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Excellent graduate-level monograph investigates relationship between various structural properties of real functions and the character of possible approximations to them by polynomials and other functions of simple construction. Based on classical approximation theorem of Weierstrass, P. L. Chebyshev’s concept of the best approximation, converse theorem of S. N. Bernstein on existence of a function with a given sequence of best approximations. Each chapter includes problems and theorems supplementing main text. 1963 edition. Bibliography.
I’m a witch in love with a frog. And you thought you had problems? Hi, my name is Sammara Eve Hain, and I don’t admit that to just anyone. Especially the witch part. If it were up to me, I would’ve been born into a nice, normal family. One that went camping on weekends and played board games and watched television. Not one that spent their Saturday nights cackling around a cauldron and turning people into frogs. Okay, that’s an exaggeration. They don’t cackle. But they’re definitely not normal. And the frog thing? May I introduce my fiancé, Mr. Short, Green, and Bewitched? Courtesy of my sister. Thanks, Violet. All I ever wanted when I left my small town of Bigfoot Bay thirteen years ago was to disappear into the big city and lead an ordinary life. I never expected to return. And when I stumbled upon my childhood nemesis frozen solid inside a wall of ice, I never expected I’d be forced to stay. With a betrothed frog at my side and no sister in sight. ** Witch on Ice is the first in a new humorous cozy mystery series. Suitable for all ages. ** The Bigfoot Bay Witches cozy mystery series: Witch on Ice - Book 1 Bewitched Brew - Book 2 Witch Bane and The Croaking Game - Book 3 Witch Haunt - Book 4 The Witch is Back - Book 5 The Big Day Brew-HaHa - Book 6 **FREE/FREEBIE**
You're a witch. It's the dead of night. You're scared. You might even be found out. Suddenly, a flash of light dazzles you. A glowing translucent book has appeared before your eyes. You read its ice-like pages. They foretell the end of your magic ...even your life. What on earth are you going to do? Cordelia and her sister Mer have no choice but to fight back. Shockingly, they and their friends lives are now in grave peril. No one has ever managed to live by opposing the heartless Witches of Ice.
The Tribe of the White Dragon has lived in the frozen wastes of the north for thousands of years, but they are slowly dying without their dragon to protect them from the inhospitable cold. In desperation, they kidnap Kam, hoping to use him to breed witch power back into the Tribe. But Kam is not a witch, and there is nothing he can do to save them—until he sees the white dragon encased in ice and all alone and a chain reaction is set off that may save them after all.
** Now featuring an EXCLUSIVE bonus story! ** Magic. Mayhem. Murder. Just your typical day in Bigfoot Bay. When Samm Hain left her small town 13 years ago to escape her witchy past, she never expected to return. And when mysterious circumstances bring her back, she never expects to stay, dealing with one mystical mishap after another. It's enough to drive a girl batty. As if that weren't enough? She's forced to tackle it all with her bewitched fiancé and no counterspell in sight. This box set contains the first 3 full-length novels and bonus prequel in the Bigfoot Bay Witches paranormal cozy mystery series: Witch on Ice Bewitched Brew Witch Bane and The Croaking Game Away with the Fairies Witch on Ice - Book 1: When Samm Hain (aka reluctant witch extraordinaire) returns to her hometown after a 13-year absence, she has the misfortune to stumble upon her childhood nemesis frozen solid in a wall of ice. So how did she end up the one taking all the heat? Bewitched Brew - Book 2: When the tavern fool is found floating in a vat of green beer at the local Irish pub, Samm can't help but get charmed into the case. She's stuck in a town named after a hairy beast with her fiancé-turned-frog - what else has she got to do? Besides, she might have been the last one to see Old Man Callahan alive... Witch Bane and The Croaking Game - Book 3: Someone is poisoning the townspeople of Bigfoot Bay and everyone's a suspect... including the frog. Away with the Fairies - Bonus Prequel: Plant-whispering Sage and tea leaf-reading Violet travel from mystical Bigfoot Bay to a rural Irish village high up in the Wicklow Mountains where the fairy-faith abounds. Hang on to your lucky shamrocks, girls. Because you've never seen magic like this before. Other books in the Bigfoot Bay Witches series: Witch Haunt – Book 4 The Witch is Back - Book 5 The Big Day Brew-HaHa - Book 6
TWO NATIONS AT WAR. ONE GIRL CAUGHT IN THE MIDDLE. Rain Aranoza is a teenage bomber-pilot from Rodina, a nation of science and fact ruled by the all knowing Aura, where the belief in witches or any type of superstition is outlawed. Rain's regiment is made up of only teenage girls and their role is vital to the war effort against the Crux, a nation of faith and belief, where nature and God are celebrated and worshipped. But Rain is struggling with another battle. She's always had a sense that her nature is different from everyone else's, and that a dormant power threatens to burst out of her. When she encounters a young Scrutiner she falls in love with him, but is torn between what she has been taught is right, and what feels right. As her understanding of her latent power grows, the enemy threatens both her friends and her love. She can no longer ignore the power but she must choose how she uses it ... But what will she lose in the process?