Kawauchi, Akio 1948
Overview
Works:  23 works in 68 publications in 3 languages and 1,131 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Contributor 
Publication Timeline
.
Most widely held works by
Akio Kawauchi
Teaching and learning of knot theory in school mathematics by
Akio Kawauchi(
)
13 editions published between 2011 and 2012 in English and held by 465 WorldCat member libraries worldwide
This book is the result of a joint venture between Professor Akio Kawauchi, Osaka City University, wellknown for his research in knot theory, and the Osaka study group of mathematics education, founded by Professor Hirokazu Okamori and now chaired by his successor Professor Tomoko Yanagimoto, Osaka Kyoiku University. The seven chapters address the teaching and learning of knot theory from several perspectives. Readers will find an extremely clear and concise introduction to the fundamentals of knot theory, an overview of curricular developments in Japan, and in particular a series of teaching
13 editions published between 2011 and 2012 in English and held by 465 WorldCat member libraries worldwide
This book is the result of a joint venture between Professor Akio Kawauchi, Osaka City University, wellknown for his research in knot theory, and the Osaka study group of mathematics education, founded by Professor Hirokazu Okamori and now chaired by his successor Professor Tomoko Yanagimoto, Osaka Kyoiku University. The seven chapters address the teaching and learning of knot theory from several perspectives. Readers will find an extremely clear and concise introduction to the fundamentals of knot theory, an overview of curricular developments in Japan, and in particular a series of teaching
A survey of knot theory by
Akio Kawauchi(
Book
)
16 editions published between 1995 and 1996 in English and held by 438 WorldCat member libraries worldwide
"Knot theory is a rapidly developing field of research with many applications not only for mathematics. The present volume, written by a wellknown specialist, gives a complete survey of knot theory from its very beginnings to today's most recent research results. The topics include Alexander polynomials, Jones type polynomials, and Vassiliev invariants. With its appendix containing many useful tables and an extended list of references with over 3,500 entries it is an indispensable book for everyone concerned with knot theory. The book can serve as an introduction to the field for advanced undergraduate and graduate students. Also researchers working in outside areas such as theoretical physics or molecular biology will benefit from this thorough study which is complemented by many exercises and examples."Publisher description
16 editions published between 1995 and 1996 in English and held by 438 WorldCat member libraries worldwide
"Knot theory is a rapidly developing field of research with many applications not only for mathematics. The present volume, written by a wellknown specialist, gives a complete survey of knot theory from its very beginnings to today's most recent research results. The topics include Alexander polynomials, Jones type polynomials, and Vassiliev invariants. With its appendix containing many useful tables and an extended list of references with over 3,500 entries it is an indispensable book for everyone concerned with knot theory. The book can serve as an introduction to the field for advanced undergraduate and graduate students. Also researchers working in outside areas such as theoretical physics or molecular biology will benefit from this thorough study which is complemented by many exercises and examples."Publisher description
Knots 90 : proceedings of the International Conference on Knot Theory and Related Topics, held in Osaka (Japan), August 1519,
1990 by
Akio Kawauchi(
Book
)
13 editions published between 1992 and 1993 in English and German and held by 190 WorldCat member libraries worldwide
13 editions published between 1992 and 1993 in English and German and held by 190 WorldCat member libraries worldwide
Proceedings of the International Conference on Knot Theory and Related Topics : held in Osaka (Japan), August 1519, 1990 by International Conference on Knot Theory and Related Topics(
Book
)
1 edition published in 1992 in English and held by 6 WorldCat member libraries worldwide
1 edition published in 1992 in English and held by 6 WorldCat member libraries worldwide
Senkei daisū kara homorojī e(
Book
)
2 editions published in 2000 in Japanese and held by 4 WorldCat member libraries worldwide
2 editions published in 2000 in Japanese and held by 4 WorldCat member libraries worldwide
Musubime riron to gēmu : ryōiki sentaku gēmu de miru sūgaku no sekai by
Akio Kawauchi(
Book
)
