Most introduction to proofs textbooks focus on the structure of rigorous mathematical language and only use mathematical topics incidentally as illustrations and exercises. In contrast, this book gives students practice in proof writing while simultaneously providing a rigorous introduction to number systems and their properties. Understanding the properties of these systems is necessary throughout higher mathematics. The book is an ideal introduction to mathematical reasoning and proof techniques, building on familiar content to ensure comprehension of more advanced topics in abstract algebra and real analysis with over 700 exercises as well as many examples throughout. Readers will learn and practice writing proofs related to new abstract concepts while learning new mathematical content. The first task is analogous to practicing soccer while the second is akin to playing soccer in a real match. The authors believe that all students should practice and play mathematics. The book is written for students who already have some familiarity with formal proof writing but would like to have some extra preparation before taking higher mathematics courses like abstract algebra and real analysis.

Lifeblood is a powerfully moving supernatural romance, filled with rich details and fast paced action. Lind has a brilliant way with words, creating a vivid atmosphere and filling it with characters that come to life with his words." --Diana Bennett, The Midwest Book Review All Ana Vasilifata ever wanted was a simple life, with a good husband, children, and a happy home. What she found was a vampire who made her his bride. And when she fled to England in the winter of 1665, she found a stake at the hands of a fearful and angry mob. Over three hundred years later, an accident reanimates Ana in the quiet town of Meriwether, Iowa. She flees to an abandoned house where she meets Joshua Davidson, a kind-hearted carpenter who helps Ana adjust to this strange place and time. As her friendship with Joshua deepens, Ana begins to hope she can finally find the peace she has always sought. But dangers still haunt her, for even now there are some who believe in the stories of vampires. This time she is not friendless -but, she wonders, would Joshua continue to help her if he knew what she was? And even if he would, could he protect her from all the monsters lurking in the shadows?