungary, France, Germany and Britain, his peripatetic academic career, his successes and failures and his personal affairs. Occasionally sad or moving, frequently amusing and always fascinating, this autobiography shares some of the intelligence, spirit and humanity that have made Dr Dienes such a landmark figure in mathematics education. A 'must-read' for anyone with a professional interest in the field, this is also an absorbing and frank book for anyone interested in the life of a man of ideas who was not afraid to take on the might of the traditionalist educational establishment.

The Fractalist

The Fractalist
Author: Benoit Mandelbrot
Publisher: Vintage
Total Pages: 362
Release: 2014-01-14
Genre: Biography & Autobiography
ISBN: 030738991X

Here is the remarkable life story of Benoit Mandelbrot, the creator of fractal geometry, and his unparalleled contributions to science mathematics, the financial world, and the arts. Mandelbrot recounts his early years in Warsaw and in Paris, where he was mentored by an eminent mathematician uncle, through his days evading the Nazis in occupied France, to his education at Caltech, Princeton, and MIT, and his illustrious career at the IBM Thomas J. Watson Research Center. An outside to mainstream scientific research, he managed to do what others had thought impossible: develop a new geometry that combines revelatory beauty with a radical way of unfolding formerly hidden scientific laws. In the process he was able to use geometry to solve fresh, real-world problems. With exuberance and an eloquent fluency, Benoit Mandelbrot recounts the high points of his fascinating life, offering us a glimpse into the evolution of his extraordinary mind. With full-color inserts and black-and-white photographs throughout.

Make: Maverick Scientist

Make: Maverick Scientist
Author: Forrest M. Mims
Publisher: Maker Media, Inc.
Total Pages: 348
Release: 2024-02-14
Genre: Biography & Autobiography
ISBN: 1680458345

Maverick Scientist is the memoir of Forrest Mims, who forged a distinguished scientific career despite having no academic training in science. Named one of the "50 Best Brains in Science" by Discover magazine, Forrest shares what sparked his childhood curiosity and relates a lifetime of improbable, dramatic, and occasionally outright dangerous experiences in the world of science. At thirteen he invented a new method of rocket control. At seventeen he designed and built an analog computer that could translate Russian into English and that the Smithsonian collected as an example of an early hobby computer. While majoring in government at Texas A&M University, Forrest created a hand-held, radar-like device to help guide the blind. And during his military service, he had to be given special clearance to do top secret laser research at the Air Force Weapons Lab. Why? Because while he lacked the required engineering degree, they wanted his outside-the-box thinking on the project. He went on to co-found MITS, Inc., producer of the first commercially successful personal computer, wrote a series of electronics books for Radio Shack that sold more than seven million copies, and designed the music synthesizer circuit that became known as the infamous Atari Punk Console. All this came before he started consulting for NASA's Goddard Space Flight Center, and NOAA's famous Mauna Loa Observatory, and earning the prestigious Rolex Award. This intimate portrait of a self-made scientist shares a revelatory look inside the scientific community, and tells the story of a lifelong learner who stood by his convictions even when pressured by the establishment to get in line with conventional wisdom. With dozens of personal photos and illustrations, Maverick Scientist serves as proof that to be a scientist, you simply need to do science.

Cultures of Mathematics and Logic

Cultures of Mathematics and Logic
Author: Shier Ju
Publisher: Birkhäuser
Total Pages: 130
Release: 2016-08-10
Genre: Mathematics
ISBN: 3319315021

This book gathers the proceedings of the conference "Cultures of Mathematics and Logic," held in Guangzhou, China. The event was the third in a series of interdisciplinary, international conferences emphasizing the cultural components of philosophy of mathematics and logic. It brought together researchers from many disciplines whose work sheds new light on the diversity of mathematical and logical cultures and practices. In this context, the cultural diversity can be diachronical (different cultures in different historical periods), geographical (different cultures in different regions), or sociological in nature.

PAUL HALMOS Celebrating 50 Years of Mathematics

PAUL HALMOS Celebrating 50 Years of Mathematics
Author: John Ewing
Publisher: Springer Science & Business Media
Total Pages: 312
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461209676

Paul Halmos will celebrate his 75th birthday on the 3rd of March 1991. This volume, from colleagues, is an expression of affection for the man and respect for his contributions as scholar, writer, and teacher. It contains articles about Paul, about the times in which he worked and the places he has been, and about mathematics. Paul has furthered his profession in many ways and this collection reflects that diversity. Articles about Paul are not biographical, but rather tell about his ideas, his philosophy, and his style. Articles about the times and places in which Paul has worked describe people, events, and ways in which Paul has influenced students and colleagues over the past 50 years. Articles about mathematics are about all kinds of mathematics, including operator theory and Paul's research in the subject. This volume represents a slice of mathematical life and it shows how many parts of mathematics Paul has touched. It is fitting that this volume has been produced with the support and cooperation of Springer-Verlag. For over 35 years, Paul has contributed to mathematics publishing as founder and editor of many outstanding series.

