The Origin Of Symbolic Mathematics And The End Of The Science Of Quantity
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| Author | : Burt C. Hopkins |
| Publisher | : Indiana University Press |
| Total Pages | : 593 |
| Release | : 2011-09-07 |
| Genre | : Philosophy |
| ISBN | : 0253005272 |
Burt C. Hopkins presents the first in-depth study of the work of Edmund Husserl and Jacob Klein on the philosophical foundations of the logic of modern symbolic mathematics. Accounts of the philosophical origins of formalized concepts—especially mathematical concepts and the process of mathematical abstraction that generates them—have been paramount to the development of phenomenology. Both Husserl and Klein independently concluded that it is impossible to separate the historical origin of the thought that generates the basic concepts of mathematics from their philosophical meanings. Hopkins explores how Husserl and Klein arrived at their conclusion and its philosophical implications for the modern project of formalizing all knowledge.
| Author | : Sören Stenlund |
| Publisher | : |
| Total Pages | : 93 |
| Release | : 2014 |
| Genre | : |
| ISBN | : 9789150623888 |
| Author | : Jacob Klein |
| Publisher | : Courier Corporation |
| Total Pages | : 246 |
| Release | : 2013-04-22 |
| Genre | : Mathematics |
| ISBN | : 0486319814 |
Important study focuses on the revival and assimilation of ancient Greek mathematics in the 13th-16th centuries, via Arabic science, and the 16th-century development of symbolic algebra. 1968 edition. Bibliography.
| Author | : Vera Bühlmann |
| Publisher | : Bloomsbury Publishing |
| Total Pages | : 372 |
| Release | : 2020-02-20 |
| Genre | : Computers |
| ISBN | : 1350019755 |
This book introduces the reader to Serres' unique manner of 'doing philosophy' that can be traced throughout his entire oeuvre: namely as a novel manner of bearing witness. It explores how Serres takes note of a range of epistemologically unsettling situations, which he understands as arising from the short-circuit of a proprietary notion of capital with a praxis of science that commits itself to a form of reasoning which privileges the most direct path (simple method) in order to expend minimal efforts while pursuing maximal efficiency. In Serres' universal economy, value is considered as a function of rarity, not as a stock of resources. This book demonstrates how Michel Serres has developed an architectonics that is coefficient with nature. Mathematic and Information in the Philosophy of Michel Serres acquaints the reader with Serres' monist manner of addressing the universality and the power of knowledge – that is at once also the anonymous and empty faculty of incandescent, inventive thought. The chapters of the book demarcate, problematize and contextualize some of the epistemologically unsettling situations Serres addresses, whilst also examining the particular manner in which he responds to and converses with these situations.
| Author | : Yehudit Judy Dori |
| Publisher | : Springer |
| Total Pages | : 380 |
| Release | : 2017-12-01 |
| Genre | : Science |
| ISBN | : 3319666592 |
This book addresses the point of intersection between cognition, metacognition, and culture in learning and teaching Science, Technology, Engineering, and Mathematics (STEM). We explore theoretical background and cutting-edge research about how various forms of cognitive and metacognitive instruction may enhance learning and thinking in STEM classrooms from K-12 to university and in different cultures and countries. Over the past several years, STEM education research has witnessed rapid growth, attracting considerable interest among scholars and educators. The book provides an updated collection of studies about cognition, metacognition and culture in the four STEM domains. The field of research, cognition and metacognition in STEM education still suffers from ambiguity in meanings of key concepts that various researchers use. This book is organized according to a unique manner: Each chapter features one of the four STEM domains and one of the three themes—cognition, metacognition, and culture—and defines key concepts. This matrix-type organization opens a new path to knowledge in STEM education and facilitates its understanding. The discussion at the end of the book integrates these definitions for analyzing and mapping the STEM education research. Chapter 4 is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com
| Author | : Rosi Braidotti |
| Publisher | : Bloomsbury Publishing |
| Total Pages | : 577 |
| Release | : 2018-02-22 |
| Genre | : Philosophy |
| ISBN | : 1350030236 |
If art, science, and the humanities have shared one thing, it was their common engagement with constructions and representations of the human. Under the pressure of new contemporary concerns, however, we are experiencing a “posthuman condition”; the combination of new developments-such as the neoliberal economics of global capitalism, migration, technological advances, environmental destruction on a mass scale, the perpetual war on terror and extensive security systems- with a troublesome reiteration of old, unresolved problems that mean the concept of the human as we had previously known it has undergone dramatic transformations. The Posthuman Glossary is a volume providing an outline of the critical terms of posthumanity in present-day artistic and intellectual work. It builds on the broad thematic topics of Anthropocene/Capitalocene, eco-sophies, digital activism, algorithmic cultures and security and the inhuman. It outlines potential artistic, intellectual, and activist itineraries of working through the complex reality of the 'posthuman condition', and creates an understanding of the altered meanings of art vis-à-vis critical present-day developments. It bridges missing links across disciplines, terminologies, constituencies and critical communities. This original work will unlock the terms of the posthuman for students and researchers alike.
