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Dialogues Between Physics and Mathematics

Author: Mo-Lin Ge

Publisher: Springer Nature

Published: 2022-12-10

Total Pages: 324

ISBN-13: 3031175239

This volume celebrates the 100th birthday of Professor Chen-Ning Frank Yang (Nobel 1957), one of the giants of modern science and a living legend. Starting with reminiscences of Yang's time at the research centre for theoretical physics at Stonybrook (now named C. N. Yang Institute) by his successor Peter van Nieuwenhuizen, the book is a collection of articles by world-renowned mathematicians and theoretical physicists. This emphasizes the Dialogue Between Physics and Mathematics that has been a central theme of Professor Yang’s contributions to contemporary science. Fittingly, the contributions to this volume range from experimental physics to pure mathematics, via mathematical physics. On the physics side, the contributions are from Sir Anthony Leggett (Nobel 2003), Jian-Wei Pan (Willis E. Lamb Award 2018), Alexander Polyakov (Breakthrough Prize 2013), Gerard 't Hooft (Nobel 1999), Frank Wilczek (Nobel 2004), Qikun Xue (Fritz London Prize 2020), and Zhongxian Zhao (Bernd T. Matthias Prize 2015), covering an array of topics from superconductivity to the foundations of quantum mechanics. In mathematical physics there are contributions by Sir Roger Penrose (Nobel 2022) and Edward Witten (Fields Medal 1990) on quantum twistors and quantum field theory, respectively. On the mathematics side, the contributions by Vladimir Drinfeld (Fields Medal 1990), Louis Kauffman (Wiener Gold Medal 2014), and Yuri Manin (Cantor Medal 2002) offer novel ideas from knot theory to arithmetic geometry. Inspired by the original ideas of C. N. Yang, this unique collection of papers b masters of physics and mathematics provides, at the highest level, contemporary research directions for graduate students and experts alike.

Philosophy, Mathematics and Modern Physics

Author: Enno Rudolph

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 249

ISBN-13: 3642788084

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In recent times a new dialogue has begun between the natural sciences and the humanities. This is particularly true of physics and philosophy, whose sphere of mutual interest expanded significantly with the advent of quantum mechanics. Among other topics, the discussion covers the evolution of theories, the role of mathematics in the physical sciences, the perception and cognition of nature and definitions of space and time. In contrast to the custom of the last two centuries, mathematics - the language of physics - is once again finding a respected place in the discourse of philosophers. The interdisciplinary communication between philosophers, mathematicians and physicists will be given new impetus by the thoughtful and wide-ranging contributions to this book.

Trick or Truth?

Author: Anthony Aguirre

Publisher: Springer

Published: 2016-02-20

Total Pages: 250

ISBN-13: 3319274953

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The prize-winning essays in this book address the fascinating but sometimes uncomfortable relationship between physics and mathematics. Is mathematics merely another natural science? Or is it the result of human creativity? Does physics simply wear mathematics like a costume, or is math the lifeblood of physical reality? The nineteen wide-ranging, highly imaginative and often entertaining essays are enhanced versions of the prize-winning entries to the FQXi essay competition “Trick or Truth”, which attracted over 200 submissions. The Foundational Questions Institute, FQXi, catalyzes, supports, and disseminates research on questions at the foundations of physics and cosmology, particularly new frontiers and innovative ideas integral to a deep understanding of reality, but unlikely to be supported by conventional funding sources.

Elementary Particles

Author: Kobzarev

Publisher: Springer

Published: 2014-03-14

Total Pages: 214

ISBN-13: 9789400922723

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This book has come into being as a result of scientific debates. And these debates have determined its structure. The first chapter is in the form of Socratic dialogues between a mathematician (MATH.), two physicists (pHYS. and EXP.) and a philosopher (PHIL.). However, although one of the authors is a theoretical physicist and the other a mathematician, the reader must not think that their opinions have been divided among the participants of the dialogues. We have tried to convey the inner tension of the topic under discussion and its openness. The attitudes of the participants reflect more the possible evaluations of the situation rather than the actual views of the authors. What is more, the subject "elementary particles" as dealt with in the 3 6 dialogue stretches over (2-3) 10 years of historical time and a space of 10 ±1 pages of scientific literature. For this reason, a complete survey of it is un achievable. But, of course, every researcher constructs his own history of his science and sees a certain list of its main pOints. We have attempted to float several possible pictures of this kind. Therefore the fact that Math and Phys talk about the history of element ary particles is not an attempt to present the scientific history of this realm of physics.

