Topics in Mathematical Modeling
Topics in Mathematical Modeling

Author: Ka-Kit Tung

Publisher: Princeton University Press

Published: 2016-06-14

Total Pages: 319

ISBN-13: 1400884055

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Topics in Mathematical Modeling is an introductory textbook on mathematical modeling. The book teaches how simple mathematics can help formulate and solve real problems of current research interest in a wide range of fields, including biology, ecology, computer science, geophysics, engineering, and the social sciences. Yet the prerequisites are minimal: calculus and elementary differential equations. Among the many topics addressed are HIV; plant phyllotaxis; global warming; the World Wide Web; plant and animal vascular networks; social networks; chaos and fractals; marriage and divorce; and El Niño. Traditional modeling topics such as predator-prey interaction, harvesting, and wars of attrition are also included. Most chapters begin with the history of a problem, follow with a demonstration of how it can be modeled using various mathematical tools, and close with a discussion of its remaining unsolved aspects. Designed for a one-semester course, the book progresses from problems that can be solved with relatively simple mathematics to ones that require more sophisticated methods. The math techniques are taught as needed to solve the problem being addressed, and each chapter is designed to be largely independent to give teachers flexibility. The book, which can be used as an overview and introduction to applied mathematics, is particularly suitable for sophomore, junior, and senior students in math, science, and engineering.

Fibonacci Trading: How to Master the Time and Price Advantage
Fibonacci Trading: How to Master the Time and Price Advantage

Author: Carolyn Boroden

Publisher: McGraw Hill Professional

Published: 2008-03-17

Total Pages: 320

ISBN-13: 0071596739

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Made famous by the Italian mathematician Leonardo De Pisa, the Fibonacci number series holds a Golden Ratio that is universally found in nature and used by architects, plastic surgeons, and many others to achieve “perfect” aesthetic proportions. Now, in this groundbreaking guide, noted technical trading advisor Carolyn Boroden shows you how Fibonacci pattern studies can be used as an extremely effective method for achieving greater profitability in stocks, futures, and Forex markets. Fibonacci Trading provides a one-stop resource of reliable tools and clear explanations for both identifying and taking advantage of the trade setups naturally occurring in the markets that will enable you to reach the highest rate of profitable trades. Inside, you'll find a unique trading methodology based on Fibonacci ratios, and the author's personal experience analyzing and setting up the markets in real time, which makes this practical volume invaluable to the self-directed investor. Complete with detailed charts and insightful graphics in each chapter, Fibonacci Trading features: Dependable guidance for determining important support and resistance levels, along with expert advice for using them to maximize profits and limit losses Step-by-step processes for using Fibonacci analysis to predict turning points in the market far enough in advance to generate substantial profit Valuable tips for using Fibonacci analysis to establish optimal stop-loss placement Revealing coverage on how Fibonacci relationships can create a roadmap for the trader based on high percentage patterns Fibonacci Trading also provides a four-step formula for applying the covered techniques in a highly effective approach. Flexible enough for all markets and trading styles, the formula helps you focus your newly developed knowledge and skill sets into a solid trading methodology, defined trading plan, successful trading mindset, and disciplined trading approach that stacks the odds for profit in your favor. This hands-on guide is packed with a wealth of actual trading situations, setups, and scenarios that bring the four-step formula to life so you can immediately use it in the real world.

The Golden Ratio And Fibonacci Numbers
The Golden Ratio And Fibonacci Numbers

Author: Richard A Dunlap

Publisher: World Scientific

Published: 1997-12-16

Total Pages: 170

ISBN-13: 9814496944

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In this invaluable book, the basic mathematical properties of the golden ratio and its occurrence in the dimensions of two- and three-dimensional figures with fivefold symmetry are discussed. In addition, the generation of the Fibonacci series and generalized Fibonacci series and their relationship to the golden ratio are presented. These concepts are applied to algorithms for searching and function minimization. The Fibonacci sequence is viewed as a one-dimensional aperiodic, lattice and these ideas are extended to two- and three-dimensional Penrose tilings and the concept of incommensurate projections. The structural properties of aperiodic crystals and the growth of certain biological organisms are described in terms of Fibonacci sequences.

