David Hilbert And The Axiomatization Of Physics 1898 1918

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David Hilbert and the Axiomatization of Physics (1898–1918)

L. Corry

Author : L. Corry
Publisher : Springer Science & Business Media
Page : 513 pages
File Size : 48,6 Mb
Release : 2013-06-29
Category : Science
ISBN : 9781402027789

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David Hilbert and the Axiomatization of Physics (1898–1918) by L. Corry Pdf

David Hilbert (1862-1943) was the most influential mathematician of the early twentieth century and, together with Henri Poincaré, the last mathematical universalist. His main known areas of research and influence were in pure mathematics (algebra, number theory, geometry, integral equations and analysis, logic and foundations), but he was also known to have some interest in physical topics. The latter, however, was traditionally conceived as comprising only sporadic incursions into a scientific domain which was essentially foreign to his mainstream of activity and in which he only made scattered, if important, contributions. Based on an extensive use of mainly unpublished archival sources, the present book presents a totally fresh and comprehensive picture of Hilbert’s intense, original, well-informed, and highly influential involvement with physics, that spanned his entire career and that constituted a truly main focus of interest in his scientific horizon. His program for axiomatizing physical theories provides the connecting link with his research in more purely mathematical fields, especially geometry, and a unifying point of view from which to understand his physical activities in general. In particular, the now famous dialogue and interaction between Hilbert and Einstein, leading to the formulation in 1915 of the generally covariant field-equations of gravitation, is adequately explored here within the natural context of Hilbert’s overall scientific world-view. This book will be of interest to historians of physics and of mathematics, to historically-minded physicists and mathematicians, and to philosophers of science.

David Hilbert's Lectures on the Foundations of Physics 1915-1927

Tilman Sauer,Ulrich Majer

Author : Tilman Sauer,Ulrich Majer
Publisher : Springer Science & Business Media
Page : 690 pages
File Size : 49,8 Mb
Release : 2009-08-06
Category : Mathematics
ISBN : 9783540682424

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David Hilbert's Lectures on the Foundations of Physics 1915-1927 by Tilman Sauer,Ulrich Majer Pdf

These documents do nothing less than bear witness to one of the most dramatic changes in the foundations of science. The book has three sections that cover general relativity, epistemological issues, and quantum mechanics. This fascinating work will be a vital text for historians and philosophers of physics, as well as researchers in related physical theories.

The Genesis of General Relativity

Jürgen Renn

Author : Jürgen Renn
Publisher : Springer Science & Business Media
Page : 2072 pages
File Size : 48,7 Mb
Release : 2007-02-16
Category : Science
ISBN : 9781402039997

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The Genesis of General Relativity by Jürgen Renn Pdf

This four-volume work represents the most comprehensive documentation and study of the creation of general relativity. Einstein’s 1912 Zurich notebook is published for the first time in facsimile and transcript and commented on by today’s major historians of science. Additional sources from Einstein and others, who from the late 19th to the early 20th century contributed to this monumental development, are presented here in translation for the first time. The volumes offer detailed commentaries and analyses of these sources that are based on a close reading of these documents supplemented by interpretations by the leading historians of relativity.

Foundations of Mathematics and Physics One Century After Hilbert

Joseph Kouneiher

Author : Joseph Kouneiher
Publisher : Springer
Page : 441 pages
File Size : 53,9 Mb
Release : 2018-05-26
Category : Science
ISBN : 9783319648132

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Foundations of Mathematics and Physics One Century After Hilbert by Joseph Kouneiher Pdf

This book explores the rich and deep interplay between mathematics and physics one century after David Hilbert’s works from 1891 to 1933, published by Springer in six volumes. The most prominent scientists in various domains of these disciplines contribute to this volume providing insight to their works, and analyzing the impact of the breakthrough and the perspectives of their own contributions. The result is a broad journey through the most recent developments in mathematical physics, such as string theory, quantum gravity, noncommutative geometry, twistor theory, Gauge and Quantum fields theories, just to mention a few. The reader, accompanied on this journey by some of the fathers of these theories, explores some far reaching interfaces where mathematics and theoretical physics interact profoundly and gets a broad and deep understanding of subjects which are at the core of recent developments in mathematical physics. The journey is not confined to the present state of the art, but sheds light on future developments of the field, highlighting a list of open problems. Graduate students and researchers working in physics, mathematics and mathematical physics will find this journey extremely fascinating. All those who want to benefit from a comprehensive description of all the latest advances in mathematics and mathematical physics, will find this book very useful too.

