A History of Mathematical Notations: Notations mainly in higher mathematics

A History of Mathematical Notations: Notations mainly in higher mathematics PDF Author: Florian Cajori
Publisher:
ISBN:
Category : Grammar, Comparative and general
Languages : en
Pages : 396

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Book Description

A History of Mathematical Notations: Notations mainly in higher mathematics

A History of Mathematical Notations: Notations mainly in higher mathematics PDF Author: Florian Cajori
Publisher:
ISBN:
Category : Grammar, Comparative and general
Languages : en
Pages : 396

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Book Description


A History of Mathematical Notations

A History of Mathematical Notations PDF Author: Florian Cajori
Publisher: Courier Corporation
ISBN: 0486161161
Category : Mathematics
Languages : en
Pages : 865

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Book Description
This classic study notes the origin of a mathematical symbol, the competition it encountered, its spread among writers in different countries, its rise to popularity, and its eventual decline or ultimate survival. 1929 edition.

Enlightening Symbols

Enlightening Symbols PDF Author: Joseph Mazur
Publisher: Princeton University Press
ISBN: 1400850118
Category : Mathematics
Languages : en
Pages : 311

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Book Description
An entertaining look at the origins of mathematical symbols While all of us regularly use basic math symbols such as those for plus, minus, and equals, few of us know that many of these symbols weren't available before the sixteenth century. What did mathematicians rely on for their work before then? And how did mathematical notations evolve into what we know today? In Enlightening Symbols, popular math writer Joseph Mazur explains the fascinating history behind the development of our mathematical notation system. He shows how symbols were used initially, how one symbol replaced another over time, and how written math was conveyed before and after symbols became widely adopted. Traversing mathematical history and the foundations of numerals in different cultures, Mazur looks at how historians have disagreed over the origins of the numerical system for the past two centuries. He follows the transfigurations of algebra from a rhetorical style to a symbolic one, demonstrating that most algebra before the sixteenth century was written in prose or in verse employing the written names of numerals. Mazur also investigates the subconscious and psychological effects that mathematical symbols have had on mathematical thought, moods, meaning, communication, and comprehension. He considers how these symbols influence us (through similarity, association, identity, resemblance, and repeated imagery), how they lead to new ideas by subconscious associations, how they make connections between experience and the unknown, and how they contribute to the communication of basic mathematics. From words to abbreviations to symbols, this book shows how math evolved to the familiar forms we use today.

A History of Mathematical Notations: Notations in elementary mathematics

A History of Mathematical Notations: Notations in elementary mathematics PDF Author: Florian Cajori
Publisher:
ISBN:
Category : Grammar, Comparative and general
Languages : en
Pages : 476

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Book Description


The Mathematical Heritage Of C F Gauss

The Mathematical Heritage Of C F Gauss PDF Author: George M Rassias
Publisher: World Scientific
ISBN: 9814603791
Category :
Languages : en
Pages : 916

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Book Description
This volume is a collection of original and expository papers in the fields of Mathematics in which Gauss had made many fundamental discoveries. The contributors are all outstanding in their fields and the volume will be of great interest to all research mathematicians, research workers in the history of science, and graduate students in Mathematics and Mathematical Physics.

Handbook of Writing for the Mathematical Sciences

Handbook of Writing for the Mathematical Sciences PDF Author: Nicholas J. Higham
Publisher: SIAM
ISBN: 9780898719550
Category : Mathematics
Languages : en
Pages : 317

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Book Description
This handy volume, enlivened by anecdotes, unusual paper titles, and humorous quotations, provides even more information on the issues you will face when writing a technical paper or talk, from choosing the right journal in which to publish to handling your references. Its overview of the entire publication process is invaluable for anyone hoping to publish in a technical journal.