Fibonacci’s Liber Abaci
Fibonacci’s Liber Abaci

Author: Laurence Sigler

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 736

ISBN-13: 1461300797

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First published in 1202, Fibonacci’s Liber Abaci was one of the most important books on mathematics in the Middle Ages, introducing Arabic numerals and methods throughout Europe. This is the first translation into a modern European language, of interest not only to historians of science but also to all mathematicians and mathematics teachers interested in the origins of their methods.

Math for Mystics
Math for Mystics

Author: Renna Shesso

Publisher: Weiser Books

Published: 2007-04-01

Total Pages: 210

ISBN-13: 1609252748

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Much of math history comes to us from early astrologers who needed to be able to describe and record what they saw in the night sky. Whether you were the king’s court astrologer or a farmer marking the best time for planting, timekeeping and numbers really mattered. Mistake a numerical pattern of petals and you could be poisoned. Lose the rhythm of a sacred dance or the meter of a ritually told story and the intricately woven threads that hold life together were spoiled. Ignore the celestial clock of equinoxes and solstices, and you’d risk being caught short of food for the winter. Shesso’s friendly tone and clear grasp of the information make the math “go down easy” in this marvelous book.

Fibonacci Trading, Chapter 2 - Applying Fibonacci Ratios to the Price Axis of the Market
Fibonacci Trading, Chapter 2 - Applying Fibonacci Ratios to the Price Axis of the Market

Author: Carolyn Boroden

Publisher: McGraw Hill Professional

Published: 2008-02-25

Total Pages: 7

ISBN-13: 0071716181

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This chapter comes from Fibonacci Trading, which shows you how to identify numeric clusters and measure timing signals, in order to achieve the highest rate of profitable trades. Filled with real-world trading situations, the book combines classic trading concepts and Fibonacci analysis to enable you to take advantage of the naturally occurring and recurring patterns within the market.

Trading World Markets Using Phi and the Fibonacci Numbers
Trading World Markets Using Phi and the Fibonacci Numbers

Author: George M. Protonotarios

Publisher: GEORGE PROTONOTARIOS

Published: 2018-11-26

Total Pages: 64

ISBN-13:

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The complete guide to Fibonacci trading and Phi with reference to Elliott Waves, Dow Theory, Gann Numbers, and Harmonic Patterns, for trading successfully the Global Financial Markets (Forex currencies, Stocks, Indices, Metals, and Energies). This Book covers an enormous range of trading theories and methodologies involving the Fibonacci numbers and their products. You will find all the basic Fibonacci trading practices and tools based on Fibonacci ratios in it. Phi and the Fibonacci numbers do not form just another tool of technical analysis. Phi proportions are everywhere: in arts, architecture, our DNA’s helix spiral, and even in our nature’s plant formations. The first chapter begins with the mathematical properties of Phi and several of its applications outside the financial markets. In the next few chapters, you will find information about the Dow Theory, the Elliott Wave Theory, and the Gann numbers. At the end of each chapter, you will be able to detect the correlation of each theory with the Fibonacci numbers. You will learn also how you to use the Fibonacci numbers in order to create a trading system based on Fibonacci Moving Averages (MAs). In addition, you will find information about some popular Fibonacci trading tools such as the Fibonacci Retracement, the Fibonacci Extension, and the Fibonacci Fan. There are two chapters dedicated to Harmonic Trading and Harmonic Patterns. Harmonic trading is one of the most sophisticated trading practices and it is entirely based on Fibonacci proportions. Six basic harmonic patterns are presented with their properties and charts with examples. The last chapter is dedicated to money management and the effect of the irrational brain in our everyday decision-making process. By combining the information and tools presented in all chapters you have the chance to build the foundations of a trading system out of chaos. A trading system that can make you less emotional when trading the global markets and significantly improve your odds of winning.

