Since the first edition of this book, geometrical methods in the theory of ordinary differential equations have become very popular and some progress has been made partly with the help of computers. Much of this progress is represented in this revised, expanded edition, including such topics as the Feigenbaum universality of period doubling, the Zoladec solution, the Iljashenko proof, the Ecalle and Voronin theory, the Varchenko and Hovanski theorems, and the Neistadt theory. In the selection of material for this book, the author explains basic ideas and methods applicable to the study of differential equations. Special efforts were made to keep the basic ideas free from excessive technicalities. Thus the most fundamental questions are considered in great detail, while of the more special and difficult parts of the theory have the character of a survey. Consequently, the reader needs only a general mathematical knowledge to easily follow this text. It is directed to mathematicians, as well as all users of the theory of differential equations.

Everybody knows that mathematics is indispensable to physics--imagine where we'd be today if Einstein and Newton didn't have the math to back up their ideas. But how many people realize that physics can be used to produce many astonishing and strikingly elegant solutions in mathematics? Mark Levi shows how in this delightful book, treating readers to a host of entertaining problems and mind-bending puzzlers that will amuse and inspire their inner physicist.

Levi turns math and physics upside down, revealing how physics can simplify proofs and lead to quicker solutions and new theorems, and how physical solutions can illustrate why results are true in ways lengthy mathematical calculations never can. Did you know it's possible to derive the Pythagorean theorem by spinning a fish tank filled with water? Or that soap film holds the key to determining the cheapest container for a given volume? Or that the line of best fit for a data set can be found using a mechanical contraption made from a rod and springs? Levi demonstrates how to use physical intuition to solve these and other fascinating math problems. More than half the problems can be tackled by anyone with precalculus and basic geometry, while the more challenging problems require some calculus. This one-of-a-kind book explains physics and math concepts where needed, and includes an informative appendix of physical principles.

"The Mathematical Mechanic" will appeal to anyone interested in the little-known connections between mathematics and physics and how both endeavors relate to the world around us.

Praise for HOW TO PERSUADE PEOPLE WHO DON'T WANT TO BE PERSUADED

"Joel Bauer has brought the art and science of persuasion to a whole new level with How to Persuade People Who Don't Want to Be Persuaded. His remarkable technologies will amaze even the most dedicated of skeptics."
- Anthony Robbins, author of Awaken the Giant Within and Unlimited Power

"Joel Bauer and Mark Levy bring incredible insight to this most essential of business skills: persuasion. Whether you're a CEO or a field rep, if your job is to make the sale, you'll find this book of immediate value."
-Gary Hoover, founder, Hoover's Inc.

"If the devil wrote a manual on how to get people to do your bidding, this would be it. Chillingly good."
-Joe Vitale, author of Spiritual Marketing

"Joel Bauer and Mark Levy's book is phenomenal. I read an early draft and used two techniques (the Paper Metaphor and the Transformation Mechanism) at a tradeshow to generate a year's worth of qualified leads in three days! This book will make your sales productivity soar."
-Kevin Daum, CEO, Stratford Financial Services, an INC 500 company

"Be very, very careful with this book in your hands. It is powerful-almost too powerful-to the point of being explosive. This is no mealy-mouthed, run-of-the-mill, watered-down business book. This is a book that will change the way you do just about everything associated with your business: from approaching new clients to communicating with senior executives in a way that not only grabs their attention, but solidifies their commitment as well. Can you handle it? (By the way . . . I just used one of the many techniques I learned in How to Persuade People Who Don't Want to BePersuaded: The Fright Challenge!)"
-Bill Treasurer, founder, Giant Leap Consulting, Inc., author of Right Risk

"This is the best book on persuasion (no, make that the best book on life) since How to Win Friends and Influence People, and the best book on selling I've ever read. Bauer and Levy have revolutionized the art of salesmanship."
-Jack Foster, author of How to Get Ideas

