Die Ausdehnungslehre
Die Ausdehnungslehre

Author: Hermann Grassmann

Publisher: Cambridge University Press

Published: 2013-10-16

Total Pages: 407

ISBN-13: 1108065619

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The 1862 extended version of a revolutionary 1844 work in German by the mathematician Hermann Grassmann (1809-77).

The Prehistory of Mathematical Structuralism
The Prehistory of Mathematical Structuralism

Author: Erich H. Reck

Publisher: Oxford University Press

Published: 2020

Total Pages: 469

ISBN-13: 0190641223

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This edited volume explores the previously underacknowledged 'pre-history' of mathematical structuralism, showing that structuralism has deep roots in the history of modern mathematics. The contributors explore this history along two distinct but interconnected dimensions. First, they reconsider the methodological contributions of major figures in the history of mathematics. Second, they re-examine a range of philosophical reflections from mathematically-inclinded philosophers like Russell, Carnap, and Quine, whose work led to profound conclusions about logical, epistemological, and metaphysic.

Mathematical Perspectives
Mathematical Perspectives

Author: Joseph W. Dauben

Publisher: Academic Press

Published: 2014-05-10

Total Pages: 289

ISBN-13: 148326257X

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Mathematical Perspectives: Essays on Mathematics and its Historical Development is a collection of 13 biographical essays on the historical advances of science. This collection is originally meant to comprise an issue of the journal Historia Mathematica in honor of Professor Kurt R. Biermann's 60th birthday. This 12-chapter text includes essays on studies and commentaries on the problem of "figures of equal perimeter by various authors in antiquity, including Zenodorus, Theon, and Pappus. Other essays explore the comparison of the areas of polygons with equal perimeter; the concept of function; history of mathematics; the development of mathematical physics in France; and the history of Logicism and Formalism. The remaining chapters deal with essays on an early version of Gauss' Disquisitiones Arithmeticae, ideal numbers, a mathematical-philosophilica theory of probability, and historical examples of problem of number sequence interpolation. This book will be of value to mathematicians, historians, and researchers.

American Journal of Mathematics
American Journal of Mathematics

Author:

Publisher:

Published: 1879

Total Pages: 446

ISBN-13:

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The American Journal of Mathematics publishes research papers and articles of broad appeal covering the major areas of contemporary mathematics.

The Historical Development of Quantum Theory
The Historical Development of Quantum Theory

Author: Jagdish Mehra

Publisher: Springer Science & Business Media

Published: 2000-12-28

Total Pages: 328

ISBN-13: 9780387951782

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Quantum Theory, together with the principles of special and general relativity, constitute a scientific revolution that has profoundly influenced the way in which we think about the universe and the fundamental forces that govern it. The Historical Development of Quantum Theory is a definitive historical study of that scientific work and the human struggles that accompanied it from the beginning. Drawing upon such materials as the resources of the Archives for the History of Quantum Physics, the Niels Bohr Archives, and the archives and scientific correspondence of the principal quantum physicists, as well as Jagdish Mehra's personal discussions over many years with most of the architects of quantum theory, the authors have written a rigorous scientific history of quantum theory in a deeply human context. This multivolume work presents a rich account of an intellectual triumph: a unique analysis of the creative scientific process. The Historical Development of Quantum Theory is science, history, and biography, all wrapped in the story of a great human enterprise. Its lessons will be an aid to those working in the sciences and humanities alike.