Sophie Germain

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Nothing Stopped Sophie

Cheryl Bardoe
Nothing Stopped Sophie Book PDF

Author : Cheryl Bardoe
Publisher : Little, Brown Books for Young Readers
Page : 40 pages
File Size : 44,7 Mb
Release : 2018-06-12
Category : Juvenile Nonfiction
ISBN : 9780316394291

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Nothing Stopped Sophie by Cheryl Bardoe Pdf

The true story of eighteenth-century mathematician Sophie Germain, who solved the unsolvable to achieve her dream. When her parents took away her candles to keep their young daughter from studying math...nothing stopped Sophie. When a professor discovered that the homework sent to him under a male pen name came from a woman...nothing stopped Sophie. And when she tackled a math problem that male scholars said would be impossible to solve...still, nothing stopped Sophie. For six years Sophie Germain used her love of math and her undeniable determination to test equations that would predict patterns of vibrations. She eventually became the first woman to win a grand prize from France's prestigious Academy of Sciences for her formula, which laid the groundwork for much of modern architecture (and can be seen in the book's illustrations). Award-winning author Cheryl Bardoe's inspiring and poetic text is brought to life by acclaimed artist Barbara McClintock's intricate pen-and-ink, watercolor, and collage illustrations in this true story about a woman who let nothing stop her.

Sophie Germain

L.L. Bucciarelli,N. Dworsky
Sophie Germain Book PDF

Author : L.L. Bucciarelli,N. Dworsky
Publisher : Springer Science & Business Media
Page : 157 pages
File Size : 44,9 Mb
Release : 2012-12-06
Category : History
ISBN : 9789400990517

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Sophie Germain by L.L. Bucciarelli,N. Dworsky Pdf

Why should the story of a woman's role in the development of a scientific theory be written? Is it to celebrate, as some have done, the heroism of a woman's struggle in a man's world? Or is it, rather~to demonstrate that gender is irrelevant to the march of scientific ideas? This book hopes to do neither. Rather, it intends to do justice both to the professional life of a woman in science and to the development of the theory with which she was engaged. Technically, this essay centers on Sophie Germain's analysis of the modes of vibration of elastic surfaces, work which won a competition set by the French Academy of Sciences in 1809. It also evaluates related work on the mathematical theory of elasticity done by men of the Academy. Biographically, it is about a woman who believed in the greatness of science and strove, with some measure of success, to participate in that noble, but wholly male-dominated, enterprise. It explores her failures, analyzes her success, and describes how the members of the Parisian scientific community dealt with her offerings, contributions and demands.

Sophie Germain

Dora Musielak
Sophie Germain Book PDF

Author : Dora Musielak
Publisher : Springer Nature
Page : 261 pages
File Size : 55,5 Mb
Release : 2020-03-23
Category : Mathematics
ISBN : 9783030383756

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Sophie Germain by Dora Musielak Pdf

This biography of the mathematician, Sophie Germain, paints a rich portrait of a brilliant and complex woman, the mathematics she developed, her associations with Gauss, Legendre, and other leading researchers, and the tumultuous times in which she lived. Sophie Germain stood right between Gauss and Legendre, and both publicly recognized her scientific efforts. Unlike her female predecessors and contemporaries, Sophie Germain was an impressive mathematician and made lasting contributions to both number theory and the theories of plate vibrations and elasticity. She was able to walk with ease across the bridge between the fields of pure mathematics and engineering physics. Though isolated and snubbed by her peers, Sophie Germain was the first woman to win the prize of mathematics from the French Academy of Sciences. She is the only woman who contributed to the proof of Fermat’s Last Theorem. In this unique biography, Dora Musielak has done the impossible―she has chronicled Sophie Germain’s brilliance through her life and work in mathematics, in a way that is simultaneously informative, comprehensive, and accurate.

