But, Alex Bellos says, "math can be inspiring and brilliantly creative. Mathematical thought is one of the great achievements of the human race, and arguably the foundation of all human progress. The world of mathematics is a remarkable place."Bellos has traveled all around the globe and has plunged into history to uncover fascinating stories of mathematical achievement, from the breakthroughs of Euclid, the greatest mathematician of all time, to the creations of the Zen master of origami, one of the hottest areas of mathematical work today. Taking us into the wilds of the Amazon, he tells the story of a tribe there who can count only to five and reports on the latest findings about the math instinct--including the revelation that ants can actually count how many steps they've taken. Journeying to the Bay of Bengal, he interviews a Hindu sage about the brilliant mathematical insights of the Buddha, while in Japan he visits the godfather of Sudoku and introduces the brainteasing delights of mathematical games.Exploring the mysteries of randomness, he explains why it is impossible for our iPods to truly randomly select songs. In probing the many intrigues of that most beloved of numbers, pi, he visits with two brothers so obsessed with the elusive number that they built a supercomputer in their Manhattan apartment to study it. Throughout, the journey is enhanced with a wealth of intriguing illustrations, such as of the clever puzzles known as tangrams and the crochet creation of an American math professor who suddenly realized one day that she could knit a representation of higher dimensional space that no one had been able to visualize. Whether writing about how algebra solved Swedish traffic problems, visiting the Mental Calculation World Cup to disclose the secrets of lightning calculation, or exploring the links between pineapples and beautiful teeth, Bellos is a wonderfully engaging guide who never fails to delight even as he edifies. "Here's Looking at Euclid "is a rare gem that brings the beauty of math to life.

    You proceed at your own rate and any difficulties you may encounter are resolved before you move on to the next topic. With a step-by-step programmed approach that is complemented by hundreds of worked examples and exercises, Advanced Engineering Mathematics is ideal as an on-the-job reference for professionals or as a self-study guide for students.Uses a unique technique-oriented approach that takes the reader through each topic step-by-step.Features a wealth of worked examples and progressively more challenging exercises.Contains Test Exercises, Learning Outcomes, Further Problems, and Can You? Checklists to guide and enhance learning and comprehension.Expanded coverage includes new chapters on Z Transforms, Fourier Transforms, Numerical Solutions of Partial Differential Equations, and more Complex Numbers.Includes a new chapter, Introduction to Invariant Linear Systems, and new material on difference equations integrated into the Z transforms chapter.

    Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas in writing to explain how they conceive problems, what conjectures they make, and what conclusions they reach. Applying specific techniques and strategies, readers will acquire a solid understanding of the fundamental concepts and ideas of number theory.

    The first chapter describes basic features of the program and shows how to use it in simple arithmetic operations with scalars. The next two chapters focus on the topic of arrays (the basis of MATLAB), while the remaining text covers a wide range of other applications. Computer screens, tutorials, samples, and homework questions in math, science, and engineering, provide the student with the practical hands-on experience needed for total proficiency.

    The author has made this edition more accessible to better meet the needs of today's undergraduate mathematics and philosophy students. It is intended for the reader who has not studied logic previously, but who has some experience in mathematical reasoning. Material is presented on computer science issues such as computational complexity and database queries, with additional coverage of introductory material such as sets.

    Describes how fractals were discovered, explains their unique properties, and discusses the mathematical foundation of fractals.

    For even as she sets out to determine how big “really big” may be, Levin gives us an intimate look at the day-to-day life of a globe-trotting physicist, complete with jet lag and romantic disturbances.Nimbly synthesizing geometry, topology, chaos and string theories, Levin shows how the pattern of hot and cold spots left over from the big bang may one day reveal the size and shape of the cosmos. She does so with such originality, lucidity—and even poetry—that How the Universe Got Its Spots becomes a thrilling and deeply personal communication between a scientist and the lay reader.