The Fabulous Fibonacci Numbers
The Fabulous Fibonacci Numbers

Author: Alfred S. Posamentier

Publisher: Prometheus Books

Published: 2010-12-30

Total Pages: 385

ISBN-13: 1615920226

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The most ubiquitous, and perhaps the most intriguing, number pattern in mathematics is the Fibonacci sequence. In this simple pattern beginning with two ones, each succeeding number is the sum of the two numbers immediately preceding it (1, 1, 2, 3, 5, 8, 13, 21, ad infinitum). Far from being just a curiosity, this sequence recurs in structures found throughout nature - from the arrangement of whorls on a pinecone to the branches of certain plant stems. All of which is astounding evidence for the deep mathematical basis of the natural world. With admirable clarity, two veteran math educators take us on a fascinating tour of the many ramifications of the Fibonacci numbers. They begin with a brief history of a distinguished Italian discoverer, who, among other accomplishments, was responsible for popularizing the use of Arabic numerals in the West. Turning to botany, the authors demonstrate, through illustrative diagrams, the unbelievable connections between Fibonacci numbers and natural forms (pineapples, sunflowers, and daisies are just a few examples). In art, architecture, the stock market, and other areas of society and culture, they point out numerous examples of the Fibonacci sequence as well as its derivative, the "golden ratio." And of course in mathematics, as the authors amply demonstrate, there are almost boundless applications in probability, number theory, geometry, algebra, and Pascal's triangle, to name a few. Accessible and appealing to even the most math-phobic individual, this fun and enlightening book allows the reader to appreciate the elegance of mathematics and its amazing applications in both natural and cultural settings.

Day Trading
Day Trading

Author: Justin Kuepper

Publisher: Sourcebooks, Inc.

Published: 2015-04-10

Total Pages: 297

ISBN-13: 1623155754

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All You'll Ever Need to Trade from Home When most people hear the term "day trader," they imagine the stock market floor packed with people yelling 'Buy' and 'Sell' - or someone who went for broke and ended up just that. These days, investing isn't just for the brilliant or the desperate—it's a smart and necessary move to ensure financial wellbeing. To the newcomer, day trading can be a confusing process: where do you begin, and how can you approach trading in a careful yet effective way? With Day Trading you'll get the basics, then: Learn the Truth About Trading Understand The Psychology of Trading Master Charting and Pattern-recognition Study Trading Options Establish Trading Strategies & Money Management Day Trading will let you make the most out of the free market from the comfort of your own computer.

The Golden Ratio & Fibonacci Sequence: Golden Keys to Your Genius, Health, Wealth & Excellence
The Golden Ratio & Fibonacci Sequence: Golden Keys to Your Genius, Health, Wealth & Excellence

Author: Matthew K. Cross

Publisher: Hoshin Media

Published: 2013-04-18

Total Pages: 64

ISBN-13: 9781939623003

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It's been called the Secret of the Universe, a Most Precious Jewel, Nature's Path of Least Resistance and Maximum Performance and The Golden Key to the Cosmos. It is the Grand Pattern of Life, Growth and Success. It has fascinated and appears in the works of the world's greatest geniuses, including Leonardo Da Vinci, Albert Einstein, Walt Disney and Steve Jobs. Now, the open secret of the Golden Ratio and Fibonacci Sequence is revealed for your enjoyment and application. In this book you'll journey through Golden Ratio appearances and applications throughout Nature and the Universe and in all fields of human existence and endeavor, including: art, architecture, astronomy, beauty, business, culture, design, finance, health and longevity, geometry, mathematics, medicine, relationships, science and spirituality. This book presents a delightful cornucopia of Golden Ratio facts and facets, offering a bright window into its universality and power. The information presented is laser-like, with the ability to activate your unique genius and transform your consciousness. Universal wisdom will be at your fingertips once your Golden Doors of Perception are opened to the sacred design code of the Universe: The Golden Ratio & Fibonacci Sequence.