Subject Resources: Math and Geometry: Print Books

Traditional methods for handling spatial data are encumbered by the assumption of separate origins for horizontal and vertical measurements, but modern measurement systems operate in a 3-D spatial environment. The 3-D Global Spatial Data Model: Principles and Applications, Second Edition maintains a new model for handling digital spatial data, the global spatial data model or GSDM. The GSDM preserves the integrity of three-dimensional spatial data while also providing additional benefits such as simpler equations, worldwide standardization, and the ability to track spatial data accuracy with greater specificity and convenience. This second edition expands to new topics that satisfy a growing need in the GIS, professional surveyor, machine control, and Big Data communities while continuing to embrace the earth center fixed coordinate system as the fundamental point of origin of one, two, and three-dimensional data sets. Ideal for both beginner and advanced levels, this book also provides guidance and insight on how to link to the data collected and stored in legacy systems.

A mathematician and scientist in residence at the School of the Art Institute of Chicago helps readers explore the concept of infinity through unique concepts including chessboards, a chicken-sandwich sandwich and the creation of infinite cookies from an infinite dough ball.

If you were accused of a crime, who would you rather decide your sentence--a mathematically consistent algorithm incapable of empathy or a compassionate human judge prone to bias and error? What if you want to buy a driverless car and must choose between one programmed to save as many lives as possible and another that prioritizes the lives of its own passengers? And would you agree to share your family's full medical history if you were told that it would help researchers find a cure for cancer? These are just some of the dilemmas that we are beginning to face as we approach the age of the algorithm, when it feels as if the machines reign supreme. Already, these lines of code are telling us what to watch, where to go, whom to date, and even whom to send to jail. But as we rely on algorithms to automate big, important decision--in crime, justice, healthcare, transportation, and money--they raise questions about what we want our world to look like. What matters most: Helping doctors with diagnosis or preserving privacy? Protecting victims of crime or preventing innocent people being falsely accused? Hello World takes us on a tour through the good, the bad, and the downright ugly of the algorithms that surround us on a daily basis. Mathematician Hannah Fry reveals their inner workings, showing us how algorithms are written and implemented, and demonstrates the ways in which human bias can literally be written into the code. By weaving in relatable, real-world stories with accessible explanations of the underlying mathematics that power algorithms, Hello World helps us to determine their power, expose their limitations, and examine whether they really are an improvement on the human systems they replace.

A captivating journey to the outer frontiers of human knowledge by the popular presenter of Netflix's The Story of Math Ever since the dawn of civilization we have been driven by a desire to know--to understand the physical world and the laws of nature. But are there limits to human knowledge? This tantalizing question has inspired scientists and functioned as a spur to innovation. Now, Marcus du Sautoy invites us to join him on a journey to the outer reaches of human understanding as there are still lots of deep mysteries waiting to be solved. Are some things beyond the predictive powers of science? Or are those challenges simply the next big discovery waiting to happen? Du Sautoy takes us into the minds of science's greatest innovators and reveals the fraught circumstances of their discoveries. He reminds us that major breakthroughs were often ridiculed at the time of their discovery. And he carries us on a whirlwind tour of seven "Edges" of knowledge - chaos theory, matter, quantum physics, the universe, time, consciousness and infinity --grounding a deeply personal exploration in simple concepts like the roll of dice, the notes of a cello, or how a clock measures time.

During World War II, when the newly minted Jet Propulsion Laboratory needed quick-thinking mathematicians to calculate jet velocities and plot missile trajectories, they recruited an elite group of young women--known as human computers--who, with only pencil, paper, and mathematical prowess, transformed rocket design and helped bring about America's first ballistic missiles. But they were never interested in developing weapons--their hearts lay in the dream of space exploration. So when JPL became part of a new agency called NASA, the computers worked on the first probes to the moon, Venus, Mars, and beyond. Later, as digital computers largely replaced human ones, JPL was unique in training and retaining its brilliant pool of women. They became the first computer programmers and engineers, and through their efforts, we launched the ships that showed us the contours of our solar system. For the first time, Rise of the Rocket Girls tells the stories of these women who charted a course not only for the future of space exploration but also for the prospects of female scientists. Based on extensive research and interviews with the living members of the team, Rise of the Rocket Girls offers a unique perspective on the role of women in science, illuminating both where we've been and the far reaches of space to where we're heading.