Copyright Year 2023
Available for pre-order on October 28, 2022. Item will ship after November 18, 2022
ISBN 9781032352923
November 18, 2022 Forthcoming by A K Peters/CRC Press
472 Pages 324 B/W Illustrations
Mathematical Recreations from the Tournament of the Towns contains the complete list of problems and solutions to the International Mathematics Tournament of the Towns from Fall 2007 to Spring 2021.
The primary audience for this book is the army of recreational mathematicians united under the banner of Martin Gardner. It should also have great value to students preparing for mathematics competitions and trainers of such students. This book also provides an entry point for students in upper elementary schools.
Huge recreational value to mathematics enthusiasts
Accessible to upper-level high school students
Problems classified by topics such as two-player games, weighing problems, mathematical tasks etc.
Part I: Mathematical Recreations. Problems. Answers. Part II: Mathematics Education. Arithmetical Recreations. Geometrical Recreations. Combinatorial Recreations. Solutions. Part III: International Mathematics. Tournament of the Towns. Tournament 29. Tournament 30. Tournament 31. Tournament 32. Tournament 33. Tournament 34. Tournament 35. Tournament 36. Tournament 37. Tournament 38. Tournament 39. Tournament 40. Tournament 41. Tournament 42. Solutions.
MAA Press: An Imprint of the American Mathematical Society
Anneli Lax New Mathematical Library Volume: 55;
2022; 209 pp; Softcover
MSC: Primary 00;
Print ISBN: 978-1-4704-6858-3
gBut when I turned the handle on the door, suddenly the buzzing went crazy. I slapped my hands over my ears, when I should have jerked the door shut. It flew open, and I was face-to-face with the Weierstrass function. It was the ugliest function I could imagine, with kinks, and kinks on kinks and kinks on those. And it was shrieking in its buzz-like way, vibrating all over like a plucked string. I stood there, frozen for just a second, and then I was sprinting after the others, with the wild frantic buzzing right behind me.h
From the twisted imagination of best-selling author Colin Adams (Zombies & Calculus, The Knot Book) comes this tale of sixteen-year-old Kallie trying to escape death at the hands of the exhibits in a mathematics museum. Kallie crosses paths with Carl Gauss, Bertrand Russell, Sophie Germain, G. H. Hardy, and John von Neumann, as she tries to save herself, her dad, and his colleague Maria from the deadly Hairy Ball theorem, the harrowing Hilbert Hotel, the bisecting Ham Sandwich machine, and a variety of other mathematical menaces. It's a wild romp through a mathematical bestiary featuring the bizarre, the exotic, and the counterintuitive. You'll never think of math the same way again.
Undergraduate students interested in popular exposition.
Student Mathematical Library Volume: 97;
2022; 254 pp; Softcover
MSC: Primary 05; 68;
Print ISBN: 978-1-4704-6763-0
Graphs measure interactions between objects such as friendship links on Twitter, transactions between Bitcoin users, and the flow of energy in a food chain. While graphs statically represent interacting systems, they may also be used to model dynamic interactions. For example, imagine an invisible evader loose on a graph, leaving only behind breadcrumb clues to their whereabouts. You set out with pursuers of your own, seeking out the evader's location. Would you be able to detect their location? If so, then how many resources are needed for detection, and how fast can that happen? These basic-seeming questions point towards the broad conceptual framework of pursuit-evasion games played on graphs. Central to pursuit-evasion games on graphs is the idea of optimizing certain parameters, whether they are the cop number, burning number, or localization number, for example.
This book would be excellent for a second course in graph theory at the undergraduate or graduate level. It surveys different areas in graph searching and highlights many fascinating topics intersecting classical graph theory, geometry, and combinatorial designs. Each chapter ends with approximately twenty exercises and five larger scale projects.
Undergraduate and graduate students and researchers interested in graph searching and pursuit-evasion games.
2022; Softcover
MSC: Primary 00;
Print ISBN: 978-1-4704-7107-1
Keep your mind sharp all year long with Mathematics 2023: Your Daily Epsilon of Math, a 12" x 12" wall calendar featuring a new math problem every day and 12 beautiful math images!
Let mathematicians Rebecca Rapoport and Dean Chung tickle the left side of your brain by providing you with a math challenge for every day of the year. The solution is always the date, but the fun lies in figuring out how to arrive at the answer, and possibly discovering more than one method of arriving there.
Problems run the gamut from arithmetic through graduate level math. Some of the most tricky problems require only middle school math applied cleverly. With word problems, math puns, and interesting math definitions added into the mix, this calendar will intrigue you for the whole year.
End the year with more brains than you had when it began with Mathematics 2023: Your Daily Epsilon of Math.
AMS/MAA Textbooks Volume: 73;
2022; 169 pp; Softcover
MSC: Primary 00; 03;
Print ISBN: 978-1-4704-6333-5
An Introduction to Proof via Inquiry-Based Learning is a textbook for the transition to proof course for mathematics majors. Designed to promote active learning through inquiry, the book features a highly structured set of leading questions and explorations. The reader is expected to construct their own understanding by engaging with the material. The content ranges over topics traditionally included in transitions courses: logic, set theory including cardinality, the topology of the real line, a bit of number theory, and more. The exposition guides and mentors the reader through an adventure in mathematical discovery, requiring them to solve problems, conjecture, experiment, explore, create, and communicate. Ultimately, this is really a book about productive struggle and learning how to learn.
Undergraduate students.
Mathematical Surveys and Monographs, Volume: 266
2022; 165 pp; Softcover
MSC: Primary 20; 22;
Print ISBN: 978-1-4704-7032-6
Product Code: SURV/266
The main topic of the book is amenable groups, i.e., groups on which there exist invariant finitely additive measures. It was discovered that the existence or non-existence of amenability is responsible for many interesting phenomena such as, e.g., the Banach-Tarski Paradox about breaking a sphere into two spheres of the same radius. Since then, amenability has been actively studied and a number of different approaches resulted in many examples of amenable and non-amenable groups.
In the book, the author puts together main approaches to study amenability. A novel feature of the book is that the exposition of the material starts with examples which introduce a method rather than illustrating it. This allows the reader to quickly move on to meaningful material without learning and remembering a lot of additional definitions and preparatory results; those are presented after analyzing the main examples. The techniques that are used for proving amenability in this book are mainly a combination of analytic and probabilistic tools with geometric group theory.
Graduate students and researchers interested in geometric group theory.