Pure Mathematics 1 corresponds to unit P1. It covers quadratics, functions, coordinate geometry, circular measure, trigonometry, vectors, series, differentiation and integration.

    

    Can a computer think? Why is your consciousness like Bitcoin? Will there be an artificial intelligence apocalypse?

    a longing to find meaning to life ... a yearning to discover a sanctuary of serenity and peace ... a hunger to have your heart and soul touched by that Divine love that brings comfort to life ... a passionate desire to have a closer relationship with your creator, then the Tao Te Ching is for you. The Tao Te Ching provides an intuitive insight into the art of living an authentic life, and introduces you to the laws of nature on how to live in this world in peace and joy. With a knowing of the Tao Te Ching, you will see resistance and opposition fade away. Conflict and stress will become distant memories. The issues of life become irrelevant or will simply disappear once you start living your authentic self with the Tao. The Tao shows how to transcend all those insurmountable obstacles that the ego has created. The Tao contains the power to liberate you from the ego-imposed prison of the dualistic world. Living in the Tao can bring a deep inner peace and a reconnection to the divine source. The wisdom of the Tao is in a practical sense, a way to live life with the clarity of knowing the universal truth. The Tao is an ancient philosophy of living in the natural world. It shows the way of how to get back to being your Authentic Self, your Spiritual Self. The Tao has the power to help you reclaim your life from the temporal ego identity that is imprisoning you. With the Tao you can discover your Authentic Identity. You can get back to the being-ness and oneness of living in the Divine Consciousness by learning the truths of the Tao Te Ching. Through discovering these truths you can become the creators of your own universe instead of being the passive observer that you have been. You can learn to live a fuller life in the infinity of the moment verses living in the clutches of the Ego. The Tao can show you how to grow detached from the ego identity by becoming in direct contact with your true intent and motives that was meant for you. When you do, you begin to see yourself as you truly are. It is being authentic that you become reconnected to the divine source.The Tao Te Ching will show you how to develop a more rewarding spiritual experience and obtain a higher sense of awareness through connecting with the Divine Source, and help you realize that the Power is within you to achieve this. It makes no difference what your religious background or beliefs are, the teachings of the Tao Te Ching are universal and available to everyone. Following the way of the Tao Te Ching is a spiritual path to finding true joy and ecstasy.For those who wish to learn more, may I suggest my book, "The Way of the Tao, Living an Authentic Life" This book has several essays on the deeper meaning of the Tao including modern day examples to demostrate the timelessness of the Tao.

    That’s a mistake, Tim Harford says in The Data Detective. We shouldn’t be suspicious of statistics—we need to understand what they mean and how they can improve our lives: they are, at heart, human behavior seen through the prism of numbers and are often “the only way of grasping much of what is going on around us.” If we can toss aside our fears and learn to approach them clearly—understanding how our own preconceptions lead us astray—statistics can point to ways we can live better and work smarter.As “perhaps the best popular economics writer in the world” (New Statesman), Tim Harford is an expert at taking complicated ideas and untangling them for millions of readers. In The Data Detective, he uses new research in science and psychology to set out ten strategies for using statistics to erase our biases and replace them with new ideas that use virtues like patience, curiosity, and good sense to better understand ourselves and the world. As a result, The Data Detective is a big-idea book about statistics and human behavior that is fresh, unexpected, and insightful.

    In The Universe and the Teacup, K. C. Cole demystifies mathematics and shows us-with humor and wonderfully accessible stories-why math need not be frightening. Using the O. J. Simpson trial, the bell curve, and Emmy Noether, the nineteenth-century woman scientist whose work was essential for Einstein's theory of relativity, Cole helps us see that more than just being a tool, math is a key to understanding the beauty of everything from rainbows to relativity.

    Language is informal, examples are vivid and lively, and the perspectivie is fresh. Based on lectures delivered to engineering students, this work will also be valued by scientists, engineers, technicians, businessmen, anyone facing energy challenges of the future.

    This gorgeous book features clear, entertaining, and enlightening commentary alongside stunning full-color illustrations by Venezuelan artist and architect Rafael Araujo. From the pyramids of Giza, to quasicrystals, to the proportions of the human face, the golden ratio has an infinite capacity to generate shapes with exquisite properties.  With its lush format and layflat dimensions that closely approximate the golden ratio, this is the ultimate coffee table book for math enthusiasts, architects, designers, and fans of sacred geometry.

