Hermann Weyl explores the concept of symmetry beginning with the idea that it represents a harmony of proportions, and gradually departs to examine its more abstract varieties and manifestations--as bilateral, translatory, rotational, ornamental, and crystallographic. Weyl investigates the general abstract mathematical idea underlying all these special forms, using a wealth of illustrations as support. Symmetry is a work of seminal relevance that explores the great variety of applications and importance of symmetry.

    Linear algebra is tightly integrated into the text.

    Indeed, such equations are crucial to mathematical physics. Although simplifications can be made that reduce these equations to ordinary differential equations, nevertheless the complete description of physical systems resides in the general area of partial differential equations.This highly useful text shows the reader how to formulate a partial differential equation from the physical problem (constructing the mathematical model) and how to solve the equation (along with initial and boundary conditions). Written for advanced undergraduate and graduate students, as well as professionals working in the applied sciences, this clearly written book offers realistic, practical coverage of diffusion-type problems, hyperbolic-type problems, elliptic-type problems, and numerical and approximate methods. Each chapter contains a selection of relevant problems (answers are provided) and suggestions for further reading.

    It provides a simple, thorough survey of elementary topics, starting with set theory and advancing to metric and topological spaces, connectedness, and compactness. 1975 edition.

    Our beginners guide contains all the essential information you need in order to succeed. It covers the basic techniques, well illustrated with over a hundred images, and explains everything you need to know in an understandable way. Bonsai Empire is the world's most visited Bonsai website and has provided beginners with quality information for over a decade. We have developed this guide to help you get a taste of this fascinating and living art, and hope you'll enjoy it as much as we do! This book includes: - Over 100 stunning images - Over 80 pages - Explanations of the basic techniques - Care guides on the 10 most popular tree species - Background on the history, definition and styles Walter Pall: "Now here is the ultimate book to lead beginners. I am happy to have been able to contribute to this" Mauro Stemberger "Very clear" and "With great quality drawings and pics"

    These vignettes serve as springboards to many telling perspectives: simple arithmetic puts life-long habits in a dubious new light; higher dimensional geometry helps us see that we're all rather peculiar; nonlinear dynamics explains the narcissism of small differences cascading into very different siblings; logarithms and exponentials yield insight on why we tend to become bored and jaded as we age; and there are tricks and jokes, probability and coincidences, and much more.For fans of Paulos or newcomers to his work, this witty commentary on his life--and yours--is fascinating reading.From the Trade Paperback edition.

    No, hang on, let's make this interesting. Between zero and infinity. Even if you stick to the whole numbers, there are a lot to choose from - an infinite number in fact. Throw in decimal fractions and infinity suddenly gets an awful lot bigger (is that even possible?) And then there are the negative numbers, the imaginary numbers, the irrational numbers like pi which never end. It literally never ends.The world of numbers is indeed strange and beautiful. Among its inhabitants are some really notable characters - pi, e, the "imaginary" number i and the famous golden ratio to name just a few. Prime numbers occupy a special status. Zero is very odd indeed: is it a number, or isn't it?How Numbers Work takes a tour of this mind-blowing but beautiful realm of numbers and the mathematical rules that connect them. Not only that, but take a crash course on the biggest unsolved problems that keep mathematicians up at night, find out about the strange and unexpected ways mathematics influences our everyday lives, and discover the incredible connection between numbers and reality itself. ABOUT THE SERIESNew Scientist Instant Expert books are definitive and accessible entry points to the most important subjects in science; subjects that challenge, attract debate, invite controversy and engage the most enquiring minds. Designed for curious readers who want to know how things work and why, the Instant Expert series explores the topics that really matter and their impact on individuals, society, and the planet, translating the scientific complexities around us into language that's open to everyone, and putting new ideas and discoveries into perspective and context.

    David Peat explains the development and meaning of this Superstring Theory in a thoroughly readable, dramatic manner accessible to lay readers with no knowledge of mathematics. The consequences of the Superstring Theory are nothing less than astonishing.

