This is a very old science and its gems have lost their charm for us through everyday use. We have tried in this book to refresh them for you. The main part of the book is made up of problems. The best way to deal with them is: Solve the problem by yourself - compare your solution with the solution in the book (if it exists) - go to the next problem. However, if you have difficulties solving a problem (and some of them are quite difficult), you may read the hint or start to read the solution. If there is no solution in the book for some problem, you may skip it (it is not heavily used in the sequel) and return to it later. The book is divided into sections devoted to different topics. Some of them are very short, others are rather long. Of course, you know arithmetic pretty well. However, we shall go through it once more, starting with easy things. 2 Exchange of terms in addition Let's add 3 and 5: 3+5=8. And now change the order: 5+3=8. We get the same result. Adding three apples to five apples is the same as adding five apples to three - apples do not disappear and we get eight of them in both cases. 3 Exchange of terms in multiplication Multiplication has a similar property. But let us first agree on notation.

    In this comprehensive and practical guide, you will learn how to make and activate Crystal Grids for yourself, others and your home. Explore the fascinating history and symbolism behind Crystal Grids. Learn how and why Crystal Grids work. Ethan Lazzerini uses over 20 years experience with crystals to formulate 34 intention based Crystal Grids for every purpose. No more secrets, this No.1 Amazon Bestselling book will demystify the world of Crystal Grids. Learn exactly why each different crystal is used and the reason every geometric shape was chosen for each grid. Crystal Grids Power is filled with tips and techniques to supercharge your grids. Access simple to advanced Crystal Grids and learn how to create your own. Includes Powerful Crystal Grids for: Abundance & Prosperity, Psychic Protection, Personal & Distant Healing, Success, Relationships, Increased Energy, Motivation, Angels, Confidence, Better Sleep, Karma Releasing, Life Purpose, Stress Relief, Earth Healing, Overcoming Obstacles, Aura Clearing, Peace & Harmony, Home Protection, New Beginnings and many more... Contains 34 Crystal Grids for all areas of your life Clearly illustrated with diagrams and step-by-step instructions The meaning of Sacred Geometry shapes and symbols explained Learn three different ways to activate your Crystal Grids Helpful substitute crystals are given for every grid Includes FREE Printable Crystal Grid Templates to download Crystal Grids Power is an indispensable guide to the magical world of Crystal Grids. This enlightening book contains EVERYTHING you need to know about Crystal Grids and how to use them. Take a look inside, download a sample or buy your copy today!

    In this comic novel a band of hacker-geeks load state-of-the-art artificial intelligence, including working eyes, ears, spy software, and a smart mouth, into a bunch of old Furby dolls, re-christened Grumbies, network them together, sell millions, become rich and famous and make enemies/allies of Mossad, the CIA, Google, Microsoft, IRS, Goldman Sachs, the guys from Google, and Steve Jobs.

    Since its publication in 1908, it has been a classic work to which successive generations of budding mathematicians have turned at the beginning of their undergraduate courses. In its pages, Hardy combines the enthusiasm of a missionary with the rigor of a purist in his exposition of the fundamental ideas of the differential and integral calculus, of the properties of infinite series and of other topics involving the notion of limit.

    It is highly recommended for anyone planning to study advanced analysis, e.g., complex variables, differential equations, Fourier analysis, numerical analysis, several variable calculus, and statistics. It is also recommended for future secondary school teachers. A limited number of concepts involving the real line and functions on the real line are studied. Many abstract ideas, such as metric spaces and ordered systems, are avoided. The least upper bound property is taken as an axiom and the order properties of the real line are exploited throughout. A thorough treatment of sequences of numbers is used as a basis for studying standard calculus topics. Optional sections invite students to study such topics as metric spaces and Riemann-Stieltjes integrals.

    It reveals the attraction that has drawn leading mathematicians and amateurs alike to number theory over the course of history.

    The first half of the book deals with classical physical optics; the second principally with the quantum nature of light. Chapters 1 and 2 treat the propagation of light waves, including the concepts of phase and group velocities, and the vectorial nature of light. Chapter 3 applies the concepts of partial coherence and coherence length to the study of interference, and Chapter 4 takes up multiple-beam interference and includes Fabry-Perot interferometry and multilayer-film theory. Diffraction and holography are the subjects of Chapter 5, and the propagation of light in material media (including crystal and nonlinear optics) are central to Chapter 6. Chapters 7 and 8 introduce the quantum theory of light and elementary optical spectra, and Chapter 9 explores the theory of light amplification and lasers. Chapter 10 briefly outlines ray optics in order to introduce students to the matrix method for treating optical systems and to apply the ray matrix to the study of laser resonators.Many applications of the laser to the study of optics are integrated throughout the text. The author assumes students have had an intermediate course in electricity and magnetism and some advanced mathematics beyond calculus. For classroom use, a list of problems is included at the end of each chapter, with selected answers at the end of the book.