2 editions published in 2013 in Japanese and held by 4 WorldCat member libraries worldwide
2 editions published in 2013 in Japanese and held by 4 WorldCat member libraries worldwide
Intelligence of Low Dimensional Topology 2006 by
J. Scott Carter(
Book
)
1 edition published in 2007 in English and held by 3 WorldCat member libraries worldwide
Ford domain of a certain hyperbolic 3manifold whose boundary consists of a pair of oncepunctured tori  Cohomology for selfdistributivity in coalgebras  Toward an equivariant Khovanov homology  Milnor numbers and the self delta classification of 2string links  Some estimates of the MorseNovikov numbers for knots and links  Obtaining stringminimizing, lengthminimizing braid words for 2bridge links  Smoothing resolution for the AlexanderConway polynomial  Quandle cocycle invariants of torus links  Prime knots with arc index up to 10  padic framed braids and padic Markov traces  Reidemeister torsion and Seifert surgeries on knots in homology 3spheres  Miyazawa polynomials of virtual knots and virtual crossing numbers  Quandles with good involutions, their homologies and knot invariants  Finite type invariants of order 4 for 2component links  The Jones representation of genus 1  Quantum topology and quantum information  The Lmove and virtual braids  Limits of the HOMFLY polynomials of the figureeight knot  Conjectures on the braid index and the algebraic crossing number  On the surfacelink groups  Enumerating 3manifolds by a canonical order  On the existence of a surjective homomorphism between knot groups  The volume of a hyperbolic simplex and iterated integrals  Invariants of surface links in R4 via classical link invariants  Surgery along Brunnian links and finite type invariants of integral homology spheres  The Yamada polynomial for virtual graphs  Arithmetic topology after Hida theory  Gap of the depths of leaves of foliations  Complex analytic realization of links  Achirality of spatial graphs and the Simon invariant  The configuration space of a spider  Equivariant quantum invariants of the infinite cyclic covers of knot complements  What is a welded link?  Higherorder Alexander invariants for homology cobordisms of a surface  Epimorphisms between 2bridge knot groups from the view point of Markoff maps  Sheet numbers and cocycle invariants of surfaceknots  An infinite sequence of nonconjugate 4braids representing the same knot of braid index 4  On tabulation of mutants  A note on CImoves  On applications of correction term to lens space  The CassonWalker invariant and some strongly periodic link  Free genus one knots with large Haken numbers  Yamada polynomial and Khovanov cohomology  A note on limit values of the twisted Alexander invariant associated to knots  Overtwisted open books and Stallings twist  3Manifolds and 4dimensional surgery  Cellcomplexes for tminimal surface diagrams with 4 triple points  An exotic rational surface without 1 or 3handle
1 edition published in 2007 in English and held by 3 WorldCat member libraries worldwide
Ford domain of a certain hyperbolic 3manifold whose boundary consists of a pair of oncepunctured tori  Cohomology for selfdistributivity in coalgebras  Toward an equivariant Khovanov homology  Milnor numbers and the self delta classification of 2string links  Some estimates of the MorseNovikov numbers for knots and links  Obtaining stringminimizing, lengthminimizing braid words for 2bridge links  Smoothing resolution for the AlexanderConway polynomial  Quandle cocycle invariants of torus links  Prime knots with arc index up to 10  padic framed braids and padic Markov traces  Reidemeister torsion and Seifert surgeries on knots in homology 3spheres  Miyazawa polynomials of virtual knots and virtual crossing numbers  Quandles with good involutions, their homologies and knot invariants  Finite type invariants of order 4 for 2component links  The Jones representation of genus 1  Quantum topology and quantum information  The Lmove and virtual braids  Limits of the HOMFLY polynomials of the figureeight knot  Conjectures on the braid index and the algebraic crossing number  On the surfacelink groups  Enumerating 3manifolds by a canonical order  On the existence of a surjective homomorphism between knot groups  The volume of a hyperbolic simplex and iterated integrals  Invariants of surface links in R4 via classical link invariants  Surgery along Brunnian links and finite type invariants of integral homology spheres  The Yamada polynomial for virtual graphs  Arithmetic topology after Hida theory  Gap of the depths of leaves of foliations  Complex analytic realization of links  Achirality of spatial graphs and the Simon invariant  The configuration space of a spider  Equivariant quantum invariants of the infinite cyclic covers of knot complements  What is a welded link?  