    "Deck the Halls" (first published in 2000) was the mother-daughter duo's first collaborative effort, a brilliant story of high-stakes intrigue and detection played out against a holiday setting. Christmas is only three days away when Regan Reilly, the dynamic young sleuth featured in the novels of Carol Higgins Clark, accidentally meets Alvirah Meehan, Mary Higgins Clark's sharp-witted lottery winner turned amateur sleuth, at a New Jersey dentist's office. When a call comes through on Regan's cell phone notifying her that her father and his driver, Rosita Gonzalez, are being held for $1,000,000 ransom, Alvirah insists that Regan allow her to lend a hand in gaining their release. Complicating the situation is the fact that Regan's mother, the famous mystery writer Nora Regan Reilly, has just been hospitalized with a broken leg, and a brutal winter storm is bearing down on them all. Regan must comfort her mother while trying to meet the harsh demands of her father's kidnappers, who are not just rank amateurs but also laughably inept -- making them all the more dangerous and unpredictable.In "The Christmas Thief" (2004), Alvirah and Regan team up again to investigate another kind of kidnapping. When an eighty-foot blue spruce is chosen to spend the holidays as Rockefeller Center's famous Christmas tree, the folks who picked the tree have no idea that attached to one of its branches is a flask chock-full of priceless diamonds that Packy Noonan, a scam artist just released from prison, had hidden there over twelve years ago. When an excited Packy breaks his parole and heads to Stowe, Vermont, to reclaim his loot, he discovers that his special tree will be heading to New York City the next morning, so he and his bumbling crew have to act fast. Meanwhile Alvirah Meehan and Regan Reilly happen to be on a weekend trip to Stowe with their families when they learn that the tree -- and Alvirah's friend Opal, who won the lottery, but lost all her winnings in Packy's scam -- has gone missing.With two novels filled with twists and turns, intrigue and danger, as well as a hearty dose of good cheer, Mary Higgins Clark and Carol Higgins Clark offer stories that are as breathlessly suspenseful as they are heartwarming -- Christmas classics for many holiday seasons to come.

    A child prodigy, Pascal made essential additions to Descartes's work at age sixteen. By age nineteen, he had invented the world's first mechanical calculator. But despite his immense contributions to modern science and mathematical thinking, it is Pascal's wager with God that set him apart from his peers as a man fully engaged with both religious and scientific pursuits.One night in 1654, Pascal had a visit from God, a mystical experience that changed his life. Struggling to explain God's existence to others, Pascal dared to apply his mathematical work to religious faith, playing dice with divinity: he argued for the existence of God, basing his position not on rigorous logical principles as did Aquinas or Anselm of Canterbury, but on outcomes—his famous wager. By applying to the existence of God the same rules that governed the existence and position of the universe itself, Pascal sounded the death knell for medieval "certainties" and paved the way for modern thinking.

    The Preface to Hegel's first major work, the Phenomenology of Spirit, lays the groundwork for all his other writing by explaining what is most innovative about Hegel's philosophy.This new translation combines readability with maximum precision, breaking Hegel's long sentences and simplifying their often complex structure. At the same time, it is more faithful to the original than any previous translation.The heart of the book is the detailed commentary, supported by an introductory essay. Together they offer a lucid and elegant explanation of the text and elucidate difficult issues in Hegel, making his claims and intentions intelligible to the beginner while offering interesting and original insights to the scholar and advanced student. The commentary often goes beyond the particular phrase in the text to provide systematic context and explain related topics in Hegel and his predecessors (including Kant, Spinoza, and Aristotle, as well as Fichte, Schelling, Holderlin, and others).The commentator refrains from playing down (as many interpreters do today) those aspects of Hegel's thought that are less acceptable in our time, and abstains from mixing his own philosophical preferences with his reading of Hegel's text. His approach is faithful to the historical Hegel while reconstructing Hegel's ideas within their own context."

    In the West, many have learned of its pleasures, especially after the game appeared in a number of hit movies, TV series, and books, and was included on major Internet game sites. By eliciting the highest powers of rational thought, the game draws players, not just for the thrills of competition, but because they feel it enhances their mental, artistic, and even spiritual lives.Go! More Than a Game uses the most modern methods of teaching, so that, in a few minutes, anyone can understand the two basic rules that generate the game. The object of Go is surrounding territory, but the problem is that while you are doing this, the opponent may be surrounding you! In a series of exciting teaching games, you will watch as Go's beautiful complexities begin to unfold in intertwining patterns of black and white stones. These games progress from small 9x9 boards to 13x13 and then to the traditional 19x19 size.Go! More Than a Game has been completely revised by the author based on new data about the history of early go and the Confucians who wrote about it. This popular book includes updated information such as the impact of computer versions on the game, the mysterious new developments of Go combininatroics, advances in Combinatorial Game Theory and a look at the current international professional playing scene.

