Download or read book Dialogues Between Physics and Mathematics written by Mo-Lin Ge and published by Springer Nature. This book was released on 2022-12-10 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Philosophy Mathematics and Modern Physics written by Enno Rudolph and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Philosophy of Physics written by David Wallace and published by Oxford University Press. This book was released on 2021 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Trick or Truth written by Anthony Aguirre and published by Springer. This book was released on 2016-02-20 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Elementary Particles written by Kobzarev and published by Springer. This book was released on 2014-03-14 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Elementary Particles written by Kobzarev and published by Springer Science & Business Media. This book was released on 1989-02-28 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Philosophy Mathematics and Modern Physics written by Enno Rudolph and published by Springer. This book was released on 1994-04-28 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Dialogues Concerning Two New Sciences written by Galileo Galilei and published by . This book was released on 1914 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Dialogues written by Clifford V. Johnson and published by National Geographic Books. This book was released on 2018-10-23 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A series of conversations about science in graphic form, on subjects that range from the science of cooking to the multiverse. Physicist Clifford Johnson thinks that we should have more conversations about science. Science should be on our daily conversation menu, along with topics like politics, books, sports, or the latest prestige cable drama. Conversations about science, he tells us, shouldn't be left to the experts. In The Dialogues, Johnson invites us to eavesdrop on a series of nine conversations, in graphic-novel form—written and drawn by Johnson—about “the nature of the universe.” The conversations take place all over the world, in museums, on trains, in restaurants, in what may or may not be Freud's favorite coffeehouse. The conversationalists are men, women, children, experts, and amateur science buffs. The topics of their conversations range from the science of cooking to the multiverse and string theory. The graphic form is especially suited for physics; one drawing can show what it would take many words to explain. In the first conversation, a couple meets at a costume party; they speculate about a scientist with superhero powers who doesn't use them to fight crime but to do more science, and they discuss what it means to have a “beautiful equation” in science. Their conversation spills into another chapter (“Hold on, you haven't told me about light yet”), and in a third chapter they exchange phone numbers. Another couple meets on a train and discusses immortality, time, black holes, and religion. A brother and sister experiment with a grain of rice. Two women sit in a sunny courtyard and discuss the multiverse, quantum gravity, and the anthropic principle. After reading these conversations, we are ready to start our own.
Download or read book Dialogues Concerning Two New Sciences written by Galileo Galilei and published by Pantianos Classics. This book was released on 1914 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Mathematics for Physics written by Michael Stone and published by Cambridge University Press. This book was released on 2009-07-09 with total page 821 pages. Available in PDF, EPUB and Kindle. Book excerpt: An engagingly-written account of mathematical tools and ideas, this book provides a graduate-level introduction to the mathematics used in research in physics. The first half of the book focuses on the traditional mathematical methods of physics – differential and integral equations, Fourier series and the calculus of variations. The second half contains an introduction to more advanced subjects, including differential geometry, topology and complex variables. The authors' exposition avoids excess rigor whilst explaining subtle but important points often glossed over in more elementary texts. The topics are illustrated at every stage by carefully chosen examples, exercises and problems drawn from realistic physics settings. These make it useful both as a textbook in advanced courses and for self-study. Password-protected solutions to the exercises are available to instructors at www.cambridge.org/9780521854030.
Download or read book The Role of Mathematics in Physical Sciences written by Giovanni Boniolo and published by Springer Science & Business Media. This book was released on 2005-03-10 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Even though mathematics and physics have been related for centuries and this relation appears to be unproblematic, there are many questions still open: Is mathematics really necessary for physics, or could physics exist without mathematics? Should we think physically and then add the mathematics apt to formalise our physical intuition, or should we think mathematically and then interpret physically the obtained results? Do we get mathematical objects by abstraction from real objects, or vice versa? Why is mathematics effective into physics? These are all relevant questions, whose answers are necessary to fully understand the status of physics, particularly of contemporary physics. The aim of this book is to offer plausible answers to such questions through both historical analyses of relevant cases, and philosophical analyses of the relations between mathematics and physics.
Download or read book Lost in Math written by Sabine Hossenfelder and published by Basic Books. This book was released on 2018-06-12 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this "provocative" book (New York Times), a contrarian physicist argues that her field's modern obsession with beauty has given us wonderful math but bad science. Whether pondering black holes or predicting discoveries at CERN, physicists believe the best theories are beautiful, natural, and elegant, and this standard separates popular theories from disposable ones. This is why, Sabine Hossenfelder argues, we have not seen a major breakthrough in the foundations of physics for more than four decades. The belief in beauty has become so dogmatic that it now conflicts with scientific objectivity: observation has been unable to confirm mindboggling theories, like supersymmetry or grand unification, invented by physicists based on aesthetic criteria. Worse, these "too good to not be true" theories are actually untestable and they have left the field in a cul-de-sac. To escape, physicists must rethink their methods. Only by embracing reality as it is can science discover the truth.
