Focused on groups, rings and fields, this text gives students a firm foundation for more specialized work by emphasizing an understanding of the nature of algebraic structures. KEY TOPICS: Sets and Relations; GROUPS AND SUBGROUPS; Introduction and Examples; Binary Operations; Isomorphic Binary Structures; Groups; Subgroups; Cyclic Groups; Generators and Cayley Digraphs; PERMUTATIONS, COSETS, AND DIRECT PRODUCTS; Groups of Permutations; Orbits, Cycles, and the Alternating Groups; Cosets and the Theorem of Lagrange; Direct Products and Finitely Generated Abelian Groups; Plane Isometries; HOMOMORPHISMS AND FACTOR GROUPS; Homomorphisms; Factor Groups; Factor-Group Computations and Simple Groups; Group Action on a Set; Applications of G-Sets to Counting; RINGS AND FIELDS; Rings and Fields; Integral Domains; Fermat's and Euler's Theorems; The Field of Quotients of an Integral Domain; Rings of Polynomials; Factorization of Polynomials over a Field; Noncommutative Examples; Ordered Rings and Fields; IDEALS AND FACTOR RINGS; Homomorphisms and Factor Rings; Prime and Maximal Ideas; Gr�bner Bases for Ideals; EXTENSION FIELDS; Introduction to Extension Fields; Vector Spaces; Algebraic Extensions; Geometric Constructions; Finite Fields; ADVANCED GROUP THEORY; Isomorphism Theorems; Series of Groups; Sylow Theorems; Applications of the Sylow Theory; Free Abelian Groups; Free Groups; Group Presentations; GROUPS IN TOPOLOGY; Simplicial Complexes and Homology Groups; Computations of Homology Groups; More Homology Computations and Applications; Homological Algebra; Factorization; Unique Factorization Domains; Euclidean Domains; Gaussian Integers and Multiplicative Norms; AUTOMORPHISMS AND GALOIS THEORY; Automorphisms of Fields; The Isomorphism Extension Theorem; Splitting Fields; Separable Extensions; Totally Inseparable Extensions; Galois Theory; Illustrations of Galois Theory; Cyclotomic Extensions; Insolvability of the Quintic; Matrix Algebra MARKET: For all readers interested in abstract algebra.

    How to Destroy the Universe embraces thirty-five key physics ideas in a way that anyone can understand. Read this book and you will discover how to reverse the effects of global warming and fend off killer asteroids. You'll learn essential survival skills such as how to live through a lightning strike and how to fall into a black hole without being turned into spaghetti. You'll discover how to turn lead into gold, how to travel to the centre of the Earth and how to use physics to predict the stock market. How to Destroy the Universe will make you see the world through fresh eyes.

    Part 1, on propositional logic, is the old Introduction, but contains much new material. Part 2 is entirely new, and covers quantification and identity for all the logics in Part 1. The material is unified by the underlying theme of world semantics. All of the topics are explained clearly using devices such as tableau proofs, and their relation to current philosophical issues and debates are discussed. Students with a basic understanding of classical logic will find this book an invaluable introduction to an area that has become of central importance in both logic and philosophy. It will also interest people working in mathematics and computer science who wish to know about the area.

    From cell ultrastructure and carbohydrates to amino acids, proteins, and supramolecular structure, you'll identify biochemical structures and reactions, and send your grades soaring.Newest biology, biochemistry, chemistry, and scientific discoveries;Updated examples and explanations;Incorporates the most current teaching techniques;From water biochemistry to protein synthesis, Biochemistry For Dummies gives you the vital information, clear explanations, and important insights you need to increase your understanding and improve your performance on any biochemistry test.

    He manned the barricades against superstition and pseudoscience, and pressed for a scientifically literate populace years before science had been deemed worthy of common study. A friend of Charles Dickens and an inspiration to Thomas Edison, the deeply religious Faraday sought no financial gain from his discoveries, content to reveal God's presence through the design of nature. Faraday speaks to us today through the prose of his letters and journals. In The Electric Life of Michael Faraday, Alan Hirshfeld presents an intimate and memorable portrait of an icon of science, making Faraday's most significant discoveries about electricity and magnetism readily understandable, and immortalizing his momentous contributions to the modern world.

    The trilobites, which dominated the ocean floors for 300 million years, are gone. The last of the dinosaurs was wiped out by a Mount Everest-sized meteorite that slammed into the earth 65 million years ago. The great flying reptiles are gone, and so are the marine reptiles, some of them larger than a humpback whale. Before humans crossed the Bering land bridge some 15,000 years ago, North America was populated by mastodons, mammoths, saber-toothed tigers, and cave bears. They too are MIA. Passenger pigeons once flew over North America in flocks that numbered in the billions; the last one died in 1914.In this book you will meet creatures that were driven to extinction even more recently, as well as some that were brought back from the brink. You will even encounter animals not known to exist until recently -- an antidote to extinction.

    After days of treatment for recurring infection, it becomes obvious that her arm must be amputated. Dr. Ajay Seth, the son of immigrant parents from India and a local orthopaedic surgeon in private practice, performs his first-ever amputation procedure. In the months that follow, divine intervention, combined with Melissa’s determination and Dr. Seth’s disciplined commitment and dedication to his patients, brings about the opportunity for a medical breakthrough that will potentially transform the lives of amputees around the world.Rewired is the inspirational, miraculous story of Dr. Seth’s revolutionary surgery that allows Melissa to not just move a prosthetic arm simply by thinking, but to actually feel with the prosthetic hand, just as she would with her natural arm. This resulted in what others have recognized as the world’s most advanced amputee, all done from Dr. Seth’s private practice in a community hospital, using a local staff, and with no special training or extensive research funding.

    It has an algebra and trigonometry prerequisite, but calculus is preferred.

    Medicine, anatomy, astronomy, mathematics and cosmology were all invented in their world. Plato, Aristotle, Pythagoras, Archimedes and Hippocrates were amongst its stars, master architects all of the modern as well as the ancient.

    It shouldn't be like that. Learning calculus without mechanics is incredibly boring. Learning mechanics without calculus is missing the point. This textbook integrates both subjects and highlights the profound connections between them.This is the deal. Give me 350 pages of your attention, and I'll teach you everything you need to know about functions, limits, derivatives, integrals, vectors, forces, and accelerations. This book is the only math book you'll need for the first semester of undergraduate studies in science.With concise, jargon-free lessons on topics in math and physics, each section covers one concept at the level required for a first-year university course. Anyone can pick up this book and become proficient in calculus and mechanics, regardless of their mathematical background.Visit http://minireference.com for more details.

    Lang, one of the worlds foremost origami artists and scientists, presents the never-before-described mathematical and geometric principles that allow anyone to design original origami, something once restricted to an elite few. From the theoretical underpinnings to detailed step-by-step folding sequences, this book takes a modern look at the centuries-old art of origami.

    A brilliantly clear and penetrating exposition of developments in physical science and mathematics brought about by the advent of non-Euclidean geometries, including in-depth coverage of the foundations of geometry, the theory of time, Einstein's theory of relativity and its consequences, other key topics.