On Types of Knotted Curves
Author: Garland B. Briggs
Publisher:
Published: 1927
Total Pages: 38
ISBN-13:
DOWNLOAD EBOOKPosts
Mathematics
Author: Keith J. Devlin
Publisher: Columbia University Press
Published: 1999
Total Pages: 340
ISBN-13: 9780231116398
DOWNLOAD EBOOKA modern classic by an accomplished mathematician and best-selling author has been updated to encompass and explain the recent headline-making advances in the field in non-technical terms.
The Knot Book
Author: Colin Conrad Adams
Publisher: American Mathematical Soc.
Published: 2004
Total Pages: 330
ISBN-13: 0821836781
DOWNLOAD EBOOKKnots are familiar objects. Yet the mathematical theory of knots quickly leads to deep results in topology and geometry. This work offers an introduction to this theory, starting with our understanding of knots. It presents the applications of knot theory to modern chemistry, biology and physics.
Canadian Journal of Mathematics
Author:
Publisher:
Published: 1950
Total Pages: 128
ISBN-13:
DOWNLOAD EBOOKKnots and Links
Author: Dale Rolfsen
Publisher: American Mathematical Soc.
Published: 2003
Total Pages: 458
ISBN-13: 0821834363
DOWNLOAD EBOOKRolfsen's beautiful book on knots and links can be read by anyone, from beginner to expert, who wants to learn about knot theory. Beginners find an inviting introduction to the elements of topology, emphasizing the tools needed for understanding knots, the fundamental group and van Kampen's theorem, for example, which are then applied to concrete problems, such as computing knot groups. For experts, Rolfsen explains advanced topics, such as the connections between knot theory and surgery and how they are useful to understanding three-manifolds. Besides providing a guide to understanding knot theory, the book offers 'practical' training. After reading it, you will be able to do many things: compute presentations of knot groups, Alexander polynomials, and other invariants; perform surgery on three-manifolds; and visualize knots and their complements.It is characterized by its hands-on approach and emphasis on a visual, geometric understanding. Rolfsen offers invaluable insight and strikes a perfect balance between giving technical details and offering informal explanations. The illustrations are superb, and a wealth of examples are included. Now back in print by the AMS, the book is still a standard reference in knot theory. It is written in a remarkable style that makes it useful for both beginners and researchers. Particularly noteworthy is the table of knots and links at the end. This volume is an excellent introduction to the topic and is suitable as a textbook for a course in knot theory or 3-manifolds. Other key books of interest on this topic available from the AMS are ""The Shoelace Book: A Mathematical Guide to the Best (and Worst) Ways to Lace your Shoes"" and ""The Knot Book.""
Reading Images and Seeing Words
Author:
Publisher: BRILL
Published: 2021-11-01
Total Pages: 200
ISBN-13: 9004486704
DOWNLOAD EBOOKThe simultaneously tautological and oxymoronic nature of word / image relations has become a subject of massive debate in the post-modern period. This is not only because of the increasing predominance of word / image messages within our modern media-saturated culture, but also because intellectual disciplines are becoming increasingly sensitized to the essentially hybrid nature of the way we construct meaning in the world. The essays in this volume offer an exemplary insight into both aspects of this phenomenon. Focussing on both traditional and modern media (theatre, fiction, poetry, graphic art, cinema), the essays of Reading Images and Seeing Words are deeply concerned to show how it is according to signifying codes (rhetoric, poetics, metaphor), that meaning and knowledge are produced. Not the least value of this collection is the insight it gives into the multiple models of word / image interaction and the rich ambiguity of the tautological and oxymoronic relations they embody.
Knot Theory and Its Applications
Author: Kunio Murasugi
Publisher: Springer Science & Business Media
Published: 2009-12-29
Total Pages: 348
ISBN-13: 0817647198
DOWNLOAD EBOOKThis book introduces the study of knots, providing insights into recent applications in DNA research and graph theory. It sets forth fundamental facts such as knot diagrams, braid representations, Seifert surfaces, tangles, and Alexander polynomials. It also covers more recent developments and special topics, such as chord diagrams and covering spaces. The author avoids advanced mathematical terminology and intricate techniques in algebraic topology and group theory. Numerous diagrams and exercises help readers understand and apply the theory. Each chapter includes a supplement with interesting historical and mathematical comments.
A Survey of Knot Theory
Author: Akio Kawauchi
Publisher: Birkhäuser
Published: 2012-12-06
Total Pages: 431
ISBN-13: 3034892276
DOWNLOAD EBOOKKnot theory is a rapidly developing field of research with many applications, not only for mathematics. The present volume, written by a well-known specialist, gives a complete survey of this theory from its very beginnings to today's most recent research results. An indispensable book for everyone concerned with knot theory.
Mechanically Interlocked Materials
Author: Emilio M. Perez
Publisher: John Wiley & Sons
Published: 2024-06-04
Total Pages: 309
ISBN-13: 3527347933
DOWNLOAD EBOOKMechanically Interlocked Materials Comprehensive one-stop resource on the emerging world of mechanically interlocked materials (MIMats) Mechanically Interlocked Materials provides a thorough overview of the new emerging field in supramolecular chemistry. Edited by one of the leading researchers in the field, Mechanically Interlocked Materials includes information on: Types of MIMats, such as metal organic frameworks, polymers, carbon nanotubes, nanoparticles, and others Main advantages/disadvantages of the mechanical bond of MIMats with respect to covalent or supramolecular alternatives Mechanically interlocked (MI) electronics, molecular materials, nano and micro particles, nucleic acids, and proteins Force in MIMs, MIMs on surfaces, polycatenanes, sliding ring gels, and potential applications of MIMats as molecular switches and binary materials With comprehensive coverage of an important emerging field, Mechanically Interlocked Materials is an essential resource for students and professionals in a variety of scientific fields, including organic, inorganic, supramolecular, and physical chemistry, physics, materials science, and nanotechnology.
Computational Problems in Abstract Algebra
Author: John Leech
Publisher: Elsevier
Published: 2014-05-17
Total Pages: 413
ISBN-13: 1483159426
DOWNLOAD EBOOKComputational Problems in Abstract Algebra provides information pertinent to the application of computers to abstract algebra. This book discusses combinatorial problems dealing with things like generation of permutations, projective planes, orthogonal latin squares, graphs, difference sets, block designs, and Hadamard matrices. Comprised of 35 chapters, this book begins with an overview of the methods utilized in and results obtained by programs for the investigation of groups. This text then examines the method for establishing the order of a finite group defined by a set of relations satisfied by its generators. Other chapters describe the modification of the Todd–Coxeter coset enumeration process. This book discusses as well the difficulties that arise with multiplication and inverting programs, and of some ways to avoid or overcome them. The final chapter deals with the computational problems related to invariant factors in linear algebra. Mathematicians as well as students of algebra will find this book useful.
