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"Advanced Calculus is intended as a text for courses that furnish the backbone of the student's undergraduate education in mathematical analysis. The goal is to rigorously present the fundamental concepts within the context of illuminating examples and stimulating exercises. This book is self-contained and starts with the creation of basic tools using the completeness axiom. The continuity, differentiability, integrability, and power series representation properties of functions of a single variable are established. The next few chapters describe the topological and metric properties of Euclidean space. These are the basis of a rigorous treatment of differential calculus (including the Implicit Function Theorem and Lagrange Multipliers) for mappings between Euclidean spaces and integration for functions of several real variables."--pub. desc.
"The first volume of a trilogy of works, which tell the story of the ancient and magical race: the Tuatha Dé Danann ... The Book of Conguests tells the story of Nuada, king of the Tuatha Dé Danann, and the First Battle of Moy Tura, one of the most important sagas in Early Irish Literature"--Http://www.jimfitzpatrick.ie/gallery/conquests.html.
Join Vetman, Imogen, Findlay and a whole cast of incredible bionic animals as they save animal companions everywhere from the evil plans of The Man With No Name - just in time for Christmas! An amazing animal adventure for readers aged 7-11 from Noel Fitzpatrick, Channel 4's SUPERVET. Vetman lives in a cottage outside a sleepy English village, where nobody realises that he's saving animals in incredible, bionic ways - except the animals themselves, of course! But trouble is brewing... because Vetman's old foe, The Man With No Name, has set up camp nearby and plans to poison dogs and cats across the land, ruining Christmas for everyone. Imogen and Findlay stumble across an injured hedgehog an...
This text is designed for graduate-level courses in real analysis. Real Analysis, 4th Edition, covers the basic material that every graduate student should know in the classical theory of functions of a real variable, measure and integration theory, and some of the more important and elementary topics in general topology and normed linear space theory. This text assumes a general background in undergraduate mathematics and familiarity with the material covered in an undergraduate course on the fundamental concepts of analysis.
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