    This box set is almost 1,200 pages in print. About The Atlantis Trilogy Since the publication of the first volume in March of 2013, the Atlantis trilogy has become a global phenomenon, selling over three million copies worldwide in twenty-three languages. Together, the three books have received 26,000 reviews on Amazon and well over 100,000 ratings on GoodReads. The series has been optioned for film, and the first book in the trilogy, The Atlantis Gene, made the list of the most sold books of the year on Amazon an unprecedented five years in a row (2013, 2014, 2015, 2016, and 2017). The Trilogy Boxset contains: The Atlantis Gene (The Origin Mystery #1) The Greatest Mystery Of All Time…The History Of Human Origins…Will Be Revealed.... 70,000 years ago, the human race almost went extinct!We survived, but no one knows how?Until now...The countdown to the next stage of human evolution is about to begin, and humanity may not survive this time... The Immari are good at keeping secrets. For 2,000 years, they have hidden the truth about human evolution. And they’ve searched for an ancient enemy - a threat that could wipe out the human race. Now the search is over. Off the coast of Antarctica, a research vessel has discovered a mysterious structure buried deep in an iceberg. It’s been there for thousands of years, and it isn’t man made. The Immari think they know what it is, but they aren’t taking any chances. The time has come to execute their master plan: humanity must evolve or perish. In a lab in Indonesia, a brilliant geneticist may have just discovered the key to their plan. Four years ago, Dr. Kate Warner left California for Jakarta, Indonesia to escape her past. She hasn’t recovered from what happened to her, but she has made an incredible discovery: a cure for autism. Or so she thinks. What she’s found is actually far more dangerous. Her research could rewrite human history and unleash the next stage of human evolution. In the hands of the Immari, it would mean the end of humanity as we know it. One man has seen pieces of the Immari conspiracy: Agent David Vale. But he’s out of time to stop it. His informant is dead. His organization has been infiltrated. His enemy is hunting him. But when he receives a cryptic code from an anonymous source, he risks everything to save the only person that can solve it: Dr. Kate Warner. Now Kate and David must race to unravel a global conspiracy and learn the truth about the Atlantis Gene… and human origins. Their journey takes them to the far corners of the globe and into the secrets of their pasts. The Immari are close on their heels and will stop at nothing to find the Atlantis Gene and force the next stage of human evolution - even if it means killing 99.9% of the world’s population. David and Kate can stop them… if they can trust each other. And stay alive. The Atlantis Plague (The Origin Mystery #2) A Pandemic 70,000 Years In The Making...Will Change Humanity...Forever! In Marbella, Spain, Dr. Kate Warner awakens to a horrifying reality: the human race stands on the brink of extinction. A pandemic unlike any before it has swept the globe. Nearly a billion people are dead - and those the Atlantis Plague doesn't kill, it transforms at the genetic level. A few rapidly evolve. The remainder devolve. As the world slips into chaos, radical solutions emerge. Industrialized nations offer a miracle drug, Orchid, which they mass produce and distribute to refugee camps around the world. However, Orchid is merely a way to buy time. It treats the symptoms of the plague but never actually cures the disease. Immari International offers a different approach: do nothing. Let the plague run its course. The Immari envision a world populated by the genetically superior survivors - a new human race, ready to fulfil its destiny. With control of the world population hanging in the balance, the Orchid Alliance and the Immari descend into open warfare. Now humanity's last hope is to find a cure, and Kate alone holds the key to unravelling the mystery surrounding the Atlantis Plague. The answer may lie in understanding pivotal events in human history - events when the human genome mysteriously changed. Kate's journey takes her across the barren wastelands of Europe and northern Africa, but it's her research into the past that takes her where she never expected to go. She soon discovers that the history of human evolution is not what it seems - and setting it right may require a sacrifice she never imagined. The Atlantis World (The Origin Mystery #3) With Humanity's Back Against The Wall...A Signal From Space Could Be The Key To Saving The Human Race...As The Clock Ticks Down, A Team Of Scientists Will Risk It All To Unravel The Secrets Of The Atlantis World... Northern Morocco: Dr. Kate Warner cured a global pandemic, and she thought she could cure herself. She was wrong. And she was wrong about the scope of the Atlantis conspiracy. Humanity faces a new threat, an enemy beyond imagination. With her own time running out and the utter collapse of human civilization looming, a new hope arrives: a signal from a potential ally. Arecibo Observatory: Mary Caldwell has spent her life waiting, watching the stars, looking for signs of intelligent life beyond our world. When that day comes, Mary finds herself in the middle of a struggle older than the human race, with far greater stakes. She must decide who to trust, because there's nowhere to hide. Antarctica: In the wake of the Atlantis Plague, Dorian Sloane finds himself a puppet to Ares' mysterious agenda. As Dorian prepares to take control of the situation, Ares unleashes a cataclysm that changes everything. As the catastrophe circles the globe, Ares reveals the true nature of the threat to humanity, and Dorian agrees to one last mission: find and kill David Vale and Kate Warner. There will be no prisoners this time. The orders are seek and destroy, and Dorian has been promised that his own answers and salvation lie on the other side. With Dorian in pursuit, Kate, David, and their team race through the ruins of the Atlantean ship left on Earth, across Atlantean science stations throughout the galaxy, and into the past of a mysterious culture whose secrets could save humanity in its darkest hour. With their own lives on the line and time slipping away, Kate, David and Dorian are put to the ultimate test.

