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1 Nahin, Paul J The Probability Integral I12823 2023 eBook  
2 Rowe, David E Beyond Einstein I09813 2018 eBook  
3 Chalmers, Alan F One Hundred Years of Pressure I09784 2017 eBook  
4 Beisbart, Claus Thinking About Space and Time I09723 2020 eBook  
5 Kouneiher, Joseph Foundations of Mathematics and Physics One Century After Hilbert I09694 2018 eBook  
6 Treese, Steven A History and Measurement of the Base and Derived Units I09689 2018 eBook  
7 Blum, Alexander S The Renaissance of General Relativity in Context I09424 2020 eBook  
8 Eckert, Michael The Turbulence Problem I09312 2019 eBook  
9 Lehmkuhl, Dennis Towards a Theory of Spacetime Theories I09130 2017 eBook  
10 Mussardo, Giuseppe The ABC???s of Science I09029 2020 eBook  
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TitleThe Probability Integral : Its Origin, Its Importance, and Its Calculation
Author(s)Nahin, Paul J
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2023.
DescriptionXXX, 189 p. 34 illus. in color : online resource
Abstract NoteThis book tells the story of the probability integral, the approaches to analyzing it throughout history, and the many areas of science where it arises. The so-called probability integral, the integral over the real line of a Gaussian function, occurs ubiquitously in mathematics, physics, engineering and probability theory. Stubbornly resistant to the undergraduate toolkit for handling integrals, calculating its value and investigating its properties occupied such mathematical luminaries as De Moivre, Laplace, Poisson, and Liouville. This book introduces the probability integral, puts it into a historical context, and describes the different approaches throughout history to evaluate and analyze it. The author also takes entertaining diversions into areas of math, science, and engineering where the probability integral arises: as well as being indispensable to probability theory and statistics, it also shows up naturally in thermodynamics and signal processing. Designed to be accessibleto anyone at the undergraduate level and above, this book will appeal to anyone interested in integration techniques, as well as historians of math, science, and statistics
ISBN,Price9783031384165
Keyword(s)1. EBOOK - SPRINGER 2. ENGINEERING MATHEMATICS 3. HISTORY 4. History of Mathematical Sciences 5. History of Statistics 6. Mathematical Methods in Physics 7. MATHEMATICAL PHYSICS 8. MATHEMATICS 9. Measure and Integration 10. MEASURE THEORY 11. PROBABILITIES 12. PROBABILITY THEORY 13. Statistics??
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TitleBeyond Einstein : Perspectives on Geometry, Gravitation, and Cosmology in the Twentieth Century
Author(s)Rowe, David E;Sauer, Tilman;Walter, Scott A
PublicationNew York, NY, 1. Imprint: Birkh??user 2. Springer New York, 2018.
DescriptionXXIII, 492 p. 71 illus., 14 illus. in color : online resource
Abstract NoteThis volume explores the interplay between mathematical and physical research and the interactions of twentieth-century scientists within their academic communities. Beginning with Einstein???s general theory of relativity, the authors investigate a series of dramatic discoveries and rival theories in physics that influenced the development of modern differential geometry. Other sections recount the numerous methods, like the resurgence of Weyl geometry, used by geometers to solve the problems revealed by those same innovations in space-time physics. The effect of general relativity on astronomy is also addressed, namely how astronomers worked through new theories like inflationary cosmology and Phoenix models. By including recent historical research and coupling this work with many disciplines??? unique perspectives, this text provides a rich picture of general relativity and cosmology over the course of the twentieth century. The increased study on the documentation of Einstein???s early scientific work has clarified the history of science for that time and profoundly altered the way scientists view their own work, as this interdisciplinary volume demonstrates
ISBN,Price9781493977086
Keyword(s)1. Classical and Quantum Gravitation, Relativity Theory 2. DIFFERENTIAL GEOMETRY 3. EBOOK 4. EBOOK - SPRINGER 5. GRAVITATION 6. HISTORY 7. History of Mathematical Sciences 8. MATHEMATICS 9. Philosophy and science 10. PHILOSOPHY OF SCIENCE 11. QUANTUM PHYSICS
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TitleOne Hundred Years of Pressure : Hydrostatics from Stevin to Newton
Author(s)Chalmers, Alan F
PublicationCham, Springer International Publishing, 2017.
