An Invitation to Mathematical Physics and Its History

An Invitation to Mathematical Physics and Its History
Author: Jont Allen
Publisher: Springer Nature
Total Pages: 394
Release: 2020-09-22
Genre: Technology & Engineering
ISBN: 3030537595

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This state of the art book takes an applications based approach to teaching mathematics to engineering and applied sciences students. The book lays emphasis on associating mathematical concepts with their physical counterparts, training students of engineering in mathematics to help them learn how things work. The book covers the concepts of number systems, algebra equations and calculus through discussions on mathematics and physics, discussing their intertwined history in a chronological order. The book includes examples, homework problems, and exercises. This book can be used to teach a first course in engineering mathematics or as a refresher on basic mathematical physics. Besides serving as core textbook, this book will also appeal to undergraduate students with cross-disciplinary interests as a supplementary text or reader.

Masters of Theory

Masters of Theory
Author: Andrew Warwick
Publisher: University of Chicago Press
Total Pages: 587
Release: 2011-04-15
Genre: Science
ISBN: 0226873765

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Winner of the the Susan Elizabeth Abrams Prize in History of Science. When Isaac Newton published the Principia three centuries ago, only a few scholars were capable of understanding his conceptually demanding work. Yet this esoteric knowledge quickly became accessible in the nineteenth and early twentieth centuries when Britain produced many leading mathematical physicists. In this book, Andrew Warwick shows how the education of these "masters of theory" led them to transform our understanding of everything from the flight of a boomerang to the structure of the universe. Warwick focuses on Cambridge University, where many of the best physicists trained. He begins by tracing the dramatic changes in undergraduate education there since the eighteenth century, especially the gradual emergence of the private tutor as the most important teacher of mathematics. Next he explores the material culture of mathematics instruction, showing how the humble pen and paper so crucial to this study transformed everything from classroom teaching to final examinations. Balancing their intense intellectual work with strenuous physical exercise, the students themselves—known as the "Wranglers"—helped foster the competitive spirit that drove them in the classroom and informed the Victorian ideal of a manly student. Finally, by investigating several historical "cases," such as the reception of Albert Einstein's special and general theories of relativity, Warwick shows how the production, transmission, and reception of new knowledge was profoundly shaped by the skills taught to Cambridge undergraduates. Drawing on a wealth of new archival evidence and illustrations, Masters of Theory examines the origins of a cultural tradition within which the complex world of theoretical physics was made commonplace.

Analysis and Mathematical Physics

Analysis and Mathematical Physics
Author: H. Triebel
Publisher: Springer Science & Business Media
Total Pages: 494
Release: 1987-01-31
Genre: Mathematics
ISBN: 9789027720771

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The Value of Science

The Value of Science
Author: Henri Poincaré
Publisher:
Total Pages: 12
Release: 1907
Genre: Mathematical physics
ISBN:

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A History of the Ideas of Theoretical Physics

A History of the Ideas of Theoretical Physics
Author: S. D'Agostino
Publisher: Springer Science & Business Media
Total Pages: 406
Release: 2012-12-06
Genre: Science
ISBN: 9401090343

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This book presents a perspective on the history of theoretical physics over the past two hundreds years. It comprises essays on the history of pre-Maxwellian electrodynamics, of Maxwell's and Hertz's field theories, and of the present century's relativity and quantum physics. A common thread across the essays is the search for and the exploration of themes that influenced significant con ceptual changes in the great movement of ideas and experiments which heralded the emergence of theoretical physics (hereafter: TP). The fun. damental change involved the recognition of the scien tific validity of theoretical physics. In the second half of the nine teenth century, it was not easy for many physicists to understand the nature and scope of theoretical physics and of its adept, the theoreti cal physicist. A physicist like Ludwig Boltzmann, one of the eminent contributors to the new discipline, confessed in 1895 that, "even the formulation of this concept [of a theoretical physicist] is not entirely without difficulty". 1 Although science had always been divided into theory and experiment, it was only in physics that theoretical work developed into a major research and teaching specialty in its own right. 2 It is true that theoretical physics was mainly a creation of tum of-the century German physics, where it received full institutional recognition, but it is also undeniable that outstanding physicists in other European countries, namely, Ampere, Fourier, and Maxwell, also had an important part in its creation.

Invitation to the Mathematics of Fermat-Wiles

Invitation to the Mathematics of Fermat-Wiles
Author: Yves Hellegouarch
Publisher: Elsevier
Total Pages: 395
Release: 2001-09-24
Genre: Mathematics
ISBN: 0080478778

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Assuming only modest knowledge of undergraduate level math, Invitation to the Mathematics of Fermat-Wiles presents diverse concepts required to comprehend Wiles' extraordinary proof. Furthermore, it places these concepts in their historical context. This book can be used in introduction to mathematics theories courses and in special topics courses on Fermat's last theorem. It contains themes suitable for development by students as an introduction to personal research as well as numerous exercises and problems. However, the book will also appeal to the inquiring and mathematically informed reader intrigued by the unraveling of this fascinating puzzle. Rigorously presents the concepts required to understand Wiles' proof, assuming only modest undergraduate level math Sets the math in its historical context Contains several themes that could be further developed by student research and numerous exercises and problems Written by Yves Hellegouarch, who himself made an important contribution to the proof of Fermat's last theorem

Interactions

Interactions
Author: Vincent F. Hendricks
Publisher: Boston Studies in the Philosophy and History of Science
Total Pages: 360
Release: 2006
Genre: Mathematics
ISBN:

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The main theme of this anthology is the unique interaction between mathematics, physics and philosophy during the beginning of the 20th century. Seminal theories of modern physics and new fundamental mathematical structures were discovered or formed in this period. Significant physicists such as Lorentz and Einstein as well as mathematicians such as Poincaré, Minkowski, Hilbert and Weyl contributed to this development. They created the new physical theories and the mathematical disciplines that play such paramount roles in their mathematical formulations. These physicists and mathematicians were also key figures in the philosophical discussions of nature and science â from philosophical tendencies like logical empiricism via critical rationalism to various neo-Kantian trends.

Tales of Physicists and Mathematicians

Tales of Physicists and Mathematicians
Author: Simon Gindikin
Publisher: Springer Science & Business Media
Total Pages: 167
Release: 2013-12-01
Genre: Mathematics
ISBN: 1461239427

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This revised and greatly expanded edition of the Russian classic contains a wealth of new information about the lives of many great mathematicians and scientists, past and present. Written by a distinguished mathematician and featuring a unique mix of mathematics, physics, and history, this text combines original source material and provides careful explanations for some of the most significant discoveries in mathematics and physics. What emerges are intriguing, multifaceted biographies that will interest readers at all levels.

Mathematical Physics: Or, The Mathematical Principles of Natural Philosophy: With a Development of T

Mathematical Physics: Or, The Mathematical Principles of Natural Philosophy: With a Development of T
Author: John Herapath
Publisher: Legare Street Press
Total Pages: 0
Release: 2023-07-18
Genre: History
ISBN: 9781022143074

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Herapath provides an introduction to mathematical physics and natural philosophy, suitable for students, teachers and any general reader with an interest in science. This book is ideal for those who are looking for a comprehensive and accessible overview of the topic. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.