Establishing Quantum Physics in Göttingen

Arne Schirrmacher

Establishing Quantum Physics in G ttingen Book PDF

Author : Arne Schirrmacher
Publisher : Springer
Page : 120 pages
File Size : 47,6 Mb
Release : 2019-08-01
Category : Science
ISBN : 9783030227272

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Establishing Quantum Physics in Göttingen by Arne Schirrmacher Pdf

Quantum mechanics – the grandiose theory that describes nature down to the submicroscopic level – was first formulated in Göttingen in 1925. How did this come about and why is it that Göttingen became the pre-eminent location for a revolution in physics? This book is the first to investigate the wide range of factors that were pivotal for quantum physics to be established in Göttingen. These include the process of generational change of physics professors, the hopes of mathematicians seeking new fields of research, and a new understanding of the interplay of experiment, theory and philosophy.

Phenomenological Approaches to Physics

Harald A. Wiltsche,Philipp Berghofer

Author : Harald A. Wiltsche,Philipp Berghofer
Publisher : Springer Nature
Page : 263 pages
File Size : 52,8 Mb
Release : 2020-06-23
Category : Science
ISBN : 9783030469733

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Phenomenological Approaches to Physics by Harald A. Wiltsche,Philipp Berghofer Pdf

This book offers fresh perspective on the role of phenomenology in the philosophy of physics which opens new avenues for discussion among physicists, "standard" philosophers of physics and philosophers with phenomenological leanings. Much has been written on the interrelations between philosophy and physics in the late 19th and early 20th century, and on the emergence of philosophy of science as an autonomous philosophical sub-discipline. This book is about the under-explored role of phenomenology in the development and the philosophical interpretation of 20th century physics. Part 1 examines questions about the origins and value of phenomenological approaches to physics. Does the work of classical phenomenologists such as Husserl, Merleau-Ponty or Heidegger contain elements of systematic value to both the practice and our philosophical understanding of physics? How did classical phenomenology influence “standard” philosophy of science in the Anglo-American and other traditions? Part 2 probes questions on the role of phenomenology in the philosophies of physics and science: - Can phenomenology help to solve “Wigner’s puzzle”, the problem of the "unreasonable effectiveness" of mathematics in describing, explaining and predicting empirical phenomena? - Does phenomenology allow better understanding of the principle of gauge invariance at the core of the standard model of contemporary particle physics? - Does the phenomenological notion of “Lifeworld” stand in opposition to the “scientific metaphysics” movement, or is there potential for dialogue? Part 3 examines the measurement problem. Is the solution outlined by Fritz London and Edmond Bauer merely a re-statement of von Neumann’s view, or should it be regarded as a distinctively phenomenological take on the measurement problem? Is phenomenology a serious contender in continuing discussions of foundational questions of quantum mechanics? Can other interpretational frameworks such as quantum Bayesianism benefit from implementing phenomenological notions such as constitution or horizonal intentionality?

Einstein and the Changing Worldviews of Physics

Christoph Lehner,Jürgen Renn,Matthias Schemmel

Author : Christoph Lehner,Jürgen Renn,Matthias Schemmel
Publisher : Springer Science & Business Media
Page : 363 pages
File Size : 44,6 Mb
Release : 2012-02-02
Category : Mathematics
ISBN : 9780817649401

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Einstein and the Changing Worldviews of Physics by Christoph Lehner,Jürgen Renn,Matthias Schemmel Pdf

This volume reviews conceptual conflicts at the foundations of physics now and in the past century. The focus is on the conditions and consequences of Einstein’s pathbreaking achievements that sealed the decline of the classical notions of space, time, radiation, and matter, and resulted in the theory of relativity. Particular attention is paid to the implications of conceptual conflicts for scientific views of the world at large, thus providing the basis for a comparison of the demise of the mechanical worldview at the turn of the 20th century with the challenges presented by cosmology at the turn of the 21st century. Throughout the work, Einstein’s contributions are not seen in isolation but instead set into the wider intellectual context of dealing with the problem of gravitation in the twilight of classical physics; the investigation of the historical development is carried out with a number of epistemological questions in mind, concerning, in particular, the transformation process of knowledge associated with the changing worldviews of physics.

