Author: Évariste Galois
Publisher: European Mathematical Society
ISBN: 9783037191040
Category : Mathematics
Languages : en
Pages : 426
Book Description
Before he died at the age of twenty, shot in a mysterious early-morning duel at the end of May 1832, Evariste Galois created mathematics that changed the direction of algebra. This book contains English translations of almost all the Galois material. The translations are presented alongside a new transcription of the original French and are enhanced by three levels of commentary. An introduction explains the context of Galois' work, the various publications in which it appears, and the vagaries of his manuscripts. Then there is a chapter in which the five mathematical articles published in his lifetime are reprinted. After that come the testamentary letter and the first memoir (in which Galois expounded on the ideas that led to Galois Theory), which are the most famous of the manuscripts. These are followed by the second memoir and other lesser known manuscripts. This book makes available to a wide mathematical and historical readership some of the most exciting mathematics of the first half of the nineteenth century, presented in its original form. The primary aim is to establish a text of what Galois wrote. The details of what he did, the proper evidence of his genius, deserve to be well understood and appreciated by mathematicians as well as historians of mathematics.
The Mathematical Writings of Évariste Galois
Author: Évariste Galois
Publisher: European Mathematical Society
ISBN: 9783037191040
Category : Mathematics
Languages : en
Pages : 426
Book Description
Before he died at the age of twenty, shot in a mysterious early-morning duel at the end of May 1832, Evariste Galois created mathematics that changed the direction of algebra. This book contains English translations of almost all the Galois material. The translations are presented alongside a new transcription of the original French and are enhanced by three levels of commentary. An introduction explains the context of Galois' work, the various publications in which it appears, and the vagaries of his manuscripts. Then there is a chapter in which the five mathematical articles published in his lifetime are reprinted. After that come the testamentary letter and the first memoir (in which Galois expounded on the ideas that led to Galois Theory), which are the most famous of the manuscripts. These are followed by the second memoir and other lesser known manuscripts. This book makes available to a wide mathematical and historical readership some of the most exciting mathematics of the first half of the nineteenth century, presented in its original form. The primary aim is to establish a text of what Galois wrote. The details of what he did, the proper evidence of his genius, deserve to be well understood and appreciated by mathematicians as well as historians of mathematics.
Publisher: European Mathematical Society
ISBN: 9783037191040
Category : Mathematics
Languages : en
Pages : 426
Book Description
Before he died at the age of twenty, shot in a mysterious early-morning duel at the end of May 1832, Evariste Galois created mathematics that changed the direction of algebra. This book contains English translations of almost all the Galois material. The translations are presented alongside a new transcription of the original French and are enhanced by three levels of commentary. An introduction explains the context of Galois' work, the various publications in which it appears, and the vagaries of his manuscripts. Then there is a chapter in which the five mathematical articles published in his lifetime are reprinted. After that come the testamentary letter and the first memoir (in which Galois expounded on the ideas that led to Galois Theory), which are the most famous of the manuscripts. These are followed by the second memoir and other lesser known manuscripts. This book makes available to a wide mathematical and historical readership some of the most exciting mathematics of the first half of the nineteenth century, presented in its original form. The primary aim is to establish a text of what Galois wrote. The details of what he did, the proper evidence of his genius, deserve to be well understood and appreciated by mathematicians as well as historians of mathematics.
Economic Fallacies
Author: Frederic Bastiat
Publisher: Simon Publications
ISBN: 9781931541022
Category : Business & Economics
Languages : en
Pages : 0
Book Description
This book, written by the celebrated nineteenth century French economist propagating free trade, reads as it was written yesterday.
Publisher: Simon Publications
ISBN: 9781931541022
Category : Business & Economics
Languages : en
Pages : 0
Book Description
This book, written by the celebrated nineteenth century French economist propagating free trade, reads as it was written yesterday.
Conceptual Basis, Formalisations and Parameterization of the Stics Crop Model
Author: Nadine Brisson
Publisher: Editions Quae
ISBN: 2759201694
Category : Technology & Engineering
Languages : en
Pages : 300
Book Description
The STICS crop model has been developed since 1996 at INRA in collaboration with other research and technical institutes. The model syntheses, illustrates and concretizes an important part of the French agronomic knowledge as a point of view on the field and cropping systems working. The formalisations of the STICS crop model presented in this book can be considered as references used in the framework of crop sciences. The book arrangement relies on the way the model designs the crop-soil system functioning, each chapter being devoted to a set of important functions such as growth initiation, yield onset, water uptake, transformation of organic matter etc. One chapter deals with the cropping system and long term simulations and the final chapter is about the involvement of the user in terms of option choices and parameterization. If this book is mainly intended for scientists who use the STICS model, it can also be useful for agronomists, crop modellers, students and technicians looking for elementary formalizations of the crop-soil system functioning.
