In this fascinating book, Mario Livio tells the tale of a number at the heart of that mystery: phi, or 1.6180339887...This curious mathematical relationship, widely known as "The Golden Ratio," was discovered by Euclid more than two thousand years ago because of its crucial role in the construction of the pentagram, to which magical properties had been attributed. Since then it has shown a propensity to appear in the most astonishing variety of places, from mollusk shells, sunflower florets, and rose petals to the shape of the galaxy. Psychological studies have investigated whether the Golden Ratio is the most aesthetically pleasing proportion extant, and it has been asserted that the creators of the Pyramids and the Parthenon employed it. It is believed to feature in works of art from Leonardo da Vinci's Mona Lisa to Salvador Dali's The Sacrament of the Last Supper, and poets and composers have used it in their works. It has even been found to be connected to the behavior of the stock market!The Golden Ratio is a captivating journey through art and architecture, botany and biology, physics and mathematics. It tells the human story of numerous phi-fixated individuals, including the followers of Pythagoras who believed that this proportion revealed the hand of God; astronomer Johannes Kepler, who saw phi as the greatest treasure of geometry; such Renaissance thinkers as mathematician Leonardo Fibonacci of Pisa; and such masters of the modern world as Goethe, Cezanne, Bartok, and physicist Roger Penrose. Wherever his quest for the meaning of phi takes him, Mario Livio reveals the world as a place where order, beauty, and eternal mystery will always coexist.From the Hardcover edition.

    Theoretical, yet applied. Statistics for Business and Economics, Eleventh Edition, gives you the best of both worlds. Using a rich array of applications from a variety of industries, McClave/Sincich/Benson clearly demonstrates how to use statistics effectively in a business environment.The book focuses on developing statistical thinking so the reader can better assess the credibility and value of inferences made from data. As consumers and future producers of statistical inferences, readers are introduced to a wide variety of data collection and analysis techniques to help them evaluate data and make informed business decisions. As with previous editions, this revision offers an abundance of applications with many new and updated exercises that draw on real business situations and recent economic events. The authors assume a background of basic algebra.

    Children’s thinking capabilities would be increased because of the smart answers of the Minister Birbal.Each of the 50 stories contains a moral , a logic to think. Exchanges by Akbar and Birbal have become part of Indian folk tradition. These tales are also an integral part of Indian culture. Akbar and Birbal are extremely popular even in the modern age. This book is a compiled version of 50 good stories,illustrated with images as well. 50 Chapters are - A. AKBAR AND BIRBAL INTRODUCTION B. HOW AKBAR MET BIRBAL C. HOW MAHESH DAS BECAME BIRBAL 01. ANSWER FOR QUESTION IS A QUESTION 02. WHO IS A DONKEY? 03. WHY IS THE CAMEL’S NECK CROOKED? 04. BIRBAL’S VISIT TO HEAVEN 05. BIRBAL CAUGHT THE THIEF 06.I AM YOUR SERVANT, MY LORD 07. HOW MANY CROWS IN THE KINGDOM? 08. BIRBAL SOLVES THE PROBLEM 09. FLOWERS FOR AKBAR 10. BIRBAL’S SWEET REPLY 11. BIRBAL IDENTIFIES THE GUEST 12. TIT-BITS (BETWEEN AKBAR AND BIRBAL) 13. A LITTLE LESSER AND LITTLE MORE 14. BIRBAL’S BEAUTIFUL EXPLANATION 15.THE NOBLEST BEGGAR 16.FAST HORSE 17.THE LOYAL GARDENER 18. BIRBAL BETRAYS HIMSELF 19.RED HOT TEST 20.FOUR FOOLS 21.MILK OF AN OX 22.JUST ONE QUESTION 23.THE PARROT NEITHER EATS, NOR DRINKS 24.NEITHER HERE, NOR THERE 25. BIRBAL’S HELP TO ASTROLOGER 26.HEAVY BURDEN 27. BIRBAL PASSES THE TEST 28.THE MAGICAL DONKEY 29.PICKLED CLUE 30.HUNTING AND THE DOWRY 31. BIRBAL AND AKBAR’S RING 32.AKBAR’S DREAM 33. BIRBAL HELPS A PUNDIT 34. BIRBAL’S KHICHADEE 35.THE POET RAAYADAAS 36.THE THREE QUESTIONS 37.FEAR IS THE KEY 38.PROTECTION OF THE FOOT-MARK OF AN ELEPHANT 39. BIRBAL, THE PROBLEM SOLVER 40.WHO IS THE REAL KING? 41.WHO IS FOOLED? 42. BIRBAL, THE CHILD 43. BIRBAL’S LIST OF BLINDS 44.THE BLIND SAINT. REALLY, IS HE? 45.THE SHARP SHIELD & SWORD 46.THE LOST RING 47.WHO IS THE REAL MOTHER? 48.A MERCHANT AND THE STOLEN TREASURE 49. BIRBAL STRIKES AGAIN 50. THE LINGUIST’S CHALLENGE CHAPTER - 05 BIRBAL CAUGHT THE THIEF It so happened once that once a rich merchant's house was robbed. The merchant suspected that the thief was one of his servants. He tried to find out the thief was on his own, but failed. So he went to Birbal and explained the whole incident in detail. Birbal went to his house and assembled all of his servants in the front hall and asked that who stole the merchant's things. Everybody denied. Birbal thought for a moment, then gave a stick of equal length to all the servants of the merchant and said to them that “The stick of the real thief will be long by two inches tomorrow”. All the servants should be present here again tomorrow with their sticks. All the servants went to their homes and gathered again at the same place the next day. Birbal asked them to show him their sticks. One of the servants had his stick shorter by two inches. Birbal said, "This is your thief, merchant.

