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This book expounds three special kinds of matrices that are of physical interest, centering on physical examples. Stochastic matrices describe dynamical systems of many different types, involving (or not) phenomena like transience, dissipation, ergodicity, nonequilibrium, and hypersensitivity to initial conditions. The main characteristic is growth by agglomeration, as in glass formation. Circulants are the building blocks of elementary Fourier analysis and provide a natural gateway to quantum mechanics and noncommutative geometry. Bell polynomials offer closed expressions for many formulas concerning Lie algebra invariants, differential geometry and real gases, and their matrices are instrumental in the study of chaotic mappings.
#1 New York Times Bestseller! Now an Apple+ Animated TV Series! Winner, John Newbery Medal What does it take for a student with hearing loss and a hearing aid to become a superhero!!?!? Starting at a new school is scary, especially with a giant hearing aid strapped to your chest! At her old school, everyone in Cece’s class was deaf. Here, she’s different. She’s sure the kids are staring at the Phonic Ear, the powerful aid that will help her hear her teacher. Too bad it also seems certain to repel potential friends. Then Cece makes a startling discovery. With the Phonic Ear she can hear her teacher not just in the classroom but anywhere her teacher is in the school—in the hallway . . ...
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John Lincoln Luskin has lived a full life. He has observed through a sensitive lens-like eye nine decades. He has marched, head held high, through war and peace, depression and good times, and five marriages. Now living comfortably with his wonderful wife, Sonny, and celebrating their 25th anniversary, John looks back at his struggles and accomplishments with an unsentimental sense of one human’s history. This book was written as a catharsis for the author and becomes one for the reader.