Sophie Germain

Stephen Ornes
Sophie Germain Book PDF

Author : Stephen Ornes
Publisher : Morgan Reynolds Publishing
Page : 0 pages
File Size : 52,5 Mb
Release : 2008
Category : Mathematicians
ISBN : 1599350629

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Sophie Germain by Stephen Ornes Pdf

Sophie Germain was born with a natural talent and a love for mathematics-but she was also born at a time when it was deemed unacceptable for a woman to pursue serious intellectual study. She was determined, though, and would not let anything stand in her pursuit of mathematics. Through coincidence and ingenuity, Germain managed to pursue an education at a prestigious institution under an assumed name, then upon discovery, won over many doubters with her skill and passion. It was a problem involving vibrating plates, though, in which Germain found her greatest challenge. She spent years trying to explain natural phenomena with mathematics, persevering against failures and prejudice, ultimately opening a new branch of applied mathematics and securing her place in history. Book jacket.

Disquisitiones Arithmeticae

Carl Friedrich Gauss,William C. Waterhouse
Disquisitiones Arithmeticae Book PDF

Author : Carl Friedrich Gauss,William C. Waterhouse
Publisher : Springer
Page : 472 pages
File Size : 47,6 Mb
Release : 2018-02-07
Category : Mathematics
ISBN : 9781493975600

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Disquisitiones Arithmeticae by Carl Friedrich Gauss,William C. Waterhouse Pdf

Carl Friedrich Gauss’s textbook, Disquisitiones arithmeticae, published in 1801 (Latin), remains to this day a true masterpiece of mathematical examination. .

Prime Mystery

Dora E. Musielak
Prime Mystery Book PDF

Author : Dora E. Musielak
Publisher : Unknown
Page : 294 pages
File Size : 52,9 Mb
Release : 2015-01-23
Category : Biography & Autobiography
ISBN : 1496965027

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Prime Mystery by Dora E. Musielak Pdf

Discovered by Lagrange, Sophie Germain (1776-1831) stood right between Gauss and Legendre, and both publicly recognized her scientific efforts. Unlike her female predecessors and contemporaries, Sophie Germain was an impressive mathematician and made lasting contributions to both number theory and the theories of vibration and elasticity. She was able to walk with ease across the bridge between the fields of pure mathematics and engineering physics. Though isolated and snubbed by her peers, she almost single-handedly changed the notion of the woman scholar. Sophie Germain was the first woman to win the prize of mathematics from the French Academy of Sciences. She is also the first and only woman who contributed to the proof of Fermat's Last Theorem. Prime Mystery: The Life and Mathematics of Sophie Germain paints a rich portrait of the brilliant and complex woman, including the mathematics she developed, her associations with Gauss, Legendre, and other leading researchers, and the tumultuous times in which she lived. In Prime Mystery, author Dora Musielak has done the impossible. She has chronicled Sophie Germain's brilliance through her life and work in mathematics, in a way that is simultaneously informative, comprehensive, and accurate.

Sophie’s Diary

Dora Musielak
Sophie s Diary Book PDF

Author : Dora Musielak
Publisher : American Mathematical Society
Page : 293 pages
File Size : 50,8 Mb
Release : 2022-08-11
Category : Mathematics
ISBN : 9781470471569

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Sophie’s Diary by Dora Musielak Pdf

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.

Number Theory Through the Eyes of Sophie Germain

David Pengelley
Number Theory Through the Eyes of Sophie Germain Book PDF

Author : David Pengelley
Publisher : American Mathematical Society
Page : 216 pages
File Size : 53,7 Mb
Release : 2023-06-29
Category : Mathematics
ISBN : 9781470472207

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Number Theory Through the Eyes of Sophie Germain by David Pengelley Pdf

Number Theory Through the Eyes of Sophie Germain: An Inquiry Course is an innovative textbook for an introductory number theory course. Sophie Germain (1776–1831) was largely self-taught in mathematics and, two centuries ago, in solitude, devised and implemented a plan to prove Fermat's Last Theorem. We have only recently completely understood this work from her unpublished letters and manuscripts. David Pengelley has been a driving force in unraveling this mystery and here he masterfully guides his readers along a path of discovery. Germain, because of her circumstances as the first woman to do important original mathematical research, was forced to learn most of what we now include in an undergraduate number theory course for herself. Pengelley has taken excerpts of her writings (and those of others) and, by asking his readers to decipher them, skillfully leads us through an inquiry-based course in elementary number theory. It is a detective story on multiple levels. What is Sophie Germain thinking? What do her mathematical writings mean? How do we understand what she knew and what she was trying to do, where she succeeded and where she didn't? Number Theory Through the Eyes of Sophie Germainis simultaneously a masterpiece of historical scholarship, a guide to reading and teaching from primary-source historical documents, an inquiry-based textbook for introductory number theory, and the riveting story of a major, but still unappreciated, mathematician. Work is required of the reader. Readers are carefully guided to discover and prove almost all results for themselves in a sequence of scaffolded exploratory tasks with hints, fully integrated with the narrative. The difficulty of the inquiry tasks varies considerably, but the author provides the reader with appropriately helpful guidance at every step. An introductory number theory course taught with this text would be a remarkable, potentially life-changing, experience. —Stephen Kennedy, Carleton College and MAA Press