Everybody knows that mathematics is indispensable to physics--imagine where we'd be today if Einstein and Newton didn't have the math to back up their ideas. But how many people realize that physics can be used to produce many astonishing and strikingly elegant solutions in mathematics? Mark Levi shows how in this delightful book, treating readers to a host of entertaining problems and mind-bending puzzlers that will amuse and inspire their inner physicist. Levi turns math and physics upside down, revealing how physics can simplify proofs and lead to quicker solutions and new theorems, and how physical solutions can illustrate why results are true in ways lengthy mathematical calculations never can. Did you know it's possible to derive the Pythagorean theorem by spinning a fish tank filled with water? Or that soap film holds the key to determining the cheapest container for a given volume? Or that the line of best fit for a data set can be found using a mechanical contraption made from a rod and springs? Levi demonstrates how to use physical intuition to solve these and other fascinating math problems. More than half the problems can be tackled by anyone with precalculus and basic geometry, while the more challenging problems require some calculus. This one-of-a-kind book explains physics and math concepts where needed, and includes an informative appendix of physical principles. The Mathematical Mechanic will appeal to anyone interested in the little-known connections between mathematics and physics and how both endeavors relate to the world around us.

Since the first edition of this book, geometrical methods in the theory of ordinary differential equations have become very popular and some progress has been made partly with the help of computers. Much of this progress is represented in this revised, expanded edition, including such topics as the Feigenbaum universality of period doubling, the Zoladec solution, the Iljashenko proof, the Ecalle and Voronin theory, the Varchenko and Hovanski theorems, and the Neistadt theory. In the selection of material for this book, the author explains basic ideas and methods applicable to the study of differential equations. Special efforts were made to keep the basic ideas free from excessive technicalities. Thus the most fundamental questions are considered in great detail, while of the more special and difficult parts of the theory have the character of a survey. Consequently, the reader needs only a general mathematical knowledge to easily follow this text. It is directed to mathematicians, as well as all users of the theory of differential equations.

Ever wonder why cats land on their feet? Or what holds a spinning top upright? Or whether it is possible to feel the Earth's rotation in an airplane? "Why Cats Land on Their Feet" is a compendium of paradoxes and puzzles that readers can solve using their own physical intuition. And the surprising answers to virtually all of these astonishing paradoxes can be arrived at with no formal knowledge of physics.

Mark Levi introduces each physical problem, sometimes gives a hint or two, and then fully explains the solution. Here readers can test their critical-thinking skills against a whole assortment of puzzles and paradoxes involving floating and diving, sailing and gliding, gymnastics, bike riding, outer space, throwing a ball from a moving car, centrifugal force, gyroscopic motion, and, of course, falling cats.

Want to figure out how to open a wine bottle with a book? Or how to compute the square root of a number using a tennis shoe and a watch? "Why Cats Land on Their Feet" shows you how, and all that's required is a familiarity with basic high-school mathematics. This lively collection also features an appendix that explains all physical concepts used in the book, from Newton's laws to the fundamental theorem of calculus.

Price review disputes have become an increasingly prominent feature in gas and LNG markets over the past decade. While the first wave of disputes were driven by the 'triple whammy' of recession, US shale gas and the liberalisation of the gas markets in Europe, further waves have followed with the development of increasingly liquid trading hubs across Europe, ongoing volatility in commodity prices and the continuing influx of liquefied natural gas (LNG) into Europe. And the trends previously seen in Europe are starting to be replicated in Asian markets. This practical second edition will cover the various aspects of international gas pricing disputes. It contains contributions from leading international arbitration practitioners and arbitrators in the field, in-house counsel and industry experts. It covers the various stages of a gas pricing dispute, from drafting the clause to triggering a review, all the way through the various stages of the arbitral process. It also builds on the first edition by containing insights into more substantive topics such as hub indexation, the impact on pricing of non-price terms like destination flexibility, and the differences between gas and LNG price reviews. Despite the large number of high-value disputes in this area, this is one of the very few publications to draw together the various strands of gas pricing disputes into one book. It is therefore an invaluable guide for practitioners, in-house counsel and anyone else with an interest in this area.