      “An unexpectedly intimate look into a highly accomplished man, his colleagues and friends, the development of a new field of geometric analysis, and a glimpse into a truly uncommon mind.”—Nina MacLaughlin, Boston Globe “Engaging, eminently readable . . . For those with a taste for elegant and largely jargon-free explanations of mathematics, The Shape of a Life promises hours of rewarding reading.”—Judith Goodstein, American Scientist  Harvard geometer and Fields medalist Shing-Tung Yau has provided a mathematical foundation for string theory, offered new insights into black holes, and mathematically demonstrated the stability of our universe. In this autobiography, Yau reflects on his improbable journey to becoming one of the world’s most distinguished mathematicians. Beginning with an impoverished childhood in China and Hong Kong, Yau takes readers through his doctoral studies at Berkeley during the height of the Vietnam War protests, his Fields Medal–winning proof of the Calabi conjecture, his return to China, and his pioneering work in geometric analysis. This new branch of geometry, which Yau built up with his friends and colleagues, has paved the way for solutions to several important and previously intransigent problems. With complicated ideas explained for a broad audience, this book offers readers not only insights into the life of an eminent mathematician, but also an accessible way to understand advanced and highly abstract concepts in mathematics and theoretical physics.

    There are more than 5000 fintech startups operating, and 50 of them have already reached a billion-dollar valuation. The scope of this market goes way beyond online payments. Financial technology promises to change the way we manage our money online, disrupting the landscape of the financial services industry is being disrupted. Understanding its many facets is the key to navigating the complex nuances of this global industry.Fintech in a Flash is your comprehensive guide to the future of banking and insurance. The book aims to break down the key concepts in a way that will help you understand every aspect so that you can take advantage of new technologies. Inside you’ll find an array of hot topics such as online payments, crowdfunding, challenger banks, online insurance, digital lending, big data, and digital commerce. It will make you rethink the way that you manage your money online, and even find new ways of making online payments. Comprehensive, organized, and detailed, this guide is your go-to source for everything you need to confidently navigate the ever-changing scene of this booming industry.If you decide to buy this book now, you'll get: Easy to understand explanations of the 14 main areas of fintech The author's view on the future of each of these areas Insight into the main fintech hubs in the world Insight into the so called Unicorns, the fintech firms that have made it past a $1 billion valuation More than 100 upcoming fintech companies to watch About the Author: Agustín Rubini is an argentinean-born economist, master in international business, and Director at Banking Innovations. Passionate about building the future of financial services, Agustín spends much of his time speaking and writing on financial technology and advising businesses on innovation and digital transformation. He is a specialist in driving changes in top class banks that want to lead in how customers manage their money online. Tags: fintech, financial technology, financial services technology, money online, online payment, online insurance, insurtech, investing online, wealth management online, wealthtech, regtech, cybercrime, digital lending, digital commerce, ecommerce, e-commerce. Get started immediately Download now and take the first step on your very own road to mastering fintech. Scroll to the top of the page and hit the buy button.

    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.

    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.

    Ross I.S. Zbar spent his career as a plastic surgeon, in the US as well as abroad in developing countries, mending disease- and trauma-related deformities--and he was never hesitant to make his voice heard as an advocate for better patient care.Then, on a warm December day in 2018, Ross suffered a trauma that nearly took his life, putting him into the hands of his profession in a way he never anticipated. While his life was ultimately saved, his journey to wellness within the conventional medical establishment--from three weeks in the ICU to in-patient rehab--was nothing short of nightmarish. Frequently sedated and physically restrained, he was inundated with mental, emotional, and sensory evidence of an industry gone haywire, experiencing clearly from the patient side what he had only touched on as an advocate.Vowing to be an even stronger voice for change, Ross used the power of his mind to recover faster than any of his doctors predicted. Floating Feathers not only recounts his compelling story but elucidates a thoughtful and authoritative critical call to the members of his beloved profession for a massive overhaul."We possess the technology and the brilliant minds to motivate this level of sweeping change so desperately required," he says. "We simply need to champion it as a non-negotiable priority."This profoundly personal yet overarchingly relative book endeavors to be a vital first step toward that goal.

    

    Written in a style that is simple and engaging, it explores the history of Buddhism, its philosophies, and its relevance in today’s society. The book provides numerous meditative exercises that will allow you to experience the wondrous teachings of this ancient wisdom. Inside you will read about... ✓ A Brief History of Buddhism ✓ The Spread of Buddhism ✓ The Servant or the Master: Which One are You? ✓ Self-Identification with the Mind and Body ✓ Meditation ✓ The Presence of Mindfulness ✓ The Principle of Karma ✓ Dualistic versus Non-Dualistic Perspectives ✓ The Principle of Non-Substantiality ✓ One’s Life and the Environment ✓ Sentient and Non-Sentient Beings ✓ Attachment ✓ The Ten Worlds The author explains how Buddhism is more than a religion; it’s an internal science. Rather than relying on dogma or sacred texts, Buddhism teaches us to look inward and challenge our most deep-seated beliefs for the purpose liberating ourselves from our minds.

    We cannot choose to avoid philosophy, we can only choose whether we understand it or not. Stefan Molyneux, host of Freedomain Radio – the largest and most popular philosophy show in the world, with over 600 million views and downloads – takes you on a spectacular journey through the most foundational philosophical questions of the ages, clearing up and clarifying the most thorny problems posed by philosophers throughout history: -How do we know what is real? -How do we know what is true? -How do we know what is right? -How do we know what is good? -How do we know we even have a choice? -How do we convince others? These are all questions that we – as individuals and societies – wrestle with every day. These questions have challenged, motivated and plagued mankind for thousands of years. “Essential Philosophy” answers these questions with rigourous, illuminating and entertaining logic, reasoning from deep first principles to spectacular final conclusions. There is no need for confusion, there is no need for despair, there is no need for fear – pick up this book now, absorb the true power of philosophy, and live a rational moral life to the fullest. And then, give “Essential Philosophy” to others, so that the world may one day live in reason and peace.