Higherorder Alexander invariants for homology cobordisms of a surface  Epimorphisms between 2bridge knot groups from the view point of Markoff maps  Sheet numbers and cocycle invariants of surfaceknots  An infinite sequence of nonconjugate 4braids representing the same knot of braid index 4  On tabulation of mutants  A note on CImoves  On applications of correction term to lens space  The CassonWalker invariant and some strongly periodic link  Free genus one knots with large Haken numbers  Yamada polynomial and Khovanov cohomology  A note on limit values of the twisted Alexander invariant associated to knots  Overtwisted open books and Stallings twist  3Manifolds and 4dimensional surgery  Cellcomplexes for tminimal surface diagrams with 4 triple points  An exotic rational surface without 1 or 3handle
Knot theory for scientific objects : proceedings of the International Workshop on Knot Theory for Scientific Objects held
in Osaka (Japan), March 810, 2006 by International Workshop on Knot Theory for Scientific Objects(
Book
)
1 edition published in 2007 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2007 in English and held by 2 WorldCat member libraries worldwide
Rekuchā musubime riron(
Book
)
2 editions published in 2007 in Japanese and held by 2 WorldCat member libraries worldwide
2 editions published in 2007 in Japanese and held by 2 WorldCat member libraries worldwide
Musubime no sūgaku kyōiku eno dōnyū : shōgakusei chūgakusei kōkōsei o taishō to shite(
Book
)
1 edition published in 2005 in Japanese and held by 2 WorldCat member libraries worldwide
1 edition published in 2005 in Japanese and held by 2 WorldCat member libraries worldwide
Knots and physics by
Louis H Kauffman(
Book
)
2 editions published in 1995 in Japanese and held by 2 WorldCat member libraries worldwide
An introduction to knot and link invariants as generalised amplitudes for a quasiphysical process. The demands of knot theory, coupled with a quantumstatistical framework, create a context that naturally and powerfully includes an extraordinary range of interrelated topics in topology and mathematical physics
2 editions published in 1995 in Japanese and held by 2 WorldCat member libraries worldwide
An introduction to knot and link invariants as generalised amplitudes for a quasiphysical process. The demands of knot theory, coupled with a quantumstatistical framework, create a context that naturally and powerfully includes an extraordinary range of interrelated topics in topology and mathematical physics
Musubime riron(
Book
)
2 editions published in 1990 in Japanese and held by 2 WorldCat member libraries worldwide
2 editions published in 1990 in Japanese and held by 2 WorldCat member libraries worldwide
Musubime no sūgaku kyōiku eno dōnyū : Shōgakusei chūgakusei kōkōsei o taishō to shite(
Book
)
1 edition published in 2009 in Japanese and held by 1 WorldCat member library worldwide
1 edition published in 2009 in Japanese and held by 1 WorldCat member library worldwide
Knotting problem ni tsuite(
Book
)
2 editions published in 1974 in Japanese and held by 1 WorldCat member library worldwide
2 editions published in 1974 in Japanese and held by 1 WorldCat member library worldwide
Musubime no riron(
Book
)
1 edition published in 2015 in Japanese and held by 1 WorldCat member library worldwide
1 edition published in 2015 in Japanese and held by 1 WorldCat member library worldwide
Musubime no sūgaku kyōiku eno dōnyū : shōgakusei chūgakusei kōkōsei o taishō to shite 5(
Book
)
1 edition published in 2017 in Japanese and held by 1 WorldCat member library worldwide
1 edition published in 2017 in Japanese and held by 1 WorldCat member library worldwide
Musubime no sūgaku kyōiku eno dōnyū : Shōgakusei chūgakusei kōkōsei o taishō to shite : 21seiki COE puroguramu musubime
o shōten to suru kōkakudo no sūgaku kyoten no keisei ni okeru kyōikuteki katsudō(
Book
)
1 edition published in 2007 in Japanese and held by 1 WorldCat member library worldwide
1 edition published in 2007 in Japanese and held by 1 WorldCat member library worldwide
Knots 90 : proceedings of the international conference on knot theory and related topics, Osaka, August 1519, 1990(
Book
)
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
Knots 90 : International conference on knot theory and related topics : Papers(
Book
)
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
Knot 90 : proceedings of the International Conference on Knot theory and related topics : Osaka, August 1519, 1990 by International Conference on Knot Theory and Related Topics(
Book
)
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
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