Analysing Historical Mathematics Textbooks PDF Download
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| Author | : Gert Schubring |
| Publisher | : Springer Nature |
| Total Pages | : 213 |
| Release | : 2023-01-04 |
| Genre | : Education |
| ISBN | : 3031176707 |
Download Analysing Historical Mathematics Textbooks Book in PDF, ePub and Kindle
This book is about the creation and production of textbooks for learning and teaching mathematics. It covers a period from Antiquity to Modern Times. The analysis begins by assessing principal cultures with a practice of mathematics. The tension between the role of the teacher and his oral mode, on the one hand, and the use of a written (printed) text, in their respective relation with the student, is one of the dimensions of the comparative analysis, conceived of as the ‘textbook triangle’. The changes in this tension with the introduction of the printing press are discussed. The book presents various national case studies (France, Germany, Italy) as well as analyses of the internationalisation of textbooks via transmission processes. As this topic has not been sufficiently explored in the literature, it will be very well received by scholars of mathematics education, mathematics teacher educators and anyone with an interest in the field.
| Author | : Ernst Hairer |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 390 |
| Release | : 2008-06-02 |
| Genre | : Mathematics |
| ISBN | : 0387770313 |
Download Analysis by Its History Book in PDF, ePub and Kindle
This book presents first-year calculus roughly in the order in which it was first discovered. The first two chapters show how the ancient calculations of practical problems led to infinite series, differential and integral calculus and to differential equations. The establishment of mathematical rigour for these subjects in the 19th century for one and several variables is treated in chapters III and IV. Many quotations are included to give the flavor of the history. The text is complemented by a large number of examples, calculations and mathematical pictures and will provide stimulating and enjoyable reading for students, teachers, as well as researchers.
| Author | : Nerida F. Ellerton |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 230 |
| Release | : 2012-01-18 |
| Genre | : Education |
| ISBN | : 9400726384 |
Download Rewriting the History of School Mathematics in North America 1607-1861 Book in PDF, ePub and Kindle
The focus of this book is the fundamental influence of the cyphering tradition on mathematics education in North American colleges, schools, and apprenticeship training classes between 1607 and 1861. It is the first book on the history of North American mathematics education to be written from that perspective. The principal data source is a set of 207 handwritten cyphering books that have never previously been subjected to careful historical analysis.
| Author | : Jeremy Gray |
| Publisher | : Springer |
| Total Pages | : 350 |
| Release | : 2015-10-14 |
| Genre | : Mathematics |
| ISBN | : 3319237152 |
Download The Real and the Complex: A History of Analysis in the 19th Century Book in PDF, ePub and Kindle
This book contains a history of real and complex analysis in the nineteenth century, from the work of Lagrange and Fourier to the origins of set theory and the modern foundations of analysis. It studies the works of many contributors including Gauss, Cauchy, Riemann, and Weierstrass. This book is unique owing to the treatment of real and complex analysis as overlapping, inter-related subjects, in keeping with how they were seen at the time. It is suitable as a course in the history of mathematics for students who have studied an introductory course in analysis, and will enrich any course in undergraduate real or complex analysis.
| Author | : Thomas Sonar |
| Publisher | : Springer Nature |
| Total Pages | : 706 |
| Release | : 2020-12-27 |
| Genre | : Mathematics |
| ISBN | : 303058223X |
Download 3000 Years of Analysis Book in PDF, ePub and Kindle
What exactly is analysis? What are infinitely small or infinitely large quantities? What are indivisibles and infinitesimals? What are real numbers, continuity, the continuum, differentials, and integrals? You’ll find the answers to these and other questions in this unique book! It explains in detail the origins and evolution of this important branch of mathematics, which Euler dubbed the “analysis of the infinite.” A wealth of diagrams, tables, color images and figures serve to illustrate the fascinating history of analysis from Antiquity to the present. Further, the content is presented in connection with the historical and cultural events of the respective epochs, the lives of the scholars seeking knowledge, and insights into the subfields of analysis they created and shaped, as well as the applications in virtually every aspect of modern life that were made possible by analysis.
