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Remembering Sofya Kovalevskaya

Author: Michèle Audin
Publisher: Springer Science & Business Media
ISBN: 0857299298
Size: 19.78 MB
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Sofia Kovalevskaya was a brilliant and determined young Russian woman of the 19th century who wanted to become a mathematician and who succeeded, in often difficult circumstances, in becoming arguably the first woman to have a professional university career in the way we understand it today. This memoir, written by a mathematician who specialises in symplectic geometry and integrable systems, is a personal exploration of the life, the writings and the mathematical achievements of a remarkable woman. It emphasises the originality of Kovalevskaya’s work and assesses her legacy and reputation as a mathematician and scientist. Her ideas are explained in a way that is accessible to a general audience, with diagrams, marginal notes and commentary to help explain the mathematical concepts and provide context. This fascinating book, which also examines Kovalevskaya’s love of literature, will be of interest to historians looking for a treatment of the mathematics, and those doing feminist or gender studies.

The Best Writing On Mathematics 2012

Author: Mircea Pitici
Publisher: Princeton University Press
ISBN: 0691156557
Size: 63.23 MB
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Collects essays on mathematics, from the mathematical aspects of origami and the mathematics of dating to the frequency and distribution of prime numbers and a ball in five dimensions.

The Best Writing On Mathematics 2017

Author: Mircea Pitici
Publisher: Princeton University Press
ISBN: 1400888557
Size: 31.57 MB
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The year's finest mathematics writing from around the world This annual anthology brings together the year’s finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2017 makes available to a wide audience many articles not easily found anywhere else—and you don’t need to be a mathematician to enjoy them. These writings offer surprising insights into the nature, meaning, and practice of mathematics today. They delve into the history, philosophy, teaching, and everyday occurrences of math, and take readers behind the scenes of today’s hottest mathematical debates. Here Evelyn Lamb describes the excitement of searching for incomprehensibly large prime numbers, Jeremy Gray speculates about who would have won math’s highest prize—the Fields Medal—in the nineteenth century, and Philip Davis looks at mathematical results and artifacts from a business and marketing viewpoint. In other essays, Noson Yanofsky explores the inherent limits of knowledge in mathematical thinking, Jo Boaler and Lang Chen reveal why finger-counting enhances children’s receptivity to mathematical ideas, and Carlo Séquin and Raymond Shiau attempt to discover how the Renaissance painter Fra Luca Pacioli managed to convincingly depict his famous rhombicuboctahedron, a twenty-six-sided Archimedean solid. And there’s much, much more. In addition to presenting the year’s most memorable writings on mathematics, this must-have anthology includes a bibliography of other notable writings and an introduction by the editor, Mircea Pitici. This book belongs on the shelf of anyone interested in where math has taken us—and where it is headed.

Inventing The Mathematician

Author: Sara N. Hottinger
Publisher: SUNY Press
ISBN: 1438460112
Size: 47.47 MB
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Considers how our ideas about mathematics shape our individual and cultural relationship to the field. Where and how do we, as a culture, get our ideas about mathematics and about who can engage with mathematical knowledge? Sara N. Hottinger uses a cultural studies approach to address how our ideas about mathematics shape our individual and cultural relationship to the field. She considers four locations in which representations of mathematics contribute to our cultural understanding of mathematics: mathematics textbooks, the history of mathematics, portraits of mathematicians, and the field of ethnomathematics. Hottinger examines how these discourses shape mathematical subjectivity by limiting the way some groups—including women and people of color—are able to see themselves as practitioners of math. Inventing the Mathematician provides a blueprint for how to engage in a deconstructive project, revealing the limited and problematic nature of the normative construction of mathematical subjectivity.


Author: Michele Audin
Publisher: Springer Science & Business Media
ISBN: 3642561276
Size: 12.23 MB
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Geometry, this very ancient field of study of mathematics, frequently remains too little familiar to students. Michle Audin, professor at the University of Strasbourg, has written a book allowing them to remedy this situation and, starting from linear algebra, extend their knowledge of affine, Euclidean and projective geometry, conic sections and quadrics, curves and surfaces. It includes many nice theorems like the nine-point circle, Feuerbach's theorem, and so on. Everything is presented clearly and rigourously. Each property is proved, examples and exercises illustrate the course content perfectly. Precise hints for most of the exercises are provided at the end of the book. This very comprehensive text is addressed to students at upper undergraduate and Master's level to discover geometry and deepen their knowledge and understanding.

