Cut the Knot

Author: Alexander Bogomolny
Publisher: Wolfram Media
ISBN: 9781579550417
Category :
Languages : en
Pages : 310

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

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

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

Author: Kunio Murasugi
Publisher: Springer Science & Business Media
ISBN: 0817647198
Category : Mathematics
Languages : en
Pages : 348

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.

Winning Ways for Your Mathematical Plays

Author: Elwyn R. Berlekamp
Publisher: CRC Press
ISBN: 0429945590
Category : Mathematics
Languages : en
Pages : 343

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

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

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.

Cutting the Gordian Knot of Economic Reform

Author: Leonardo Baccini
Publisher: Oxford University Press, USA
ISBN: 0199388997
Category : Business & Economics
Languages : en
Pages : 281

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. It takes a comparative look at developing countries that have engaged in preferential trading agreements with the United States and European Union to develop a theory of when and how leaders enter into international institutions to effect economic reform.

Kiselev's Geometry

Author: Andreĭ Petrovich Kiselev
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 192

Book Description
This volume completes the English adaptation of a classical Russian textbook in elementary Euclidean geometry. The 1st volume subtitled "Book I. Planimetry" was published in 2006 (ISBN 0977985202). This 2nd volume (Book II. Stereometry) covers solid geometry, and contains a chapter on vectors, foundations, and introduction in non-Euclidean geometry added by the translator. The book intended for high-school and college students, and their teachers. Includes 317 exercises, index, and bibliography.

The Knot Ultimate Wedding Planner and Organizer, Revised and Updated [binder]

Author: Editors of The Knot
Publisher: Clarkson Potter
ISBN: 0593139631
Category : Reference
Languages : en
Pages : 145

Book Description
From the #1 wedding website, The Knot, comes their bestselling binder—the indispensable organizer and planner that hundreds of thousands of married-couples-to-be have relied on—now completely revised and updated for a wide variety of ceremonies. The go-to online resource that has been helping couples plan their wedding ceremonies for more than twenty-five years, The Knot has compiled all their essential planning tools into this beautiful wedding binder that features a linen-textured cover and foil stamping. In addition to dozens of ideas brand-new to this edition, you will find: Detailed timelines and worksheets for scheduling and budgeting Planning and money-saving tips on everything from the dress to the music to the reception decor 8 tabbed dividers packed with visual inspiration, including more than 100 brand-new color photos of updated centerpieces, table settings, favors, and more Extensive information on choosing your vendors, including checklists of key questions to ask Inclusive ideas for modern weddings, including inspiration for LGBTQ+, multicultural, interfaith, and nontraditional ceremonies A PVC pocket for collecting tear sheets, important contracts, and business cards Removable stickers on the front, spine, and back so you can make the binder your own Since it first published in 1999, The Knot Ultimate Wedding Planner & Organizer has become a go-to resource and guide for anyone preparing to say "I do." Now updated for today's couples, it's also a lovely keepsake after the meaningful, joyful, and customized celebration you're sure to have.

Knots and Links

Author: Dale Rolfsen
Publisher: American Mathematical Soc.
ISBN: 0821834363
Category : Mathematics
Languages : en
Pages : 458

Book Description
Rolfsen'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, Writing, and Proving

Author: Ulrich Daepp
Publisher: Springer Science & Business Media
ISBN: 0387215603
Category : Mathematics
Languages : en
Pages : 391

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.