Author: Charilaos N. Aneziris
Publisher: World Scientific
ISBN: 9810238789
Category : Mathematics
Languages : en
Pages : 410
Book Description
One of the most significant unsolved problems in mathematics is the complete classification of knots. The main purpose of this book is to introduce the reader to the use of computer programming to obtain the table of knots. The author presents this problem as clearly and methodically as possible, starting from the very basics. Mathematical ideas and concepts are extensively discussed, and no advanced background is required.
Knots and Surfaces
Author: David W. Farmer
Publisher: American Mathematical Soc.
ISBN: 9780821872659
Category : Mathematics
Languages : en
Pages : 116
Book Description
In most mathematics textbooks, the most exciting part of mathematics - the process of invention and discovery - is completely hidden from the student. The aim of Knots and Surfaces is to change all that. Knots and Surfaces guides the reader through Euler's formula, one and two-sided surfaces, and knot theory using games and examples. By means of a series of carefully selected tasks, this book leads the reader on to discover some real mathematics. There are no formulas to memorize; no procedures to follow. This book is a guide to the mathematics - it starts you in the right direction and brings you back if you stray too far. Discovery is left to you. This book is aimed at undergraduates and those with little background knowledge of mathematics.
Publisher: American Mathematical Soc.
ISBN: 9780821872659
Category : Mathematics
Languages : en
Pages : 116
Book Description
In most mathematics textbooks, the most exciting part of mathematics - the process of invention and discovery - is completely hidden from the student. The aim of Knots and Surfaces is to change all that. Knots and Surfaces guides the reader through Euler's formula, one and two-sided surfaces, and knot theory using games and examples. By means of a series of carefully selected tasks, this book leads the reader on to discover some real mathematics. There are no formulas to memorize; no procedures to follow. This book is a guide to the mathematics - it starts you in the right direction and brings you back if you stray too far. Discovery is left to you. This book is aimed at undergraduates and those with little background knowledge of mathematics.
Geoff Wilson's Fishing Knots & Rigs
Author: Geoff Wilson
Publisher: Australian Fishing Network
ISBN: 9781865131849
Category : Sports & Recreation
Languages : en
Pages : 72
Book Description
Book & DVD. Geoff has been tying and testing fishing knots for over forty years and his knowledge in this field is second to none. This Special Edition of his world-wide best selling book comes in an instructional / interactive book / DVD format featuring Geoff tying his own preferred knots and rigs. Running over 144 minutes, the DVD covers how to tie knots in clear and precise detail. As we all know, the best way to learn how to tie a knot is to actually see it done! This book will be an instant best seller and is attractively presented in a hard cover edition, ideal as a gift for the discerning angler wanting to expand their fishing knowledge.
Publisher: Australian Fishing Network
ISBN: 9781865131849
Category : Sports & Recreation
Languages : en
Pages : 72
Book Description
Book & DVD. Geoff has been tying and testing fishing knots for over forty years and his knowledge in this field is second to none. This Special Edition of his world-wide best selling book comes in an instructional / interactive book / DVD format featuring Geoff tying his own preferred knots and rigs. Running over 144 minutes, the DVD covers how to tie knots in clear and precise detail. As we all know, the best way to learn how to tie a knot is to actually see it done! This book will be an instant best seller and is attractively presented in a hard cover edition, ideal as a gift for the discerning angler wanting to expand their fishing knowledge.
Topics in Knot Theory
Author: M.E. Bozhüyük
Publisher: Springer Science & Business Media
ISBN: 9780792322856
Category : Mathematics
Languages : en
Pages : 378
Book Description
Topics in Knot Theory is a state of the art volume which presents surveys of the field by the most famous knot theorists in the world. It also includes the most recent research work by graduate and postgraduate students. The new ideas presented cover racks, imitations, welded braids, wild braids, surgery, computer calculations and plottings, presentations of knot groups and representations of knot and link groups in permutation groups, the complex plane and/or groups of motions. For mathematicians, graduate students and scientists interested in knot theory.
