Author: Karl Pohlhausen
Publisher:
ISBN:
Category : Magnetohydrodynamics
Languages : en
Pages : 124
Book Description
Mathematica Memorabilia
Author: Karl Pohlhausen
Publisher:
ISBN:
Category : Magnetohydrodynamics
Languages : en
Pages : 124
Book Description
Publisher:
ISBN:
Category : Magnetohydrodynamics
Languages : en
Pages : 124
Book Description
Memorabilia Mathematica
Author: Robert Édouard Moritz
Publisher: Mathematical Association of America (MAA)
ISBN:
Category : Mathematics
Languages : en
Pages : 430
Book Description
Publisher: Mathematical Association of America (MAA)
ISBN:
Category : Mathematics
Languages : en
Pages : 430
Book Description
Memorabilia Mathematica
Author: Robert Edouard Moritz
Publisher: Theclassics.Us
ISBN: 9781230267388
Category :
Languages : en
Pages : 140
Book Description
This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1914 edition. Excerpt: ...identical, is as much at home in the art of reasoning as anywhere else: and this is why no science, whether biology or any other, can offer any kind of reasoning, of which mathematics does not supply a simpler and purer counterpart. Thus, we are enabled to eliminate the only remaining portion of the old philosophy which could even appear to offer any real utility; the logical part, the value of which is irrevocably absorbed by mathematical science.--Comte, A. Positive Philosophy, Martineau, (London, 1875), Vol. 1, pp. 321-322. 1316. We know that mathematicians care no more for logic than logicians for mathematics. The two eyes of exact science are mathematics and logic: the mathematical sect puts out the logical eye, the logical sect puts out the mathematical eye; each believing that it can see better with one eye than with two. De Morgan, A. Quoted in F. Cajori: History of Mathematics (New York, 1897), p. 316. 1316. The progress of the art of rational discovery depends in a great part upon the art of characteristic (ars characteristica). The reason why people usually seek demonstrations only in numbers and lines and things represented by these is none other than that there are not, outside of numbers, convenient characters corresponding to the notions.--Leibnitz, G. W. Philosophische Schriften Gerhardt Bd. 8, p. 198. 1317. The influence of the mathematics of Leibnitz upon his philosophy appears chiefly in connection with his law of continuity and his prolonged efforts to establish a Logical Calculus.... To find a Logical Calculus (implying a universal philosophical language or system of signs) is an attempt to apply in theological and philosophical investigations an analytic method analogous to that which had proved so successful in...
Publisher: Theclassics.Us
ISBN: 9781230267388
Category :
Languages : en
Pages : 140
Book Description
This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1914 edition. Excerpt: ...identical, is as much at home in the art of reasoning as anywhere else: and this is why no science, whether biology or any other, can offer any kind of reasoning, of which mathematics does not supply a simpler and purer counterpart. Thus, we are enabled to eliminate the only remaining portion of the old philosophy which could even appear to offer any real utility; the logical part, the value of which is irrevocably absorbed by mathematical science.--Comte, A. Positive Philosophy, Martineau, (London, 1875), Vol. 1, pp. 321-322. 1316. We know that mathematicians care no more for logic than logicians for mathematics. The two eyes of exact science are mathematics and logic: the mathematical sect puts out the logical eye, the logical sect puts out the mathematical eye; each believing that it can see better with one eye than with two. De Morgan, A. Quoted in F. Cajori: History of Mathematics (New York, 1897), p. 316. 1316. The progress of the art of rational discovery depends in a great part upon the art of characteristic (ars characteristica). The reason why people usually seek demonstrations only in numbers and lines and things represented by these is none other than that there are not, outside of numbers, convenient characters corresponding to the notions.--Leibnitz, G. W. Philosophische Schriften Gerhardt Bd. 8, p. 198. 1317. The influence of the mathematics of Leibnitz upon his philosophy appears chiefly in connection with his law of continuity and his prolonged efforts to establish a Logical Calculus.... To find a Logical Calculus (implying a universal philosophical language or system of signs) is an attempt to apply in theological and philosophical investigations an analytic method analogous to that which had proved so successful in...
I, Mathematician
Author: Peter Casazza
Publisher: The Mathematical Association of America
ISBN: 0883855852
Category : Mathematics
Languages : en
Pages : 289
Book Description
Mathematicians have pondered the psychology of the members of our tribe probably since mathematics was invented, but for certain since Hadamard’s The Psychology of Invention in the Mathematical Field. The editors asked two dozen prominent mathematicians (and one spouse thereof) to ruminate on what makes us different. The answers they got are thoughtful, interesting and thought-provoking. Not all respondents addressed the question directly. Michael Atiyah reflects on the tension between truth and beauty in mathematics. T.W. Körner, Alan Schoenfeld and Hyman Bass chose to write, reflectively and thoughtfully, about teaching and learning. Others, including Ian Stewart and Jane Hawkins, write about the sociology of our community. Many of the contributions range into philosophy of mathematics and the nature of our thought processes. Any mathematician will find much of interest here.
