This recreational math book takes the reader on a fantastic voyage into the world of natural numbers. From the earliest discoveries of the ancient Greeks to various fundamental characteristics of the natural number sequence, Clawson explains fascinating mathematical mysteries in clear and easy prose. He delves into the heart of number theory to see and understand the exquisite relationships among natural numbers, and ends by exploring the ultimate mystery of mathematics: the Riemann hypothesis, which says that through a point in a plane, no line can be drawn parallel to a given line.While a professional mathematician's treatment of number theory involves the most sophisticated analytical tools, its basic ideas are surprisingly easy to comprehend. By concentrating on the meaning behind various equations and proofs and avoiding technical refinements, Mathematical Mysteries lets the common reader catch a glimpse of this wonderful and exotic world.

    This book also features the design process, streamlined coverage of statistics, an overview of materials and materials selection, failure and fatigue, and review of basic strength of materials topics.

    The Idea of the World offers a grounded alternative to the frenzy of unrestrained abstractions and unexamined assumptions in philosophy and science today. This book examines what can be learned about the nature of reality based on conceptual parsimony, straightforward logic and empirical evidence from fields as diverse as physics and neuroscience. It compiles an overarching case for idealism - the notion that reality is essentially mental - from ten original articles the author has previously published in leading academic journals. The case begins with an exposition of the logical fallacies and internal contradictions of the reigning physicalist ontology and its popular alternatives, such as bottom-up panpsychism. It then advances a compelling formulation of idealism that elegantly makes sense of - and reconciles - classical and quantum worlds. The main objections to idealism are systematically refuted and empirical evidence is reviewed that corroborates the formulation presented here. The book closes with an analysis of the hidden psychological motivations behind mainstream physicalism and the implications of idealism for the way we relate to the world.

    Topics covered include matrix multiplication, row reduction, matrix inverse, orthogonality and computation. The self-teaching book is loaded with examples and graphics and provides a wide array of probing problems, accompanying solutions, and a glossary. Chapter 1: Introduction to Vectors; Chapter 2: Solving Linear Equations; Chapter 3: Vector Spaces and Subspaces; Chapter 4: Orthogonality; Chapter 5: Determinants; Chapter 6: Eigenvalues and Eigenvectors; Chapter 7: Linear Transformations; Chapter 8: Applications; Chapter 9: Numerical Linear Algebra; Chapter 10: Complex Vectors and Matrices; Solutions to Selected Exercises; Final Exam. Matrix Factorizations. Conceptual Questions for Review. Glossary: A Dictionary for Linear Algebra Index Teaching Codes Linear Algebra in a Nutshell.

    

    . .he believes these ideas to be accessible to the audience he wantsto reach, and he writes so that they are. -- NatureIf you want to encourage anyone's interest in math, get them TheMathematical Universe. * New Scientist

    A remarkable pictorial discussion of the curved space-time we call home, it achieves even greater impact through the use of 141 excellent illustrations. This is the first sustained visual account of many important topics in relativity theory that up till now have only been treated separately.Finding a perfect analogy in the situation of the geometrical characters in Flatland, Professor Rucker continues the adventures of the two-dimensional world visited by a three-dimensional being to explain our three-dimensional world in terms of the fourth dimension. Following this adventure into the fourth dimension, the author discusses non-Euclidean geometry, curved space, time as a higher dimension, special relativity, time travel, and the shape of space-time. The mathematics is sound throughout, but the casual reader may skip those few sections that seem too purely mathematical and still follow the line of argument. Readable and interesting in itself, the annotated bibliography is a valuable guide to further study.Professor Rucker teaches mathematics at the State University of New York in Geneseo. Students and laymen will find his discussion to be unusually stimulating. Experienced mathematicians and physicists will find a great deal of original material here and many unexpected novelties. Annotated bibliography. 44 problems.