Publisher: Springer Science & Business Media
ISBN: 9780792322856
Category : Mathematics
Languages : en
Pages : 378
Book Description
Topics in Knot Theory is a state of the art volume which presents surveys of the field by the most famous knot theorists in the world. It also includes the most recent research work by graduate and postgraduate students. The new ideas presented cover racks, imitations, welded braids, wild braids, surgery, computer calculations and plottings, presentations of knot groups and representations of knot and link groups in permutation groups, the complex plane and/or groups of motions. For mathematicians, graduate students and scientists interested in knot theory.
Devil's Knot
Author: Mara Leveritt
Publisher: Simon and Schuster
ISBN: 9780743417600
Category : Law
Languages : en
Pages : 444
Book Description
The award-winning investigative journalist takes readers deep inside the 1993 slayings of three boys in West Memphis, Arkansas, revealing the overzealous prosecution that may have improperly convicted three teenagers.
Publisher: Simon and Schuster
ISBN: 9780743417600
Category : Law
Languages : en
Pages : 444
Book Description
The award-winning investigative journalist takes readers deep inside the 1993 slayings of three boys in West Memphis, Arkansas, revealing the overzealous prosecution that may have improperly convicted three teenagers.
Knot Theory
Author: Vassily Olegovich Manturov
Publisher: CRC Press
ISBN: 0203402847
Category : Mathematics
Languages : en
Pages : 417
Book Description
Since discovery of the Jones polynomial, knot theory has enjoyed a virtual explosion of important results and now plays a significant role in modern mathematics. In a unique presentation with contents not found in any other monograph, Knot Theory describes, with full proofs, the main concepts and the latest investigations in the field. The book is divided into six thematic sections. The first part discusses "pre-Vassiliev" knot theory, from knot arithmetics through the Jones polynomial and the famous Kauffman-Murasugi theorem. The second part explores braid theory, including braids in different spaces and simple word recognition algorithms. A section devoted to the Vassiliev knot invariants follows, wherein the author proves that Vassiliev invariants are stronger than all polynomial invariants and introduces Bar-Natan's theory on Lie algebra respresentations and knots. The fourth part describes a new way, proposed by the author, to encode knots by d-diagrams. This method allows the encoding of topological objects by words in a finite alphabet. Part Five delves into virtual knot theory and virtualizations of knot and link invariants. This section includes the author's own important results regarding new invariants of virtual knots. The book concludes with an introduction to knots in 3-manifolds and Legendrian knots and links, including Chekanov's differential graded algebra (DGA) construction. Knot Theory 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 professional reference and will serve equally well as a text for a course on knot theory.
Publisher: CRC Press
ISBN: 0203402847
Category : Mathematics
Languages : en
Pages : 417
Book Description
Since discovery of the Jones polynomial, knot theory has enjoyed a virtual explosion of important results and now plays a significant role in modern mathematics. In a unique presentation with contents not found in any other monograph, Knot Theory describes, with full proofs, the main concepts and the latest investigations in the field. The book is divided into six thematic sections. The first part discusses "pre-Vassiliev" knot theory, from knot arithmetics through the Jones polynomial and the famous Kauffman-Murasugi theorem. The second part explores braid theory, including braids in different spaces and simple word recognition algorithms. A section devoted to the Vassiliev knot invariants follows, wherein the author proves that Vassiliev invariants are stronger than all polynomial invariants and introduces Bar-Natan's theory on Lie algebra respresentations and knots. The fourth part describes a new way, proposed by the author, to encode knots by d-diagrams. This method allows the encoding of topological objects by words in a finite alphabet. Part Five delves into virtual knot theory and virtualizations of knot and link invariants. This section includes the author's own important results regarding new invariants of virtual knots. The book concludes with an introduction to knots in 3-manifolds and Legendrian knots and links, including Chekanov's differential graded algebra (DGA) construction. Knot Theory 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 professional reference and will serve equally well as a text for a course on knot theory.
