This book contains 500 problems that range over a wide spectrum of areas of high school mathematics and levels of difficulty. Some are simple mathematical puzzlers while others are serious problems at the Olympiad level. Students of all levels of interest and ability will be entertained and taught by the book. For many problems, more than one solution is supplied so that students can see how different approaches can be taken to a problem and compare the elegance and efficiency of different tools that might be applied. Teachers at both the college and secondary levels will find the book useful, both for encouraging their students and for their own pleasure. Some of the problems can be used to provide a little spice in the regular curriculum by demonstrating the power of very basic techniques. This collection provides a solid base for students who wish to enter competitions at the Olympiad level. They can begin with easy problems and progress to more demanding ones. A special mathematical tool chest summarizes the results and techniques needed by competition-level students.

This book introduces prime numbers and explains the famous unsolved Riemann hypothesis.

Problems that beset Archimedes, Newton, Euler, Cauchy, Gauss, Monge, Steiner, and other great mathematical minds. Features squaring the circle, pi, and similar problems. No advanced math is required. Includes 100 problems with proofs.

Discover the essential thinking tools you’ve been missing with The Great Mental Models series by Shane Parrish, New York Times bestselling author and the mind behind the acclaimed Farnam Street blog and “The Knowledge Project” podcast. This first book in the series is your guide to learning the crucial thinking tools nobody ever taught you. Time and time again, great thinkers such as Charlie Munger and Warren Buffett have credited their success to mental models–representations of how something works that can scale onto other fields. Mastering a small number of mental models enables you to rapidly grasp new information, identify patterns others miss, and avoid the common mistakes that hold people back. The Great Mental Models: Volume 1, General Thinking Concepts shows you how making a few tiny changes in the way you think can deliver big results. Drawing on examples from history, business, art, and science, this book details nine of the most versatile, all-purpose mental models you can use right away to improve your decision making and productivity. This book will teach you how to: Avoid blind spots when looking at problems. Find non-obvious solutions. Anticipate and achieve desired outcomes. Play to your strengths, avoid your weaknesses, … and more. The Great Mental Models series demystifies once elusive concepts and illuminates rich knowledge that traditional education overlooks. This series is the most comprehensive and accessible guide on using mental models to better understand our world, solve problems, and gain an advantage.

The cult classic essay collection from “one of the most emotionally exacting, mercilessly candid, deeply funny . . . writers of our time” (Cheryl Strayed, The New York Times Book Review). First published in 2001, My Misspent Youthcaptured a generation’s uneasy coming of age as the world made its chaotic way into a new millennium. It also established Meghan Daum as a leading literary voice, widely celebrated for her fresh, provocative approach to the hidden fault lines of America’s cultural landscape. From her New Yorker essays about the financial demands of big-city ambition and the ethereal, strangely old-fashioned allure of cyber-relationships to her dazzlingly hilarious riff about musical passions that give way to middle-brow paraphernalia, Daum delves into the center of things while closely examining the detritus that spills out along the way. With precision and well-balanced irony, Daum implicates herself as readily as she does the targets that fascinate and horrify her.

American Theological Inquiry (ATI) reaches thousands of Christian scholars, clergy, and other interested parties, primarily in the U.S. and U.K. The journal was formed in 2007 by Gannon Murphy (PhD Theology, Univ. Wales, Lampeter; Presbyterian/Reformed) and Stephen Patrick (PhD Philosophy, Univ. Illinois; Eastern Orthodox) to open up space for Christian scholars who affirm the Ecumenical Creeds to contribute research throughout the broader Christian scholarly community in America and the West. The purpose of ATI is to provide an inter-tradition forum for scholars who affirm the historic Ecumenical Creeds of Christendom to constructively communicate contemporary theologies, developments, ideas, commentaries, and insights pertaining to theology, culture, and history toward reforming and elevating Western Christianity. ATI seeks a critical function as much or more so as a quasi-ecumenical one. The purpose is not to erase or weaken the distinctives of the various ecclesial traditions, but to widen the dialogue and increase inter-tradition understanding while mutually affirming Christ's power to transform culture and the importance of strengthening Western Christianity with special reference to Her historic, creedal roots. "Theologians, would-be theologians, and the theologically attentive will want to check out American Theological Inquiry." ~ Richard John Neuhaus (1936-2009), First Things