Philosophy of Physics

Jeremy Butterfield,John Earman

Author : Jeremy Butterfield,John Earman
Publisher : Elsevier
Page : 1481 pages
File Size : 46,6 Mb
Release : 2007
Category : Computers
ISBN : 9780444515605

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Philosophy of Physics by Jeremy Butterfield,John Earman Pdf

The ambition of this volume is twofold: to provide a comprehensive overview of the field and to serve as an indispensable reference work for anyone who wants to work in it. For example, any philosopher who hopes to make a contribution to the topic of the classical-quantum correspondence will have to begin by consulting Klaas Landsman's chapter. The organization of this volume, as well as the choice of topics, is based on the conviction that the important problems in the philosophy of physics arise from studying the foundations of the fundamental theories of physics. It follows that there is no sharp line to be drawn between philosophy of physics and physics itself. Some of the best work in the philosophy of physics is being done by physicists, as witnessed by the fact that several of the contributors to the volume are theoretical physicists: viz., Ellis, Emch, Harvey, Landsman, Rovelli, 't Hooft, the last of whom is a Nobel laureate. Key features - Definitive discussions of the philosophical implications of modern physics - Masterly expositions of the fundamental theories of modern physics - Covers all three main pillars of modern physics: relativity theory, quantum theory, and thermal physics - Covers the new sciences grown from these theories: for example, cosmology from relativity theory; and quantum information and quantum computing, from quantum theory - Contains special Chapters that address crucial topics that arise in several different theories, such as symmetry and determinism - Written by very distinguished theoretical physicists, including a Nobel Laureate, as well as by philosophers - Definitive discussions of the philosophical implications of modern physics - Masterly expositions of the fundamental theories of modern physics - Covers all three main pillars of modern physics: relativity theory, quantum theory, and thermal physics - Covers the new sciences that have grown from these theories: for example, cosmology from relativity theory; and quantum information and quantum computing, from quantum theory - Contains special Chapters that address crucial topics that arise in several different theories, such as symmetry and determinism - Written by very distinguished theoretical physicists, including a Nobel Laureate, as well as by philosophers

The Oxford Handbook of the History of Quantum Interpretations

Guido Bacciagaluppi,Olivier Darrigol,Olival Freire Jr

Author : Guido Bacciagaluppi,Olivier Darrigol,Olival Freire Jr
Publisher : Oxford University Press
Page : 1311 pages
File Size : 51,8 Mb
Release : 2022
Category : Science
ISBN : 9780198844495

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The Oxford Handbook of the History of Quantum Interpretations by Guido Bacciagaluppi,Olivier Darrigol,Olival Freire Jr Pdf

Crucial to most research in physics, as well as leading to the development of inventions such as the transistor and the laser, quantum mechanics approaches its centenary with an impressive record. However, the field has also long been the subject of ongoing debates about the foundations and interpretation of the theory, referred to as the quantum controversy. This Oxford Handbook offers a historical overview of the contrasts which have been at the heart of quantum physics for the last 100 years. Drawing on the wide-ranging expertise of several contributors working across physics, history, and philosophy, the handbook outlines the main theories and interpretations of quantum physics. It goes on to tackle the key controversies surrounding the field, touching on issues such as determinism, realism, locality, classicality, information, measurements, mathematical foundations, and the links between quantum theory and gravity. This engaging introduction is an essential guide for all those interested in the history of scientific controversies and history of quantum physics. It also provides a fascinating examination of the potential of quantum physics to influence new discoveries and advances in fields such quantum information and computing.

