The mathematical sciences are part of everyday life. Modern communication, transportation, science, engineering, technology, medicine, manufacturing, security, and finance all depend on the mathematical sciences. Fueling Innovation and Discovery describes recent advances in the mathematical sciences and advances enabled by mathematical sciences research. It is geared toward general readers who would like to know more about ongoing advances in the mathematical sciences and how these advances are changing our understanding of the world, creating new technologies, and transforming industries. Although the mathematical sciences are pervasive, they are often invoked without an explicit awareness of their presence. Prepared as part of the study on the Mathematical Sciences in 2025, a broad assessment of the current state of the mathematical sciences in the United States, Fueling Innovation and Discovery presents mathematical sciences advances in an engaging way. The report describes the contributions that mathematical sciences research has made to advance our understanding of the universe and the human genome. It also explores how the mathematical sciences are contributing to healthcare and national security, and the importance of mathematical knowledge and training to a range of industries, such as information technology and entertainment. Fueling Innovation and Discovery will be of use to policy makers, researchers, business leaders, students, and others interested in learning more about the deep connections between the mathematical sciences and every other aspect of the modern world. To function well in a technologically advanced society, every educated person should be familiar with multiple aspects of the mathematical sciences.

Between 1993 and 2001, Mayor Richard J. Richard, a maverick multi-millionaire who championed pragmatism over divisive politics, pulled Los Angeles from the brink of collapse and turned around one of the world’s most famous cities. Wildly popular today among Angelenos of all stripes, Riordan continues to be a major force in the political and civic worlds of L.A. Riordan, a non-ideological Republican who was pro-choice, pro-gay rights, and pro-immigration, was elected to office in the aftermath of the infamous Rodney King beating and subsequent 1992 L.A. Riots, which caused nearly $1 billion in property damage and took the lives of over 50 people. With ineffectual political leadership at City Hall, racial tensions were running high, the economy was in the tank, and the city’s crime and homicide rates grew out of control during the crack cocaine epidemic. And only a few months into Riordan’s young mayoralty, L.A. appeared to be most definitely doomed after the devastating 1994 Northridge earthquake rocked the city to its core. But unlike his combative counterpart in New York City, Mayor Rudy Guiliani, Riordan was a healing, compassionate figure that recreated L.A. into a thriving, world-class metropolis—and he’s still a key problem solver in the nation’s second largest city. As the result of Riordan’s efforts, Los Angeles is now a cultural and event destination. He oversaw and pushed through the construction of Frank Gehry’s masterpiece Walt Disney Concert Hall -- a venture the mayor helped personally fund when private financing stalled -- and the landmark Staples Center. He reformed the nation’s second largest public school system, modernized the Los Angeles Police Department, and reformed Los Angeles’ City Charter. After an unsuccessful run for California governor, Riordan worked for Governor Arnold Schwarzenegger as his secretary of education. Riordan’s perspective on effective leadership is like no other. Readers will also learn about the numerous tragedies Riordan faced and how each event shaped him as a person and as mayor. From the deaths of Riordan’s two, young children to the passing of his mother on the eve of his first mayoral election, Riordan’s courage and compassion in the face personal heartbreak illustrates why he is so beloved. Riordan is also a cutting-edge philanthropist who helped dramatically improve literacy rates in such places as Mississippi and has personally donated over $100 million to improve the education of poor children. For years, he has donated half his income to charities. This 330-paged memoir delves into his successes and difficulties during his time as mayor, the ideas and value system that drove his work—such as his deep spiritual beliefs that everyone is equal and deserves the opportunity to succeed—and the life events that shaped him. Award-winning journalist Patrick Range McDonald helped Riordan shape this must-read book.

Foundations of Analysis has two main goals. The first is to develop in students the mathematical maturity and sophistication they will need as they move through the upper division curriculum. The second is to present a rigorous development of both single and several variable calculus, beginning with a study of the properties of the real number system. The presentation is both thorough and concise, with simple, straightforward explanations. The exercises differ widely in level of abstraction and level of difficulty. They vary from the simple to the quite difficult and from the computational to the theoretical. Each section contains a number of examples designed to illustrate the material in the section and to teach students how to approach the exercises for that section. --Book cover.

In the wrong hands, math can be deadly. Even the simplest numbers can become powerful forces when manipulated by politicians or the media, but in the case of the law, your liberty -- and your life -- can depend on the right calculation. In Math on Trial, mathematicians Leila Schneps and Coralie Colmez describe ten trials spanning from the nineteenth century to today, in which mathematical arguments were used -- and disastrously misused -- as evidence. They tell the stories of Sally Clark, who was accused of murdering her children by a doctor with a faulty sense of calculation; of nineteenth-century tycoon Hetty Green, whose dispute over her aunt's will became a signal case in the forensic use of mathematics; and of the case of Amanda Knox, in which a judge's misunderstanding of probability led him to discount critical evidence -- which might have kept her in jail. Offering a fresh angle on cases from the nineteenth-century Dreyfus affair to the murder trial of Dutch nurse Lucia de Berk, Schneps and Colmez show how the improper application of mathematical concepts can mean the difference between walking free and life in prison. A colorful narrative of mathematical abuse, Math on Trial blends courtroom drama, history, and math to show that legal expertise isn't't always enough to prove a person innocent.

Cover -- Title -- Copyright -- Contents -- List of Illustrations -- Notes on Contributors -- Acknowledgements -- 1 The city and its regulations: Unexpected margins -- Part I Space and state regulation: The urban interstices -- 2 Markets and marginality in Beirut -- 3 The tremendous making and unmaking of the peripheries in current Istanbul -- 4 Resilient forms of urbanity on the margins? Al-Kherba: A vivid market in a damaged section of the medina of Tunis -- 5 Whose margins? Marginality, poverty and the moral geography of pre-Soviet Bukhara -- 6 On the margins of the city: Izmir Prison in the late Ottoman Empire -- Part II Diversity and moral policing: Making claims through marginalisation -- 7 'Texas': An off-centre district at the heart of nightlife in Odienné -- 8 The Manyema in colonial Dar es Salaam (Tanzania) between urban margins and regional connections -- 9 On the margins: Suburban space and religious deviancy in Jakarta and Kuala Lumpur -- 10 Ethnic differentiation and conflict dynamics: Uzbeks' marginalisation and non-marginalisation in southern Kyrgyzstan -- Index