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Author: J.R. Lucas Publisher: Routledge ISBN: 1134622260 Category : Philosophy Languages : en Pages : 469
Book Description
The Conceptual Roots of Mathematics is a comprehensive study of the foundation of mathematics. J.R. Lucas, one of the most distinguished Oxford scholars, covers a vast amount of ground in the philosophy of mathematics, showing us that it is actually at the heart of the study of epistemology and metaphysics.
Author: J.R. Lucas Publisher: Routledge ISBN: 1134622260 Category : Philosophy Languages : en Pages : 469
Book Description
The Conceptual Roots of Mathematics is a comprehensive study of the foundation of mathematics. J.R. Lucas, one of the most distinguished Oxford scholars, covers a vast amount of ground in the philosophy of mathematics, showing us that it is actually at the heart of the study of epistemology and metaphysics.
Author: J.R. Lucas Publisher: Routledge ISBN: 1134622279 Category : Philosophy Languages : en Pages : 471
Book Description
The Conceptual Roots of Mathematics is a comprehensive study of the foundation of mathematics. J.R. Lucas, one of the most distinguished Oxford scholars, covers a vast amount of ground in the philosophy of mathematics, showing us that it is actually at the heart of the study of epistemology and metaphysics.
Author: Dorothea Olkowski Publisher: Indiana University Press ISBN: 0253001129 Category : Philosophy Languages : en Pages : 249
Book Description
What can come of a scientific engagement with postmodern philosophy? Some scientists have claimed that the social sciences and humanities have nothing to contribute, except perhaps peripherally, to their research. Dorothea E. Olkowski shows that the historic link between science and philosophy, mathematics itself, plays a fundamental role in the development of the worldviews that drive both fields. Focusing on language, its expression of worldview and usage, she develops a phenomenological account of human thought and action to explicate the role of philosophy in the sciences. Olkowski proposes a model of phenomenology, both scientific and philosophical, that helps make sense of reality and composes an ethics for dealing with unpredictability in our world.
Author: John Fauvel Publisher: Springer Science & Business Media ISBN: 0306472201 Category : Education Languages : en Pages : 456
Book Description
This ground-breaking book investigates how the learning and teaching of mathematics can be improved through integrating the history of mathematics into all aspects of mathematics education: lessons, homework, texts, lectures, projects, assessment, and curricula. It draws upon evidence from the experience of teachers as well as national curricula, textbooks, teacher education practices, and research perspectives across the world. It includes a 300-item annotated bibliography of recent work in the field in eight languages.
Author: Judith D. Sally Publisher: American Mathematical Soc. ISBN: 0821872672 Category : Mathematics Languages : en Pages : 338
Book Description
Certain contemporary mathematical problems are of particular interest to teachers and students because their origin lies in mathematics covered in the elementary school curriculum and their development can be traced through high school, college, and university level mathematics. This book is intended to provide a source for the mathematics (from beginning to advanced) needed to understand the emergence and evolution of five of these problems: The Four Numbers Problem, Rational Right Triangles, Lattice Point Geometry, Rational Approximation, and Dissection. Each chapter begins with the elementary geometry and number theory at the source of the problem, and proceeds (with the exception of the first problem) to a discussion of important results in current research. The introduction to each chapter summarizes the contents of its various sections, as well as the background required. The book is intended for students and teachers of mathematics from high school through graduate school. It should also be of interest to working mathematicians who are curious about mathematical results in fields other than their own. It can be used by teachers at all of the above mentioned levels for the enhancement of standard curriculum materials or extra-curricular projects. -- Book cover.
Author: Vladimir Tasic Publisher: Oxford University Press ISBN: 0199881510 Category : Mathematics Languages : en Pages : 200
Book Description
This is a charming and insightful contribution to an understanding of the "Science Wars" between postmodernist humanism and science, driving toward a resolution of the mutual misunderstanding that has driven the controversy. It traces the root of postmodern theory to a debate on the foundations of mathematics early in the 20th century, then compares developments in mathematics to what took place in the arts and humanities, discussing issues as diverse as literary theory, arts, and artificial intelligence. This is a straightforward, easily understood presentation of what can be difficult theoretical concepts It demonstrates that a pattern of misreading mathematics can be seen both on the part of science and on the part of postmodern thinking. This is a humorous, playful yet deeply serious look at the intellectual foundations of mathematics for those in the humanities and the perfect critical introduction to the bases of modernism and postmodernism for those in the sciences.
Author: Leonard Eugene Dickson Publisher: Legare Street Press ISBN: 9781022895782 Category : Languages : en Pages : 0
Book Description
A landmark work in the field of mathematics, History of the Theory of Numbers - I traces the development of number theory from ancient civilizations to the early 20th century. Written by mathematician Leonard Eugene Dickson, this book is a comprehensive and accessible introduction to the history of one of the most fundamental branches of mathematics. 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 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. 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.
Author: J.R. Lucas
Author: J.R. Lucas
Author: J. R. Lucas
Author: J.R. Lucas
Author: F. William Lawvere
Author: George Lakoff
Author: Dorothea Olkowski
Author: John Fauvel
Author: Judith D. Sally
Author: Vladimir Tasic
Author: Leonard Eugene Dickson