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This volume contains eighteen papers that have been collected by
the Canadian Society for History and Philosophy of Mathematics. It
showcases rigorously-reviewed contemporary scholarship on an
interesting variety of topics in the history and philosophy of
mathematics, as well as the teaching of the history of
mathematics.  Some of the topics explored include
Arabic editions of Euclid’s Elements from the thirteenth century
and their role in the assimilation of Euclidean geometry into the
Islamic intellectual tradition Portuguese sixteenth century
recreational mathematics as found in the Tratado de Prática
Darysmetica A Cambridge correspondence course in arithmetic
for women in England in the late nineteenth century The
mathematical interests of the famous Egyptologist Thomas Eric (T.
E.) Peet The history of Zentralblatt für Mathematik and
Mathematical Reviews and their role in creating a publishing
infrastructure for a global mathematical literature The use of
Latin squares for agricultural crop experiments at the Rothamsted
Experimental Station The many contributions of women to the
advancement of computing techniques at the Cavendish Laboratory at
the University of Cambridge in the 1960s The volume concludes with
two short plays, one set in Ancient Mesopotamia and the other in
Ancient Egypt, that are well suited for use in the mathematics
classroom. Written by leading scholars in the field, these papers
are accessible not only to mathematicians and students of the
history and philosophy of mathematics, but also to anyone with a
general interest in mathematics.
This volume contains ten papers that have been collected by the
Canadian Society for History and Philosophy of Mathematics/Societe
canadienne d'histoire et de philosophie des mathematiques. It
showcases rigorously-reviewed contemporary scholarship on an
interesting variety of topics in the history and philosophy of
mathematics from the seventeenth century to the modern era. The
volume begins with an exposition of the life and work of Professor
Boleslaw Sobocinski. It then moves on to cover a collection of
topics about twentieth-century philosophy of mathematics, including
Fred Sommers's creation of Traditional Formal Logic and Alexander
Grothendieck's work as a starting point for discussing analogies
between commutative algebra and algebraic geometry. Continuing the
focus on the philosophy of mathematics, the next selections discuss
the mathematization of biology and address the study of numerical
cognition. The volume then moves to discussing various aspects of
mathematics education, including Charles Davies's early book on the
teaching of mathematics and the use of Gaussian Lemniscates in the
classroom. A collection of papers on the history of mathematics in
the nineteenth century closes out the volume, presenting a
discussion of Gauss's "Allgemeine Theorie des Erdmagnetismus" and a
comparison of the geometric works of Desargues and La Hire. Written
by leading scholars in the field, these papers are accessible not
only to mathematicians and students of the history and philosophy
of mathematics, but also to anyone with a general interest in
mathematics.
This volume contains thirteen papers that were presented at the
2017 Annual Meeting of the Canadian Society for History and
Philosophy of Mathematics/Societe canadienne d'histoire et de
philosophie des mathematiques, which was held at Ryerson University
in Toronto. It showcases rigorously reviewed modern scholarship on
an interesting variety of topics in the history and philosophy of
mathematics from Ancient Greece to the twentieth century. A series
of chapters all set in the eighteenth century consider topics such
as John Marsh's techniques for the computation of decimal
fractions, Euler's efforts to compute the surface area of scalene
cones, a little-known work by John Playfair on the practical
aspects of mathematics, and Monge's use of descriptive geometry.
After a brief stop in the nineteenth century to consider the
culture of research mathematics in 1860s Prussia, the book moves
into the twentieth century with an examination of the historical
context within which the Axiom of Choice was developed and a paper
discussing Anatoly Vlasov's adaptation of the Boltzmann equation to
ionized gases. The remaining chapters deal with the philosophy of
twentieth-century mathematics through topics such as an
historically informed discussion of finitism and its limits; a
reexamination of Mary Leng's defenses of mathematical fictionalism
through an alternative, anti-realist approach to mathematics; and a
look at the reasons that mathematicians select specific problems to
pursue. Written by leading scholars in the field, these papers are
accessible to not only mathematicians and students of the history
and philosophy of mathematics, but also anyone with a general
interest in mathematics.
This volume contains fourteen papers that were presented at the
2016 Annual Meeting of the Canadian Society for History and
Philosophy of Mathematics/La Societe Canadienne d'Histoire et de
Philosophie des Mathematiques, held at the University of Calgary in
Alberta, Canada. In addition to showcasing rigorously reviewed
modern scholarship on an interesting variety of topics in the
history and philosophy of mathematics, this meeting also honored
the life and work of the logician and philosopher of mathematics
Aldo Antonelli (1962-2015). The first four papers in this book are
part of that remembrance and have a philosophical focus. Included
in these are a discussion of Bolzano's objections to Kant's
philosophy of mathematics and an examination of the influence of
rhetorical and poetic aesthetics on the development of symbols in
the 16th and 17th Centuries. The remaining papers deal with the
history of mathematics and cover such subjects as Early schemes for
polar ordinates in the work of L'Hopital, based on lessons given to
him by Bernoulli A method devised by Euler for determining if a
number is a sum of two squares Playfair's Axiom and what it reveals
about the history of 19th-Century mathematics education The modern
library classification system for mathematical subjects An
exploration of various examples of sundials throughout Paris
Written by leading scholars in the field, these papers are
accessible to not only mathematicians and students of the history
and philosophy of mathematics, but also anyone with a general
interest in mathematics.
