Kaitlyn entered our world on May 22, 2012. I watched her lock eyes with her mother, and the two souls bonded in a familiar and forever love. Her eyes were wide open, proving her to be an alert child, ready to take on the challenges of life. As her grandmother, I watched Kaitlyn excel in all her childhood developmental milestones. When Kaitlyn approached five years old, she was diagnosed with a rare cancerous tumor in her brain stem referred to as DIPG. This book is a tribute to her short and meaningful life. It highlights the final seven months of her physical existence as we celebrated every day with her and prepared for her death. It includes “Kaitlyn Gems,” the words I recall her saying, which proved she was a wise soul. The book validates that a short life, when filled with love, is meaningful.

'An incredible tour of our universe's greatest mysteries' Professor Dan Hooper This cutting-edge book investigates the extraordinary potential of multimessenger astronomy to revolutionise our understanding of the universe The spectacular advances of modern astronomy have opened our horizon on an unexpected cosmos: a dark, mysterious universe, populated by enigmatic entities we know very little about, like black holes, or nothing at all, like dark matter and dark energy. This book discusses the extraordinary potential of a new discipline dubbed 'multimessenger astronomy', combining the traditional approach based on the observation of light from celestial objects, with a new method based on other 'messengers' - such as gravitational waves, neutrinos, and cosmic rays - that carry information from otherwise inaccessible corners of the universe. Interweaving the discussion of multimessenger astronomy with an exploration of the surprising connections between the study of the universe on the largest scales, and the physics of the infinitely small, this text provides an accessible and fascinating introduction to cutting-edge findings in recent cosmology which could soon revolutionize our understanding of the universe.

Over 120 delightful pen-and-ink illustrations by the author add another dimension of good-natured charm to these wide-ranging explorations. A mind-expanding volume for the layman and the science-minded.

Praise for the First Edition ". . . an enchanting book for those people in computer science or mathematics who are fascinated by the concept of infinity."—Computing Reviews ". . . a very well written introduction to set theory . . . easy to read and well suited for self-study . . . highly recommended."—Choice The concept of infinity has fascinated and confused mankind for centuries with theories and ideas that cause even seasoned mathematicians to wonder. The Mathematics of Infinity: A Guide to Great Ideas, Second Edition uniquely explores how we can manipulate these ideas when our common sense rebels at the conclusions we are drawing. Continuing to draw from his extensive work on the subject, the author provides a user-friendly presentation that avoids unnecessary, in-depth mathematical rigor. This Second Edition provides important coverage of logic and sets, elements and predicates, cardinals as ordinals, and mathematical physics. Classic arguments and illustrative examples are provided throughout the book and are accompanied by a gradual progression of sophisticated notions designed to stun readers' intuitive view of the world. With an accessible and balanced treatment of both concepts and theory, the book focuses on the following topics: Logic, sets, and functions Prime numbers Counting infinite sets Well ordered sets Infinite cardinals Logic and meta-mathematics Inductions and numbers Presenting an intriguing account of the notions of infinity, The Mathematics of Infinity: A Guide to Great Ideas, Second Edition is an insightful supplement for mathematics courses on set theory at the undergraduate level. The book also serves as a fascinating reference for mathematically inclined individuals who are interested in learning about the world of counterintuitive mathematics.

From the Booker Prize-winning author of The Sea comes a novel that is at once a gloriously earthy romp and a wise look at the terrible, wonderful plight of being human. “One of the great living masters of English-language prose. The Infinities is a dazzling example of that mastery.” —Los Angeles Times On a languid midsummer’s day in the countryside, the Godley family gathers at the bedside of Adam, a renowned mathematician and their patriarch. But they are not alone in their vigil. Around them hovers a clan of mischievous immortals—Zeus, Pan, and Hermes among them—who begin to stir up trouble for the Godleys, to sometimes wildly unintended effect.

When Alice's dad moves out, leaving her with her troubled mother, she does the only thing that feels right: she retreats to her family's old Renaissance tent in the backyard, determined to live there until her dad comes home. In an attempt to keep at least one part of her summer from changing, Alice focuses on her quest to swim freestyle fast enough to get on her swim team's record board. But summers contain multitudes, and soon Alice meets an odd new friend, Harriet, whose obsession with the school's science fair is equal only to her conviction that Alice's best stroke is backstroke, not freestyle. Most unexpected of all is an unusual babysitting charge, Piper, who is mute—until Alice hears her speak. A funny and honest middle-grade novel, this sharply observed depiction of family, friendship, and Alice's determination to prove herself—as a babysitter, as a friend, as a daughter, as a person—rings loud and true.