    Students know that Schaum's delivers the goods—in faster learning curves,better test scores,and higher grades!If you don't have a lot of time but want to excel in class,this book helps you: Brush up before tests; Find answers fast; Study quickly and more effectively; Get the big picture without spending hours poring over dull texts Schaum's Outlines give you the information teachers expect you to know in a handy and succinct format—without overwhelming you with unnecessary details. You get a complete overview of the subject—and no distracting minutiae. Plus,you get plenty of practice exercises to test your skill. Compatible with any classroom text,Schaum's lets you study at your own pace and reminds you of all the important facts you need to remember—fast! And Schaum's is so complete it's the perfect tool for preparing for graduate or professional exams! Students of mathematical economics apply complex formulas—a challenging task that even the best students find daunting. But this Schaum's guide demystifies tough problems and gives you plenty of fully worked examples! Chapters include: Review. Economic Applications of Graphs and Equations. The Derivative and the Rules of Differentiation. Uses of the Derivative in Mathematics and Economics. Calculus of Multivariable Functions. Calculus of Multivariable Functions in Economics. Exponential and LogarithmicFunctions. Exponential and Logarithmic Functions in Economics. Differentiation of Exponential and Logarithmic Functions. The Fundamentals of Linear (or Matrix) Algebra. Matrix Inversion. Special Determinants and Matrices and Their Use in Economics. Linear Programming: A Graphic Approach. Linear Programming: The Simplex Algorithm. Linear Programming: The Dual. Integral Calculus: The Indefinite Integral. Integral Calculus: The Definite Integral. Differential Equations. Difference Equations. Second-Order Differential Equations and Difference Equations. The Calculus of Variations

    

    In this unconventional introduction, physicist Leonard Susskind and hacker-scientist George Hrabovsky offer a first course in physics and associated math for the ardent amateur. Unlike most popular physics books—which give readers a taste of what physicists know but shy away from equations or math—Susskind and Hrabovsky actually teach the skills you need to do physics, beginning with classical mechanics, yourself. Based on Susskind's enormously popular Stanford University-based (and YouTube-featured) continuing-education course, the authors cover the minimum—the theoretical minimum of the title—that readers need to master to study more advanced topics.An alternative to the conventional go-to-college method, The Theoretical Minimum provides a tool kit for amateur scientists to learn physics at their own pace.