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A pun-packed look at friendship, jealousy, and being yourself Knot is a piece of rope who longs to do the same things as Snake. Snake can slither and swim and hiss. Sadly, Knot cannot! But when Snake finds herself in a pickle, Knot discovers there's one thing he can do that Snake cannot. Knot can knot--a lot! With wordplay a-plenty, this uproarious read-a-loud encourages readers to find--and celebrate!--whatever it is they do best.
Book Synopsis Knot Cannot by : Tiffany Stone
Download or read book Knot Cannot written by Tiffany Stone and published by Penguin. This book was released on 2020-04-07 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: A pun-packed look at friendship, jealousy, and being yourself Knot is a piece of rope who longs to do the same things as Snake. Snake can slither and swim and hiss. Sadly, Knot cannot! But when Snake finds herself in a pickle, Knot discovers there's one thing he can do that Snake cannot. Knot can knot--a lot! With wordplay a-plenty, this uproarious read-a-loud encourages readers to find--and celebrate!--whatever it is they do best.
Knot Theory, a lively exposition of the mathematics of knotting, will appeal to a diverse audience from the undergraduate seeking experience outside the traditional range of studies to mathematicians wanting a leisurely introduction to the subject. Graduate students beginning a program of advanced study will find a worthwhile overview, and the reader will need no training beyond linear algebra to understand the mathematics presented. The interplay between topology and algebra, known as algebraic topology, arises early in the book when tools from linear algebra and from basic group theory are introduced to study the properties of knots. Livingston guides readers through a general survey of the topic showing how to use the techniques of linear algebra to address some sophisticated problems, including one of mathematics's most beautiful topics—symmetry. The book closes with a discussion of high-dimensional knot theory and a presentation of some of the recent advances in the subject—the Conway, Jones, and Kauffman polynomials. A supplementary section presents the fundamental group which is a centerpiece of algebraic topology.
Book Synopsis Knot Theory by : Charles Livingston
Download or read book Knot Theory written by Charles Livingston and published by American Mathematical Soc.. This book was released on 1993-12-31 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Knot Theory, a lively exposition of the mathematics of knotting, will appeal to a diverse audience from the undergraduate seeking experience outside the traditional range of studies to mathematicians wanting a leisurely introduction to the subject. Graduate students beginning a program of advanced study will find a worthwhile overview, and the reader will need no training beyond linear algebra to understand the mathematics presented. The interplay between topology and algebra, known as algebraic topology, arises early in the book when tools from linear algebra and from basic group theory are introduced to study the properties of knots. Livingston guides readers through a general survey of the topic showing how to use the techniques of linear algebra to address some sophisticated problems, including one of mathematics's most beautiful topics—symmetry. The book closes with a discussion of high-dimensional knot theory and a presentation of some of the recent advances in the subject—the Conway, Jones, and Kauffman polynomials. A supplementary section presents the fundamental group which is a centerpiece of algebraic topology.
Over the last fifteen years, the face of knot theory has changed due to various new theories and invariants coming from physics, topology, combinatorics and alge-bra. It suffices to mention the great progress in knot homology theory (Khovanov homology and Ozsvath-Szabo Heegaard-Floer homology), the A-polynomial which give rise to strong invariants of knots and 3-manifolds, in particular, many new unknot detectors. New to this Edition is a discussion of Heegaard-Floer homology theory and A-polynomial of classical links, as well as updates throughout the text. Knot Theory, Second Edition is notable not only for its expert presentation of knot theory’s state of the art but also for its accessibility. It is valuable as a profes-sional reference and will serve equally well as a text for a course on knot theory.