Complexities

Bettye Anne Case,Anne M. Leggett
Complexities Book PDF

Author : Bettye Anne Case,Anne M. Leggett
Publisher : Princeton University Press
Page : 455 pages
File Size : 41,7 Mb
Release : 2016-05-31
Category : Mathematics
ISBN : 9780691171098

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Complexities by Bettye Anne Case,Anne M. Leggett Pdf

Sophie Germain taught herself mathematics by candlelight, huddled in her bedclothes. Ada Byron Lovelace anticipated aspects of general-purpose digital computing by more than a century. Cora Ratto de Sadosky advanced messages of tolerance and equality while sharing her mathematical talents with generations of students. This captivating book gives voice to women mathematicians from the late eighteenth century through to the present day. It documents the complex nature of the conditions women around the world have faced--and continue to face--while pursuing their careers in mathematics. The stories of the three women above and those of many more appear here, each one enlightening and inspiring. The earlier parts of the book provide historical context and perspective, beginning with excursions into the lives of fifteen women born before 1920. Included are histories of collective efforts to improve women's opportunities in research mathematics. In addition, a photo essay puts a human face on the subject as it illustrates women's contributions in professional associations. More than eighty women from academe, government, and the private sector provide a rich mélange of insights and strategies for creating workable career paths while maintaining rewarding personal lives. The book discusses related social and cultural issues, and includes a summary of recent comparative data relating to women and men in mathematics and women from other sciences. First-person accounts provide explicit how-tos; many narratives demonstrate great determination and perseverance. Talented women vividly portray their pleasure in discovering new mathematics. The senior among them speak out candidly, interweaving their mathematics with autobiographical detail. At the beginning of a new century, women at all stages of their careers share their outlooks and experiences. Clear, engaging, and meticulously researched, Complexities will inspire young women who are contemplating careers in mathematics and will speak to women in many fields of endeavor and walks of life.

Time-Out for Sophie

Rosemary Wells
Time Out for Sophie Book PDF

Author : Rosemary Wells
Publisher : Viking Books for Young Readers
Page : 26 pages
File Size : 42,5 Mb
Release : 2015-10-06
Category : Animal behavior
ISBN : 9780451477668

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Time-Out for Sophie by Rosemary Wells Pdf

Although Sophie wants to be helpful and good, sometimes she ignores her mother, father, and grandmother and must have a time-out.

Fermat’s Last Theorem

Simon Singh
Fermat s Last Theorem Book PDF

Author : Simon Singh
Publisher : HarperCollins UK
Page : 368 pages
File Size : 47,6 Mb
Release : 2012-11-22
Category : Science
ISBN : 9780007381999

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Fermat’s Last Theorem by Simon Singh Pdf

‘I have a truly marvellous demonstration of this proposition which this margin is too narrow to contain.’

Mathematics of Public Key Cryptography

Steven D. Galbraith
Mathematics of Public Key Cryptography Book PDF

Author : Steven D. Galbraith
Publisher : Cambridge University Press
Page : 631 pages
File Size : 44,5 Mb
Release : 2012-03-15
Category : Computers
ISBN : 9781107013926

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Mathematics of Public Key Cryptography by Steven D. Galbraith Pdf

This advanced graduate textbook gives an authoritative and insightful description of the major ideas and techniques of public key cryptography.