    After spending several months in New York City, the family signed up for a journey to the Republic of Texas where they could homestead and eventually acquire 137 free acres for their efforts. Soon growing discontented with, not only the land, but also the management of the colony in which they had settled, the Horns decided to return to England. But, it was not to be. Attacked and captured by a party of Comanche Indians, Sarah Ann was faced with challenges and realities the like of which she never could have dreamed. Over a period of fifteen months of Comanche captivity, she and her captors rode endlessly across the Texas plains until finally she was purchased out of bondage and befriended by traders in New Mexico. This is the true story of a remarkable woman who endured an unimaginable amount of suffering and pain in her short lifetime.

    In each manavantara Brahma creates seven exceptional sages from his mind, who represent supreme knowledge and righteousness. It is their duty to see that law and order is maintained in the Universe. We live in the Vaivasvata Manavantara. Amar Chitra Katha has captured stories from the inspiring and remarkable lives of the seven sages chosen to represent the current manavantara. Atri was known for his honesty and for his devotion. He was married to Anasuya who was a very pious woman and capable of great deeds. Atri's life spanned many yugas. He played a role in the events of the Ramayana as well as the Mahabharata. Vasishtha was the voice of wisdom and honesty. He was the kulguru to the Solar Dynasty and tutored Rama and his brothers. Kashyapa is considered the father of all living beings. Brahma gave him the task of creating life for swargaloka, bhooloka and patal-loka.The origin of all creatures can be traced back to Kashyapa and his wives. The proud King Kaushika had a troubled relationship with Sage Vasishtha. He wanted to become a Brahmarshi just like him. The story tells of his transformation into the accomplished sage, Vishwamitra. Gautama and his wife, Ahalya, overcame the mistrust and insults of the people of Brahmagiri and brought Ganga to the parched land. Jamadagni, who was a proficient student of the Vedas, was chosen by Vishnu to be his father during his avatar as Parashurama. Bharadwaja's thirst for knowledge was so great that he prayed to Indra for a long life so he had enough time to learn. With Indra's blessing he spread the knowledge he had learnt, around the world. The seven sages are said to reside in the heavens as stars of the Saptarshi Mandal.

     Jordan Wylie, a young man from a tough area of Blackpool where kids like him often went off the rails, chose a life in the army. He saw service in Iraq and learned to cope with the horrors he'd witnessed, then suffered an injury that blocked any chance of climbing up the military ladder. But an old army colleague suggested he join a security team on a tanker in Yemen. Ex-servicemen were offered dazzling salaries and `James Bond' lifestyles between jobs protecting the super-tankers carrying consumer goods to Europe and the US. However, for the men tempted to go, the price they paid was the claustrophobia and isolation of life on board and the ever-present possibility of death skimming towards them across the vast, lonely blue sea. Jordan was one of these men. In Citadel, he writes the first account of these dangerous years from someone 'at the front'. A young soldier from the backstreets of Blackpool, he was determined to make the most of his life, but unsure of the way forward. To his surprise, he found his answers in the perilous waters of 'Pirate Alley'.

