The Diagonal

The Diagonal PDF Author: Jay Hambidge
Publisher:
ISBN:
Category : Art
Languages : en
Pages : 296

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Book Description

Roads to Infinity

Roads to Infinity PDF Author: John Stillwell
Publisher: CRC Press
ISBN: 1439865507
Category : Mathematics
Languages : en
Pages : 202

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Book Description
Winner of a CHOICE Outstanding Academic Title Award for 2011!This book offers an introduction to modern ideas about infinity and their implications for mathematics. It unifies ideas from set theory and mathematical logic, and traces their effects on mainstream mathematical topics of today, such as number theory and combinatorics. The treatment is h

The Diagonal

The Diagonal PDF Author: Jay Hambidge
Publisher:
ISBN:
Category : Art
Languages : en
Pages : 296

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Book Description


Infinity

Infinity PDF Author: Ian Stewart
Publisher: Oxford University Press
ISBN: 0198755236
Category : Mathematics
Languages : en
Pages : 161

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Book Description
Ian Stewart considers the concept of infinity and the profound role it plays in mathematics, logic, physics, cosmology, and philosophy. He shows that working with infinity is not just an abstract, intellectual exercise, and analyses its important practical everyday applications.

Understanding the Infinite

Understanding the Infinite PDF Author: Shaughan Lavine
Publisher: Harvard University Press
ISBN: 0674039998
Category : Philosophy
Languages : en
Pages : 386

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Book Description
How can the infinite, a subject so remote from our finite experience, be an everyday tool for the working mathematician? Blending history, philosophy, mathematics, and logic, Shaughan Lavine answers this question with exceptional clarity. Making use of the mathematical work of Jan Mycielski, he demonstrates that knowledge of the infinite is possible, even according to strict standards that require some intuitive basis for knowledge.

The $q,t$-Catalan Numbers and the Space of Diagonal Harmonics

The $q,t$-Catalan Numbers and the Space of Diagonal Harmonics PDF Author: James Haglund
Publisher: American Mathematical Soc.
ISBN: 0821844113
Category : Mathematics
Languages : en
Pages : 178

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Book Description
This work contains detailed descriptions of developments in the combinatorics of the space of diagonal harmonics, a topic at the forefront of current research in algebraic combinatorics. These developments have led in turn to some surprising discoveries in the combinatorics of Macdonald polynomials.

Loom Knitting Stitches

Loom Knitting Stitches PDF Author: Denise M. Canela
Publisher: LoomaHat.com
ISBN:
Category : Crafts & Hobbies
Languages : en
Pages : 28

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Book Description
I've compiled 10 of my favorite Loom Knit Stitch patterns that I shared on my website in this little eBook. I do want to warn you that these patterns are not written in a conventional manner. I wanted to make them simple enough for beginners to be able to read and to follow. To make things even easier every pattern includes a step by step video tutorial.

The Mystery of the Aleph

The Mystery of the Aleph PDF Author: Amir D. Aczel
Publisher: Simon and Schuster
ISBN: 0743422996
Category : Mathematics
Languages : en
Pages : 278

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Book Description
A compelling narrative that blends the story of infinity with the tragic tale of a tormented and brilliant mathematician.

Lectures on the Philosophy of Mathematics

Lectures on the Philosophy of Mathematics PDF Author: Joel David Hamkins
Publisher: MIT Press
ISBN: 0262362651
Category : Mathematics
Languages : en
Pages : 350

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Book Description
An introduction to the philosophy of mathematics grounded in mathematics and motivated by mathematical inquiry and practice. In this book, Joel David Hamkins offers an introduction to the philosophy of mathematics that is grounded in mathematics and motivated by mathematical inquiry and practice. He treats philosophical issues as they arise organically in mathematics, discussing such topics as platonism, realism, logicism, structuralism, formalism, infinity, and intuitionism in mathematical contexts. He organizes the book by mathematical themes--numbers, rigor, geometry, proof, computability, incompleteness, and set theory--that give rise again and again to philosophical considerations.

Naming Infinity

Naming Infinity PDF Author: Loren Graham
Publisher: Harvard University Press
ISBN: 0674032934
Category : History
Languages : en
Pages : 252

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Book Description
In 1913, Russian imperial marines stormed an Orthodox monastery at Mt. Athos, Greece, to haul off monks engaged in a dangerously heretical practice known as Name Worshipping. Exiled to remote Russian outposts, the monks and their mystical movement went underground. Ultimately, they came across Russian intellectuals who embraced Name Worshipping—and who would achieve one of the biggest mathematical breakthroughs of the twentieth century, going beyond recent French achievements. Loren Graham and Jean-Michel Kantor take us on an exciting mathematical mystery tour as they unravel a bizarre tale of political struggles, psychological crises, sexual complexities, and ethical dilemmas. At the core of this book is the contest between French and Russian mathematicians who sought new answers to one of the oldest puzzles in math: the nature of infinity. The French school chased rationalist solutions. The Russian mathematicians, notably Dmitri Egorov and Nikolai Luzin—who founded the famous Moscow School of Mathematics—were inspired by mystical insights attained during Name Worshipping. Their religious practice appears to have opened to them visions into the infinite—and led to the founding of descriptive set theory. The men and women of the leading French and Russian mathematical schools are central characters in this absorbing tale that could not be told until now. Naming Infinity is a poignant human interest story that raises provocative questions about science and religion, intuition and creativity.

Mathematical Elegance

Mathematical Elegance PDF Author: Steven Goldberg
Publisher: Routledge
ISBN: 1351506641
Category : Mathematics
Languages : en
Pages : 159

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Book Description
The heart of mathematics is its elegance; the way it all fits together. Unfortunately, its beauty often eludes the vast majority of people who are intimidated by fear of the difficulty of numbers. Mathematical Elegance remedies this. Using hundreds of examples, the author presents a view of the mathematical landscape that is both accessible and fascinating. At a time of concern that American youth are bored by math, there is renewed interest in improving math skills. Mathematical Elegance stimulates students, along with those already experienced in the discipline, to explore some of the unexpected pleasures of quantitative thinking. Invoking mathematical proofs famous for their simplicity and brainteasers that are fun and illuminating, the author leaves readers feeling exuberant-as well as convinced that their IQs have been raised by ten points. A host of anecdotes about well-known mathematicians humanize and provide new insights into their lofty subjects. Recalling such classic works as Lewis Carroll's Introduction to Logic and A Mathematician Reads the Newspaper by John Allen Paulos, Mathematical Elegance will energize and delight a wide audience, ranging from intellectually curious students to the enthusiastic general reader.