Publisher: The Mathematical Association of America
ISBN: 0883855852
Category : Mathematics
Languages : en
Pages : 289
Book Description
Mathematicians have pondered the psychology of the members of our tribe probably since mathematics was invented, but for certain since Hadamard’s The Psychology of Invention in the Mathematical Field. The editors asked two dozen prominent mathematicians (and one spouse thereof) to ruminate on what makes us different. The answers they got are thoughtful, interesting and thought-provoking. Not all respondents addressed the question directly. Michael Atiyah reflects on the tension between truth and beauty in mathematics. T.W. Körner, Alan Schoenfeld and Hyman Bass chose to write, reflectively and thoughtfully, about teaching and learning. Others, including Ian Stewart and Jane Hawkins, write about the sociology of our community. Many of the contributions range into philosophy of mathematics and the nature of our thought processes. Any mathematician will find much of interest here.
Sophie’s Diary
Author: Dora Musielak
Publisher: American Mathematical Society
ISBN: 1470471566
Category : Mathematics
Languages : en
Pages : 293
Book Description
Sophie Germain overcame gender stigmas and a lack of formal education to prove that for all prime exponents less than 100 Case I of Fermat's Last Theorem holds. Hidden behind a man's name, her brilliance as mathematician was first discovered by three of the greatest scholars of the eighteenth century, Lagrange, Gauss, and Legendre. In Sophie's Diary, Germain comes to life through a fictionalized journal that intertwines mathematics with historical descriptions of the brutal events that took place in Paris between 1789 and 1793. This format provides a plausible perspective of how a young Sophie could have learned mathematics on her own—both fascinated by numbers and eager to master tough subjects without a teacher's guidance. Her passion for mathematics is integrated into her personal life as an escape from societal outrage. Sophie's Diary is suitable for a variety of readers—both young and old, mathematicians and novices—who will be inspired and enlightened on a field of study made easy, as told through the intellectual and personal struggles of an exceptional young woman.
Publisher: American Mathematical Society
ISBN: 1470471566
Category : Mathematics
Languages : en
Pages : 293
Book Description
Sophie Germain overcame gender stigmas and a lack of formal education to prove that for all prime exponents less than 100 Case I of Fermat's Last Theorem holds. Hidden behind a man's name, her brilliance as mathematician was first discovered by three of the greatest scholars of the eighteenth century, Lagrange, Gauss, and Legendre. In Sophie's Diary, Germain comes to life through a fictionalized journal that intertwines mathematics with historical descriptions of the brutal events that took place in Paris between 1789 and 1793. This format provides a plausible perspective of how a young Sophie could have learned mathematics on her own—both fascinated by numbers and eager to master tough subjects without a teacher's guidance. Her passion for mathematics is integrated into her personal life as an escape from societal outrage. Sophie's Diary is suitable for a variety of readers—both young and old, mathematicians and novices—who will be inspired and enlightened on a field of study made easy, as told through the intellectual and personal struggles of an exceptional young woman.
Calculus and Its Origins
Author: David Perkins
Publisher: MAA
ISBN: 0883855755
Category : Education
Languages : en
Pages : 181
Book Description
The story of how calculus came to be, accessible to anyone with a basic knowledge of geometry and algebra.
Publisher: MAA
ISBN: 0883855755
Category : Education
Languages : en
Pages : 181
Book Description
The story of how calculus came to be, accessible to anyone with a basic knowledge of geometry and algebra.
In the Dark on the Sunny Side
Author: Lawrence W. Baggett
Publisher: MAA
ISBN: 088385581X
Category : Biography & Autobiography
Languages : en
Pages : 220
Book Description
A memoir that describes the groundbreaking life and career of blind mathematician Larry Baggett, interspersed with musings on mathematics.
Publisher: MAA
ISBN: 088385581X
Category : Biography & Autobiography
Languages : en
Pages : 220
Book Description
A memoir that describes the groundbreaking life and career of blind mathematician Larry Baggett, interspersed with musings on mathematics.
A Historian Looks Back
Author: Judith V. Grabiner
Publisher: MAA
ISBN: 0883855720
Category : Mathematics
Languages : en
Pages : 307
Book Description
An inspiring collection of a historian's work on the history of mathematics.
