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This textbook acts as a pathway to higher mathematics by seeking and illuminating the connections between graph theory and diverse fields of mathematics, such as calculus on manifolds, group theory, algebraic curves, Fourier analysis, cryptography and other areas of combinatorics. An overview of graph theory definitions and polynomial invariants for graphs prepares the reader for the subsequent dive into the applications of graph theory. To pique the reader's interest in areas of possible exploration, recent results in mathematics appear throughout the book, accompanied with examples of related graphs, how they arise, and what their valuable uses are. The consequences of graph theory covered by the authors are complicated and far-reaching, so topics are always exhibited in a user-friendly manner with copious graphs, exercises, and Sage code for the computation of equations. Samples of the book's source code can be found at github.com/springer-math/adventures-in-graph-theory. The text is geared towards advanced undergraduate and graduate students and is particularly useful for those trying to decide what type of problem to tackle for their dissertation. This book can also serve as a reference for anyone interested in exploring how they can apply graph theory to other parts of mathematics.
Fracture to the neck of femur is frequently stabilised with a hip screw system, however the host bone is often weak or osteoporotic. This causes premature failure of the system, commonly by cut-out of the lag screw through the head of the femur. While augmentation of the fixation with bone cement improves the holding power and decreases failure rate, current methods of administering the cement are messy and inaccurate. This project proposes a lag screw design which allows for direct injection of the cement, via the lag screw itself, after the screw has been inserted and correctly positioned in the femur. A method is also suggested to reduce the risk of cement leakage into the joint space when the guide wire has punctured the head of the femur. The design uses a system of holes in the threaded section of a cannulated screw to allow delivery of cement to the desired area. Testing was conducted in a synthetic bone analogue as well as in cadaveric porcine femurs.
"Through the voices of those who have weathered the storm, Mama, PhD provides invaluable lessons for young scholars-both men and women-striving to navigate family and academic careers."-Robert Drago, author of Striking a Balance: Work, Family, Life "All those sleepless nights and dirty diapers and baby food in your hair-where's the discursive construction of motherhood when you need it? It's here, in these smart, funny, poignant essays that struggle to balance mind and body, to balance body and soul."-Catherine Newman, PhD, author of Waiting for Birdy: A Year of Frantic Tedium, Neurotic Angst, and the Wild Magic of Growing a Family "I wish I had this book in the late 1970s when I was a young untenured professor trying to teach five sections of composition and raise a new (adopted) baby. The tales in Mama, PhD could have served as a virtual consciousness raising group for me as I toiled away in academia. Happily the book is available today for women trying to balance the pulls of motherhood and career."-Nan Bauer-Maglin, author of Cut Loose: (Mostly) Older Women Talk about the End of (Mostly) Long-Term Relationships Every year, American universities publish glowing reports stating their commitment to diversity, often showing statistics of female hires as proof of success. Yet, academic life remains overwhelmingly a man's world and the presence of women, specifically those with children, in the ranks of tenured faculty has not increased in a generation. This anthology explores the continued inequality of the sexes in higher education and suggests changes that could make universities more family-friendly workplaces. Candid, provocative, and sometimes with a wry sense of humor, the essays speak to and offer support for any woman attempting to combine work and family. Elrena Evans received her MFA in creative writing from The Pennsylvania State University. Her work appears in such journals as Literary Mama, Brain, Child, Hip Mama, and the anthology Twentysomething Essays by Twentysomething Writers. Caroline Grant is an editor and columnist for Literary Mama. She holds a PhD in comparative literature from the University of California at Berkeley.
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