| Author | : Hans Niels Jahnke |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 434 |
| Release | : 2003 |
| Genre | : Mathematical analysis |
| ISBN | : 0821826239 |
Download A History of Analysis Book in PDF, ePub and Kindle
Analysis as an independent subject was created as part of the scientific revolution in the seventeenth century. Kepler, Galileo, Descartes, Fermat, Huygens, Newton, and Leibniz, to name but a few, contributed to its genesis. Since the end of the seventeenth century, the historical progress of mathematical analysis has displayed unique vitality and momentum. No other mathematical field has so profoundly influenced the development of modern scientific thinking. Describing this multidimensional historical development requires an in-depth discussion which includes a reconstruction of general trends and an examination of the specific problems. This volume is designed as a collective work of authors who are proven experts in the history of mathematics. It clarifies the conceptual change that analysis underwent during its development while elucidating the influence of specific applications and describing the relevance of biographical and philosophical backgrounds. The first ten chapters of the book outline chronological development and the last three chapters survey the history of differential equations, the calculus of variations, and functional analysis. Special features are a separate chapter on the development of the theory of complex functions in the nineteenth century and two chapters on the influence of physics on analysis. One is about the origins of analytical mechanics, and one treats the development of boundary-value problems of mathematical physics (especially potential theory) in the nineteenth century. The book presents an accurate and very readable account of the history of analysis. Each chapter provides a comprehensive bibliography. Mathematical examples have been carefully chosen so that readers with a modest background in mathematics can follow them. It is suitable for mathematical historians and a general mathematical audience.
| Author | : H. H. Goldstine |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 361 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1468494724 |
Download A History of Numerical Analysis from the 16th through the 19th Century Book in PDF, ePub and Kindle
In this book I have attempted to trace the development of numerical analysis during the period in which the foundations of the modern theory were being laid. To do this I have had to exercise a certain amount of selectivity in choosing and in rejecting both authors and papers. I have rather arbitrarily chosen, in the main, the most famous mathematicians of the period in question and have concentrated on their major works in numerical analysis at the expense, perhaps, of other lesser known but capable analysts. This selectivity results from the need to choose from a large body of literature, and from my feeling that almost by definition the great masters of mathematics were the ones responsible for the most significant accomplishments. In any event I must accept full responsibility for the choices. I would particularly like to acknowledge my thanks to Professor Otto Neugebauer for his help and inspiration in the preparation of this book. This consisted of many friendly discussions that I will always value. I should also like to express my deep appreciation to the International Business Machines Corporation of which I have the honor of being a Fellow and in particular to Dr. Ralph E. Gomory, its Vice-President for Research, for permitting me to undertake the writing of this book and for helping make it possible by his continuing encouragement and support.
| Author | : Charles Walmsley |
| Publisher | : |
| Total Pages | : 316 |
| Release | : 1926 |
| Genre | : History |
| ISBN | : |
Download An Introductory Course of Mathematical Analysis Book in PDF, ePub and Kindle
Originally published in 1926, this textbook aims to help physics and chemistry students become acquainted with the concepts and processes of differentiation and integration.
| Author | : Saul Stahl |
| Publisher | : John Wiley & Sons |
| Total Pages | : 288 |
| Release | : 1999-08-05 |
| Genre | : Mathematics |
| ISBN | : 9780471318521 |
Download Real Analysis Book in PDF, ePub and Kindle
A provocative look at the tools and history of real analysis This new work from award-winning author Saul Stahl offers a real treat for students of analysis. Combining historical coverage with a superb introductory treatment, Real Analysis: A Historical Approach helps readers easily make the transition from concrete to abstract ideas. The book begins with an exciting sampling of classic and famous problems first posed by some of the greatest mathematicians of all time. Archimedes, Fermat, Newton, and Euler are each summoned in turn-illuminating the utility of infinite, power, and trigonometric series in both pure and applied mathematics. Next, Dr. Stahl develops the basic tools of advanced calculus, introducing the various aspects of the completeness of the real number system, sequential continuity and differentiability, as well as uniform convergence. Finally, he presents applications and examples to reinforce concepts and demonstrate the validity of many of the historical methods and results. Ample exercises, illustrations, and appended excerpts from the original historical works complete this focused, unconventional, highly interesting book. It is an invaluable resource for mathematicians and educators seeking to gain insight into the true language of mathematics.
| Author | : Rima D. Apple |
| Publisher | : University of Wisconsin Pres |
| Total Pages | : 253 |
| Release | : 2012-09-25 |
| Genre | : Science |
| ISBN | : 0299286134 |
Download Science in Print Book in PDF, ePub and Kindle
Ever since the threads of seventeenth-century natural philosophy began to coalesce into an understanding of the natural world, printed artifacts such as laboratory notebooks, research journals, college textbooks, and popular paperbacks have been instrumental to the development of what we think of today as “science.” But just as the history of science involves more than recording discoveries, so too does the study of print culture extend beyond the mere cataloguing of books. In both disciplines, researchers attempt to comprehend how social structures of power, reputation, and meaning permeate both the written record and the intellectual scaffolding through which scientific debate takes place. Science in Print brings together scholars from the fields of print culture, environmental history, science and technology studies, medical history, and library and information studies. This ambitious volume paints a rich picture of those tools and techniques of printing, publishing, and reading that shaped the ideas and practices that grew into modern science, from the days of the Royal Society of London in the late 1600s to the beginning of the modern U.S. environmental movement in the early 1960s.
