Includes many examples and figures. GENERAL TOPOLOGY. Set Theory and Logic. Topological Spaces and Continuous Functions. Connectedness and Compactness. Countability and Separation Axioms. The Tychonoff Theorem. Metrization Theorems and paracompactness. Complete Metric Spaces and Function Spaces. Baire Spaces and Dimension Theory. ALGEBRAIC TOPOLOGY. The Fundamental Group. Separation Theorems. The Seifert-van Kampen Theorem. Classification of Surfaces. Classification of Covering Spaces. Applications to Group Theory. For anyone needing a basic, thorough, introduction to general and algebraic topology and its applications.

    Say you?re already an experienced photographer? The helpful tips and tricks in this friendly book will get you quickly up to speed on the D3100's new 14-megapixel sensor, continous video/live focus, full HD video, expanded autofocus, and more. As a seasoned instructor at the Palm Beach Photographic Center, Julie anticipates all questions, whether you?re a beginner or digital camera pro, and offers pages of easy-to-follow advice.Helps you get every bit of functionality out of the new Nikon D3100 camera Walks you through its exciting new features, including the 14-megapixel sensor, continous video/live focus, full HD video, expanded autofocus, and the updated in-camera menu Explores shooting in Auto mode, managing playback options, and basic troubleshooting Explains how to adjust the camera's manual settings for your own preferred exposure, lighting, focus, and color style Covers digital photo housekeeping tips?how to organize, edit, and share your files Tap all the tools in this hot new DSLR camera and start taking some great pix with Nikon D3100 For Dummies.

    In the quantum realm, objects can be in two places at once. It's a place where time travel is not only possible, but necessary. It's a place where cause and effect can happen in reverse and observing something changes its state. From parallel universes to antimatter, quantum mechanics has revealed that when you get right down to it, the laws of nature are insane. The scientist J. B. S. Haldane once said, 'Reality is not only stranger than we imagine . . . it's stranger than we can imagine.' Never is this more true than with quantum mechanics; our best, most recent attempt to make sense of the fundamental laws of nature.Fundamental is a comprehensive beginner's guide to quantum mechanics, explaining not only the weirdness of the subject but the experiments that proved it to be true. Using a humorous and light-hearted approach, Fundamental tells the story of how the most brilliant minds in science grappled with seemingly impossible ideas and gave us everything from microchips to particle accelerators. Fundamental gives clear explanations of all the quantum phenomena known to modern science, without requiring an understanding of complex mathematics; tells the eccentric stories of the scientists who made these shattering discoveries and what they used them for; explains how quantum field theory (a topic not covered in detail by any other popular-science book) gave rise to particle physics and why the Higgs boson isn't the end of the story.

    This proven and accessible text speaks to beginning engineering and math students through a wealth of pedagogical aids, including an abundance of examples, explanations, "Remarks" boxes, definitions, and group projects. Using a straightforward, readable, and helpful style, this book provides a thorough treatment of boundary-value problems and partial differential equations.

    Organized around the central concept of a vector space, the book includes numerous physical applications in the body of the text as well as many problems of a physical nature. It is also one of the purposes of this book to introduce the physicist to the language and style of mathematics as well as the content of those particular subjects with contemporary relevance in physics.Chapters 1 and 2 are devoted to the mathematics of classical physics. Chapters 3, 4 and 5 — the backbone of the book — cover the theory of vector spaces. Chapter 6 covers analytic function theory. In chapters 7, 8, and 9 the authors take up several important techniques of theoretical physics — the Green's function method of solving differential and partial differential equations, and the theory of integral equations. Chapter 10 introduces the theory of groups. The authors have included a large selection of problems at the end of each chapter, some illustrating or extending mathematical points, others stressing physical application of techniques developed in the text.Essentially self-contained, the book assumes only the standard undergraduate preparation in physics and mathematics, i.e. intermediate mechanics, electricity and magnetism, introductory quantum mechanics, advanced calculus and differential equations. The text may be easily adapted for a one-semester course at the graduate or advanced undergraduate level.

    The novel approach taken here banishes determinants to the end of the book and focuses on the central goal of linear algebra: understanding the structure of linear operators on vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. For example, the book presents - without having defined determinants - a clean proof that every linear operator on a finite-dimensional complex vector space (or an odd-dimensional real vector space) has an eigenvalue. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. This second edition includes a new section on orthogonal projections and minimization problems. The sections on self-adjoint operators, normal operators, and the spectral theorem have been rewritten. New examples and new exercises have been added, several proofs have been simplified, and hundreds of minor improvements have been made throughout the text.

    Written with student centred, pedagogically driven approach, the text provides a self-contained introduction to the theory of signals and systems. This book looks at the concepts of systems, and also examines signals and the way that signals interact with physical systems. It covers topics ranging from basic signals and systems to signal analysis, properties of continuous-time Fourier transforms including Fourier transforms of standard signals, signal transmission through linear systems, relation between convolution and correlation of signals, sampling theorems and techniques, and transform analysis of LTI systems. All the solved and unsolved problems in this book are designed to illustrate the topics in a clear way.