Dialogues on Mathematics

Author: Alfred Renyi

Publisher:

Published: 2019-06-14

Total Pages: 110

ISBN-13: 9784871871532

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This book discusses in dialogue form the basic principles of mathematics and its applications including the question: What is mathematics? What does its specific method consist of? What is its relation to the sciences and humanities? What can it offer to specialists in different fields? How can it be applied in practice and in discovering the laws of nature? Dramatized by the dialogue form and shown in the historical movements in which they originated, these questions are discussed in their full complexity, yet are easily comprehended. The first dialogue, whose chief actor is Socrates, leads the reader to the source of modern mathematics in Athens in the 5th Century BC. The second dialogue, featuring Archimedes, takes place during the siege of Syracuse in 212 BC and shows the birth of applied mathematics. The third dialogue occurs in the year 1633 in Rome, its chief character being Galileo Galilei who fully realized the central importance of the mathematical method in discovering the laws of nature. Intended as supplemental reading for philosophy of mathematics courses at the high school or college level it will be of interest to both specialists and non-specialists in mathematics. Alfréd Rényi was born in Budapest Hungary in 1921. He studied mathematics and physics at the University of Budapest and received his Ph. D. from the University of Szaged in 1945. Since 1950 he has been Director of the Mathematical Research Institute of the Hungarian Academy of Sciences and since 1952 a professor at the University of Budapest. Dr. Renyi was a visiting professor at Michigan State University in 1961, at the University of Michigan in 1964 and at Stanford University in 1966. His main fields of research are probability theory, mathematical statistics and information theory, and he has also worked in analytic number theory as well as in various branches of analysis, combinatorial analysis and geometry.

Philosophy of Physics

Author: David Wallace

Publisher: Oxford University Press

Published: 2021

Total Pages: 169

ISBN-13: 0198814321

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Philosophy of physics is concerned with the deepest theories of modern physics - quantum theory, our theories of space, time and symmetry, and thermal physics - and their strange, even bizarre conceptual implications. This book explores the core topics in philosophy of physics, and discusses their relevance for both scientists and philosophers.

Elementary Particles

Author: Kobzarev

Publisher: Springer Science & Business Media

Published: 1989-02-28

Total Pages: 230

ISBN-13: 9780792300984

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Dialogues Concerning Two New Sciences

Author: Galileo Galilei

Publisher:

Published: 1914

Total Pages: 378

ISBN-13:

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As enjoyable as it is important, this classic encompasses 30 years of highly original experiments and theories. Its lively expositions discuss dynamics, elasticity, sound, strength of materials, and more. 126 diagrams.

Philosophy, Mathematics and Modern Physics

Author: Enno Rudolph

Publisher: Springer

Published: 1994-04-28

Total Pages: 244

ISBN-13: 9783540576839

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Dialogues Concerning Two New Sciences

Author: Galileo Galilei

Publisher: Pantianos Classics

Published: 1914

Total Pages: 344

ISBN-13:

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Galileo's groundbreaking dialogues are a summation of three decades of scientific work he had undertaken in the fledgling field of physics. This edition includes the diagrams crucial for understanding the text. Writing these dialogues in 1638, the elderly Galileo had a life of achievements behind him. Despite attempts at suppression of his writings by the Roman Inquisition, his ideas were successfully communicated across Europe. The motion of objects and resistance to such motion, the concept of velocity, and the laws of gravity are merely a few of the topics covered in these detailed dialogues. At the outset, we are introduced to the three conversation partners: Salviati, Sagredo and Simplicio. These three Venetians embark on a scientific discussion, hoping to explain the curiosities of things such as speed and movement. Over the course of four days, their meetings grow in complexity and scope as they strive to explain physical phenomena. Later, we encounter many propositions and theorems concerning a wide variety of subjects; these represent the sum of Galileo's progress in understanding gravity, motion, resistance, acceleration, velocity, and the behavior of material structures. The 'Two New Sciences' referred to by the title are the nature of materials, and the motion of objects. A total of 130 illustrations and charts populate this text; for the most part, they are situated adjacent to their respective proposition or theorem. In many of the more complex explanations, they are important in aiding the reader to grasp what Galileo means. Through absorbing these wide-ranging investigations, we may appreciate the justness of Galileo's moniker: "The father of modern physics." This edition's translation to English is by Alfonso de Salvio and Henry Crew. The former was an expert on the technical aspects of the Italian language, while the latter was a longstanding scholar of physics with much experience teaching in the field.