A Richer Picture of Mathematics

David E. Rowe

Author : David E. Rowe
Publisher : Springer
Page : 461 pages
File Size : 50,5 Mb
Release : 2018-02-13
Category : Mathematics
ISBN : 9783319678191

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A Richer Picture of Mathematics by David E. Rowe Pdf

Historian David E. Rowe captures the rich tapestry of mathematical creativity in this collection of essays from the “Years Ago” column of The Mathematical Intelligencer. With topics ranging from ancient Greek mathematics to modern relativistic cosmology, this collection conveys the impetus and spirit of Rowe’s various and many-faceted contributions to the history of mathematics. Centered on the Göttingen mathematical tradition, these stories illuminate important facets of mathematical activity often overlooked in other accounts. Six sections place the essays in chronological and thematic order, beginning with new introductions that contextualize each section. The essays that follow recount episodes relating to the section’s overall theme. All of the essays in this collection, with the exception of two, appeared over the course of more than 30 years in The Mathematical Intelligencer. Based largely on archival and primary sources, these vignettes offer unusual insights into behind-the-scenes events. Taken together, they aim to show how Göttingen managed to attract an extraordinary array of talented individuals, several of whom contributed to the development of a new mathematical culture during the first decades of the twentieth century.

Foundations of General Relativity

Klaas Landsman

Author : Klaas Landsman
Publisher : Radboud University Press
Page : 394 pages
File Size : 52,8 Mb
Release : 2021-10-08
Category : Science
ISBN : 9789083178929

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Foundations of General Relativity by Klaas Landsman Pdf

This book, dedicated to Roger Penrose, is a second, mathematically oriented course in general relativity. It contains extensive references and occasional excursions in the history and philosophy of gravity, including a relatively lengthy historical introduction. The book is intended for all students of general relativity of any age and orientation who have a background including at least first courses in special and general relativity, differential geometry, and topology. The material is developed in such a way that through the last two chapters the reader may acquire a taste of the modern mathematical study of black holes initiated by Penrose, Hawking, and others, as further influenced by the initial-value or PDE approach to general relativity. Successful readers might be able to begin reading research papers on black holes, especially in mathematical physics and in the philosophy of physics. The chapters are: Historical introduction, General differential geometry, Metric differential geometry, Curvature, Geodesics and causal structure, The singularity theorems of Hawking and Penrose, The Einstein equations, The 3+1 split of space-time, Black holes I: Exact solutions, and Black holes II: General theory. These are followed by two appendices containing background on Lie groups, Lie algebras, & constant curvature, and on Formal PDE theory.

Introduction to the Physics of Electron Emission

Kevin L. Jensen

Author : Kevin L. Jensen
Publisher : John Wiley & Sons
Page : 712 pages
File Size : 47,7 Mb
Release : 2017-09-27
Category : Science
ISBN : 9781119051763

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Introduction to the Physics of Electron Emission by Kevin L. Jensen Pdf

A practical, in-depth description of the physics behind electron emission physics and its usage in science and technology Electron emission is both a fundamental phenomenon and an enabling component that lies at the very heart of modern science and technology. Written by a recognized authority in the field, with expertise in both electron emission physics and electron beam physics, An Introduction to Electron Emission provides an in-depth look at the physics behind thermal, field, photo, and secondary electron emission mechanisms, how that physics affects the beams that result through space charge and emittance growth, and explores the physics behind their utilization in an array of applications. The book addresses mathematical and numerical methods underlying electron emission, describing where the equations originated, how they are related, and how they may be correctly used to model actual sources for devices using electron beams. Writing for the beam physics and solid state communities, the author explores applications of electron emission methodology to solid state, statistical, and quantum mechanical ideas and concepts related to simulations of electron beams to condensed matter, solid state and fabrication communities. Provides an extensive description of the physics behind four electron emission mechanisms—field, photo, and secondary, and how that physics relates to factors such as space charge and emittance that affect electron beams. Introduces readers to mathematical and numerical methods, their origins, and how they may be correctly used to model actual sources for devices using electron beams Demonstrates applications of electron methodology as well as quantum mechanical concepts related to simulations of electron beams to solid state design and manufacture Designed to function as both a graduate-level text and a reference for research professionals Introduction to the Physics of Electron Emission is a valuable learning tool for postgraduates studying quantum mechanics, statistical mechanics, solid state physics, electron transport, and beam physics. It is also an indispensable resource for academic researchers and professionals who use electron sources, model electron emission, develop cathode technologies, or utilize electron beams.