Beyond The Limit

Author: Joan Spicci
Publisher: Macmillan
ISBN: 9781429981002
Size: 80.18 MB
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Beyond the Limit, a novel researched for more than ten years by mathematician and educator Joan Spicci, is the true story of Sofya Kovalevskaya's remarkable personal journey, from the constricted life of a teenage girl in St. Petersburg to the triumph of becoming the first woman to earn a doctorate in mathematics and join the ranks of Europe's great mathematicians of the nineteenth century. For more than one hundred years, Kovalevskaya's struggle has inspired women of all nations to fight for educational opportunities equal to those available to men. But while she is known for the science and mathematics Opportunity Days sponsored in her name at major universities, the full drama and power of her life has never been told as it now unfolds in this thoroughly researched novel. Based on Kovalevskaya's own writings, and many other primary sources, the story of her life plays out against a panorama of the turbulent, intellectually challenging 1860s and 1870s, as it follows a brilliant, complex woman on a quest that seems almost impossible to imagine, more than a century later. Friends with some of the intellectual giants of her time, ranging from Dostoevsky to Darwin, she was the equal of them all, as chronicled in this extraordinary work. In the Russia of the 1860s, young women did as their fathers bid them, and after marriage was arranged, they did what their husbands told them to do. But Sofya Krukovskaya was different. Born to a family in which science and mathematics were already part of its heritage, Sofya takes every opportunity to learn more about mathematics in tutoring sessions. But her tutors know that if she is to realize her potential, she must study at a university. In order to do that, she lies to her family and makes a marriage of convenience with archaeologist Vladimir Kovalevsky, enabling her and her sister Anya to leave Russia and seek education at a German university. However, leaving Russia is only the first hurdle she must vault to pursue her dream of becoming Europe's first woman mathematician. When she applies for admission, she is refused by stubbornly prejudiced university officials, forcing her to study covertly with the great mathematician Karl Weierstrass, under whose guidance she is at last able to gain her doctorate. Very close to her sister Anya, a talented writer whose revolutionary fervor takes her to the powder keg of the Paris Commune of 1871, more than once Sofya has to forsake her own goals to save Anya from ruin, and even death. Married in name only for many years, Sofya and Vladimir have a complex, volatile relationship. Loving each other, they're forced by the needs of their careers to withstand long separations and other trials. Across Europe, through tragedy and finally triumph, their story is richly told against the backdrop of history. Mathematician and educator Joan Spicci's compelling narrative accurately documents Sofya's educational and professional struggle, in Beyond the Limit. This fascinating, intimate portrait of Sofya Kovalevskaya's life confronts issues of women's rights and feminism that continue to face women who pursue careers in the sciences in the twenty-first century. At the publisher's request, this title is being sold without Digital Rights Management software (DRM) applied.

Essential Mathematical Biology

Author: Nicholas F. Britton
Publisher: Springer Science & Business Media
ISBN: 1447100492
Size: 23.21 MB
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This self-contained introduction to the fast-growing field of Mathematical Biology is written for students with a mathematical background. It sets the subject in a historical context and guides the reader towards questions of current research interest. A broad range of topics is covered including: Population dynamics, Infectious diseases, Population genetics and evolution, Dispersal, Molecular and cellular biology, Pattern formation, and Cancer modelling. Particular attention is paid to situations where the simple assumptions of homogenity made in early models break down and the process of mathematical modelling is seen in action.

Sonya Kovalevsky Her Recollections Of Childhood

Author: HardPress
Publisher: Hardpress Publishing
ISBN: 9781314492200
Size: 46.74 MB
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Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.

Many Body Boson Systems

Author: André F. Verbeure
Publisher: Springer
ISBN: 9780857291097
Size: 55.94 MB
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This book offers a modern way of dealing with the problems of equilibrium states of Bose systems. Starting with the variation principle of statistical mechanics and the energy-entropy balance principle as equilibrium criteria, results for general boson systems and models are explicitly derived using simple functional analytic calculus. Bridging the gap between general theoretical physics and the phenomenological research in the field of Bose systems, this book provides an insight into the fascinating quantum world of bosons. Key topics include the occurrence of BEC and its intimate structural relation with the phenomena of spontaneous symmetry breaking and off-diagonal long range order; the condensate equation; the issue concerning the choice of boundary conditions; solvable versus non-solvable boson models; the set of quasi-free boson states; the role of dissipative perturbations; and the surprising but general relation between general quantum fluctuations and boson systems. Only some knowledge of quantum mechanics and undergraduate algebra and analysis is assumed. This textbook brings students and researchers smoothly from general concepts to vivid applications.