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Memoirs of a Proof Theorist

Memoirs of a Proof Theorist PDF Author: Gaisi Takeuti
Publisher: World Scientific
ISBN: 9812382798
Category : Mathematics
Languages : en
Pages : 155

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Book Description
This volume is a translation of the book Gvdel, written in Japanese by Gaisi Takeuti, a distinguished proof theorist. The core of the book comprises a memoir of K Gvdel, Takeuti's personal recollections, and his interpretation of Gvdel's attitudes towards mathematical logic. It also contains Takeuti's recollection of association with some other famous logicians. Everything in the book is original, as the author adheres to his own experiences and interpretations. There is also an article on Hilbert's second problem as well as on the author's fundamental conjecture about second order logic.

Memoirs of a Proof Theorist

Memoirs of a Proof Theorist PDF Author: Gaisi Takeuti
Publisher: World Scientific
ISBN: 9812382798
Category : Mathematics
Languages : en
Pages : 155

Get Book Here

Book Description
This volume is a translation of the book Gvdel, written in Japanese by Gaisi Takeuti, a distinguished proof theorist. The core of the book comprises a memoir of K Gvdel, Takeuti's personal recollections, and his interpretation of Gvdel's attitudes towards mathematical logic. It also contains Takeuti's recollection of association with some other famous logicians. Everything in the book is original, as the author adheres to his own experiences and interpretations. There is also an article on Hilbert's second problem as well as on the author's fundamental conjecture about second order logic.

Proof and the Art of Mathematics

Proof and the Art of Mathematics PDF Author: Joel David Hamkins
Publisher: MIT Press
ISBN: 0262362562
Category : Mathematics
Languages : en
Pages : 132

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Book Description
How to write mathematical proofs, shown in fully-worked out examples. This is a companion volume Joel Hamkins's Proof and the Art of Mathematics, providing fully worked-out solutions to all of the odd-numbered exercises as well as a few of the even-numbered exercises. In many cases, the solutions go beyond the exercise question itself to the natural extensions of the ideas, helping readers learn how to approach a mathematical investigation. As Hamkins asks, "Once you have solved a problem, why not push the ideas harder to see what further you can prove with them?" These solutions offer readers examples of how to write a mathematical proofs. The mathematical development of this text follows the main book, with the same chapter topics in the same order, and all theorem and exercise numbers in this text refer to the corresponding statements of the main text.

Biographical memoir. Illustrations of the Huttonian theory of the earth

Biographical memoir. Illustrations of the Huttonian theory of the earth PDF Author: John Playfair
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 626

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Book Description

An Elementary Treatise on the Theory of Equations

An Elementary Treatise on the Theory of Equations PDF Author: Isaac Todhunter
Publisher:
ISBN:
Category : Equations, Theory of
Languages : en
Pages : 344

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Book Description

The Autonomy of Mathematical Knowledge

The Autonomy of Mathematical Knowledge PDF Author: Curtis Franks
Publisher: Cambridge University Press
ISBN: 0521514371
Category : Mathematics
Languages : en
Pages : 229

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Book Description
This study reconstructs, analyses and re-evaluates the programme of influential mathematical thinker David Hilbert, presenting it in a different light.

The Works of John Playfair ...: Biographical memoir. Illustrations of the Huttonian theory of the earth

The Works of John Playfair ...: Biographical memoir. Illustrations of the Huttonian theory of the earth PDF Author: John Playfair
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 634

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Book Description

The Works of John Playfair ...: Biographical memoir. Illustrations of the Huttonian theory of the earth.-v.2.Dissertation, exhibiting a general view of the progress of mathematical and physical science since the revival of letters in Europe.-v.3.On the arithmetic of impossible quantities. On the causes which affect the accuracy of barometrical measurements. Remarks on the astronomy of the Brahmins. On the origin and investigation of porisms. Observations on the trigonometrical tables of the Brahmins. Theorems relating to the figure of the earth. On the solids of greatest attraction. On the progress of heat in spherical bodies. Account of a lithological survey of Schehallien. On the naval tactics of the late John Clerk.-v.4.Biographical account of Matthew Stewart. Biographical account of James Hutton. Biographical account of John Robinson. Review of Mudge's Account of the trigonometrical survey of England. Review of Mechain et Delambre, Base du système métrique décimal. Review of Laplace, Traité de mécanique céleste. Review of Le Compte rendu par l'Institut de France. Review of Lambton's Measurement of an arch of the meridan. Review of Laplace, Essai philosophique sur les probabilitiés. Review of Baron de Zach, Attraction des montagnes. Review of Kater on the pendulum

