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The William Lowell Putnam Mathematical Competition 1985-2000
This third volume of problems from the William Lowell Putnam Competition is unlike the previous two in that it places the problems in the context of important mathematical themes. The authors highlight connections to other problems, to the curriculum and to more advanced topics. The best problems contain kernels of sophisticated ideas related to important current research, and yet the problems are accessible to undergraduates. The solutions have been compiled from the American Mathematical Monthly, Mathematics Magazine and past competitors. Multiple solutions enhance the understanding of the audience, explaining techniques that have relevance to more than the problem at hand. In addition, the book contains suggestions for further reading, a hint to each problem, separate from the full solution and background information about the competition. The book will appeal to students, teachers, professors and indeed anyone interested in problem solving as a gateway to a deep understanding of mathematics.
The William Lowell Putnam Mathematical Competition 2001-2016
The William Lowell Putnam Mathematics Competition is the most prestigious undergraduate mathematics problem-solving contest in North America, with thousands of students taking part every year. This volume presents the contest problems for the years 2001-2016. The heart of the book is the solutions; these include multiple approaches, drawn from many sources, plus insights into navigating from the problem statement to a solution. There is also a section of hints, to encourage readers to engage deeply with the problems before consulting the solutions.The authors have a distinguished history of en.
The William Lowell Putnam Mathematical Competition
Back by popular demand, we are pleased to reissue this outstanding collection of problems and solutions from the Putnam Competitions covering the years 1938-1964. Problemists the world over, including all past and future Putnam Competitors, will revel in mastering the difficulties posed by this collection of problems from the first 25 William Lowell Putnam Competitions. Solutions to all 347 problems are given. In some cases multiple solutions are included, some which contestants could reasonably be expected to find under examination conditions, and others which are more elegant or utilize more sophisticated techniques. Valuable references and historical comments on many of the problems are presented. The book concludes with four articles on the Putnam competition written by G. Birkhoff, L. E. Bush, L. J. Mordell, and L. M. Kelly which are reprinted from the American Mathematical Monthly. There is great appeal here for all; teachers, students, and all those who love good problems and see them as an entree to beautiful and powerful ideas.
Putnam and Beyond
This book takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real analysis, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability. Preliminary material provides an overview of common methods of proof: argument by contradiction, mathematical induction, pigeonhole principle, ordered sets, and invariants. Each chapter systematically presents a single subject within which problems are clustered in each section according to the specific topic. The exposition is driven by nearly 1300 problems and examples chos...
The Guiding Spirit
The first professional mountain guides to be employed in North America were all Italians: Guiseppe Petigax and Lorenzo Croux of Courmeyer, Antonio Maguinaz and Andrea Pellissier of Valtournanche and Erminio Botta of Beilla, all in the retinue of Luigi Amadeo of Savoia, Duke of the Abruzzi whose successful expedition to Mount Saint Elias in 1896 became an Alaskan and mountaineering legend. The next summer, Professor H.B. Dixon followed his example and engaged Peter Sarbach to accompany him on several weeks of climbing in the "Canadian Alps". It was the obvious success of this particular act which prompted the Vaux brothers, distinguished amateur scientists of Philadelphia, to suggest again in...
History of the Harvard Law School and of Early Legal Conditions in America
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How We Survived in UHF Television
This personal narrative is co-authored by two of the best-known names in American UHF television broadcast management: Kathryn "Kitty" Broman Putnam and William Lowell "Bill" Putnam. During the first two decades of Ultra-High Frequency (UHF) television, when the established VHF (Very-High Frequency) stations dominated the TV marketplace, the Putnams built and operated three successful UHF outlets: WWLP-TV in Springfield, Massachusetts; WKEF-TV in Dayton, Ohio; and KSTU-TV in Salt Lake City, Utah. Kitty and Bill recall how they labored for survival during the "dozen lean years" between 1952 and 1964, and the events along their way to leadership in the world of advertiser-supported analog television. Included are several original poems written by Bill, and tantalizing recipes created for Kitty's long-running local cooking show.
K2 and the 1939 Tragedy
The story of the 1939 American K2 expedition is well known among mountaineers: world-class German-born climber Fritz Wiessner and Pasang Dawa Lama came within 800 feet of attaining the world's second-highest unclimbed summit before turning back for more supplies. Rejoining them on the descent was Dudley Wolfe, who had stayed not far below. Upon reaching the lower camps, the party found them stripped of supplies and deserted. Wiessner decided to descend further to investigate, and left Wolfe behind -- alone. Later, unable to descend solo, Wolfe had to be rescued; but the attempt failed, and Wolfe and Sherpas Pasang Kikuli, Pasang Kitar, and Phinsoo died. Initially, Wiessner was held responsib...
Mathematical People
This unique collection contains extensive and in-depth interviews with mathematicians who have shaped the field of mathematics in the twentieth century. Collected by two mathematicians respected in the community for their skill in communicating mathematical topics to a broader audience, the book is also rich with photographs and includes an introdu
