Cut the Knot

Cut the Knot PDF Author: Alexander Bogomolny
Publisher: Wolfram Media
ISBN: 9781579550417
Category :
Languages : en
Pages : 310

Get Book

Book Description
He who untied the Gordian knot would rule all of Asia So goes the legend of the tricky knot of Gordius, king of Phrygia.Many had tried; many had failed, but Alexander the Great simplycut the knot with his sword. He went on to conquer most of Asia, eventually reaching as far east as Northern India. Cut the Knot is a book of probability riddles curated to challenge the mind andexpand mathematical and logical thinking skills. First housed on cut-the-knot.org, these puzzles and their solutions represent the efforts of great minds around theworld. Follow along as Alexander Bogomolny presents these selected riddles bytopical progression. Try them for yourself before reading their solutions. Just like itwas for Alexander the Great, the non-trivial, unexpected solution might be exactlythe one you need.

Cut the Knot

Cut the Knot PDF Author: Alexander Bogomolny
Publisher: Wolfram Media
ISBN: 9781579550417
Category :
Languages : en
Pages : 310

Get Book

Book Description
He who untied the Gordian knot would rule all of Asia So goes the legend of the tricky knot of Gordius, king of Phrygia.Many had tried; many had failed, but Alexander the Great simplycut the knot with his sword. He went on to conquer most of Asia, eventually reaching as far east as Northern India. Cut the Knot is a book of probability riddles curated to challenge the mind andexpand mathematical and logical thinking skills. First housed on cut-the-knot.org, these puzzles and their solutions represent the efforts of great minds around theworld. Follow along as Alexander Bogomolny presents these selected riddles bytopical progression. Try them for yourself before reading their solutions. Just like itwas for Alexander the Great, the non-trivial, unexpected solution might be exactlythe one you need.

The Knot Book

The Knot Book PDF Author: Colin Conrad Adams
Publisher: American Mathematical Soc.
ISBN: 0821836781
Category : Mathematics
Languages : en
Pages : 330

Get Book

Book Description
Knots 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.

Knot Theory and Its Applications

Knot Theory and Its Applications PDF Author: Kunio Murasugi
Publisher: Springer Science & Business Media
ISBN: 0817647198
Category : Mathematics
Languages : en
Pages : 348

Get Book

Book Description
This 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.

Reforming Federal Land Management

Reforming Federal Land Management PDF Author: Allan K. Fitzsimmons
Publisher: Rowman & Littlefield
ISBN: 1442215968
Category : Law
Languages : en
Pages : 189

Get Book

Book Description
For over a century, American have created laws, processes, objectives, priorities, and rules for federal land management that often conflict with each other. We now have inconsistent laws, unclear priorities, procedural mazes, and an antiquated bureaucratic structure. The result is a loss of public benefits and undesirable impact on natural resources. The author argues for major changes and offers new ideas for how those changes can be accomplished.

Cutting the Gordian Knot of Economic Reform

Cutting the Gordian Knot of Economic Reform PDF Author: Leonardo Baccini
Publisher: Oxford University Press, USA
ISBN: 0199388997
Category : Business & Economics
Languages : en
Pages : 281

Get Book

Book Description
During the past two decades, governments across the developing world have implemented many liberal economic reforms. 'Cutting the Gordian Knot of Economic Reform' shows that international institutions - formal agreements that govern policy formation in member states - made possible some of the most important reforms in developing countries.

Reading, Writing, and Proving

Reading, Writing, and Proving PDF Author: Ulrich Daepp
Publisher: Springer Science & Business Media
ISBN: 0387215603
Category : Mathematics
Languages : en
Pages : 395

Get Book

Book Description
This book, based on Pólya's method of problem solving, aids students in their transition to higher-level mathematics. It begins by providing a great deal of guidance on how to approach definitions, examples, and theorems in mathematics and ends by providing projects for independent study. Students will follow Pólya's four step process: learn to understand the problem; devise a plan to solve the problem; carry out that plan; and look back and check what the results told them.

Winning Ways for Your Mathematical Plays

Winning Ways for Your Mathematical Plays PDF Author: Elwyn R. Berlekamp
Publisher: CRC Press
ISBN: 0429945558
Category : Mathematics
Languages : en
Pages : 296

Get Book

Book Description
This classic on games and how to play them intelligently is being re-issued in a new, four volume edition. This book has laid the foundation to a mathematical approach to playing games. The wise authors wield witty words, which wangle wonderfully winning ways. In Volume 1, the authors do the Spade Work, presenting theories and techniques to "dissect" games of varied structures and formats in order to develop winning strategies.

Mathematical Puzzles

Mathematical Puzzles PDF Author: Peter Winkler
Publisher: CRC Press
ISBN: 0429557973
Category : Mathematics
Languages : en
Pages : 392

Get Book

Book Description
Research in mathematics is much more than solving puzzles, but most people will agree that solving puzzles is not just fun: it helps focus the mind and increases one's armory of techniques for doing mathematics. Mathematical Puzzles makes this connection explicit by isolating important mathematical methods, then using them to solve puzzles and prove a theorem. Features A collection of the world’s best mathematical puzzles Each chapter features a technique for solving mathematical puzzles, examples, and finally a genuine theorem of mathematics that features that technique in its proof Puzzles that are entertaining, mystifying, paradoxical, and satisfying; they are not just exercises or contest problems.

An Introduction to Knot Theory

An Introduction to Knot Theory PDF Author: W.B.Raymond Lickorish
Publisher: Springer Science & Business Media
ISBN: 146120691X
Category : Mathematics
Languages : en
Pages : 213

Get Book

Book Description
A selection of topics which graduate students have found to be a successful introduction to the field, employing three distinct techniques: geometric topology manoeuvres, combinatorics, and algebraic topology. Each topic is developed until significant results are achieved and each chapter ends with exercises and brief accounts of the latest research. What may reasonably be referred to as knot theory has expanded enormously over the last decade and, while the author describes important discoveries throughout the twentieth century, the latest discoveries such as quantum invariants of 3-manifolds as well as generalisations and applications of the Jones polynomial are also included, presented in an easily intelligible style. Readers are assumed to have knowledge of the basic ideas of the fundamental group and simple homology theory, although explanations throughout the text are numerous and well-done. Written by an internationally known expert in the field, this will appeal to graduate students, mathematicians and physicists with a mathematical background wishing to gain new insights in this area.

Problems for Metagrobologists

Problems for Metagrobologists PDF Author: David Singmaster
Publisher: World Scientific
ISBN: 9814663654
Category : Games & Activities
Languages : en
Pages : 247

Get Book

Book Description
This book is a collection of over 200 problems that David Singmaster has composed since 1987. Some of the math problems have appeared in his various puzzle columns for BBC Radio and TV, Canadian Broadcasting, Focus (the UK popular science magazine), Games and Puzzles, the Los Angeles Times, Micromath, the Puzzle a Day memo pad and the Weekend Telegraph. While some of these are already classics, many of the puzzles have not been published elsewhere previously. Puzzle enthusiasts of all ages will find here arithmetic problems, properties of digits; monetary problems; alpha-metics; Diophantine problems; magic figures; sequence problems; logical problems; geometric problems; physics problems; combinatorial problems; geographic problems; calendar problems; clock problems; dissection problems and verbal problems.