This textbook provides an introduction to Euclidean geometry. While developing geometry for its own sake, the book also emphasizes the links between geometry and other branches of pure and applied mathematics.
The study concludes with two chapters on the Roman plays and assesses Shakespeare's representation of the problem of conscience (Julius Caesar) and magnanimity (Antony and Cleopatra) in the light of Machiavelli's republicanism."--BOOK JACKET.
This passionate, immersive memoir takes the reader inside the emotional rollercoaster of losing a loved one to an outside force you can neither halt nor control.
The NYPD has a secret they'd like to keep in the past. Detective Jack Kenny doesn't like keeping secrets. Conservative, stubborn, and frustrated by institutional red tape, Detective Jack Kenny solves crimes the old-fashioned way. If there's anything that thirty-plus years in the NYPD--or being born into a family of Irish Catholic cops--teaches you, it's that good police officers need little more than a badge, a six-shot revolver, and some seasoned street smarts to get the answers they need. Kenny's partner, the young, beautiful, and technologically savvy Carmen Romero, believes that computers--not hunches--are the key to identifying and catching today's toughest criminals. Together, Kenny and Romero make a pairing as fiery as it is effective. But when a new witness to the grisly, thirty-year-old "Bronx Barber" murder comes forward, linking the brutal slashing of a prostitute with an NYPD stag party gone wild, the duo's skills and loyalties are put to the test like never before. Suddenly, Jack's long-deceased first partner is implicated in the crime, and an unpaid debt drives the veteran detective to get to the heart of a secret that the NYPD would prefer to leave in its past. With pressure escalating and time running out, Kenny and Romero's frantic search for truth will put their careers, reputations, and lives at stake. Along the way, they'll learn just how strong the ties that bind New York's Finest really are.
Ten years after publication of the popular first edition of this volume, the index theorem continues to stand as a central result of modern mathematics-one of the most important foci for the interaction of topology, geometry, and analysis. Retaining its concise presentation but offering streamlined analyses and expanded coverage of important exampl
The winding number is one of the most basic invariants in topology. It measures the number of times a moving point P goes around a fixed point Q, provided that P travels on a path that never goes through Q and that the final position of P is the same as its starting position. This simple idea has far-reaching applications. The reader of this book will learn how the winding number can help us show that every polynomial equation has a root (the fundamental theorem of algebra),guarantee a fair division of three objects in space by a single planar cut (the ham sandwich theorem),explain why every simple closed curve has an inside and an outside (the Jordan curve theorem),relate calculus to curvature and the singularities of vector fields (the Hopf index theorem),allow one to subtract infinity from infinity and get a finite answer (Toeplitz operators),generalize to give a fundamental and beautiful insight into the topology of matrix groups (the Bott periodicity theorem). All these subjects and more are developed starting only from mathematics that is common in final-year undergraduate courses.
Designed for the 21st century classroom, this textbook poses, refines, and analyzes questions of sustainability in a quantitative environment. Building mathematical knowledge in the context of issues relevant to every global citizen today, this text takes an approach that empowers students of all disciplines to understand and reason with quantitative information. Whatever conclusions may be reached on a given topic, this book will prepare the reader to think critically about their own and other people’s arguments and to support them with careful, mathematical reasoning. Topics are grouped in themes of measurement, flow, connectivity, change, risk, and decision-making. Mathematical thinking is at the fore throughout, as students learn to model sustainability on local, regional, and global scales. Exercises emphasize concepts, while projects build and challenge communication skills. With no prerequisites beyond high school algebra, instructors will find this book a rich resource for engaging all majors in the mathematics classroom. From the Foreword No longer will you be just a spectator when people give you quantitative information—you will become an active participant who can engage and contribute new insights to any discussion.[...] There are many math books that will feed you knowledge, but it is rare to see a book like this one that will help you cultivate wisdom.[...] As the authors illustrate, mathematics that pays attention to human considerations can help you look at the world with a new lens, help you frame important questions, and help you make wise decisions. Francis Edward Su, Harvey Mudd College
Coarse geometry is the study of spaces (particularly metric spaces) from a 'large scale' point of view, so that two spaces that look the same from a great distance are actually equivalent. This book provides a general perspective on coarse structures. It discusses results on asymptotic dimension and uniform embeddings into Hilbert space.
American politics changed forever in January 1973. In the span of 31 days, the Watergate burglars went on trial, the Nixon administration negotiated an end to the Vietnam War, the Supreme Court issued its Roe v. Wade decision, Lyndon Johnson died in Texas (and Harry Truman had just died), and Richard Nixon began his second term. The events had unlikely links and each worked along with the others to create a time of immense transformation. Roe in particular pushed political opponents to the outer reaches of each party, making compromise something that has become more and more difficult. Using newly released Nixon tapes, author and historian James Robenalt provides readers a fly-on-the-Oval-Office-wall look at what happened in the White House, events both fascinating and terrifying, during this monumental month. He also delves into the judge's chambers and courtroom drama during the Watergate break-in trial, and the inner sanctum of the US Supreme Court as it hashed out its decision in Roe v. Wade. A foreword by John W. Dean sets the stage for this unique, insider history. Though the events took place more than forty years ago, they're key to understanding today's political paralysis. James Robenalt is a trial lawyer and the author of The Harding Affair and Linking Rings. He, along with lecture partner John W. Dean, are sought-after speakers on the Watergate scandal. John W. Dean was White House Counsel under Richard Nixon, and is a bestselling author, most recently of The Nixon Defense.
The NYPD has a secret they'd like to keep in the past. Detective Jack Kenny doesn't like keeping secrets." Conservative, stubborn, and frustrated by institutional red tape, Detective Jack Kenny solves crimes the old-fashioned way. If there's anything that thirty-plus years in the NYPD--or being born into a family of Irish Catholic cops--teaches you, it's that good police officers need little more than a badge, a six-shot revolver, and some seasoned street smarts to get the answers they need. Kenny's partner, the young, beautiful, and technologically savvy Carmen Romero, believes that computers--not hunches--are the key to identifying and catching today's toughest criminals. Together, Kenny and Romero make a pairing as fiery as it is effective. But when a new witness to the grisly, thirty-year-old "Bronx Barber" murder comes forward, linking the brutal slashing of a prostitute with an NYPD stag party gone wild, the duo's skills and loyalties are put to the test like never before. Suddenly, Jack's long-deceased first partner is implicated in the crime, and an unpaid debt drives the veteran detective to get to the heart of a secret that the NYPD would prefer to leave in its past. With pressure escalating and time running out, Kenny and Romero's frantic search for truth will put their careers, reputations, and lives at stake. Along the way, they'll learn just how strong the ties that bind New York's Finest really are.
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