The Conceptual Roots Of Mathematics

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The Conceptual Roots Of Mathematics

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Author : J.R. Lucas
language : en
Publisher:
Release Date : 2005

The Conceptual Roots Of Mathematics written by J.R. Lucas and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.

The Conceptual Roots Of Mathematics

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Author : John Randolph Lucas
language : en
Publisher: Psychology Press
Release Date : 2000

The Conceptual Roots Of Mathematics written by John Randolph Lucas and has been published by Psychology Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.

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.

Conceptual Roots Of Mathematics

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Author : J.R. Lucas
language : en
Publisher: Routledge
Release Date : 2002-09-11

Conceptual Roots Of Mathematics written by J.R. Lucas and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-09-11 with Philosophy categories.

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.

Where Mathematics Come From How The Embodied Mind Brings Mathematics Into Being

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Author : George Lakoff
language : en
Publisher:
Release Date : 2000-11-02

Where Mathematics Come From How The Embodied Mind Brings Mathematics Into Being written by George Lakoff and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-11-02 with Mathematics categories.

A study of the cognitive science of mathematical ideas.

Myp Mathematics 1

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Author : David Weber
language : en
Publisher: Oxford University Press - Children
Release Date : 2019-01-17

Myp Mathematics 1 written by David Weber and has been published by Oxford University Press - Children this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-17 with Juvenile Nonfiction categories.

Build solid mathematical understanding and develop meaningful conceptual connections. The inquiry-based approach holistically integrates the MYP key concepts, helping you shift to a concept-based approach and cement comprehension of mathematical principles. Fully comprehensive and matched to the Revised MYP, this resource builds student potential at MYP and lays foundations for cross-curricular understanding. Using a unique question cycle to sequentially build skills and comprehension, units introduce factual questions, followed by concept-based questions and conclude with debatable questions. This firm grounding in inquiry-based learning equips learners to actively explore mathematical concepts and relate them to the wider 21st Century world, strengthening comprehension. Progress your learners into IB Diploma - fully comprehensive and matched to the Revised MYP Develop conceptual understanding in the best way for your learners - learn by mathematical unit or by key concept Drive active, critical ex

Mathematical Knowledge And The Interplay Of Practices

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Author : José Ferreirós
language : en
Publisher: Princeton University Press
Release Date : 2015-12-22

Mathematical Knowledge And The Interplay Of Practices written by José Ferreirós and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-22 with Science categories.

This book presents a new approach to the epistemology of mathematics by viewing mathematics as a human activity whose knowledge is intimately linked with practice. Charting an exciting new direction in the philosophy of mathematics, José Ferreirós uses the crucial idea of a continuum to provide an account of the development of mathematical knowledge that reflects the actual experience of doing math and makes sense of the perceived objectivity of mathematical results. Describing a historically oriented, agent-based philosophy of mathematics, Ferreirós shows how the mathematical tradition evolved from Euclidean geometry to the real numbers and set-theoretic structures. He argues for the need to take into account a whole web of mathematical and other practices that are learned and linked by agents, and whose interplay acts as a constraint. Ferreirós demonstrates how advanced mathematics, far from being a priori, is based on hypotheses, in contrast to elementary math, which has strong cognitive and practical roots and therefore enjoys certainty. Offering a wealth of philosophical and historical insights, Mathematical Knowledge and the Interplay of Practices challenges us to rethink some of our most basic assumptions about mathematics, its objectivity, and its relationship to culture and science.

Postmodern Philosophy And The Scientific Turn

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Author : Dorothea E. Olkowski
language : en
Publisher: Indiana University Press
Release Date : 2012-04-23

Postmodern Philosophy And The Scientific Turn written by Dorothea E. Olkowski and has been published by Indiana University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-23 with Philosophy categories.

A groundbreaking, interdisciplinary approach to the study of consciousness: “Beautifully written, engaging throughout, and captivating” (Claire Colebrook, The Pennsylvania State University). 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 mathematics itself—the historic link between science and philosophy—plays a fundamental role in the development of the worldviews that drive both fields. Focusing on language, its usage and expression of worldview, 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.

The Origin Of The Logic Of Symbolic Mathematics

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Author : Burt C. Hopkins
language : en
Publisher: Indiana University Press
Release Date : 2011-09-07

The Origin Of The Logic Of Symbolic Mathematics written by Burt C. Hopkins and has been published by Indiana University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-07 with Philosophy categories.

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.

The Chinese Roots Of Linear Algebra

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Author : Roger Hart
language : en
Publisher: JHU Press
Release Date : 2011-01-01

The Chinese Roots Of Linear Algebra written by Roger Hart and has been published by JHU Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-01 with Mathematics categories.

A monumental accomplishment in the history of non-Western mathematics, The Chinese Roots of Linear Algebra explains the fundamentally visual way Chinese mathematicians understood and solved mathematical problems. It argues convincingly that what the West "discovered" in the sixteenth and seventeenth centuries had already been known to the Chinese for 1,000 years. Accomplished historian and Chinese-language scholar Roger Hart examines Nine Chapters of Mathematical Arts—the classic ancient Chinese mathematics text—and the arcane art of fangcheng, one of the most significant branches of mathematics in Imperial China. Practiced between the first and seventeenth centuries by anonymous and most likely illiterate adepts, fangcheng involves manipulating counting rods on a counting board. It is essentially equivalent to the solution of systems of N equations in N unknowns in modern algebra, and its practice, Hart reveals, was visual and algorithmic. Fangcheng practitioners viewed problems in two dimensions as an array of numbers across counting boards. By "cross multiplying" these, they derived solutions of systems of linear equations that are not found in ancient Greek or early European mathematics. Doing so within a column equates to Gaussian elimination, while the same operation among individual entries produces determinantal-style solutions. Mathematicians and historians of mathematics and science will find in The Chinese Roots of Linear Algebra new ways to conceptualize the intellectual development of linear algebra.

History Of The Theory Of Numbers Volume Ii

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Author : Leonard Eugene Dickson
language : en
Publisher: Courier Corporation
Release Date : 2005-06-07

History Of The Theory Of Numbers Volume Ii written by Leonard Eugene Dickson and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-06-07 with Mathematics categories.

The three-volume series History of the Theory of Numbers is the work of the distinguished mathematician Leonard Eugene Dickson, who taught at the University of Chicago for four decades and is celebrated for his many contributions to number theory and group theory. This second volume in the series, which is suitable for upper-level undergraduates and graduate students, is devoted to the subject of diophantine analysis. It can be read independently of the preceding volume, which explores divisibility and primality, and volume III, which examines quadratic and higher forms. Featured topics include polygonal, pyramidal, and figurate numbers; linear diophantine equations and congruences; partitions; rational right triangles; triangles, quadrilaterals, and tetrahedra; the sums of two, three, four, and n squares; the number of solutions of quadratic congruences in n unknowns; Liouville's series of eighteen articles; the Pell equation; squares in arithmetical or geometrical progression; equations of degrees three, four, and n; sets of integers with equal sums of like powers; Waring's problem and related results; Fermat's last theorem; and many other related subjects. Indexes of authors cited and subjects appear at the end of the book.