Music is a music producer ex- model that cant seem to get her love life in order. When the guy that she's been unofficially dating announces his marriage to Music's once friend and colleague she's introduced to love in a different color. Her producer partner hooks her up with Jaylen a Professional Football Player who believed in good old fashion love. Not yet ready to give up on her ways blaming the exit of her dad and the miscommunication about love from her mom She believes there is no way she would ever be in a relationship, She's thirty and never even seen a relationship. . Music becomes reckless cheating on Jaylen with the guys who left her questioning her worth everyday so Jaylen plans his own revenge but it ends up being much sweeter than he expected .While Music's relationship spends out of control so does her mental state. She then has to manage to keep her career from loosing its creditability and be there to aid her three friends as they hit there own train wreck. With Sasha's paternity over her daughter Aja becomes questioned, Reese billion Dollar Company under investigation and an abusive boyfriend, and Draya's marriage torn apart by disease of cheating. Music feels when her life is up the ones around her are down and learns the consequences of being a Girlfriend starter and not a girlfriend.

Void//In Art?brings together the author's many years of meditation practice with his knowledge of art history and?the sacred wisdom texts of Eastern philosophy to show how the experience of the Great Void of ultimate reality, a central aspect of the meditation experience, is embodied in different ways in?mostly esoteric Hindu, Buddhist, and Taoist art as well as in the work of several modern and contemporary Eastern and Western artists. Lesser metaphysical and existential voids are?also discussed in their appropriate contexts. The Eastern section of? the book is largely? organized by different cultures and genres while in the Western section the examination of the works of art is?constructed in a more chronological fashion to show the rationale behind the basic?abhorrence of the Void in art until the early 19th century. Throughout the book the importance of the Void in art and life is emphasized.?

NEW EDITION, REVISED AND UPDATED

When it comes to creating ideas, we hold ourselves back. That's because inside each of us is an internal editor whose job is to forever polish our thoughts, so we sound smart and in control, and so that we fit into society. But what happens when we encounter problems where such conventional thinking fails us? How to get unstuck? For Mark Levy, the answer is freewriting, a technique he's used for years to solve all types of business problems, and generate ideas for books, articles and blog posts. Freewriting is deceptively simple: Start writing as fast as you can, for as long as you can, about a subject you care deeply about, while ignoring the standard rules of grammar and spelling. Your internal editor won't be able to keep up with your output, and will be temporarily shunted into the background. You'll now be able to think more honestly and resourcefully than before, and will generate breakthrough ideas and solutions that you couldn't have created any other way. Levy shares six freewriting secrets designed to knock out your editor and let your genius run free. He also includes fifteen problem-solving and creativity-stimulating principles you can use if you need more firepower--seven of which are new to this edition--and stories of problems he and others have solved through freewriting. Also new to this edition: an extensive section on how to refine your freewriting into something you can share with the world. Although Levy originally taught freewriting as a private brainstorming technique, over the years he and his clients have found that, with some tweaking, it's a great way to generate content for books, articles, and other thought leadership pieces.

This book grew, in part, out of an undergraduate course Dr. Levy taught at the San Francisco Art Institute. Finding that students were still subscribing to the 19th-century bohemian myth that to have a vision, one had to, in the words of Rimbaud, "systematically derange" one's senses, he attempted to expose them to an alternative myth that is more positive -- a myth rooted in the grounded practice of shamanic techniques.

Enormous progress in asthma research has been made in the past 50 years, including a greater understanding of its complex pathogenesis and new and more effective therapies. Consequently, the scientific literature has grown vast and can be difficult to integrate. With contributions from a distinguished panel of world-renowned authors, Clinical Asthma: Theory and Practice presents a comprehensive study of both the common and the more challenging problems faced by all health care personnel who treat patients with asthma. The book is divided into seven sections, starting with the basics of asthma and ending with a discussion on the approach to asthma worldwide and in the primary care setting. Reflecting a strong clinical emphasis, each chapter begins with a patient case study supported by essential background information on the basic science and clinical decision-making process. This is followed by a discussion of clinical evaluation and management. The multidisciplinary coverage explores a range of topics including genetics, inflammation, immunology, and the identification of different endotypes. Using a bench-to-bedside approach, the book links basic science to the clinical management of asthma and explores options for improvement. The carefully selected authorship from experts worldwide presents a truly global outlook.