Modeling Time-Varying Unconditional Variance by Means of a Free-Knot Spline-GARCH Model
Author: Oliver Old
Publisher: Springer Nature
ISBN: 3658386185
Category : Business & Economics
Languages : en
Pages : 260
Book Description
The book addresses the problem of a time-varying unconditional variance of return processes utilizing a spline function. The knots of the spline functions are estimated as free parameters within a joined estimation process together with the parameters of the mean, the conditional variance and the spline function. With the help of this method, the knots are placed in regions where the unconditional variance is not smooth. The results are tested within an extensive simulation study and an empirical study employing the S&P500 index.
Publisher: Springer Nature
ISBN: 3658386185
Category : Business & Economics
Languages : en
Pages : 260
Book Description
The book addresses the problem of a time-varying unconditional variance of return processes utilizing a spline function. The knots of the spline functions are estimated as free parameters within a joined estimation process together with the parameters of the mean, the conditional variance and the spline function. With the help of this method, the knots are placed in regions where the unconditional variance is not smooth. The results are tested within an extensive simulation study and an empirical study employing the S&P500 index.
The Book of Knots
Author: Geoffrey Budworth
Publisher: Ivy Press
ISBN: 0711257426
Category : Crafts & Hobbies
Languages : en
Pages : 178
Book Description
The fundamental skill of tying knots is useful in countless situations, both indoors and out. The Book of Knots teaches you which knot to choose and exactly how to tie it, whether you’re constructing a trout fly, repairing a hammock, mooring a boat, securing a load to a car roof rack, or engaging in a rescue or survival situation. This invaluable manual explains through clear line diagrams and step-by-step descriptions how to tie more than 125 practical knots.
Publisher: Ivy Press
ISBN: 0711257426
Category : Crafts & Hobbies
Languages : en
Pages : 178
Book Description
The fundamental skill of tying knots is useful in countless situations, both indoors and out. The Book of Knots teaches you which knot to choose and exactly how to tie it, whether you’re constructing a trout fly, repairing a hammock, mooring a boat, securing a load to a car roof rack, or engaging in a rescue or survival situation. This invaluable manual explains through clear line diagrams and step-by-step descriptions how to tie more than 125 practical knots.
Des Pawson's Knot Craft
Author: Des Pawson
Publisher: A&C Black
ISBN: 1408107813
Category : Sports & Recreation
Languages : en
Pages : 113
Book Description
Now in a new larger format, this treasure trove of Des Pawson's personal ropecraft recipes contains projects ranging from bellropes, key fobs and fenders to mats, doorstops, knife lanyards and belts. Along with fascinating tit bits of nautical history as background to many projects and guidance as to how they can be the starting point for many other items, Des gives step-by-step instructions on how to put these knots together to form the finished article, and advice on the size and lengths of the materials required - just as you would expect from a recipe book. With this book to hand, readers will have the confidence to start making desirable objects with knots because, as Des says, this is the book that makes all other knot books work! 'Each chapter begins with some background or history, and you'll certainly never look at a frayed off-cut of rope in quite the same way again.' Classic Boat 'A must' Waterways World 'A gem of a book' Canal Boat and Inland Waterways
Publisher: A&C Black
ISBN: 1408107813
Category : Sports & Recreation
Languages : en
Pages : 113
Book Description
Now in a new larger format, this treasure trove of Des Pawson's personal ropecraft recipes contains projects ranging from bellropes, key fobs and fenders to mats, doorstops, knife lanyards and belts. Along with fascinating tit bits of nautical history as background to many projects and guidance as to how they can be the starting point for many other items, Des gives step-by-step instructions on how to put these knots together to form the finished article, and advice on the size and lengths of the materials required - just as you would expect from a recipe book. With this book to hand, readers will have the confidence to start making desirable objects with knots because, as Des says, this is the book that makes all other knot books work! 'Each chapter begins with some background or history, and you'll certainly never look at a frayed off-cut of rope in quite the same way again.' Classic Boat 'A must' Waterways World 'A gem of a book' Canal Boat and Inland Waterways