| Author | : François Viète |
| Publisher | : Courier Corporation |
| Total Pages | : 466 |
| Release | : 2006-01-01 |
| Genre | : Mathematics |
| ISBN | : 0486453480 |
This historic work consists of several treatises that developed the first consistent, coherent, and systematic conception of algebraic equations. Originally published in 1591, it pioneered the notion of using symbols of one kind (vowels) for unknowns and of another kind (consonants) for known quantities, thus streamlining the solution of equations. Francois Viète (1540-1603), a lawyer at the court of King Henry II in Tours and Paris, wrote several treatises that are known collectively as The Analytic Art. His novel approach to the study of algebra developed the earliest articulated theory of equations, allowing not only flexibility and generality in solving linear and quadratic equations, but also something completely new—a clear analysis of the relationship between the forms of the solutions and the values of the coefficients of the original equation. Viète regarded his contribution as developing a "systematic way of thinking" leading to general solutions, rather than just a "bag of tricks" to solve specific problems. These essays demonstrate his method of applying his own ideas to existing usage in ways that led to clear formulation and solution of equations.
| Author | : Muriel Seltman |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 303 |
| Release | : 2007-05-09 |
| Genre | : Mathematics |
| ISBN | : 0387495126 |
This is the first English translation of Thomas Harriot’s seminal Artis Analyticae Praxis, first published in Latin in 1631. It has recently become clear that Harriot's editor substantially rearranged the work, and omitted sections beyond his comprehension. Commentary included with this translation relates to corresponding pages in the manuscript papers, enabling exploration of Harriot's novel and advanced mathematics. This publication provides the basis for a reassessment of the development of algebra.
| Author | : David M. Burton |
| Publisher | : WCB/McGraw-Hill |
| Total Pages | : 544 |
| Release | : 1985 |
| Genre | : Mathematics |
| ISBN | : 9780697068552 |
"The History of Mathematics: An Introduction," Sixth Edition, is written for the one- or two-semester math history course taken by juniors or seniors, and covers the history behind the topics typically covered in an undergraduate math curriculum or in elementary schools or high schools. Elegantly written in David Burton's imitable prose, this classic text provides rich historical context to the mathematics that undergrad math and math education majors encounter every day. Burton illuminates the people, stories, and social context behind mathematics'greatest historical advances while maintaining appropriate focus on the mathematical concepts themselves. Its wealth of information, mathematical and historical accuracy, and renowned presentation make The History of Mathematics: An Introduction, Sixth Edition a valuable resource that teachers and students will want as part of a permanent library.
| Author | : Joel S. Cohen |
| Publisher | : CRC Press |
| Total Pages | : 323 |
| Release | : 2002-07-19 |
| Genre | : Computers |
| ISBN | : 1439863695 |
This book provides a systematic approach for the algorithmic formulation and implementation of mathematical operations in computer algebra programming languages. The viewpoint is that mathematical expressions, represented by expression trees, are the data objects of computer algebra programs, and by using a few primitive operations that analyze and