Download or read book Dialogues On Modern Physics written by Myron W Evans and published by World Scientific. This book was released on 1998-04-30 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, important conceptual developments of the two major revolutions of modern physics — the quantum and relativity theories — are presented in a nonmathematical, dialectical form of dialogue. The implications of conflicting philosophical attitudes of these revolutions in physics and applications to topics such as cosmology/astrophysics and high energy physics are emphasized. It is argued that for any substantial progress in our understanding of 21st century physics, it will be necessary to resolve these 20th century conflicts. These richly rewarding dialogues provide a starting point for discussions that could lead to such progress. An epilogue is presented on the philosophical advantage of the dialogue form for increased understanding.
Download or read book Dialogues on Modern Physics written by Mendel Sachs and published by World Scientific. This book was released on 1998 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, important conceptual developments of the two major revolutions of modern physics ? the quantum and relativity theories ? are presented in a nonmathematical, dialectical form of dialogue. The implications of conflicting philosophical attitudes of these revolutions in physics and applications to topics such as cosmology/astrophysics and high energy physics are emphasized. It is argued that for any substantial progress in our understanding of 21st century physics, it will be necessary to resolve these 20th century conflicts. These richly rewarding dialogues provide a starting point for discussions that could lead to such progress. An epilogue is presented on the philosophical advantage of the dialogue form for increased understanding.
Download or read book Dialogues Concerning Two New Sciences written by Galileo Galilei and published by Createspace Independent Publishing Platform. This book was released on 2017-02-28 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dialogues Concerning Two New Sciences Galileo Galilei The Discourses and Mathematical Demonstrations Relating to Two New Sciences (Italian: Discorsi e Dimostrazioni Matematiche Intorno a Due Nuove Scienze, published in 1638 was Galileo's final book and a scientific testament covering much of his work in physics over the preceding thirty years. FOR more than a century English speaking students have been placed in the anomalous position of hearing Galileo constantly referred to as the founder of modern physical science, without having any chance to read, in their own language, what Galileo himself has to say. Archimedes has been made available by Heath; Huygens' Light has been turned into English by Thompson, while Motte has put the Principia of Newton back into the language in which it was conceived. To render the Physics of Galileo also accessible to English and American students is the purpose of the following translation. The last of the great creators of the Renaissance was not a prophet without honor in his own time; for it was only one group of his country-men that failed to appreciate him. Even during his life time, his Mechanics had been rendered into French by one of the leading physicists of the world, Mersenne. Within twenty-five years after the death of Galileo, his Dialogues on Astronomy, and those on Two New Sciences, had been done into English by Thomas Salusbury and were worthily printed in two handsome quarto volumes. The Two New Sciences, which contains practically all that Galileo has to say on the subject of physics, issued from the English press in 1665. It is supposed that most of the copies were destroyed in the great London fire which occurred in the year following. We are not aware of any copy in America: even that belonging to the British Museum is an imperfect one. Again in 1730 the Two New Sciences was done into English by Thomas Weston; but this book, now nearly two centuries old, is scarce and expensive. Moreover, the literalness with which this translation was made renders many passages either ambiguous or unintelligible to the modern reader. Other than these two, no English version has been made.
Download or read book Conversations on Mind Matter and Mathematics written by Jean-Pierre Changeux and published by Princeton University Press. This book was released on 1998-12-27 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Do numbers and the other objects of mathematics enjoy a timeless existence independent of human minds, or are they the products of cerebral invention? Do we discover them, as Plato supposed and many others have believed since, or do we construct them? Does mathematics constitute a universal language that in principle would permit human beings to communicate with extraterrestrial civilizations elsewhere in the universe, or is it merely an earthly language that owes its accidental existence to the peculiar evolution of neuronal networks in our brains? Does the physical world actually obey mathematical laws, or does it seem to conform to them simply because physicists have increasingly been able to make mathematical sense of it? Jean-Pierre Changeux, an internationally renowned neurobiologist, and Alain Connes, one of the most eminent living mathematicians, find themselves deeply divided by these questions. The problematic status of mathematical objects leads Changeux and Connes to the organization and function of the brain, the ways in which its embryonic and post-natal development influences the unfolding of mathematical reasoning and other kinds of thinking, and whether human intelligence can be simulated, modeled,--or actually reproduced-- by mechanical means. The two men go on to pose ethical questions, inquiring into the natural foundations of morality and the possibility that it may have a neural basis underlying its social manifestations. This vivid record of profound disagreement and, at the same time, sincere search for mutual understanding, follows in the tradition of Poincaré, Hadamard, and von Neumann in probing the limits of human experience and intellectual possibility. Why order should exist in the world at all, and why it should be comprehensible to human beings, is the question that lies at the heart of these remarkable dialogues.