Publisher: Editions Quae
ISBN: 2759201694
Category : Technology & Engineering
Languages : en
Pages : 300
Book Description
The STICS crop model has been developed since 1996 at INRA in collaboration with other research and technical institutes. The model syntheses, illustrates and concretizes an important part of the French agronomic knowledge as a point of view on the field and cropping systems working. The formalisations of the STICS crop model presented in this book can be considered as references used in the framework of crop sciences. The book arrangement relies on the way the model designs the crop-soil system functioning, each chapter being devoted to a set of important functions such as growth initiation, yield onset, water uptake, transformation of organic matter etc. One chapter deals with the cropping system and long term simulations and the final chapter is about the involvement of the user in terms of option choices and parameterization. If this book is mainly intended for scientists who use the STICS model, it can also be useful for agronomists, crop modellers, students and technicians looking for elementary formalizations of the crop-soil system functioning.
Our Fathers Have Told Us
Author: John Ruskin
Publisher: Andesite Press
ISBN: 9781297790614
Category :
Languages : en
Pages : 338
Book Description
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Publisher: Andesite Press
ISBN: 9781297790614
Category :
Languages : en
Pages : 338
Book Description
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
The École Royale Militaire
Author: Haroldo A. Guízar
Publisher: Springer Nature
ISBN: 3030459314
Category : History
Languages : en
Pages : 313
Book Description
This book explores the Paris Ecole Militaire as an institution, arguing for its importance as a school that presented itself as a model for reform during a key moment in the movement towards military professionalism as well as state-run secular education. The school is distinguished for being an Enlightenment project, one of its founders publishing an article on it in the Encyclopédie in 1755. Its curriculum broke completely with the Latin pedagogy of the dominant Jesuit system, while adapting the legacy of seventeenth-century riding academies. Its status touches on the nature of absolutism, as it was conceived to glorify the Bourbon dynasty in a similar way to the girls’ school at Saint Cyr and the Invalides. It was also a dispensary of royal charity calculated to ally the nobility more closely to royal interests through military service. In the army, its proofs of nobility were the model for the much debated 1781 Ségur decree, often described as a notable cause of the French Revolution.
Publisher: Springer Nature
ISBN: 3030459314
Category : History
Languages : en
Pages : 313
Book Description
This book explores the Paris Ecole Militaire as an institution, arguing for its importance as a school that presented itself as a model for reform during a key moment in the movement towards military professionalism as well as state-run secular education. The school is distinguished for being an Enlightenment project, one of its founders publishing an article on it in the Encyclopédie in 1755. Its curriculum broke completely with the Latin pedagogy of the dominant Jesuit system, while adapting the legacy of seventeenth-century riding academies. Its status touches on the nature of absolutism, as it was conceived to glorify the Bourbon dynasty in a similar way to the girls’ school at Saint Cyr and the Invalides. It was also a dispensary of royal charity calculated to ally the nobility more closely to royal interests through military service. In the army, its proofs of nobility were the model for the much debated 1781 Ségur decree, often described as a notable cause of the French Revolution.
From Cardano's Great Art to Lagrange's Reflections
Author: Jacqueline A. Stedall
Publisher: European Mathematical Society
ISBN: 9783037190920
Category : Mathematics
Languages : en
Pages : 244
Book Description
This book is an exploration of a claim made by Lagrange in the autumn of 1771 as he embarked upon his lengthy ``Reflexions sur la resolution algebrique des equations'': that there had been few advances in the algebraic solution of equations since the time of Cardano in the mid sixteenth century. That opinion has been shared by many later historians. The present study attempts to redress that view and to examine the intertwined developments in the theory of equations from Cardano to Lagrange. A similar historical exploration led Lagrange himself to insights that were to transform the entire nature and scope of algebra. Progress was not confined to any one country: at different times mathematicians in Italy, France, the Netherlands, England, Scotland, Russia, and Germany contributed to the discussion and to a gradual deepening of understanding. In particular, the national Academies of Berlin, St. Petersburg, and Paris in the eighteenth century were crucial in supporting informed mathematical communities and encouraging the wider dissemination of key ideas. This study therefore truly highlights the existence of a European mathematical heritage. The book is written in three parts. Part I offers an overview of the period from Cardano to Newton (1545 to 1707) and is arranged chronologically. Part II covers the period from Newton to Lagrange (1707 to 1771) and treats the material according to key themes. Part III is a brief account of the aftermath of the discoveries made in the 1770s. The book attempts throughout to capture the reality of mathematical discovery by inviting the reader to follow in the footsteps of the authors themselves, with as few changes as possible to the original notation and style of presentation.
