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Discrete Mathematics
This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the "introduction to proof" course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this. Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs. The...
Exploring Combinatorial Mathematics
This mid-level combinatorics textbook was originally written to be used in a MA level course for current secondary math teachers. Topics have been selected to illustrate larger concepts of interest to secondary teachers, and would also be appropriate for an upper-level undergraduate course for future teachers. There is an emphasis on understanding simple concepts deeply and in more than one way. Although some topics intersect secondary curriculum, most of the questions here are at a higher level. Still, the problem solving strategies and big ideas illustrated by our questions have applications to secondary mathematics. This emphasis is quite different than other mid-level discrete and combin...
This Perfect Day
A modern dystopian classic that stands alongside 1984 and Brave New World, Ira Levin’s This Perfect Day is a stunningly prescient work of science fiction that asks what it means to remain human in a world increasingly governed by technology and AI. “Chip” (born Li RM35M4419) lives in a future controlled by an all-powerful global supercomputer, UniComp. In this seemingly utopian society, free from war and want, every aspect of human existence is meticulously planned and calibrated for efficiency by Uni, which guides the lives of each member of the Family—the eugenically-merged human race, who share a single language and religion, yet live under constant chemical conditioning and behav...
The Instructions
‘Adam Levin’s book is the real thing, I think. It appeals to the young readers who like formal invention and ambition... But there’s also real substance there.’ Dave Eggers This is the story of Gurion Maccabee, age ten: a lover, a fighter, a scholar, and a truly spectacular talker. Gurion has been expelled from three Jewish day-schools for acts of violence and messianic tendencies. He ends up in the Cage, a special lockdown program for the most hopeless cases at Aptakisic Junior High. But in just four days, from the moment he meets the beautiful Eliza June Watermark to the terrifying Events of November 17, Gurion’s search for righteousness sparks a violent, unstoppable rebellion. D...
Models and Computability
Second of two volumes providing a comprehensive guide to the current state of mathematical logic.
Son of Rosemary
Return to the dark and haunting world of Rosemary’s Baby in Ira Levin’s beguiling sequel, Son of Rosemary. Levin’s Rosemary’s Baby, one of the best-selling books of all time, is the iconic classic that ushered in the era of modern horror. This shocking and darkly comic sequel is set well after the harrowing events of the first book, and is just as compelling and suspenseful. It is now 1999, and Rosemary Woodhouse awakens from a decades-long coma to find herself in a drastically changed world. She soon discovers her son is already thirty-three years old, an a charismatic spiritual leader worshipped the world over, preaching a message of tolerance and peace. But is “Andy” the savior the troubled world so desperately needs, or is he his father’s son—the Antichrist? Master of suspense Ira Levin’s sardonic and thought-provoking exploration of good and evil, Son of Rosemary, finds Rosemary and her child reunited in a battle of wills that could determine not just the course of the new millennium—but the very fate of humankind.
The Lucky Ones
The Lucky Ones is a collection of stories gathered from the wartime experiences of a few US airmen who served in the 8th Air Force Bomb Groups in England during WWII. The stories in this collection, narrated by the airmen themselves, recount the harrowing adventures the airmen endured in their most trying missions over Europe. These are stories of encounters with enemy fighters, struggles to control flak-damaged planes, grueling crash landings, and desperate bail-outs from burning planes. Many airmen, fortunate enough to survive these experiences, were captured by the Germans once on the ground. Their treatment at the hands of their captors is painfully re-told here. Miraculously some airmen managed to evade captivity and escape the Germans, sometimes as an entire crew. In the course of the war, more than 30,000 young Americans lost their lives over Europe. As one airman said: “The real heroes...were the many...who died in combat.” These are the stories of other heroes who survived what seemed certain death. These are the stories of The Lucky Ones.
Discrete Structures, Logic, and Computability
Discrete Structure, Logic, and Computability introduces the beginning computer science student to some of the fundamental ideas and techniques used by computer scientists today, focusing on discrete structures, logic, and computability. The emphasis is on the computational aspects, so that the reader can see how the concepts are actually used. Because of logic's fundamental importance to computer science, the topic is examined extensively in three phases that cover informal logic, the technique of inductive proof; and formal logic and its applications to computer science.
Discrete Mathematics
Discrete mathematics is a compulsory subject for undergraduate computer scientists. This new edition includes new chapters on statements and proof, logical framework, natural numbers and the integers and updated exercises from the previous edition.