    An essential text in the development of modern British drama

    It is no surprise, then, that professional traders and investors invariably use Elliott Wave analysis as a key decision making tool in their market activity. However, most people who try to learn the techniques by themselves often run into difficulty because the real world market movements appear to be different from the examples found in most standard reference books. This book will give you a detailed “working” knowledge of the Wave Principle. Written in simple language, and with plenty of recent and real life examples, "Five Waves to Financial Freedom" will likely become your favorite reference book which you could use to quickly verify whether your own interpretation of the market fits in with the author's guidance. With its liberal use of cross-references, this book will enhance your understanding of the rules and guidelines that govern the Wave Principle. Furthermore, you could use the hundreds of examples available in the author’s website to support what you learn from this book. The techniques outlined in this book are the very same techniques that Ramki has successfully used for nearly 30 years. About the Author: N.Ramakrishnan ( Ramki) is a Treasury Manager with nearly 30 years of market experience. His views are sought after by traders, hedge-fund managers, investors and corporate treasurers from around the world. Ramki has been using the Elliott Wave Principle almost his entire career, and he shares his unique perspective on the markets.Forbes has recently counted Ramki as one of the three excellent Elliott Wave Technical Analysts out there.Raves from readers: "I have found your book on Elliott Wave Analysis to be just as the reviews described it - easy to read with practical examples of how to use EW…"Micheal C"Thank you for the wonderful book on Elliott Waves. It is easy to understand and is not confusing as others on the same subject." Colin P"…Moreover your own concept and combination of Fibonacci ratios are outstanding…" M Dham"I gained lot of confidence on Elliott Waves by reading your book. Became regular reader of your blog too…" Suren B"I can safely say that I haven't seen analysis that was clear and more simply done than yours. Elliott Waves Analysis made easy.." Nikhil L"Thank you very much for great book. My first lessons on Elliot Wave Theory.." A.Ayyagar"I finished reading your book and must say that of all the books on Elliott Waves that I have ever read and is available in market, this one is best in helping to understand the Wave Principle and its practical application.. "Tushar K"I bought your fantastic book on Elliott Waves from Amazon.com.." Mukesh C"I found your book on Elliott Wave Analysis to be the perfect supplement to both Frost and Balan's books on Elliott Waves.." Jeff M"I must tell you that your book on Elliott Wave Analysis is absolutely great. No undue decoration, just plain Elliott. Your personal insights throughout the book provide invaluable tips for real time wave counting.. " Ann D

    But there is one other motive which is as strong as any of these — the search for beauty. Mathematics is an art, and as such affords the pleasures which all the arts afford." In this erudite, entertaining college-level text, Morris Kline, Professor Emeritus of Mathematics at New York University, provides the liberal arts student with a detailed treatment of mathematics in a cultural and historical context. The book can also act as a self-study vehicle for advanced high school students and laymen. Professor Kline begins with an overview, tracing the development of mathematics to the ancient Greeks, and following its evolution through the Middle Ages and the Renaissance to the present day. Subsequent chapters focus on specific subject areas, such as "Logic and Mathematics," "Number: The Fundamental Concept," "Parametric Equations and Curvilinear Motion," "The Differential Calculus," and "The Theory of Probability." Each of these sections offers a step-by-step explanation of concepts and then tests the student's understanding with exercises and problems. At the same time, these concepts are linked to pure and applied science, engineering, philosophy, the social sciences or even the arts.In one section, Professor Kline discusses non-Euclidean geometry, ranking it with evolution as one of the "two concepts which have most profoundly revolutionized our intellectual development since the nineteenth century." His lucid treatment of this difficult subject starts in the 1800s with the pioneering work of Gauss, Lobachevsky, Bolyai and Riemann, and moves forward to the theory of relativity, explaining the mathematical, scientific and philosophical aspects of this pivotal breakthrough. Mathematics for the Nonmathematician exemplifies Morris Kline's rare ability to simplify complex subjects for the nonspecialist.

    It defines our experience of the world; it echoes through our every waking hour. Time is the very foundation of conscious experience. Yet as familiar as it is, time is also deeply mysterious. We cannot see, hear, smell, taste, or touch it. Yet we do "feel" it--or at least we "think" we feel it. No wonder poets, writers, philosophers, and scientists have grappled with time for centuries.In his latest book, award-winning science writer Dan Falk chronicles the story of how humans have come to understand time over the millennia, and by drawing from the latest research in physics, psychology, and other fields, Falk shows how that understanding continues to evolve. "In Search of Time" begins with our earliest ancestors' perception of time and the discoveries that led--with much effort--to the Gregorian calendar, atomic clocks, and "leap seconds." Falk examines the workings of memory, the brain's remarkable "bridge across time," and asks whether humans are unique in their ability to recall the past and imagine the future. He explores the possibility of time travel, and the paradoxes it seems to entail. Falk looks at the quest to comprehend the beginning of time and how time--and the universe--may end. Finally, he examines the puzzle of time's "flow," and the remarkable possibility that the passage of time may be an illusion.Entertaining, illuminating, and ultimately thought provoking, "In Search of Time "reveals what some of our most insightful thinkers have had to say about time, from Aristotle to Kant, from Newton to Einstein, and continuing with the brightest minds of today.

    Over 100 problems at ends of chapters. Answers in back of book. 1962 edition.

    There are over 50,000 entries, including the most common meanings. Japanese terms are shown in romanized Japanese and standard Japanese characters. The romanized entries are listed in alphabetical order, so no knowledge of Japanese is required.

    Endorsed by Cambridge International Examinations for the revised Cambridge IGCSE Business Studies syllabus. It has been written for the revised Cambridge IGCSE (0450) and Cambridge O Level Business Studies (7115) syllabuses, for first teaching from 2013. Reinforces understanding through a variety of activities and discussion points Provides examination preparation with revisions questions and summaries throughout Written in accessible language, but with plenty of detail for top-grade students

    Now brought back into print in this revised and updated edition, the book is written within the great tradition of Abbott's Flatland, and Hinton's famous Sphereland. Accessible, imaginative, and clever, it will appeal to a wide array of readers, from serious mathematicians and computer scientists, to science fiction fans.