The Mathematics of Frobenius in Context PDF Download
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Author: Thomas Hawkins
Publisher: Springer Science & Business Media
ISBN: 1461463335
Category : Mathematics
Languages : en
Pages : 698
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Book Description
Frobenius made many important contributions to mathematics in the latter part of the 19th century. Hawkins here focuses on his work in linear algebra and its relationship with the work of Burnside, Cartan, and Molien, and its extension by Schur and Brauer. He also discusses the Berlin school of mathematics and the guiding force of Weierstrass in that school, as well as the fundamental work of d'Alembert, Lagrange, and Laplace, and of Gauss, Eisenstein and Cayley that laid the groundwork for Frobenius's work in linear algebra. The book concludes with a discussion of Frobenius's contribution to the theory of stochastic matrices.
Author: Thomas Hawkins
Publisher: Springer Science & Business Media
ISBN: 1461463335
Category : Mathematics
Languages : en
Pages : 698
Get Book Here
Book Description
Frobenius made many important contributions to mathematics in the latter part of the 19th century. Hawkins here focuses on his work in linear algebra and its relationship with the work of Burnside, Cartan, and Molien, and its extension by Schur and Brauer. He also discusses the Berlin school of mathematics and the guiding force of Weierstrass in that school, as well as the fundamental work of d'Alembert, Lagrange, and Laplace, and of Gauss, Eisenstein and Cayley that laid the groundwork for Frobenius's work in linear algebra. The book concludes with a discussion of Frobenius's contribution to the theory of stochastic matrices.
Author: Christiane Rousseau
Publisher: Springer Science & Business Media
ISBN: 0387692169
Category : Mathematics
Languages : en
Pages : 580
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Book Description
This book introduces the student to numerous modern applications of mathematics in technology. The authors write with clarity and present the mathematics in a clear and straightforward way making it an interesting and easy book to read. Numerous exercises at the end of every section provide practice and reinforce the material in the chapter. An engaging quality of this book is that the authors also present the mathematical material in a historical context and not just the practical one. Mathematics and Technology is intended for undergraduate students in mathematics, instructors and high school teachers. Additionally, its lack of calculus centricity as well as a clear indication of the more difficult topics and relatively advanced references make it suitable for any curious individual with a decent command of high school math.
Author: Arthur F. Coxford
Publisher:
ISBN: 9780078275487
Category : Mathematics
Languages : en
Pages : 514
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Book Description
Author: Alain Kuzniak
Publisher: Springer Nature
ISBN: 303090850X
Category : Education
Languages : en
Pages : 285
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Book Description
This book is a friendly and complete introduction to one of the most comprehensive contemporary theories of mathematics teaching and learning. By focusing on mathematical work performed by students and teachers during mathematics session, the theory of Mathematical Workings Spaces (MWS) has opened up new perspectives and avenues on mathematics education and mathematical thinking. In particular, it enables the identification of students' knowledge production processes and helps teachers to shape them. The first part of the book explores the heart of the theory and aims to further describe and understand epistemological and cognitive aspects of mathematical work. The second part develops the different MWS dedicated to observing how this work depends on the expectations of educational systems, how it is formed and taught, and how individuals appropriate it. In the last part, some applications and perspectives are discussed regarding topics of major importance today in mathematics education which relate to technological and digital tools, teacher training and modeling activities. In line with the spirit of the theory, the book was written to reflect the conceptual unity at the heart of the theory of MWS and, at the same time, to show the freedom and diversity of approaches given space therein. Written for researchers and professionals in mathematics education, it offers plenty of concrete examples from different educational systems around the world to illustrate the theoretical concepts and show the applicability of the theory to practice and research.
Author: Arthur F. Coxford
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 728
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Book Description
"Through investigations of real-life contexts, students develope a rich understanding of important mathematics that makes sense to them and which, in turn, enables them to make sense out of new situations and problems."--Page 1
Author: Claude Gaulin
Publisher: Presses Université Laval
ISBN: 9782763773629
Category : Education
Languages : en
Pages : 540
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Book Description
Author:
Publisher: Grao
ISBN: 8478275495
Category : Education
Languages : en
Pages : 460
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Book Description
Fruto de un encuentro celebrado en Vilanova i la Geltrú (España) en julio de 2002, el libro que presentamos hoy, trata uno de los temas de gran importancia para la reflexión pedagógica actual: el papel de la globalización, vehiculado por lo sugerente de lo común y de lo diverso en educación matemática y sus desafíos.
Author: Guy Brousseau
Publisher: Springer Science & Business Media
ISBN: 0306472112
Category : Education
Languages : en
Pages : 316
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Book Description
This book is unique. It gathers texts which give the best presentation of the principles and key concepts of the Theory of Didactical Situations that Guy Brousseau developed in the period from 1970 to 1990. These texts provide a comprehensive presentation of the Theory. In order to facilitate the reading of certain points footnotes have been added, as well as preludes and interludes to place in context the chosen texts and clarify the construction of the book.
Author: Luciano Boi
Publisher: World Scientific
ISBN: 9814479454
Category : Science
Languages : en
Pages : 444
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Book Description
The collection of papers forming this volume is intended to provide a deeper study of some mathematical and physical subjects which are at the core of recent developments in the natural and living sciences. The book explores some far-reaching interfaces where mathematics, theoretical physics, and natural sciences seem to interact profoundly. The main goal is to show that an accomplished movement of geometrisation has enabled the discovery of a great variety of amazing structures and behaviors in physical reality and in living matter. The diverse group of expert mathematicians, physicists and natural scientists present numerous new results and original ideas, methods and techniques. Both academic and interdisciplinary, the book investigates a number of important connections between mathematics, theoretical physics and natural sciences including biology.
Author: Ann Kajander
Publisher: Springer
ISBN: 3319923900
Category : Education
Languages : en
Pages : 681
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Book Description
This volume brings together recent research and commentary in secondary school mathematics from a breadth of contemporary Canadian and International researchers and educators. It is both representative of mathematics education generally, as well as unique to the particular geography and culture of Canada. The chapters address topics of broad applicability such as technology in learning mathematics, recent interest in social justice contexts in the learning of mathematics, as well as Indigenous education. The voices of classroom practitioners, the group ultimately responsible for implementing this new vision of mathematics teaching and learning, are not forgotten. Each section includes a chapter written by a classroom teacher, making this volume unique in its approach. We have much to learn from one another, and this volume takes the stance that the development of a united vision, supported by both research and professional dialog, provides the first step.