    He became a Texas Ranger, and fought as an American in the Mexican-American War, and roamed the Southwest with other mountain men such as Kit Carson. He belongs to that class of pioneers and trappers, now extinct, of which the famed Kit Carson, who was for many years the companion of the author, has been considered the most perfect type. In addition to his experiences as a hunter and trapper, we have an account of his life as a prisoner among the powerful and warlike Comanches, his adventures as a trader in Mexico, his services as interpreter and guide, under Doniphan, in our war with Mexico, and with the Liberals in the Franco-Mexican war as Captain of artillery, as well as his experience in mining in the days of the “ forty-niners” in California, and elsewhere. Probably no man then living passed through so varied and exciting a life as this one. Hobbs writes: "I was nearly full grown when I found an excellent chance to join a fur company that had just started out from St. Louis, under the lead of Charles Bent, and were going out to a fort and trading-post called Bent’s Fort, some three hundred miles south of Pike’s Peak on Big Arkansas river. The party consisted of about sixty men. The more prominent hunters were Charles Bent, Guesso Chauteau, William Savery, and two noted Indian trappers named Shawnee Spiebuck, and Shawnee Jake." On this expedition, he was captured by the Camanches, with whom he spent four years, marrying the daughter of "Old Wolf". Four years later, was ransomed by Charles Bent, who paid Old Wolf when the Indians had come to trade at Bent's Fort. It was during this time at Bent's Fort that Hobbs went out trapping with Kit Carson, and he became his lifelong friend. Hobbs became one the most famous mountain men, trappers, and fighter, partly due to his years of training in the ways of the wilderness with the Comanche. Hobbs writes: "IN the foregoing pages I have endeavored to give an account of a portion of my adventures in a life of more than usual peril and excitement. I was induced to publish this account by the earnest recommendation of many friends. It has been written out, as I have had time, entirely from memory, as I never kept a diary of events, never thinking that I should publish my experiences. For this reason, I have been unable to give exact dates in all cases; but as the object I had in view, was not to publish a history of the country where I have been, but to relate personal adventures, this will not prove, I hope, any drawback to the interest of the reader. As far as the narrative relates to my transactions, I have confined myself to the literal facts. "In looking back over my life, I find that although I have not, perhaps, always obeyed the Golden Rule, yet it is a great satisfaction to me to think of the numbers of my fellow beings I have been instrumental in saving from death and misery at the hands of savages, and from the horrors of starvation. "And now, that my labors in this direction are completed, I shall probably retire to my California home, and devote myself to stock raising. Hoping that this narrative may prove of interest to the reader, I will say -—GOOD-BYE." Originally published in 1872; reformatted for the Kindle; may contain an occasional imperfection; original spellings have been kept in place.

    We all are connected. Are you a dreamer? Do you dream to be a successful person? Do you know sometimes the pursuit of monetary success could take you away from you? Have you felt the pain of separation from your loved ones? Have you felt lost some point in your life? This is a story about two people who lose the real treasures of their life in the pursuit of materialistic success and gratification. Gautam changes his life by following his dreams. But along the way, his life transforms into a living nightmare that he resolves to finish. Diksha is a young, brilliant, and headstrong person. Her dedication to be a perfect and sincere daughter, student, and employee turns her into an automaton. When both of them lose their last hope, something inexplicable happens in their life, which eventually sets them on the path of Sanyas. Can you give up your vain success to build an ever-lasting peace and tranquility within you? Can you stand tall and fight back your fears? Can you be a Sanyasi? Gear up to experience a mystical adventure! It’s a story about dreams, relationships, betrayal, courage, separation, and repentance. About the Author: Khemlata Negi is a novelist, poet, and educationist based in Chandigarh, India. Her first novel Hope: the journey to life was published in the year 2016. She has also written a collection of poetry Seasons of life and a book on yoga asana Stay Healthy. She loves reading, travelling, photography, yoga, and spending time in nature. She believes storytelling is one of the most effective methods to inspire and move the masses.

    “They are both brilliantly original and outsiders,” the narrator tells us. “They are both besotted with mathematics. But for all their devotion, mathematics is indifferent, unaltered by any of their dramas . . . Against indifference, I want to tell their stories.” Which she does in a haunting, incantatory voice, the two lives unfolding in parallel narratives that overlap in the magnitude of each man’s achievement and demise: Gödel, delusional and paranoid, would starve himself to death; Turing, arrested for homosexual activities, would be driven to suicide. And they meet as well in the narrator’s mind, where facts are interwoven with her desire and determination to find meaning in the maze of their stories: two men devoted to truth of the highest abstract nature, yet unable to grasp the mundane truths of their own lives.A unique amalgam of luminous imagination and richly evoked historic character and event—A Madman Dreams of Turing Machines is a story about the pursuit of truth and its effect on the lives of two men. A story of genius and madness, incredible yet true.

    The text begins with a discussion of the real number system as a complete ordered field. (Dedekind's construction is now treated in an appendix to Chapter I.) The topological background needed for the development of convergence, continuity, differentiation and integration is provided in Chapter 2. There is a new section on the gamma function, and many new and interesting exercises are included. This text is part of the Walter Rudin Student Series in Advanced Mathematics.

    - predicted the reappearance of a lost planet, - discovered basic properties of magnetic forces, - invented a surveying tool used by professionals until the invention of lasers. Based on extensive research of original and secondary sources, this historical narrative will inspire young readers and even curious adults with its touching story of personal achievement.