Publisher: European Mathematical Society
ISBN: 9783037190920
Category : Mathematics
Languages : en
Pages : 244
Book Description
This book is an exploration of a claim made by Lagrange in the autumn of 1771 as he embarked upon his lengthy ``Reflexions sur la resolution algebrique des equations'': that there had been few advances in the algebraic solution of equations since the time of Cardano in the mid sixteenth century. That opinion has been shared by many later historians. The present study attempts to redress that view and to examine the intertwined developments in the theory of equations from Cardano to Lagrange. A similar historical exploration led Lagrange himself to insights that were to transform the entire nature and scope of algebra. Progress was not confined to any one country: at different times mathematicians in Italy, France, the Netherlands, England, Scotland, Russia, and Germany contributed to the discussion and to a gradual deepening of understanding. In particular, the national Academies of Berlin, St. Petersburg, and Paris in the eighteenth century were crucial in supporting informed mathematical communities and encouraging the wider dissemination of key ideas. This study therefore truly highlights the existence of a European mathematical heritage. The book is written in three parts. Part I offers an overview of the period from Cardano to Newton (1545 to 1707) and is arranged chronologically. Part II covers the period from Newton to Lagrange (1707 to 1771) and treats the material according to key themes. Part III is a brief account of the aftermath of the discoveries made in the 1770s. The book attempts throughout to capture the reality of mathematical discovery by inviting the reader to follow in the footsteps of the authors themselves, with as few changes as possible to the original notation and style of presentation.
Life of Petrarch
Author: Ernest Hatch Wilkins
Publisher:
ISBN:
Category : Literary Criticism
Languages : en
Pages : 296
Book Description
Biography of the 14th century Italian scholar.
Publisher:
ISBN:
Category : Literary Criticism
Languages : en
Pages : 296
Book Description
Biography of the 14th century Italian scholar.
Pangeometry
Author: Nikolaĭ Ivanovich Lobachevskiĭ
Publisher: European Mathematical Society
ISBN: 9783037190876
Category : Mathematics
Languages : en
Pages : 332
Book Description
Lobachevsky wrote Pangeometry in 1855, the year before his death. This memoir is a resume of his work on non-Euclidean geometry and its applications and can be considered his clearest account on the subject. It is also the conclusion of his life's work and the last attempt he made to acquire recognition. The treatise contains basic ideas of hyperbolic geometry, including the trigonometric formulae, the techniques of computation of arc length, of area and of volume, with concrete examples. It also deals with the applications of hyperbolic geometry to the computation of new definite integrals. The techniques are different from those found in most modern books on hyperbolic geometry since they do not use models. Besides its historical importance, Lobachevsky's Pangeometry is a beautiful work, written in a simple and condensed style. The material that it contains is still very alive, and reading this book will be most useful for researchers and for students in geometry and in the history of science. It can be used as a textbook, as a sourcebook, and as a repository of inspiration. The present edition provides the first complete English translation of Pangeometry available in print. It contains facsimiles of both the Russian and the French original versions. The translation is accompanied by notes, followed by a biography of Lobachevky and an extensive commentary.
Publisher: European Mathematical Society
ISBN: 9783037190876
Category : Mathematics
Languages : en
Pages : 332
Book Description
Lobachevsky wrote Pangeometry in 1855, the year before his death. This memoir is a resume of his work on non-Euclidean geometry and its applications and can be considered his clearest account on the subject. It is also the conclusion of his life's work and the last attempt he made to acquire recognition. The treatise contains basic ideas of hyperbolic geometry, including the trigonometric formulae, the techniques of computation of arc length, of area and of volume, with concrete examples. It also deals with the applications of hyperbolic geometry to the computation of new definite integrals. The techniques are different from those found in most modern books on hyperbolic geometry since they do not use models. Besides its historical importance, Lobachevsky's Pangeometry is a beautiful work, written in a simple and condensed style. The material that it contains is still very alive, and reading this book will be most useful for researchers and for students in geometry and in the history of science. It can be used as a textbook, as a sourcebook, and as a repository of inspiration. The present edition provides the first complete English translation of Pangeometry available in print. It contains facsimiles of both the Russian and the French original versions. The translation is accompanied by notes, followed by a biography of Lobachevky and an extensive commentary.
Tyssot De Patot and His Work 1655 – 1738
Author: A. Rosenberg
Publisher: Springer Science & Business Media
ISBN: 9401027552
Category : History
Languages : en
Pages : 318
Book Description
Although the novel, V oyages el avantures de] aques Masse, caused some thing of a stir during the first half of the eighteenth century, its author, Simon Tyssot de Patot (1655-1738), remained largely unknown in his lifetime, and it is only in this century that he has been recognized as one of the countless soldiers in the vast army of philosophes that assaulted the bastions of religious, political and sodallife in Europe of the late seven 1 teenth and early eighteenth centuries. Tyssot was a Huguenot who lived most of his life in Holland where he pursued a career as professor of mathematics in the sodal and cultural 1 Tyssot and his work seem to have been first brought to the attention of modem writers by the German critics during their investigation of the type of desert island or robinsonade literature that preceded and followed Defoe's Robinson Crusoe. The earliest reference I have found occurs in A. Kippenberg, Robinson in Deutschland bis zur Insel Felsenburg (1713-43), Hanover, 1892, pp. 66-67. Tyssot's name and work appear to have been first linked with the development of socialism in A. Lichtenberger, Le Socialisme au XVIIIe siecle, Paris, 1895, p. 44. Tyssot's Voyages et avantures de]aques Masse was discussed for its literary merits in A. LeBreton, Le Roman au dix huitieme siecle, Paris, 1898. LeBreton did not know that Tyssot was the author.
