Beautifully illustrated with old engravings as well as contemporary imagery, Sacred Number introduces basic counting systems; significant numbers from major religious texts; the importance of astronomy, geometry, and music to number quality; how numbers affect architecture. Lundy explains why the ideas of Pythagoras still resonate, and she profiles each number from one to ten to show its distinct qualities: why, for example, the golden section is associated with five, and seven with the Virgin Mary.

    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 biological background provided enables students to comprehend the major problems in biochemical engineering and formulate effective solutions.

    The Golden Section—otherwise known as phi, the golden mean, or the golden ratio—is one of the most elegant and beautiful rations in the universe.Defined as a line segment divided into two unequal parts, such that the ratio of the shorter portion to the longer portion is the same as the ratio of the longer portion to the whole, it pops up throughout nature—in water, DNA, the proportions of fish and butterflies, and the number of teeth we possess—as well as in art and architecture, music, philosophy, science, and mathematics.Beautifully illustrated, The Golden Section tells the story of this remarkable construct and its wide-ranging impact on civilization and the natural world.

    These themes include mathematical reasoning, combinatorial analysis, discrete structures, algorithmic thinking, and enhanced problem-solving skills through modeling. Its intent is to demonstrate the relevance and practicality of discrete mathematics to all students. The Fifth Edition includes a more thorough and linear presentation of logic, proof types and proof writing, and mathematical reasoning. This enhanced coverage will provide students with a solid understanding of the material as it relates to their immediate field of study and other relevant subjects. The inclusion of applications and examples to key topics has been significantly addressed to add clarity to every subject. True to the Fourth Edition, the text-specific web site supplements the subject matter in meaningful ways, offering additional material for students and instructors. Discrete math is an active subject with new discoveries made every year. The continual growth and updates to the web site reflect the active nature of the topics being discussed. The book is appropriate for a one- or two-term introductory discrete mathematics course to be taken by students in a wide variety of majors, including computer science, mathematics, and engineering. College Algebra is the only explicit prerequisite.

    It is an invitation to the reader to put aside their traditional understanding of the Gospel of John and to replace it with another one more faithful to the original text perspective. The Jesus that will emerge will provoke to rethink most of what you knew about this gospel. The book is a well-rounded verse-by-verse illustrated rethinking of the fourth gospel. Here is the catch: instead of reading it, as if it was written for 21 century Gentile Christians, the book interprets it as if it was written for the first-century peoples of ancient Israel. The book proves what Krister Stendahl stated long time ago: “Our vision is often more abstracted by what we think we know than by our lack of knowledge.” Other than challenging the long-held interpretations of well-known stories, the author with the skill of an experienced tour guide, takes us to a seat within those who most probably heard this gospel read in the late first century. Such exploration of variety of important contexts allows us to recover for our generation the true riches of this marvelous Judean gospel. “A genuine apologetic is one that is true to the texts and the history, akin to the speeches of a defense attorney with integrity. Using the best of contemporary scholarship in first-century Judaic history and contributing much of his own, Dr. Eli Lizorkin-Eyzenberg has demonstrated that the Gospel of John is not an anti-Jewish, but a thoroughly Jewish book.” Daniel Boyarin, Hermann P. and Sophia Taubman Professor of Talmudic Culture, University of California, Berkeley “Dr. Lizorkin-Eyzenberg places the text of John’s Gospel in its authentic context by examining the Dead Sea Scrolls, Philo, rabbinic literature, and suggesting innovative explanations for the nomenclature, ‘the Jews.’ His fresh analysis is sure to stir meaningful debate. His creative approach will make an enduring contribution to the discipline of New Testament studies.” Brad Young, Professor of Biblical Literature in Judeao-Christian Studies, Oral Roberts University “For some time, research on the Gospels has suffered from stagnation, and there is a feeling that there is not much new that one can say. In light of this, Dr. Eli Lizorkin-Eyzenberg’s new commentary on the Gospel of John, with its original outlook on the identity of the original audience and the issues at stake, is extremely refreshing.” Ishay Rosen-Zvi, Head of the Talmud and Late Antiquity Department, Tel-Aviv University.

    Provides a review of introductory noncalculus-based physics for those who do not have a strong background in mathematics.

    For it is but the record of the public and official acts of human beings. It is our object, therefore, to humanize our history and deal with people past and present; people who ate and possibly drank; people who were born, flourished, and died. And if we cannot laugh at ourselves, then we are condemned to repeat the very same deeds of the past.

    Describes how fractals were discovered, explains their unique properties, and discusses the mathematical foundation of fractals.

    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.

    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"

    She believes you can too.

    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.

    In this little book Welsh writer and artist David Wade paints a picture of one of the most elusive and pervasive concepts known to man.

    The widely respected psychology and education author reveals his most important self-help theory since his bestselling "Reality Therapy." "I can imagine no more useful advice."--Norman Cousins