DescriptionIX, 197 p. 14 illus : online resource
Abstract NoteThis monograph investigates the development of hydrostatics as a science. In the process, it sheds new light on the nature of science and its origins in the Scientific Revolution. Readers will come to see that the history of hydrostatics reveals subtle ways in which the science of the seventeenth century differed from previous periods. The key, the author argues, is the new insights into the concept of pressure that emerged during the Scientific Revolution. This came about due to contributions from such figures as Simon Stevin, Pascal, Boyle and Newton. The author compares their work with Galileo and Descartes, neither of whom grasped the need for a new conception of pressure. As a result, their contributions to hydrostatics were unproductive. The story ends with Newton insofar as his version of hydrostatics set the subject on its modern course. He articulated a technical notion of pressure that was up to the task. Newton compared the mathematical way in hydrostatics and the experimental way, and sided with the former. The subtleties that lie behind Newton's position throws light on the way in which developments in seventeenth-century science simultaneously involved mathematization and experimentation. This book serves as an example of the degree of conceptual change that new sciences often require. It will be of interest to those involved in the study of history and philosophy of science. It will also appeal to physicists as well as interested general readers
ISBN,Price9783319565293
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. EPISTEMOLOGY 4. HISTORY 5. History and Philosophical Foundations of Physics 6. History of Mathematical Sciences 7. MATHEMATICS 8. Philosophical and Historical Foundations of Science 9. Philosophy and science 10. PHILOSOPHY OF SCIENCE 11. PHYSICS 12. Science???History 13. Science???Philosophy
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TitleThinking About Space and Time : 100 Years of Applying and Interpreting General Relativity
Author(s)Beisbart, Claus;Sauer, Tilman;W??thrich, Christian
PublicationCham, 1. Imprint: Birkh??user 2. Springer International Publishing, 2020.
DescriptionXVIII, 267 p. 8 illus., 3 illus. in color : online resource
Abstract NoteThis volume offers an integrated understanding of how the theory of general relativity gained momentum after Einstein had formulated it in 1915. Chapters focus on the early reception of the theory in physics and philosophy and on the systematic questions that emerged shortly after Einstein's momentous discovery. They are written by physicists, historians of science, and philosophers, and were originally presented at the conference titled Thinking About Space and Time: 100 Years of Applying and Interpreting General Relativity, held at the University of Bern from September 12-14, 2017. By establishing the historical context first, and then moving into more philosophical chapters, this volume will provide readers with a more complete understanding of early applications of general relativity (e.g., to cosmology) and of related philosophical issues. Because the chapters are often cross-disciplinary, they cover a wide variety of topics related to the general theory of relativity. These include: Heuristics used in the discovery of general relativity Mach's Principle The structure of Einstein's theory Cosmology and the Einstein world Stability of cosmological models The metaphysical nature of spacetime The relationship between spacetime and dynamics The Geodesic Principle Symmetries Thinking About Space and Time will be a valuable resource for historians of science and philosophers who seek a deeper knowledge of the (early and later) uses of general relativity, as well as for physicists and mathematicians interested in exploring the wider historical and philosophical context of Einstein's theory
ISBN,Price9783030477820
Keyword(s)1. Classical and Quantum Gravitation, Relativity Theory 2. EBOOK 3. EBOOK - SPRINGER 4. GRAVITATION 5. HISTORY 6. History of Mathematical Sciences 7. Mathematical Applications in the Physical Sciences 8. MATHEMATICAL PHYSICS 9. MATHEMATICS 10. Philosophy and science 11. PHILOSOPHY OF SCIENCE
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TitleFoundations of Mathematics and Physics One Century After Hilbert : New Perspectives
Author(s)Kouneiher, Joseph
PublicationCham, Springer International Publishing, 2018.
DescriptionXXI, 441 p : online resource
Abstract NoteThis 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
ISBN,Price9783319648132
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. HISTORY 4. History and Philosophical Foundations of Physics 5. History of Mathematical Sciences 6. MATHEMATICAL PHYSICS 7. MATHEMATICS 8. PHYSICS 9. Theoretical, Mathematical and Computational Physics
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TitleHistory and Measurement of the Base and Derived Units
Author(s)Treese, Steven A
PublicationCham, Springer International Publishing, 2018.
