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An Invitation to Modern Number Theory
In a manner accessible to beginning undergraduates, An Invitation to Modern Number Theory introduces many of the central problems, conjectures, results, and techniques of the field, such as the Riemann Hypothesis, Roth's Theorem, the Circle Method, and Random Matrix Theory. Showing how experiments are used to test conjectures and prove theorems, the book allows students to do original work on such problems, often using little more than calculus (though there are numerous remarks for those with deeper backgrounds). It shows students what number theory theorems are used for and what led to them and suggests problems for further research. Steven Miller and Ramin Takloo-Bighash introduce the pro...
Metadata for Digital Collections
Since it was first published, LIS students and professionals everywhere have relied on Miller’s authoritative manual for clear instruction on the real-world practice of metadata design and creation. Now the author has given his text a top to bottom overhaul to bring it fully up to date, making it even easier for readers to acquire the knowledge and skills they need, whether they use the book on the job or in a classroom. By following this book’s guidance, with its inclusion of numerous practical examples that clarify common application issues and challenges, readers will learn about the concept of metadata and its functions for digital collections, why it’s essential to approach metada...
Mathematics of Optimization: How to do Things Faster
Optimization Theory is an active area of research with numerous applications; many of the books are designed for engineering classes, and thus have an emphasis on problems from such fields. Covering much of the same material, there is less emphasis on coding and detailed applications as the intended audience is more mathematical. There are still several important problems discussed (especially scheduling problems), but there is more emphasis on theory and less on the nuts and bolts of coding. A constant theme of the text is the “why” and the “how” in the subject. Why are we able to do a calculation efficiently? How should we look at a problem? Extensive effort is made to motivate the mathematics and isolate how one can apply ideas/perspectives to a variety of problems. As many of the key algorithms in the subject require too much time or detail to analyze in a first course (such as the run-time of the Simplex Algorithm), there are numerous comparisons to simpler algorithms which students have either seen or can quickly learn (such as the Euclidean algorithm) to motivate the type of results on run-time savings.
Benford's Law
Benford's law states that the leading digits of many data sets are not uniformly distributed from one through nine, but rather exhibit a profound bias. This bias is evident in everything from electricity bills and street addresses to stock prices, population numbers, mortality rates, and the lengths of rivers. Here, Steven Miller brings together many of the world’s leading experts on Benford’s law to demonstrate the many useful techniques that arise from the law, show how truly multidisciplinary it is, and encourage collaboration. Beginning with the general theory, the contributors explain the prevalence of the bias, highlighting explanations for when systems should and should not follow...
The Mathematics of Encryption
How quickly can you compute the remainder when dividing by 120143? Why would you even want to compute this? And what does this have to do with cryptography? Modern cryptography lies at the intersection of mathematics and computer sciences, involving number theory, algebra, computational complexity, fast algorithms, and even quantum mechanics. Many people think of codes in terms of spies, but in the information age, highly mathematical codes are used every day by almost everyone, whether at the bank ATM, at the grocery checkout, or at the keyboard when you access your email or purchase products online. This book provides a historical and mathematical tour of cryptography, from classical ciphe...
100 Years of Math Milestones: The Pi Mu Epsilon Centennial Collection
This book is an outgrowth of a collection of 100 problems chosen to celebrate the 100th anniversary of the undergraduate math honor society Pi Mu Epsilon. Each chapter describes a problem or event, the progress made, and connections to entries from other years or other parts of mathematics. In places, some knowledge of analysis or algebra, number theory or probability will be helpful. Put together, these problems will be appealing and accessible to energetic and enthusiastic math majors and aficionados of all stripes. Stephan Ramon Garcia is WM Keck Distinguished Service Professor and professor of mathematics at Pomona College. He is the author of four books and over eighty research articles...
The Next Great War?
Experts consider how the lessons of World War I can help prevent U.S.–China conflict. A century ago, Europe's diplomats mismanaged the crisis triggered by the murder of Archduke Franz Ferdinand of Austria and the continent plunged into World War I, which killed millions, toppled dynasties, and destroyed empires. Today, as the hundredth anniversary of the Great War prompts renewed debate about the war's causes, scholars and policy experts are also considering the parallels between the present international system and the world of 1914. Are China and the United States fated to follow in the footsteps of previous great power rivals? Will today's alliances drag countries into tomorrow's wars? ...
The Meritocracy Myth
The Meritocracy Myth challenges the widely held American belief in meritocracyOCothat people get out of the system what they put into it based on individual merit. Fully revised and updated throughout, the second edition includes compelling new case studies, such as the impact of social and cultural capital in the cases of George W. Bush and Barack Obama, and new material on current topics such as the impact of the financial and credit crisis, intergenerational mobility, and the impact of racism and sexism. The Meritocracy Myth examines talent, attitude, work ethic, and character as elements of merit and evaluates the effect of non-merit factors such as social status, race, heritage, and wealth on meritocracy. A compelling book on an often-overlooked topic, first edition was highly regarded and proved a useful examination of this classic American ideal.
Juggalo
Juggalo: Insane Clown Posse and the World They Made is a vivid journey into the heart of a misunderstood subculture. Through firsthand reporting, including interviews with Violent J and Shaggy 2 Dope of the Insane Clown Posse, their friends and family, and numerous devoted fans, Juggalo explores the lives of the proud outsiders who are frequently labeled as a threat or dismissed as a joke. Author and journalist Steve Miller follows ICP across America, hanging out with Juggalos before and after shows, at the legendary annual Gathering of the Juggalos, and at work and home to share their stories. In addition, Juggalo dives deep into the FBI's misguided assault on Juggalo culture and the miside...
The Keepers of Mana'an
The fate of the universe rests in the hands of two New Yorkers: a pretty grad student and an unsuccessful actor. They must traverse the island of Manhattan during the worst snowstorm in NY history to save a young kidnapped boy from torture and death. They have no idea of the great battle that rages on unseen by mankind. Journeying through unimaginable parallel worlds, they must try to save the boy and battle a great evil flowing forth from City Hall. An old-school fantasy novel set in modern-day Manhattan.