    Wilczek’s groundbreaking work in quantum physics was inspired by his intuition to look for a deeper order of beauty in nature. In fact, every major advance in his career came from this intuition: to assume that the universe embodies beautiful forms, forms whose hallmarks are symmetry—harmony, balance, proportion—and economy. There are other meanings of “beauty,” but this is the deep logic of the universe—and it is no accident that it is also at the heart of what we find aesthetically pleasing and inspiring.Wilczek is hardly alone among great scientists in charting his course using beauty as his compass. As he reveals in A Beautiful Question, this has been the heart of scientific pursuit from Pythagoras, the ancient Greek who was the first to argue that “all things are number,” to Galileo, Newton, Maxwell, Einstein, and into the deep waters of twentiethcentury physics. Though the ancients weren’t right about everything, their ardent belief in the music of the spheres has proved true down to the quantum level. Indeed, Wilczek explores just how intertwined our ideas about beauty and art are with our scientific understanding of the cosmos.Wilczek brings us right to the edge of knowledge today, where the core insights of even the craziest quantum ideas apply principles we all understand. The equations for atoms and light are almost literally the same equations that govern musical instruments and sound; the subatomic particles that are responsible for most of our mass are determined by simple geometric symmetries. The universe itself, suggests Wilczek, seems to want to embody beautiful and elegant forms. Perhaps this force is the pure elegance of numbers, perhaps the work of a higher being, or somewhere between. Either way, we don’t depart from the infinite and infinitesimal after all; we’re profoundly connected to them, and we connect them. When we find that our sense of beauty is realized in the physical world, we are discovering something about the world, but also something about ourselves.Gorgeously illustrated, A Beautiful Question is a mind-shifting book that braids the age-old quest for beauty and the age-old quest for truth into a thrilling synthesis. It is a dazzling and important work from one of our best thinkers, whose humor and infectious sense of wonder animate every page. Yes: The world is a work of art, and its deepest truths are ones we already feel, as if they were somehow written in our souls.

    Human beings have long been both fascinated and appalled by randomness. On the one hand, we love the thrill of a surprise party, the unpredictability of a budding romance, or the freedom of not knowing what tomorrow will bring. We are inexplicably delighted by strange coincidences and striking similarities. But we also hate uncertainty's dark side. From cancer to SARS, diseases strike with no apparent pattern. Terrorists attack, airplanes crash, bridges collapse, and we never know if we'll be that one in a million statistic. We are all constantly faced with situations and choices that involve randomness and uncertainty. A basic understanding of the rules of probability theory, applied to real-life circumstances, can help us to make sense of these situations, to avoid unnecessary fear, to seize the opportunities that randomness presents to us, and to actually enjoy the uncertainties we face. The reality is that when it comes to randomness, you can run, but you can't hide. So many aspects of our lives are governed by events that are simply not in our control. In this entertaining yet sophisticated look at the world of probabilities, author Jeffrey Rosenthal--an improbably talented math professor--explains the mechanics of randomness and teaches us how to develop an informed perspective on probability.

    There is one worksheet for each type of math problem including different digits with operations of addition, subtraction, multiplication and division. These varying level of mathematical ability activities help in improving adding, subtracting, multiplying and dividing operation skills of the student by frequent practicing of the worksheets provided.There is nothing more effective than a pencil and paper for practicing some math skills. These math worksheets are ideal for teachers, parents, students, and home schoolers. The companion ebook allows you to take print outs of these worksheets instantly or you can save them for later use. The learner can significantly improve math knowledge by developing a simple habit to daily practice the math drills.Tutors and homeschoolers use the maths worksheets to test and measure the child's mastery of basic math skills. These math drill sheets can save you precious planning time when homeschooling as you can use these work sheets to give extra practice of essential math skills. Parents use these mathematics worksheets for their kids homework practice too.Designed for after school study and self study, it is used by homeschooler, special needs and gifted kids to add to the learning experience in positive ways. You can also use the worksheets during the summer to get your children ready for the upcoming school term. It helps your child excel in school as well as in building good study habits. If a workbook or mathematic textbook is not allowing for much basic practise, these sheets give you the flexibility to follow the practice that your student needs for an education curriculum.These worksheets are not designed to be grade specific for students, rather depend on how much practice they've had at the skill in the past and how the curriculum in your school is organized. Kids work at their own level and their own pace through these activities. The learner can practice one worksheet a day, two worksheets a day, one every alternate day, one per week, two per week or can follow any consistent pattern. Make best use of your judgement.

    It provides a transition from elementary calculus to advanced courses in real and complex function theory and introduces the reader to some of the abstract thinking that pervades modern analysis.