Author: David Hilbert
Publisher: Good Press
ISBN:
Category : Fiction
Languages : en
Pages : 60
Book Description
'Mathematical Problems' is a book derived from a lecture given by David Hilbert, a German mathematician and one of the most influential mathematicians of the 19th and early 20th centuries. Hilbert's address begins with the following: "Who of us would not be glad to lift the veil behind which the future lies hidden; to cast a glance at the next advances of our science and at the secrets of its development during future centuries? What particular goals will there be toward which the leading mathematical spirits of coming generations will strive? What new methods and new facts in the wide and rich field of mathematical thought will the new centuries disclose?"
Mathematical Problems
Author: David Hilbert
Publisher: Good Press
ISBN:
Category : Fiction
Languages : en
Pages : 60
Book Description
'Mathematical Problems' is a book derived from a lecture given by David Hilbert, a German mathematician and one of the most influential mathematicians of the 19th and early 20th centuries. Hilbert's address begins with the following: "Who of us would not be glad to lift the veil behind which the future lies hidden; to cast a glance at the next advances of our science and at the secrets of its development during future centuries? What particular goals will there be toward which the leading mathematical spirits of coming generations will strive? What new methods and new facts in the wide and rich field of mathematical thought will the new centuries disclose?"
Publisher: Good Press
ISBN:
Category : Fiction
Languages : en
Pages : 60
Book Description
'Mathematical Problems' is a book derived from a lecture given by David Hilbert, a German mathematician and one of the most influential mathematicians of the 19th and early 20th centuries. Hilbert's address begins with the following: "Who of us would not be glad to lift the veil behind which the future lies hidden; to cast a glance at the next advances of our science and at the secrets of its development during future centuries? What particular goals will there be toward which the leading mathematical spirits of coming generations will strive? What new methods and new facts in the wide and rich field of mathematical thought will the new centuries disclose?"
Bulletin of the American Mathematical Society
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1052
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1052
Book Description
The Eightfold Way
Author: Silvio Levy
Publisher: Cambridge University Press
ISBN: 9780521004190
Category : Mathematics
Languages : en
Pages : 350
Book Description
Expository and research articles by renowned mathematicians on the myriad properties of the Klein quartic.
Publisher: Cambridge University Press
ISBN: 9780521004190
Category : Mathematics
Languages : en
Pages : 350
Book Description
Expository and research articles by renowned mathematicians on the myriad properties of the Klein quartic.
Lectures on Mathematics
Author: Felix Klein
Publisher: American Mathematical Soc.
ISBN:
Category : Mathematics
Languages : en
Pages : 142
Book Description
Publisher: American Mathematical Soc.
ISBN:
Category : Mathematics
Languages : en
Pages : 142
Book Description
Philosophy and Foundations of Mathematics
Author: A. Heyting
Publisher: Elsevier
ISBN: 1483278158
Category : Mathematics
Languages : en
Pages : 645
Book Description
L.E.J. Brouwer: Collected Works, Volume 1: Philosophy and Foundations of Mathematics focuses on the principles, operations, and approaches promoted by Brouwer in studying the philosophy and foundations of mathematics. The publication first ponders on the construction of mathematics. Topics include arithmetic of integers, negative numbers, measurable continuum, irrational numbers, Cartesian geometry, similarity group, characterization of the linear system of the Cartesian or Euclidean and hyperbolic space, and non-Archimedean uniform groups on the one-dimensional continuum. The book then examines mathematics and experience and mathematics and logic. Topics include denumerably unfinished sets, continuum problem, logic of relations, consistency proofs for formal systems independent of their interpretation, infinite numbers, and problems of space and time. The text is a valuable reference for students, mathematicians, and researchers interested in the contributions of Brouwer in the studies on the philosophy and foundations of mathematics.
Publisher: Elsevier
ISBN: 1483278158
Category : Mathematics
Languages : en
Pages : 645
Book Description
L.E.J. Brouwer: Collected Works, Volume 1: Philosophy and Foundations of Mathematics focuses on the principles, operations, and approaches promoted by Brouwer in studying the philosophy and foundations of mathematics. The publication first ponders on the construction of mathematics. Topics include arithmetic of integers, negative numbers, measurable continuum, irrational numbers, Cartesian geometry, similarity group, characterization of the linear system of the Cartesian or Euclidean and hyperbolic space, and non-Archimedean uniform groups on the one-dimensional continuum. The book then examines mathematics and experience and mathematics and logic. Topics include denumerably unfinished sets, continuum problem, logic of relations, consistency proofs for formal systems independent of their interpretation, infinite numbers, and problems of space and time. The text is a valuable reference for students, mathematicians, and researchers interested in the contributions of Brouwer in the studies on the philosophy and foundations of mathematics.
The Messenger of Mathematics
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 416
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 416
Book Description
Mathematical Knowledge and the Interplay of Practices
Author: José Ferreirós
Publisher: Princeton University Press
ISBN: 0691167516
Category : Science
Languages : en
Pages : 357
Book Description
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.
Publisher: Princeton University Press
ISBN: 0691167516
Category : Science
Languages : en
Pages : 357
Book Description
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.
The Evanston colloquium : lectures on mathematics delivered from
Author: Felix Klein
Publisher:
ISBN:
Category :
Languages : en
Pages : 140
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 140
Book Description
Lectures on Mathematics Delivered Before Members of the Congress of Mathematics, Held in Connection with the Worlds Fair in Chicago
Author: Klein
Publisher:
ISBN:
Category :
Languages : en
Pages : 136
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 136
Book Description
Orders of Infinity
Author: Godfrey Harold Hardy
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 80
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 80
Book Description