Book Synopsis Knot Theory by : Vassily Olegovich Manturov
Download or read book Knot Theory written by Vassily Olegovich Manturov and published by CRC Press. This book was released on 2018-04-17 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last fifteen years, the face of knot theory has changed due to various new theories and invariants coming from physics, topology, combinatorics and alge-bra. It suffices to mention the great progress in knot homology theory (Khovanov homology and Ozsvath-Szabo Heegaard-Floer homology), the A-polynomial which give rise to strong invariants of knots and 3-manifolds, in particular, many new unknot detectors. New to this Edition is a discussion of Heegaard-Floer homology theory and A-polynomial of classical links, as well as updates throughout the text. Knot Theory, Second Edition is notable not only for its expert presentation of knot theory’s state of the art but also for its accessibility. It is valuable as a profes-sional reference and will serve equally well as a text for a course on knot theory.
Colin Adams, well-known for his advanced research in topology and knot theory, is the author of this exciting new book that brings his findings and his passion for the subject to a more general audience. This beautifully illustrated comic book is appropriate for many mathematics courses at the undergraduate level such as liberal arts math, and topology. Additionally, the book could easily challenge high school students in math clubs or honors math courses and is perfect for the lay math enthusiast. Each copy of Why Knot? is packaged with a plastic manipulative called the Tangle R. Adams uses the Tangle because "you can open it up, tie it in a knot and then close it up again." The Tangle is the ultimate tool for knot theory because knots are defined in mathematics as being closed on a loop. Readers use the Tangle to complete the experiments throughout the brief volume. Adams also presents a illustrative and engaging history of knot theory from its early role in chemistry to modern applications such as DNA research, dynamical systems, and fluid mechanics. Real math, unreal fun!
Book Synopsis Why Knot? by : Colin Adams
Download or read book Why Knot? written by Colin Adams and published by Springer Science & Business Media. This book was released on 2004-03-29 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: Colin Adams, well-known for his advanced research in topology and knot theory, is the author of this exciting new book that brings his findings and his passion for the subject to a more general audience. This beautifully illustrated comic book is appropriate for many mathematics courses at the undergraduate level such as liberal arts math, and topology. Additionally, the book could easily challenge high school students in math clubs or honors math courses and is perfect for the lay math enthusiast. Each copy of Why Knot? is packaged with a plastic manipulative called the Tangle R. Adams uses the Tangle because "you can open it up, tie it in a knot and then close it up again." The Tangle is the ultimate tool for knot theory because knots are defined in mathematics as being closed on a loop. Readers use the Tangle to complete the experiments throughout the brief volume. Adams also presents a illustrative and engaging history of knot theory from its early role in chemistry to modern applications such as DNA research, dynamical systems, and fluid mechanics. Real math, unreal fun!
“Mr. Petit is the perfect teacher” in this fascinating, educational volume on knot-tying—an art and science that has held civilization together (The Wall Street Journal). Philippe Petit is known for his astounding feat of daring when, on August 7, 1974, he stepped out on a wire illegally rigged between the World Trade Center’s twin towers in New York City. But beyond his balance, courage, and showmanship, there was one thing Petit had to be absolutely certain of—his knots. Without the confidence that his knots would hold, he never would have left the ground. In fact, while most of us don’t think about them beyond tying our shoelaces, the humble knot is crucial in countless contexts, from sailing to sports to industrial safety to art, agriculture, and more. In this truly unique book, Petit offers a guide to tying over sixty of his essential knots, with practical sketches illustrating his methods and clear tying instructions. Filled with photos in which special knots were used during spectacular high-wire walks, quirky knot trivia, personal anecdotes, helpful tips, magic tricks, and special tying challenges, Why Knot? will entertain and educate readers of all ages. “In reading Philippe’s book we are cogently reminded that without the ability to secure a rope, or tether a goat, or make fast the sheets of a galley, much of the civilization that we take for granted would disappear as easily as a slipknot in the hands of a Vegas conjuror.” —Sting, musician and activist “His descriptions are clear, he deploys humor frequently and he makes his points with anecdotes that are colorful and memorable. Explaining the purpose and creation of knots and thanks to those flawless drawings Mr. Petit earns perfect marks.” —The Wall Street Journal