Publisher: MAA
ISBN: 0883855720
Category : Mathematics
Languages : en
Pages : 307
Book Description
An inspiring collection of a historian's work on the history of mathematics.
Lobachevski Illuminated
Author: Seth Braver
Publisher: American Mathematical Soc.
ISBN: 1470456400
Category : Education
Languages : en
Pages : 227
Book Description
Recipient of the Mathematical Association of America's Beckenbach Book Prize in 2015! Lobachevski Illuminated provides an historical introduction to non-Euclidean geometry. Within its pages, readers will be guided step-by-step through a new translation of Lobachevski's groundbreaking book, The Theory of Parallels. Extensive commentary situates Lobachevski's work in its mathematical, historical, and philosophical context, thus granting readers a vision of the mysterious and beautiful world of non-Euclidean geometry as seen through the eyes of one of its discoverers. Although Lobachevski's 170-year-old text is challenging to read on its own, Seth Braver's carefully arranged “illuminations” render this classic accessible to any modern reader (student, professional, or layman) undaunted by high school mathematics.
Publisher: American Mathematical Soc.
ISBN: 1470456400
Category : Education
Languages : en
Pages : 227
Book Description
Recipient of the Mathematical Association of America's Beckenbach Book Prize in 2015! Lobachevski Illuminated provides an historical introduction to non-Euclidean geometry. Within its pages, readers will be guided step-by-step through a new translation of Lobachevski's groundbreaking book, The Theory of Parallels. Extensive commentary situates Lobachevski's work in its mathematical, historical, and philosophical context, thus granting readers a vision of the mysterious and beautiful world of non-Euclidean geometry as seen through the eyes of one of its discoverers. Although Lobachevski's 170-year-old text is challenging to read on its own, Seth Braver's carefully arranged “illuminations” render this classic accessible to any modern reader (student, professional, or layman) undaunted by high school mathematics.
Remarkable Mathematicians
Author: Ioan James
Publisher: Mathematical Association of America
ISBN: 9780521817776
Category : Mathematics
Languages : en
Pages : 286
Book Description
Ioan James introduces and profiles sixty mathematicians from the era when mathematics was freed from its classical origins to develop into its modern form. The subjects, all born between 1700 and 1910, come from a wide range of countries, and all made important contributions to mathematics, through their ideas, their teaching, and their influence. James emphasizes their varied life stories, not the details of their mathematical achievements. The book is organized chronologically into ten chapters, each of which contains biographical sketches of six mathematicians. The men and women James has chosen to portray are representative of the history of mathematics, such that their stories, when read in sequence, convey in human terms something of the way in which mathematics developed. Ioan James is a professor at the Mathematical Institute, University of Oxford. He is the author of Topological Topics (Cambridge, 1983), Fibrewise Topology (Cambridge, 1989), Introduction to Uniform Spaces (Cambridge, 1990), Topological and Uniform Spaces (Springer-Verlag New York, 1999), and co-author with Michael C. Crabb of Fibrewise Homotopy Theory (Springer-Verlag New York, 1998). James is the former editor of the London Mathematical Society Lecture Note Series and volume editor of numerous books. He is the organizer of the Oxford Series of Topology symposia and other conferences, and co-chairman of the Task Force for Mathematical Sciences of Campaign for Oxford.
Publisher: Mathematical Association of America
ISBN: 9780521817776
Category : Mathematics
Languages : en
Pages : 286
Book Description
Ioan James introduces and profiles sixty mathematicians from the era when mathematics was freed from its classical origins to develop into its modern form. The subjects, all born between 1700 and 1910, come from a wide range of countries, and all made important contributions to mathematics, through their ideas, their teaching, and their influence. James emphasizes their varied life stories, not the details of their mathematical achievements. The book is organized chronologically into ten chapters, each of which contains biographical sketches of six mathematicians. The men and women James has chosen to portray are representative of the history of mathematics, such that their stories, when read in sequence, convey in human terms something of the way in which mathematics developed. Ioan James is a professor at the Mathematical Institute, University of Oxford. He is the author of Topological Topics (Cambridge, 1983), Fibrewise Topology (Cambridge, 1989), Introduction to Uniform Spaces (Cambridge, 1990), Topological and Uniform Spaces (Springer-Verlag New York, 1999), and co-author with Michael C. Crabb of Fibrewise Homotopy Theory (Springer-Verlag New York, 1998). James is the former editor of the London Mathematical Society Lecture Note Series and volume editor of numerous books. He is the organizer of the Oxford Series of Topology symposia and other conferences, and co-chairman of the Task Force for Mathematical Sciences of Campaign for Oxford.