Revealing Arithmetic

Revealing Arithmetic PDF Author: Katherine Hannon
Publisher: New Leaf Publishing Group
ISBN: 1614587760
Category : Religion
Languages : en
Pages : 229

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Book Description
For years, Christian math books have looked basically like secular textbooks, with the addition of a Bible verse here or there. Here, at last, is a book to help you transform your math class and show your child God’s handiwork in math! Revealing Arithmetic will help you: Teach math from a biblical worldview. Worship the Lord in math. Help your child really understand concepts. Train your child to think mathematically. Transform everyday activities and objects into math lessons. Teach your child to use math as a real-life tool. Explore historical methods and symbols. This book is designed for homeschool parents needing a simple math guide to use alongside their curriculum and help them teach arithmetic to elementary students, older students needing a review of math basics before moving on to advanced mathematics, or Christian school or co-op teachers (or future teachers) wanting ideas on how to modify the curriculum to better reveal the truth of a Creator God.

Didactics of Mathematics as a Scientific Discipline

Didactics of Mathematics as a Scientific Discipline PDF Author: Rolf Biehler
Publisher: Springer Science & Business Media
ISBN: 030647204X
Category : Education
Languages : en
Pages : 459

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Book Description
Didactics of Mathematics as a Scientific Discipline describes the state of the art in a new branch of science. Starting from a general perspective on the didactics of mathematics, the 30 original contributions to the book, drawn from 10 different countries, go on to identify certain subdisciplines and suggest an overall structure or `topology' of the field. The book is divided into eight sections: (1) Preparing Mathematics for Students; (2) Teacher Education and Research on Teaching; (3) Interaction in the Classroom; (4) Technology and Mathematics Education; (5) Psychology of Mathematical Thinking; (6) Differential Didactics; (7) History and Epistemology of Mathematics and Mathematics Education; (8) Cultural Framing of Teaching and Learning Mathematics. Didactics of Mathematics as a Scientific Discipline is required reading for all researchers into the didactics of mathematics, and contains surveys and a variety of stimulating reflections which make it extremely useful for mathematics educators and teacher trainers interested in the theory of their practice. Future and practising teachers of mathematics will find much to interest them in relation to their daily work, especially as it relates to the teaching of different age groups and ability ranges. The book is also recommended to researchers in neighbouring disciplines, such as mathematics itself, general education, educational psychology and cognitive science.

Geometry: The Line and the Circle

Geometry: The Line and the Circle PDF Author: Maureen T. Carroll
Publisher: American Mathematical Soc.
ISBN: 1470448432
Category : Mathematics
Languages : en
Pages : 502

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Book Description
Geometry: The Line and the Circle is an undergraduate text with a strong narrative that is written at the appropriate level of rigor for an upper-level survey or axiomatic course in geometry. Starting with Euclid's Elements, the book connects topics in Euclidean and non-Euclidean geometry in an intentional and meaningful way, with historical context. The line and the circle are the principal characters driving the narrative. In every geometry considered—which include spherical, hyperbolic, and taxicab, as well as finite affine and projective geometries—these two objects are analyzed and highlighted. Along the way, the reader contemplates fundamental questions such as: What is a straight line? What does parallel mean? What is distance? What is area? There is a strong focus on axiomatic structures throughout the text. While Euclid is a constant inspiration and the Elements is repeatedly revisited with substantial coverage of Books I, II, III, IV, and VI, non-Euclidean geometries are introduced very early to give the reader perspective on questions of axiomatics. Rounding out the thorough coverage of axiomatics are concluding chapters on transformations and constructibility. The book is compulsively readable with great attention paid to the historical narrative and hundreds of attractive problems.

Advanced Mathematical Thinking

Advanced Mathematical Thinking PDF Author: David Tall
Publisher: Springer Science & Business Media
ISBN: 0306472031
Category : Education
Languages : en
Pages : 298

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Book Description
This book is the first major study of advanced mathematical thinking as performed by mathematicians and taught to students in senior high school and university. Topics covered include the psychology of advanced mathematical thinking, the processes involved, mathematical creativity, proof, the role of definitions, symbols, and reflective abstraction. It is highly appropriate for the college professor in mathematics or the general mathematics educator.