Book Synopsis Why Knot? by : Philippe Petit
Download or read book Why Knot? written by Philippe Petit and published by ABRAMS. This book was released on 2013-04-09 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Mr. Petit is the perfect teacher” in this fascinating, educational volume on knot-tying—an art and science that has held civilization together (The Wall Street Journal). Philippe Petit is known for his astounding feat of daring when, on August 7, 1974, he stepped out on a wire illegally rigged between the World Trade Center’s twin towers in New York City. But beyond his balance, courage, and showmanship, there was one thing Petit had to be absolutely certain of—his knots. Without the confidence that his knots would hold, he never would have left the ground. In fact, while most of us don’t think about them beyond tying our shoelaces, the humble knot is crucial in countless contexts, from sailing to sports to industrial safety to art, agriculture, and more. In this truly unique book, Petit offers a guide to tying over sixty of his essential knots, with practical sketches illustrating his methods and clear tying instructions. Filled with photos in which special knots were used during spectacular high-wire walks, quirky knot trivia, personal anecdotes, helpful tips, magic tricks, and special tying challenges, Why Knot? will entertain and educate readers of all ages. “In reading Philippe’s book we are cogently reminded that without the ability to secure a rope, or tether a goat, or make fast the sheets of a galley, much of the civilization that we take for granted would disappear as easily as a slipknot in the hands of a Vegas conjuror.” —Sting, musician and activist “His descriptions are clear, he deploys humor frequently and he makes his points with anecdotes that are colorful and memorable. Explaining the purpose and creation of knots and thanks to those flawless drawings Mr. Petit earns perfect marks.” —The Wall Street Journal
Knowing the ropes when a catastrophic situation strikes can be the key to survival, and in The Pocket Guide to Prepper Knots, Patty Hahne demonstrates the most important multi-purpose knots preppers should be prepared to know. Illustrated with step-by-step instructions for tying them and the knots being used in various situations, the book covers such topic as: •The uses for various types of ropes as well as their advantages and disadvantages •How putting a knot in a rope affects its overall strength •Why being proficient in a few multi-purpose knots is more beneficial than being vaguely familiar with a large number of knots •And much more The Pocket Guide to Prepper Knots is a valuable addition to any prepper’s book collection. Its compact design makes it easy to carry in a purse or pocket, stored in the car, or slipped into a bug-out bag.
Book Synopsis The Pocket Guide to Prepper Knots by : Patty Hahne
Download or read book The Pocket Guide to Prepper Knots written by Patty Hahne and published by Simon and Schuster. This book was released on 2017-06-06 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: Knowing the ropes when a catastrophic situation strikes can be the key to survival, and in The Pocket Guide to Prepper Knots, Patty Hahne demonstrates the most important multi-purpose knots preppers should be prepared to know. Illustrated with step-by-step instructions for tying them and the knots being used in various situations, the book covers such topic as: •The uses for various types of ropes as well as their advantages and disadvantages •How putting a knot in a rope affects its overall strength •Why being proficient in a few multi-purpose knots is more beneficial than being vaguely familiar with a large number of knots •And much more The Pocket Guide to Prepper Knots is a valuable addition to any prepper’s book collection. Its compact design makes it easy to carry in a purse or pocket, stored in the car, or slipped into a bug-out bag.
From camping to rock climbing, your safety depends on choosing and tying knots correctly. With this handy guide, you can tackle every task from DIY to tying fishing or sailing lines with complete confidence. Knots: The Complete Visual Guide presents the 100 most useful knots for sailing, fishing, camping, climbing, and decorative uses. It explains how to tie highwayman hitches, monkey fists, bowlines, and many other key knots. Its clear uncluttered images show you exactly what to do, taking you from the easiest overhand knot to the decorative Turk's head five-lead four-bight knot. This indispensable book identifies the knot you need. Are you climbing and depend on a failsafe knot? The figure-of-eight's distinctive shape makes it easy to check it has been tied correctly. A slipped-release is useful when you need to untie your knot quickly. And if you ever want to know if a knot has been untied, try the quirky "thief" knot - so-called because a thief will betray their presence by retying it incorrectly. You'll also learn the history behind the different types of knots and the fascinating stories behind how many of them came about. Knots: The Complete Visual Guide is the ideal book to have in hand for whenever a knot is needed.