    Focused on helping students understand and construct proofs and expanding their mathematical maturity, this best-selling text is an accessible introduction to discrete mathematics. Johnsonbaugh's algorithmic approach emphasizes problem-solving techniques. The Seventh Edition reflects user and reviewer feedback on both content and organization.

    What do you want to learn? Discover the Power of Real Data Mario Triola remains the market-leading statistics author by engaging readers of each edition with an abundance of real data in the examples, applications, and exercises. Statistics is all around us, and Triola helps readers understand how this course will impact their lives beyond the classroom–as consumers, citizens, and professionals. Essentials of Statistics, Fourth Edition is a more economical and streamlined introductory statistics text. Drawn from Triola’s Elementary Statistics, Eleventh Edition, this text provides the same student-friendly approach with material presented in a real-world context. The Fourth Edition contains more than 1,700 exercises (18% more than the previous edition); 89% are new and 81% use real data. The book also contains hundreds of examples; 86% are new and 92% use real data. By analyzing real data, readers are able to connect abstract concepts to the world at large, teaching them to think statistically and apply their conceptual understanding using the same methods that professional statisticians employ. Datasets and other resources (where applicable) for this book are available here.

    This text provides a simple and straightforward introduction to econometrics for the beginner. The book is designed to help students understand econometric techniques through extensive examples, careful explanations, and a wide variety of problem material. In each of the editions, I have tried to incorporate major developments in the field in an intuitive and informative way without resort to matrix algebra, calculus, or statistics beyond the introductory level. The fourth edition continues that tradition.

    Many of these students are extremely intelligent and hardworking, but even the best will, at some point, struggle with the demands of making the transition to advanced mathematics. Some have difficulty adjusting to independent study and to learning from lectures. Other struggles, however, are more fundamental: the mathematics shifts in focus from calculation to proof, so students are expected to interact with it in different ways. These changes need not be mysterious - mathematics education research has revealed many insights into the adjustments that are necessary - but they are not obvious and they do need explaining.This no-nonsense book translates these research-based insights into practical advice for a student audience. It covers every aspect of studying for a mathematics degree, from the most abstract intellectual challenges to the everyday business of interacting with lecturers and making good use of study time. Part 1 provides an in-depth discussion of advanced mathematical thinking, and explains how a student will need to adapt and extend their existing skills in order to develop a good understanding of undergraduate mathematics. Part 2 covers study skills as these relate to the demands of a mathematics degree. It suggests practical approaches to learning from lectures and to studying for examinations while also allowing time for a fulfilling all-round university experience.The first subject-specific guide for students, this friendly, practical text will be essential reading for anyone studying mathematics at university.

    

    The Golden Retriever's personality is as golden as his outer coat. He was bred to please, and please he does. He started out as a hunting partner who delivered birds to hand and has evolved into modern times delivering whatever suits his owner's fancy. Because Golden Retrievers were originally bred to work in tandem with humans, they are also highly trainable. Golden Retrievers For Dummies is intended for busy 21st century dog owners who don't have time to sit down and read through 300 pages at a crack. This is a reference you can jump in and out of as dog questions rear their furry heads. This handy guide is also for you ifYou own a Golden Retriever or thinking about getting one. You've just brought home a Golden pup. You want to find the best way to raise and train your Golden. You want to help your Golde n to not just survive but to thrive. Find out what it takes to own this active, intelligent, and friendly dog. Explore the Golden's personality traits and living requirements. Discover which diseases are hereditary. This reference guide covers all the aspects of dog ownership, including:Looking at breeders, rescue groups, and animal shelters Adopting and caring for older dogs Selecting a puppy with help from an established testing process Dog-proofing your house and yard Crate training, housetraining, and obedience training Canine communication and growing pains Feeding, exercising, and playing with your Golden Dealing with illness, problem behavior, and treatment Grooming for health and beauty If you're serious about this Golden business and not just caving in to the kids or some other wild impulse, follow the advice of responsible dog owners and breeders. Look deep into your dog-loving soul and carefully consider the big picture. Love alone is not enough.

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