Publisher: Springer Science & Business Media
ISBN: 9401027552
Category : History
Languages : en
Pages : 318
Book Description
Although the novel, V oyages el avantures de] aques Masse, caused some thing of a stir during the first half of the eighteenth century, its author, Simon Tyssot de Patot (1655-1738), remained largely unknown in his lifetime, and it is only in this century that he has been recognized as one of the countless soldiers in the vast army of philosophes that assaulted the bastions of religious, political and sodallife in Europe of the late seven 1 teenth and early eighteenth centuries. Tyssot was a Huguenot who lived most of his life in Holland where he pursued a career as professor of mathematics in the sodal and cultural 1 Tyssot and his work seem to have been first brought to the attention of modem writers by the German critics during their investigation of the type of desert island or robinsonade literature that preceded and followed Defoe's Robinson Crusoe. The earliest reference I have found occurs in A. Kippenberg, Robinson in Deutschland bis zur Insel Felsenburg (1713-43), Hanover, 1892, pp. 66-67. Tyssot's name and work appear to have been first linked with the development of socialism in A. Lichtenberger, Le Socialisme au XVIIIe siecle, Paris, 1895, p. 44. Tyssot's Voyages et avantures de]aques Masse was discussed for its literary merits in A. LeBreton, Le Roman au dix huitieme siecle, Paris, 1898. LeBreton did not know that Tyssot was the author.
Thomas Harriot's Doctrine of Triangular Numbers
Author: Janet Beery
Publisher: European Mathematical Society
ISBN: 9783037190593
Category : History
Languages : en
Pages : 150
Book Description
Thomas Harriot (1560-1621) was a mathematician and astronomer who founded the English school of algebra. He is known not only for his work in algebra and geometry but also as a prolific writer with wide-ranging interests in ballistics, navigation, and optics. (He discovered the sine law of refraction now known as Snell's law.) By about 1614, Harriot had developed finite difference interpolation methods for navigational tables. In 1618 (or slightly later) he composed a treatise entitled `De numeris triangularibus et inde de progressionibus arithmeticis, Magisteria magna', in which he derived symbolic interpolation formulae and showed how to use them. This treatise was never published and is here reproduced for the first time. Commentary has been added to help the reader follow Harriot's beautiful but almost completely nonverbal presentation. The introductory essay preceding the treatise gives an overview of the contents of the `Magisteria' and describes its influence on Harriot's contemporaries and successors over the next sixty years. Harriot's method was not superseded until Newton, apparently independently, made a similar discovery in the 1660s. The ideas in the `Magisteria' were spread primarily through personal communication and unpublished manuscripts, and so, quite apart from their intrinsic mathematical interest, their survival in England during the seventeenth century provides an important case study in the dissemination of mathematics through informal networks of friends and acquaintances.
Publisher: European Mathematical Society
ISBN: 9783037190593
Category : History
Languages : en
Pages : 150
Book Description
Thomas Harriot (1560-1621) was a mathematician and astronomer who founded the English school of algebra. He is known not only for his work in algebra and geometry but also as a prolific writer with wide-ranging interests in ballistics, navigation, and optics. (He discovered the sine law of refraction now known as Snell's law.) By about 1614, Harriot had developed finite difference interpolation methods for navigational tables. In 1618 (or slightly later) he composed a treatise entitled `De numeris triangularibus et inde de progressionibus arithmeticis, Magisteria magna', in which he derived symbolic interpolation formulae and showed how to use them. This treatise was never published and is here reproduced for the first time. Commentary has been added to help the reader follow Harriot's beautiful but almost completely nonverbal presentation. The introductory essay preceding the treatise gives an overview of the contents of the `Magisteria' and describes its influence on Harriot's contemporaries and successors over the next sixty years. Harriot's method was not superseded until Newton, apparently independently, made a similar discovery in the 1660s. The ideas in the `Magisteria' were spread primarily through personal communication and unpublished manuscripts, and so, quite apart from their intrinsic mathematical interest, their survival in England during the seventeenth century provides an important case study in the dissemination of mathematics through informal networks of friends and acquaintances.