Book Synopsis Knots:The Complete Visual Guide by : Des Pawson
Download or read book Knots:The Complete Visual Guide written by Des Pawson and published by Penguin. This book was released on 2012-03-19 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: From camping to rock climbing, your safety depends on choosing and tying knots correctly. With this handy guide, you can tackle every task from DIY to tying fishing or sailing lines with complete confidence. Knots: The Complete Visual Guide presents the 100 most useful knots for sailing, fishing, camping, climbing, and decorative uses. It explains how to tie highwayman hitches, monkey fists, bowlines, and many other key knots. Its clear uncluttered images show you exactly what to do, taking you from the easiest overhand knot to the decorative Turk's head five-lead four-bight knot. This indispensable book identifies the knot you need. Are you climbing and depend on a failsafe knot? The figure-of-eight's distinctive shape makes it easy to check it has been tied correctly. A slipped-release is useful when you need to untie your knot quickly. And if you ever want to know if a knot has been untied, try the quirky "thief" knot - so-called because a thief will betray their presence by retying it incorrectly. You'll also learn the history behind the different types of knots and the fascinating stories behind how many of them came about. Knots: The Complete Visual Guide is the ideal book to have in hand for whenever a knot is needed.
Shapiro argues that both realist and anti-realist accounts of mathematics are problematic. To resolve this dilemma, he articulates a "structuralist" approach, arguing that the subject matter of a mathematical theory is not a fixed domain of numbers that exist independent of each other, but rather is the natural structure, the pattern common to any system of objects that has an initial object and successor relation satisfying the induction principle.
Book Synopsis Philosophy of Mathematics by : Stewart Shapiro
Download or read book Philosophy of Mathematics written by Stewart Shapiro and published by Oxford University Press. This book was released on 1997-08-07 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shapiro argues that both realist and anti-realist accounts of mathematics are problematic. To resolve this dilemma, he articulates a "structuralist" approach, arguing that the subject matter of a mathematical theory is not a fixed domain of numbers that exist independent of each other, but rather is the natural structure, the pattern common to any system of objects that has an initial object and successor relation satisfying the induction principle.
This book is a survey of current topics in the mathematical theory of knots. For a mathematician, a knot is a closed loop in 3-dimensional space: imagine knotting an extension cord and then closing it up by inserting its plug into its outlet. Knot theory is of central importance in pure and applied mathematics, as it stands at a crossroads of topology, combinatorics, algebra, mathematical physics and biochemistry. * Survey of mathematical knot theory * Articles by leading world authorities * Clear exposition, not over-technical * Accessible to readers with undergraduate background in mathematics
Book Synopsis Handbook of Knot Theory by : William Menasco
Download or read book Handbook of Knot Theory written by William Menasco and published by Elsevier. This book was released on 2005-08-02 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a survey of current topics in the mathematical theory of knots. For a mathematician, a knot is a closed loop in 3-dimensional space: imagine knotting an extension cord and then closing it up by inserting its plug into its outlet. Knot theory is of central importance in pure and applied mathematics, as it stands at a crossroads of topology, combinatorics, algebra, mathematical physics and biochemistry. * Survey of mathematical knot theory * Articles by leading world authorities * Clear exposition, not over-technical * Accessible to readers with undergraduate background in mathematics
A detailed exposition of the theory with an emphasis on its combinatorial aspects.
Book Synopsis Introduction to Vassiliev Knot Invariants by : S. Chmutov
Download or read book Introduction to Vassiliev Knot Invariants written by S. Chmutov and published by Cambridge University Press. This book was released on 2012-05-24 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: A detailed exposition of the theory with an emphasis on its combinatorial aspects.