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This well-written and engaging volume, intended for undergraduates, introduces knot theory, an area of growing interest in contemporary mathematics. The hands-on approach features many exercises to be completed by readers. Prerequisites are only a basic familiarity with linear algebra and a willingness to explore the subject in a hands-on manner. The opening chapter offers activities that explore the world of knots and links — including games with knots — and invites the reader to generate their own questions in knot theory. Subsequent chapters guide the reader to discover the formal definition of a knot, families of knots and links, and various knot notations. Additional topics include combinatorial knot invariants, knot polynomials, unknotting operations, and virtual knots.
Childbirth defines families, communities, and nations. In Birthing the West, Jennifer J. Hill fills the silences around historical reproduction with copious new evidence and an enticing narrative, describing a process of settlement in the American West that depended on the nurturing connections of reproductive caregivers and the authority of mothers over birth. Economic and cultural development depended on childbirth. Hill’s expanded vision suggests that the mantra of cattle drives and military campaigns leaves out essential events and falls far short of an accurate representation of American expansion. The picture that emerges in Birthing the West presents a more complete understanding of...
The year's finest mathematics writing from around the world This annual anthology brings together the year’s finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2017 makes available to a wide audience many articles not easily found anywhere else—and you don’t need to be a mathematician to enjoy them. These writings offer surprising insights into the nature, meaning, and practice of mathematics today. They delve into the history, philosophy, teaching, and everyday occurrences of math, and take readers behind the scenes of today’s hottest mathematical debates. Here Evelyn Lam...
This stunning new book delves into the world of modern science to reveal a darker side. It begins in the year 2014 and predicts the future of the Large Hadron Collider, a story of dark research, bloodshed, and criminal intrigue. A mysterious coincidence is the fact the LHC was only running on half power up to 2012, a year destined to be eventful, history making, or possibly a huge disappointment in terms of our knowledge of black holes. When the Maya discovered the black hole resting at the centre of our galaxy, they bestowed the name "HUNAB KU," which was the Mayan central sun and creator of all. Black holes were once the stuff of science fantasy but not any longer. In recent years, modern ...
Aspiring and Inspiring is a collection of essays from successful women and gender minority mathematicians on what it takes to build a career in mathematics. The individual essays are intended to advise, encourage, and inspire mathematicians throughout different stages of their careers. Themes emerge as these prominent individuals describe how they managed to persist and rise to positions of leadership in a field which can still be forbidding to many. We read, repeatedly, that individual mentorship matters, that networks of support can be critical, and that finding fulfillment can mean formulating one's own definition of success. Those who aspire to leadership in the field will find much usef...
This book tackles the question of border control in and around imperial Japan in the first half of the twentieth century, with a specific focus on its documentation regime. It explores the institutional development, media and literary discourses, and on[1]the-ground practices of documentary identification in the Japanese empire and the places visited by its subjects. The contributing authors, covering such regions as Korea, Manchuria, Taiwan, Siberia, Australia, and the United States, place the question of individual identity in the eyes of the respective governments in dialogue with the global developments of the identification and mobility control practices. The chapters suggest the import...
The ancestry and autobiography of the author Daniel J. Garber titled Garber's Bench takes you back to the 1600s where his eighthaEUR"generation grandfather, Christian Gerber, "the Immigrant," arrived from Bernsoberland, Switzerland, to Philadelphia, Pennsylvania. In 1735 he bought 236 acres of land in Lancaster, Pennsylvania from, the William Penn family. In the book are facts about the author's greataEUR"greataEUR"grandfather who fought in the Civil War and about his grandfather who shot and killed his own father. This autobiography takes you through a very interesting life, loaded with unusual characters and funny stories. From a pauper to a millionaire, a man who once could not afford to get out of town to the same man who traveled the world. From a con man, to a salesman, to a cattleman, to a plastics entrepreneur. Read this fascinating book and enjoy the ride!
Mathematics research opportunities for undergraduate students have grown significantly in recent years, but accessible research topics for first- and second-year students with minimal experience beyond high school mathematics are still hard to find. To address this need, this volume provides beginning students with specific research projects and the tools required to tackle them. Most of these projects are accessible to students who have not yet taken Calculus, but students who know some Calculus will find plenty to do here as well. Chapters are self-contained, presenting projects students can pursue, along with essential background material and suggestions for further reading. Suggested pre...
Every mathematician and student of mathematics needs a familiarity with mathematical induction. This volume provides advanced undergraduates and graduate students with an introduction and a thorough exposure to these proof techniques. 2017 edition.