This volume contains thirteen papers that were presented at the
2014 Annual Meeting of the Canadian Society for History and
Philosophy of Mathematics/La Societe Canadienne d'Histoire et de
Philosophie des Mathematiques, held on the campus of Brock
University in St. Catharines, Ontario, Canada. It contains
rigorously reviewed modern scholarship on general topics in the
history and philosophy of mathematics, as well as on the meeting's
special topic, Early Scientific Computation. These papers cover
subjects such as *Physical tools used by mathematicians in the
seventeenth century *The first historical appearance of the
game-theoretical concept of mixed-strategy equilibrium *George
Washington's mathematical cyphering books *The development of the
Venn diagram *The role of Euler and other mathematicians in the
development of algebraic analysis *Arthur Cayley and Alfred Kempe's
influence on Charles Peirce's diagrammatic logic *The influence
publishers had on the development of mathematical pedagogy in the
nineteenth century *A description of the 1924 International
Mathematical Congress held in Toronto, told in the form of a
"narrated slide show" Written by leading scholars in the field,
these papers will be accessible to not only mathematicians and
students of the history and philosophy of mathematics, but also
anyone with a general interest in mathematics.
This volume contains eleven papers that have been collected by the
Canadian Society for History and Philosophy of Mathematics/Societe
canadienne d'histoire et de philosophie des mathematiques. It
showcases rigorously-reviewed contemporary scholarship on an
interesting variety of topics in the history and philosophy of
mathematics, as well as the teaching of the history of mathematics.
Topics considered include The mathematics and astronomy in
Nathaniel Torperly's only published work, Diclides Coelometricae,
seu valvae astronomicae universal Connections between the work of
Urbain Le Verrier, Carl Gustav Jacob Jacobi, and Augustin-Louis
Cauchy on the algebraic eigenvalue problem An evaluation of Ken
Manders' argument against conceiving of the diagrams in Euclid's
Elements in semantic terms The development of undergraduate modern
algebra courses in the United States Ways of using the history of
mathematics to teach the foundations of mathematical analysis
Written by leading scholars in the field, these papers are
accessible not only to mathematicians and students of the history
and philosophy of mathematics, but also to anyone with a general
interest in mathematics.
This volume contains eleven papers that have been collected by the
Canadian Society for History and Philosophy of Mathematics/Societe
canadienne d'histoire et de philosophie des mathematiques. It
showcases rigorously-reviewed contemporary scholarship on an
interesting variety of topics in the history and philosophy of
mathematics, as well as the teaching of the history of mathematics.
Topics considered include The mathematics and astronomy in
Nathaniel Torperly's only published work, Diclides Coelometricae,
seu valvae astronomicae universal Connections between the work of
Urbain Le Verrier, Carl Gustav Jacob Jacobi, and Augustin-Louis
Cauchy on the algebraic eigenvalue problem An evaluation of Ken
Manders' argument against conceiving of the diagrams in Euclid's
Elements in semantic terms The development of undergraduate modern
algebra courses in the United States Ways of using the history of
mathematics to teach the foundations of mathematical analysis
Written by leading scholars in the field, these papers are
accessible not only to mathematicians and students of the history
and philosophy of mathematics, but also to anyone with a general
interest in mathematics.
This volume contains seventeen papers that were presented at the
2015 Annual Meeting of the Canadian Society for History and
Philosophy of Mathematics/La Societe Canadienne d'Histoire et de
Philosophie des Mathematiques, held in Washington, D.C. In addition
to showcasing rigorously reviewed modern scholarship on an
interesting variety of general topics in the history and philosophy
of mathematics, this meeting also honored the memories of
Jacqueline (Jackie) Stedall and Ivor Grattan-Guinness; celebrated
the Centennial of the Mathematical Association of America; and
considered the importance of mathematical communities in a special
session. These themes and many others are explored in these
collected papers, which cover subjects such as New evidence that
the Latin translation of Euclid's Elements was based on the Arabic
version attributed to al-Hajjaj Work done on the arc rampant in the
seventeenth century The history of numerical methods for finding
roots of nonlinear equations An original play featuring a dialogue
between George Boole and Augustus De Morgan that explores the
relationship between them Key issues in the digital preservation of
mathematical material for future generations A look at the first
twenty-five years of The American Mathematical Monthly in the
context of the evolving American mathematical community The growth
of Math Circles and the unique ways they are being implemented in
the United States Written by leading scholars in the field, these
papers will be accessible to not only mathematicians and students
of the history and philosophy of mathematics, but also anyone with
a general interest in mathematics.
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