DescriptionXIII, 1121 p. 89 illus., 80 illus. in color : online resource
Abstract NoteThis book discusses how and why historical measurement units developed, and reviews useful methods for making conversions as well as situations in which dimensional analysis can be used. It starts from the history of length measurement, which is one of the oldest measures used by humans. It highlights the importance of area measurement, briefly discussing the methods for determining areas mathematically and by measurement. The book continues on to detail the development of measures for volume, mass, weight, time, temperature, angle, electrical units, amounts of substances, and light intensity. The seven SI/metric base units are highlighted, as well as a number of other units that have historically been used as base units. Providing a comprehensive reference for interconversion among the commonly measured quantities in the different measurement systems with engineering accuracy, it also examines the relationships among base units in fields such as mechanical/thermal, electromagnetic and physical flow rates and fluxes using diagrams.
ISBN,Price9783319775777
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. HISTORY 4. History and Philosophical Foundations of Physics 5. History of Mathematical Sciences 6. HISTORY OF SCIENCE 7. MATHEMATICS 8. Measurement Science and Instrumentation 9. Measurement?????? 10. PHYSICAL MEASUREMENTS 11. PHYSICS
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TitleThe Renaissance of General Relativity in Context
Author(s)Blum, Alexander S;Lalli, Roberto;Renn, J??rgen
PublicationCham, 1. Imprint: Birkh??user 2. Springer International Publishing, 2020.
DescriptionX, 406 p. 29 illus., 27 illus. in color : online resource
Abstract NoteThis contributed volume explores the renaissance of general relativity after World War II, when it transformed from a marginal theory into a cornerstone of modern physics. Chapters explore key historical processes related to the theory of general relativity, in addition to presenting a thorough treatment of the relevant science behind these episodes. A broad historiographical framework is introduced first, thus providing the broad context in which the given computational approaches and case studies occurred. Written by an international and interdisciplinary group of expert authors, these chapters will bring readers to a more complete understanding of Einstein???s theory. Specific topics include: Social and citation networks The Fock-Infeld dispute Wheeler???s turn to gravitation theory The position of general relativity in theories of fundamental interactions The pursuit of a quantum theory of gravity The emergence of dark matter in relation to cosmological models Institutional frameworks for gravitational wave search in Europe The Renaissance of General Relativity in Context is ideal for historians, philosophers, and sociologists of science. Students and researchers in physics will also be interested in the topics explored
ISBN,Price9783030507541
Keyword(s)1. Classical and Quantum Gravitation, Relativity Theory 2. EBOOK 3. EBOOK - SPRINGER 4. GRAVITATION 5. HISTORY 6. History of Mathematical Sciences 7. MATHEMATICAL PHYSICS 8. MATHEMATICS
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TitleThe Turbulence Problem : A Persistent Riddle in Historical Perspective
Author(s)Eckert, Michael
PublicationCham, Springer International Publishing, 2019.
DescriptionXII, 107 p. 10 illus : online resource
Abstract NoteOn the road toward a history of turbulence, this book focuses on what the actors in this research field have identified as the ???turbulence problem???. Turbulent flow rose to prominence as one of the most persistent challenges in science. At different times and in different social and disciplinary settings, the nature of this problem has changed in response to changing research agendas. This book does not seek to provide a comprehensive account, but instead an exemplary exposition on the environments in which problems become the subjects of research agendas, with particular emphasis on the first half of the 20th century
ISBN,Price9783030318635
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. Engineering Fluid Dynamics 4. FLUID MECHANICS 5. Fluid- and Aerodynamics 6. FLUIDS 7. HISTORY 8. History and Philosophical Foundations of Physics 9. History of Mathematical Sciences 10. HISTORY OF SCIENCE 11. MATHEMATICS 12. PHYSICS
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TitleTowards a Theory of Spacetime Theories
Author(s)Lehmkuhl, Dennis;Schiemann, Gregor;Scholz, Erhard
PublicationNew York, NY, 1. Imprint: Birkh??user 2. Springer New York, 2017.