A Concise Treatise On Quantum Mechanics In Phase Space

A Concise Treatise On Quantum Mechanics In Phase Space
Author: Thomas L Curtright
Publisher: World Scientific Publishing Company
Total Pages: 170
Release: 2013-11-11
Genre: Science
ISBN: 9814520462

This is a text on quantum mechanics formulated simultaneously in terms of position and momentum, i.e. in phase space. It is written at an introductory level, drawing on the remarkable history of the subject for inspiration and motivation. Wigner functions — density matrices in a special Weyl representation — and star products are the cornerstones of the formalism.The resulting framework is a rich source of physical intuition. It has been used to describe transport in quantum optics, structure and dynamics in nuclear physics, chaos, and decoherence in quantum computing. It is also of importance in signal processing and the mathematics of algebraic deformation. A remarkable aspect of its internal logic, pioneered by Groenewold and Moyal, has only emerged in the last quarter-century: it furnishes a third, alternative way to formulate and understand quantum mechanics, independent of the conventional Hilbert space or path integral approaches to the subject.In this logically complete and self-standing formulation, one need not choose sides between coordinate or momentum space variables. It works in full phase space, accommodating the uncertainty principle; and it offers unique insights into the classical limit of quantum theory. The observables in this formulation are c-number functions in phase space instead of operators, with the same interpretation as their classical counterparts, only composed together in novel algebraic ways using star products.This treatise provides an introductory overview and supplementary material suitable for an advanced undergraduate or a beginning graduate course in quantum mechanics.

The Making of Mathematics

The Making of Mathematics
Author: Carlo Cellucci
Publisher: Springer Nature
Total Pages: 457
Release: 2022-03-07
Genre: Mathematics
ISBN: 3030897311

This book offers an alternative to current philosophy of mathematics: heuristic philosophy of mathematics. In accordance with the heuristic approach, the philosophy of mathematics must concern itself with the making of mathematics and in particular with mathematical discovery. In the past century, mainstream philosophy of mathematics has claimed that the philosophy of mathematics cannot concern itself with the making of mathematics but only with finished mathematics, namely mathematics as presented in published works. On this basis, mainstream philosophy of mathematics has maintained that mathematics is theorem proving by the axiomatic method. This view has turned out to be untenable because of Gödel’s incompleteness theorems, which have shown that the view that mathematics is theorem proving by the axiomatic method does not account for a large number of basic features of mathematics. By using the heuristic approach, this book argues that mathematics is not theorem proving by the axiomatic method, but is rather problem solving by the analytic method. The author argues that this view can account for the main items of the mathematical process, those being: mathematical objects, demonstrations, definitions, diagrams, notations, explanations, applicability, beauty, and the role of mathematical knowledge.

The Art of Modeling Dynamic Systems

The Art of Modeling Dynamic Systems
Author: Foster Morrison
Publisher: Courier Corporation
Total Pages: 418
Release: 2012-03-07
Genre: Mathematics
ISBN: 0486131718

This text illustrates the roles of statistical methods, coordinate transformations, and mathematical analysis in mapping complex, unpredictable dynamical systems. It describes the benefits and limitations of the available modeling tools, showing engineers and scientists how any system can be rendered simpler and more predictable. Written by a well-known authority in the field, this volume employs practical examples and analogies to make models more meaningful. The more universal methods appear in considerable detail, and advanced dynamic principles feature easy-to-understand examples. The text draws careful distinctions between mathematical abstractions and observable realities. Additional topics include the role of pure mathematics, the limitations of numerical methods, forecasting in the presence of chaos and randomness, and dynamics without calculus. Specialized techniques and case histories are coordinated with a carefully selected and annotated bibliography. The original edition was a Library of Science Main Selection in May, 1991. This new Dover edition features corrections by the author and a new Preface.

Humanizing Mathematics and its Philosophy

Humanizing Mathematics and its Philosophy
Author: Bharath Sriraman
Publisher: Birkhäuser
Total Pages: 357
Release: 2017-11-07
Genre: Mathematics
ISBN: 331961231X

This Festschrift contains numerous colorful and eclectic essays from well-known mathematicians, philosophers, logicians, and linguists celebrating the 90th birthday of Reuben Hersh. The essays offer, in part, attempts to answer the following questions set forth by Reuben himself as a focus for this volume: Can practicing mathematicians, as such, contribute anything to the philosophy of math? Can or should philosophers of math, as such, say anything to practicing mathematicians? Twenty or fifty years from now, what will be similar, and what will, or could, or should be altogether different: About the philosophy of math? About math education? About math research institutions? About data processing and scientific computing? The essays also offer glimpses into Reuben’s fertile mind and his lasting influence on the mathematical community, as well as revealing the diverse roots, obstacles and philosophical dispositions that characterize the working lives of mathematicians. With contributions from a veritable “who’s who” list of 20th century luminaries from mathematics and philosophy, as well as from Reuben himself, this volume will appeal to a wide variety of readers from curious undergraduates to prominent mathematicians.