Publisher: BookRix
In this book, exercises are carried out regarding the following mathematical topics: infinitesimals and infinities limits and forms of indeterminacy continuous functions and points of discontinuity Initial theoretical hints are also presented to make the performance of the exercises understandable.
A revolutionary new account of our universe’s creation—and a breathtaking exploration of the landscape from which we sprang—from one of the world’s most celebrated cosmologists What came before the Big Bang, and what exists outside of the universe it created? Until recently, scientists could only guess at what lay past the edge of space-time. However, as pioneering theoretical physicist Laura Mersini-Houghton explains, new scientific tools are now giving us the ability to peer beyond the limits of our universe and to test our theories about what is there. And what we are finding is upending everything we thought we knew about the cosmos and our place in it. Mersini-Houghton is no stranger to boundaries—or to pushing through them. As a child growing up in Communist Albania, she discovered a universe beyond her walled-off world through the study of math and science, and through music. As a female cosmologist in a male-dominated field, she transcended the limits that society and her profession tried to place on her. And as a trailblazing researcher, she helped to revolutionize the study of our universe by revealing that, far from living in a cosmic Albania, with a world that ends at its borders, we are part of a larger family of universes—a multiverse—that holds wonders we are only beginning to unlock. Mersini-Houghton’s groundbreaking research suggests that we sit in a quantum landscape whose peaks and valleys hide a multitude of other universes, and even hold the secret to the origins of existence itself. Recent evidence has revealed the signatures of such sibling universes in our own night sky, confirming Mersini-Houghton’s theoretical work and offering humbling evidence that our universe is just one member of an unending cosmic family. The incredible scientific saga of one woman’s mind-expanding journey through the multiverse, Before the Big Bang will reshape our understanding of humanity’s place in the unfathomable vastness of the cosmos. Supplemental enhancement PDF accompanies the audiobook.Show book
Although consciousness is at the very center of who we are, its exact nature continues to confound modern science. From where does consciousness originate? At our core, are we material bodies or immaterial conscious minds? Many assume that consciousness is a product of our complex brains, a product of evolution—and yet, there is no evolutionary reason that a mechanical function of the brain should allow us to enjoy the beauty of a sunrise or become intoxicated with the smell of rain on dry earth. If consciousness is not the product of sophisticated human brains, might the nonhuman living world be conscious? If so, where does that place us in relation to the rest of life on Earth—and what does this imply about our domination and plundering of the natural world for resources? Dr. James Cooke is no stranger to intricate and existential questions such as these, and he confronts them head-on in his compelling, inventive, revolutionary new book, The Dawn of Mind: How Matter Became Conscious and Alive. Weaving together cutting-edge science and the contemplative insights that arise from mystical experience, as occurs with meditation and the emerging therapeutic paradigm of psychedelic medicine, Cooke radically redraws our understanding of what it truly means to be who we are.Show book
From bestselling author, long-time former National Geographic Explorer, and anthropologist Wade Davis comes the story of America's Nile: how it once flowed freely and how human intervention has left it near exhaustion, altering the water temperature, volume, local species, and shoreline of the river Theodore Roosevelt once urged us to "leave it as it is." Plugged by no fewer than twenty-five dams, the Colorado is the world's most regulated river drainage, providing most of the water supply of Las Vegas, Tucson, and San Diego, and much of the power and water of Los Angeles and Phoenix, cities that are home to more than 25 million people. For the entire American Southwest, the Colorado is indeed the river of life, which makes it all the more tragic and ironic that by the time it approaches its final destination, it has been reduced to a shadow upon the sand, its delta dry and deserted, its flow a toxic trickle seeping into the sea. Yet despite more than a century of human interference, Davis writes, the splendor of the Colorado lives on in the river's remaining wild rapids, quiet pools, and sweeping canyons. The story of the Colorado River is the human quest for progress and its inevitable effects—and an opportunity to learn from past mistakes and foster the rebirth of America's most iconic waterway.Show book
Uncover the LinkedIn strategies that top professionals, entrepreneurs, and job seekers are using to achieve extraordinary success. Take your LinkedIn presence from ordinary to extraordinary with Al Kushner's groundbreaking audiobook, The AI LinkedIn Advantage, and harness the full potential of artificial intelligence to stay ahead of the competition. Inside, you’ll learn how to master your personal brand, craft magnetic content, and connect with the right people—all with the help of cutting-edge AI tools. With Al Kushner's proven expertise and actionable insights, you’ll gain the confidence to stand out in a crowded professional landscape. Packed with real-world examples, step-by-step guidance, and insider tips, this audiobook equips you with everything you need to transform your LinkedIn strategy and unlock a world of new opportunities. Engage, innovate, and excel with AI-driven solutions that will amplify your voice on the world’s most powerful professional network. Whether you’re seeking to grow your career, expand your network, or build your business brand, The AI LinkedIn Advantage is your key to LinkedIn mastery. Are you ready to dominate?Show book
No self-respecting Queens Park Rangers fan should be without this, the ultimate travel companion to QPR s away day fixtures. With over 40 years of following his beloved QPR up and down the country, Simon Ingram has created the ultimate fan s-eye history of the club. Designed to be read by supporters on their way to their next match, QPR Away Day Travels includes several quizzes, classic photos and an extensive list of the team s most memorable games both good and bad. Written with humour and a positive outlook for the club he adores, QPR Away Day Travels will delight any follower of the Super Hoops, young or old.Show book
Urbanization has been one of the most significant trends of the 21st century, with more than half of the world's population now living in cities. As global populations continue to grow, an increasing number of people are flocking to urban areas, resulting in the development of some of the most densely populated cities on Earth. These megacities, home to millions of individuals, represent both the wonders and the challenges of modern life. The intensity of life in such crowded spaces shapes the experiences of those who live there, from the social fabric to the environment. This book explores the experiences of individuals living in the most crowded urban centers, where the pressure of population density influences every aspect of daily life. It aims to examine how these cities manage their growth, deal with the challenges of overcrowding, and provide a glimpse into the lives of those navigating these spaces. The urban centers featured in this book are marked not only by their size but also by the vibrancy and diversity they house. Yet, despite the potential for economic growth and cultural exchange, these cities face significant struggles related to infrastructure, health, safety, and quality of life. The history of urban density is also a fascinating tale of human resilience and innovation. From the early days of civilization to the present, cities have been shaped by their environments, political systems, and technological advancements. As cities grow ever more populous, the boundaries of what can be managed are constantly tested, leading to new solutions, as well as failures. The story of overcrowding is not just one of increasing numbers but also of the social, economic, and environmental impacts that come with it.Show book