    He is also the Head Teaching Fellow for the most popular course at Harvard, “Positive Psychology,” which is taken by more than 1,000 students per semester and led by Professor Tal Ben-Shahar.  Shawn received his B.A. in English from Harvard and a Master’s from Harvard Divinity School in Christian and Buddhist Ethics. Part of his interest in positive psychology stems from a troubling fact: studies have shown that many of Harvard’s undergraduates suffer from depression at some point in their college careers. One Day University is a unique educational experience  that brings intellectuals together to learn from top rated professors at Yale, Harvard, Stanford, Columbia and other prestigious universities. Chosen for their excellent teaching abilities as rated by their students, these great thinkers represent a wide variety of academic disciplines and share their knowledge in 60 minute, highly entertaining lectures. Offering the ability to learn the highlights of academic thought in world affairs, politics, history, science, art, and more; One Day University is a way to truly enjoy the thrill of learning without the pressures of tests and the high price tag of college tuition. Once reserved only for students who could attend the lectures in New York and other major cities, One Day University courses are now available to everyone from the comfort of their own homes in Kindle format.

    Unlike the rest of the world's archipelagoes, it still has 95 percent of its prehuman quota of species. Wildlife of the Galapagos is the most superbly illustrated and comprehensive identification guide ever to the natural splendor of these incomparable islands--islands today threatened by alien species and diseases that have diminished but not destroyed what so enchanted Darwin on his arrival there in 1835. Covering over 200 commonly seen birds, mammals, reptiles, invertebrates, and plants, it reveals the archipelago's striking beauty through more than 400 color photographs, maps, and drawings and well-written, informative text. While the Galapagos Giant Tortoise, the Galapagos Sea Lion, and the Flightless Cormorant are recognized the world over, these thirty-three islands--in the Pacific over 600 miles from mainland Ecuador--are home to many more unique but less famous species. Here, reptiles well outnumber mammals, for they were much better at drifting far from a continent the archipelago was never connected with; the largest native land mammals are rice rats. The islands' sixty resident bird species include the only penguin to breed entirely in the tropics and to inhabit the Northern Hemisphere. There is a section offering tips on photography in the Equatorial sunlight, and maps of visitors' sites as well as information on the archipelago's history, climate, geology, and conservation. Wildlife of the Galapagos is the perfect companion for anyone who wants to know what so delighted Darwin. Covers over 200 commonly seen species including birds, mammals, reptiles, invertebrates, plants, and coastal and marine life Illustrated with over 400 color photographs, maps, and drawings; includes maps of visitors' sites Written by wildlife experts with extensive knowledge of the area Includes information on the history, climate, geology, and conservation of the islands The most complete identification guide to the wildlife of the Galapagos

    Each sketch contains Questions and Projects to help you learn more about its topic and to see how its main ideas fit into the bigger picture of history. The 25 short stories are preceded by a 56-page bird's-eye overview of the entire panorama of mathematical history, a whirlwind tour of the most important people, events, and trends that shaped the mathematics we know today. Reading suggestions after each sketch provide starting points for readers who want to pursue a topic further."

    Contains 640 problems including solutions; additional practice problems with answers; explanations of complex variable theory; coverage of applications of complex variables in engineering, physics, and elsewhere, with accompanying sample problems and solutions.

    He also offers a concise overview of algebra’s history and its many practical applications in modern life.Combining Gonick’s unique ability to make difficult topics fun, interesting, and easy-to-understand—while still relaying the essential information in a clear, organized and accurate format—The Cartoon Guide to Algebra is an essential supplement for students of all levels, in high school, college, and beyond.

    This introductory text is suitable for use in a course on the subject or for self-study, featuring broad coverage and a readable exposition, with many examples and exercises. The four main chapters present the basics: fundamental group and covering spaces, homology and cohomology, higher homotopy groups, and homotopy theory generally. The author emphasizes the geometric aspects of the subject, which helps students gain intuition. A unique feature is the inclusion of many optional topics not usually part of a first course due to time constraints: Bockstein and transfer homomorphisms, direct and inverse limits, H-spaces and Hopf algebras, the Brown representability theorem, the James reduced product, the Dold-Thom theorem, and Steenrod squares and powers.

    The book includes charts with the recipes, instructions on keeping diets simple and balanced, guidelines on preparation, suggestions for finding ingredients, and how much to feed a dog by body weight. There are recipes for healthy adult dogs, as well as guidelines for puppies, senior dogs, and dogs with health conditions including pancreatitis, renal problems, gastric issues, allergies, heart disease, liver disease, and cancer.Tracing the history of feeding dogs, the author shows when commercial dog food rose and took hold of the market. She discusses canine nutritional needs and provides research on how home-prepared foods can meet pets' needs better than commercial, processed dog food. Written with thorough information for the seasoned raw feeder, this guide can also be easily followed by any newcomer to home-feeding.This revised edition includes new information on special care and feeding of pregnant, newborn, performance, and toy breed dogs as well as senior dog considerations and the safety of the raw food diet for dogs.From the Trade Paperback edition.