The Works of John Playfair ...: Biographical memoir. Illustrations of the Huttonian theory of the earth.-v.2.Dissertation, exhibiting a general view of the progress of mathematical and physical science since the revival of letters in Europe.-v.3.On the arithmetic of impossible quantities. On the causes which affect the accuracy of barometrical measurements. Remarks on the astronomy of the Brahmins. On the origin and investigation of porisms. Observations on the trigonometrical tables of the Brahmins. Theorems relating to the figure of the earth. On the solids of greatest attraction. On the progress of heat in spherical bodies. Account of a lithological survey of Schehallien. On the naval tactics of the late John Clerk.-v.4.Biographical account of Matthew Stewart. Biographical account of James Hutton. Biographical account of John Robinson. Review of Mudge's Account of the trigonometrical survey of England. Review of Mechain et Delambre, Base du système métrique décimal. Review of Laplace, Traité de mécanique céleste. Review of Le Compte rendu par l'Institut de France. Review of Lambton's Measurement of an arch of the meridan. Review of Laplace, Essai philosophique sur les probabilitiés. Review of Baron de Zach, Attraction des montagnes. Review of Kater on the pendulum PDF Author: John Playfair
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 632

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Book Description

The Legacy of Kurt Schütte

The Legacy of Kurt Schütte PDF Author: Reinhard Kahle
Publisher: Springer Nature
ISBN: 3030494241
Category : Mathematics
Languages : en
Pages : 497

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Book Description
This book on proof theory centers around the legacy of Kurt Schütte and its current impact on the subject. Schütte was the last doctoral student of David Hilbert who was the first to see that proofs can be viewed as structured mathematical objects amenable to investigation by mathematical methods (metamathematics). Schütte inaugurated the important paradigm shift from finite proofs to infinite proofs and developed the mathematical tools for their analysis. Infinitary proof theory flourished in his hands in the 1960s, culminating in the famous bound Γ0 for the limit of predicative mathematics (a fame shared with Feferman). Later his interests shifted to developing infinite proof calculi for impredicative theories. Schütte had a keen interest in advancing ordinal analysis to ever stronger theories and was still working on some of the strongest systems in his eighties. The articles in this volume from leading experts close to his research, show the enduring influence of his work in modern proof theory. They range from eye witness accounts of his scientific life to developments at the current research frontier, including papers by Schütte himself that have never been published before.

Memoir Repecting a New Theory of Numbers ...

Memoir Repecting a New Theory of Numbers ... PDF Author: Charles Broughton
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 148

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Book Description

Birth of a Theorem

Birth of a Theorem PDF Author: Cédric Villani
Publisher: Macmillan + ORM
ISBN: 0374710236
Category : Biography & Autobiography
Languages : en
Pages : 260

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Book Description
In 2010, French mathematician Cédric Villani received the Fields Medal, the most coveted prize in mathematics, in recognition of a proof which he devised with his close collaborator Clément Mouhot to explain one of the most surprising theories in classical physics. Birth of aTheorem is Villani's own account of the years leading up to the award. It invites readers inside the mind of a great mathematician as he wrestles with the most important work of his career. But you don't have to understand nonlinear Landau damping to love Birth of aTheorem. It doesn't simplify or overexplain; rather, it invites readers into collaboration. Villani's diaries, emails, and musings enmesh you in the process of discovery. You join him in unproductive lulls and late-night breakthroughs. You're privy to the dining-hall conversations at the world's greatest research institutions. Villani shares his favorite songs, his love of manga, and the imaginative stories he tells his children. In mathematics, as in any creative work, it is the thinker's whole life that propels discovery—and with Birth of aTheorem, Cédric Villani welcomes you into his.