Stream Ciphers and Number Theory

Thomas W. Cusick,Cunsheng Ding,Ari R. Renvall
Stream Ciphers and Number Theory Book PDF

Author : Thomas W. Cusick,Cunsheng Ding,Ari R. Renvall
Publisher : Gulf Professional Publishing
Page : 502 pages
File Size : 49,7 Mb
Release : 2004-02-17
Category : Language Arts & Disciplines
ISBN : 044451631X

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Stream Ciphers and Number Theory by Thomas W. Cusick,Cunsheng Ding,Ari R. Renvall Pdf

This is the unique book on cross-fertilisations between stream ciphers and number theory. It systematically and comprehensively covers known connections between the two areas that are available only in research papers. Some parts of this book consist of new research results that are not available elsewhere. In addition to exercises, over thirty research problems are presented in this book. In this revised edition almost every chapter was updated, and some chapters were completely rewritten. It is useful as a textbook for a graduate course on the subject, as well as a reference book for researchers in related fields. · Unique book on interactions of stream ciphers and number theory. · Research monograph with many results not available elsewhere. · A revised edition with the most recent advances in this subject. · Over thirty research problems for stimulating interactions between the two areas. · Written by leading researchers in stream ciphers and number theory.

Prime Suspects

Andrew Granville,Jennifer Granville
Prime Suspects Book PDF

Author : Andrew Granville,Jennifer Granville
Publisher : Princeton University Press
Page : 233 pages
File Size : 41,8 Mb
Release : 2019-08-06
Category : Mathematics
ISBN : 9780691188737

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Prime Suspects by Andrew Granville,Jennifer Granville Pdf

An outrageous graphic novel that investigates key concepts in mathematics Integers and permutations—two of the most basic mathematical objects—are born of different fields and analyzed with separate techniques. Yet when the Mathematical Sciences Investigation team of crack forensic mathematicians, led by Professor Gauss, begins its autopsies of the victims of two seemingly unrelated homicides, Arnie Integer and Daisy Permutation, they discover the most extraordinary similarities between the structures of each body. Prime Suspects is a graphic novel that takes you on a voyage of forensic discovery, exploring some of the most fundamental ideas in mathematics. Travel with Detective von Neumann as he leaves no clue unturned, from shepherds’ huts in the Pyrenees to secret societies in the cafés of Paris, from the hidden codes in the music of the stones to the grisly discoveries in Finite Fields. Tremble at the ferocity of the believers in deep and rigid abstraction. Feel the frustration—and the excitement—of our young heroine, Emmy Germain, as she blazes a trail for women in mathematical research and learns from Professor Gauss, the greatest forensic detective of them all. Beautifully drawn and exquisitely detailed, Prime Suspects is unique, astonishing, and witty—a once-in-a-lifetime opportunity to experience mathematics like never before.

Stability and Stabilization of Linear Systems with Saturating Actuators

Sophie Tarbouriech,Germain Garcia,João Manoel Gomes da Silva Jr.,Isabelle Queinnec
Stability and Stabilization of Linear Systems with Saturating Actuators Book PDF

Author : Sophie Tarbouriech,Germain Garcia,João Manoel Gomes da Silva Jr.,Isabelle Queinnec
Publisher : Springer Science & Business Media
Page : 441 pages
File Size : 53,9 Mb
Release : 2011-08-13
Category : Technology & Engineering
ISBN : 9780857299413

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Stability and Stabilization of Linear Systems with Saturating Actuators by Sophie Tarbouriech,Germain Garcia,João Manoel Gomes da Silva Jr.,Isabelle Queinnec Pdf

This monograph details basic concepts and tools fundamental for the analysis and synthesis of linear systems subject to actuator saturation and developments in recent research. The authors use a state-space approach and focus on stability analysis and the synthesis of stabilizing control laws in both local and global contexts. Different methods of modeling the saturation and behavior of the nonlinear closed-loop system are given special attention. Various kinds of Lyapunov functions are considered to present different stability conditions. Results arising from uncertain systems and treating performance in the presence of saturation are given. The text proposes methods and algorithms, based on the use of linear programming and linear matrix inequalities, for computing estimates of the basin of attraction and for designing control systems accounting for the control bounds and the possibility of saturation. They can be easily implemented with mathematical software packages.