DescriptionVIII, 335 p. 7 illus : online resource
Abstract NoteThis contributed volume is the result of a July 2010 workshop at the University of Wuppertal Interdisciplinary Centre for Science and Technology Studies which brought together world-wide experts from physics, philosophy and history, in order to address a set of questions first posed in the 1950s: How do we compare spacetime theories? How do we judge, objectively, which is the ???best??? theory? Is there even a unique answer to this question? The goal of the workshop, and of this book, is to contribute to the development of a meta-theory of spacetime theories. Such a meta-theory would reveal insights about specific spacetime theories by distilling their essential similarities and differences, deliver a framework for a class of theories that could be helpful as a blueprint to build other meta-theories, and provide a higher level viewpoint for judging which theory most accurately describes nature. But rather than drawing a map in broad strokes, the focus is on particularly rich regions in the ???space of spacetime theories.??? This work will be of interest to physicists, as well as philosophers and historians of science working with or interested in General Relativity and/or Space, Time and Gravitation more generally
ISBN,Price9781493932108
Keyword(s)1. DIFFERENTIAL GEOMETRY 2. EBOOK 3. EBOOK - SPRINGER 4. HISTORY 5. History of Mathematical Sciences 6. MATHEMATICAL PHYSICS 7. MATHEMATICS 8. Theoretical, Mathematical and Computational Physics
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TitleThe ABC???s of Science
Author(s)Mussardo, Giuseppe
PublicationCham, Springer International Publishing, 2020.
DescriptionX, 248 p. 35 illus., 5 illus. in color : online resource
Abstract NoteScience, with its inherent tension between the known and the unknown, is an inexhaustible mine of great stories. Collected here are twenty-six among the most enchanting tales, one for each letter of the alphabet: the main characters are scientists of the highest calibre mostly of whom, however, are unknown to the general public. This book goes from A to Z. The letter A stands for Abel, the great Norwegian mathematician, here involved in an elliptic thriller about a fundamental theorem of mathematics, while the letter Z refers to Absolute Zero, the ultimate and lowest temperature limit, - 273,15 degrees Celsius, a value that is tremendously cooler than the most remote corner of the Universe: the race to reach this final outpost of coldness is not yet complete, but, similarly to the history books of polar explorations at the beginning of the 20th century, its pages record successes, failures, fierce rivalries and tragic desperations. In between the A and the Z, the other letters of the alphabet are similar to the various stages of a very fascinating journey along the paths of science, a journey in the company of a very unique set of characters as eccentric and peculiar as those in Ulysses by James Joyce: the French astronomer who lost everything, even his mind, to chase the transits of Venus; the caustic Austrian scientist who, perfectly at ease with both the laws of psychoanalysis and quantum mechanics, revealed the hidden secrets of dreams and the periodic table of chemical elements; the young Indian astrophysicist who was the first to understand how a star dies, suffering the ferocious opposition of his mentor for this discovery. Or the Hungarian physicist who struggled with his melancholy in the shadows of the desert of Los Alamos; or the French scholar who was forced to hide her femininity behind a false identity so as to publish fundamental theorems on prime numbers. And so on and so forth. Twenty-six stories, which reveal the most authentic atmosphere of science and the lives of some of its main players: each story can be read in quite a short period of time -- basically the time it takes to get on and off the train between two metro stations. Largely independent from one another, these twenty-six stories make the book a harmonious polyphony of several voices: the reader can invent his/her own very personal order for the chapters simply by ordering the sequence of letters differently. For an elementary law of Mathematics, this can give rise to an astronomically large number of possible books -- all the same, but - then again - all different. This book is therefore the ideal companion for an infinite number of real or metaphoric journeys
ISBN,Price9783030551698
Keyword(s)1. BIOLOGY - HISTORY 2. CHEMISTRY - HISTORY 3. EBOOK 4. EBOOK - SPRINGER 5. HISTORY 6. History and Philosophical Foundations of Physics 7. History of Biology 8. History of Chemistry 9. History of Mathematical Sciences 10. HISTORY OF SCIENCE 11. MATHEMATICS 12. PHYSICS 13. Popular Science in Physics
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