David Hilbert’s Lectures on the Foundations of Geometry 1891–1902

Michael Hallett,Ulrich Majer

Author : Michael Hallett,Ulrich Majer
Publisher : Springer
Page : 0 pages
File Size : 47,8 Mb
Release : 2004-05-17
Category : Mathematics
ISBN : 3540643737

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David Hilbert’s Lectures on the Foundations of Geometry 1891–1902 by Michael Hallett,Ulrich Majer Pdf

This volume contains six sets of notes for lectures on the foundations of geometry held by Hilbert in the period 1891-1902. It also reprints the first edition of Hilbert’s celebrated Grundlagen der Geometrie of 1899, together with the important additions which appeared first in the French translation of 1900. The lectures document the emergence of a new approach to foundational study and contain many reflections and investigations which never found their way into print.

Logos and Alogon

Arkady Plotnitsky

Author : Arkady Plotnitsky
Publisher : Springer Nature
Page : 307 pages
File Size : 51,6 Mb
Release : 2023-01-16
Category : Mathematics
ISBN : 9783031136788

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Logos and Alogon by Arkady Plotnitsky Pdf

This book is a philosophical study of mathematics, pursued by considering and relating two aspects of mathematical thinking and practice, especially in modern mathematics, which, having emerged around 1800, consolidated around 1900 and extends to our own time, while also tracing both aspects to earlier periods, beginning with the ancient Greek mathematics. The first aspect is conceptual, which characterizes mathematics as the invention of and working with concepts, rather than only by its logical nature. The second, Pythagorean, aspect is grounded, first, in the interplay of geometry and algebra in modern mathematics, and secondly, in the epistemologically most radical form of modern mathematics, designated in this study as radical Pythagorean mathematics. This form of mathematics is defined by the role of that which beyond the limits of thought in mathematical thinking, or in ancient Greek terms, used in the book’s title, an alogon in the logos of mathematics. The outcome of this investigation is a new philosophical and historical understanding of the nature of modern mathematics and mathematics in general. The book is addressed to mathematicians, mathematical physicists, and philosophers and historians of mathematics, and graduate students in these fields.

The Architecture of Modern Mathematics

J. Ferreiros,José Ferreirós Domínguez,J. J. Gray,Jeremy Gray

Author : J. Ferreiros,José Ferreirós Domínguez,J. J. Gray,Jeremy Gray
Publisher : Oxford University Press on Demand
Page : 455 pages
File Size : 51,5 Mb
Release : 2006-04-27
Category : Mathematics
ISBN : 9780198567936

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The Architecture of Modern Mathematics by J. Ferreiros,José Ferreirós Domínguez,J. J. Gray,Jeremy Gray Pdf

Aimed at both students and researchers in philosophy, mathematics and the history of science, this edited volume, authored by leading scholars, highlights foremost developments in both the philosophy and history of modern mathematics.

David Hilbert And The Axiomatization Of Physics 1898 1918

David Hilbert and the Axiomatization of Physics (1898–1918) by L. Corry Pdf

David Hilbert's Lectures on the Foundations of Physics 1915-1927 by Tilman Sauer,Ulrich Majer Pdf

The Genesis of General Relativity by Jürgen Renn Pdf

Foundations of Mathematics and Physics One Century After Hilbert by Joseph Kouneiher Pdf

Establishing Quantum Physics in Göttingen by Arne Schirrmacher Pdf

Phenomenological Approaches to Physics by Harald A. Wiltsche,Philipp Berghofer Pdf

Einstein and the Changing Worldviews of Physics by Christoph Lehner,Jürgen Renn,Matthias Schemmel Pdf

Philosophy of Physics by Jeremy Butterfield,John Earman Pdf

The Oxford Handbook of the History of Quantum Interpretations by Guido Bacciagaluppi,Olivier Darrigol,Olival Freire Jr Pdf

A Richer Picture of Mathematics by David E. Rowe Pdf

Foundations of General Relativity by Klaas Landsman Pdf

Introduction to the Physics of Electron Emission by Kevin L. Jensen Pdf

David Hilbert’s Lectures on the Foundations of Geometry 1891–1902 by Michael Hallett,Ulrich Majer Pdf

Logos and Alogon by Arkady Plotnitsky Pdf

The Architecture of Modern Mathematics by J. Ferreiros,José Ferreirós Domínguez,J. J. Gray,Jeremy Gray Pdf

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