    In those twelve months, Einstein shattered many cherished scientific beliefs with five extraordinary papers that would establish him as the world's leading physicist. This book brings those papers together in an accessible format. The best-known papers are the two that founded special relativity: On the Electrodynamics of Moving Bodies and Does the Inertia of a Body Depend on Its Energy Content? In the former, Einstein showed that absolute time had to be replaced by a new absolute: the speed of light. In the second, he asserted the equivalence of mass and energy, which would lead to the famous formula E = mc2.The book also includes On a Heuristic Point of View Concerning the Production and Transformation of Light, in which Einstein challenged the wave theory of light, suggesting that light could also be regarded as a collection of particles. This helped to open the door to a whole new world--that of quantum physics. For ideas in this paper, he won the Nobel Prize in 1921.The fourth paper also led to a Nobel Prize, although for another scientist, Jean Perrin. On the Movement of Small Particles Suspended in Stationary Liquids Required by the Molecular-Kinetic Theory of Heat concerns the Brownian motion of such particles. With profound insight, Einstein blended ideas from kinetic theory and classical hydrodynamics to derive an equation for the mean free path of such particles as a function of the time, which Perrin confirmed experimentally. The fifth paper, A New Determination of Molecular Dimensions, was Einstein's doctoral dissertation, and remains among his most cited articles. It shows how to calculate Avogadro's number and the size of molecules.These papers, presented in a modern English translation, are essential reading for any physicist, mathematician, or astrophysicist. Far more than just a collection of scientific articles, this book presents work that is among the high points of human achievement and marks a watershed in the history of science. Coinciding with the 100th anniversary of the miraculous year, this new paperback edition includes an introduction by John Stachel, which focuses on the personal aspects of Einstein's youth that facilitated and led up to the miraculous year.

    With this book, the author adds to the debate revolving around the 'anthropic principle' by developing the 'world principle.' The author offers the reader an original critique of materialist philosophy, ancient Greek philosophy, and in particular of Kant and Hawking, making this book highly informative and thought-provoking. The reader not only finds answers to questions about the meaning of our existence, but also gains new insights into science, philosophy and theology.

    In The Constants of Nature, Cambridge Professor and bestselling author John D.Barrow takes us on an exploration of these governing principles. Drawing on physicists such as Einstein and Planck, Barrow illustrates with stunning clarity our dependence on the steadfastness of these principles. But he also suggests that the basic forces may have been radically different during the universe’s infancy, and suggests that they may continue a deeply hidden evolution. Perhaps most tantalizingly, Barrow theorizes about the realities that might one day be found in a universe with different parameters than our own.

    Burger teaches at Wiliams College; Starbird at The University of Texas at Austin. Here, they “reveal the hidden powers of deep understanding (earth), failure (fire), questions (air), the flow of ideas (water), and the quintessential element of change that brings all four elements together. By mastering and applying these practical and proven strategies, readers develop better thinking habits and learn how to create their own successes.”Brilliant people aren't a special breed--they just use their minds differently. By using the straightforward and thought-provoking techniques in "The 5 Elements of Effective Thinking," you will regularly find imaginative solutions to difficult challenges, and you will discover new ways of looking at your world and yourself--revealing previously hidden opportunities.The book offers real-life stories, explicit action items, and concrete methods that allow you to attain a deeper understanding of any issue, exploit the power of failure as a step toward success, develop a habit of creating probing questions, see the world of ideas as an ever-flowing stream of thought, and embrace the uplifting reality that we are all capable of change. No matter who you are, the practical mind-sets introduced in the book will empower you to realize any goal in a more creative, intelligent, and effective manner. Filled with engaging examples that unlock truths about thinking in every walk of life, "The 5 Elements of Effective Thinking" is written for all who want to reach their fullest potential--including students, parents, teachers, businesspeople, professionals, athletes, artists, leaders, and lifelong learners.Whenever you are stuck, need a new idea, or want to learn and grow, "The 5 Elements of Effective Thinking" will inspire and guide you on your way.

    How did this marvel of self-organized complexity evolve? How is wealth created within this system? And how can wealth be increased for the benefit of individuals, businesses, and society? In The Origin of Wealth, Eric D. Beinhocker argues that modern science provides a radical perspective on these age-old questions, with far-reaching implications. According to Beinhocker, wealth creation is the product of a simple but profoundly powerful evolutionary formula: differentiate, select, and amplify. In this view, the economy is a "complex adaptive system" in which physical technologies, social technologies, and business designs continuously interact to create novel products, new ideas, and increasing wealth. Taking readers on an entertaining journey through economic history, from the Stone Age to modern economy, Beinhocker explores how "complexity economics" provides provocative insights on issues ranging from creating adaptive organizations to the evolutionary workings of stock markets to new perspectives on government policies. A landmark book that shatters conventional economic theory, The Origin of Wealth will rewire our thinking about how we came to be here—and where we are going.

    Essentially, you make an initial guess, and then get more data to improve it. Bayes Theorem, or Bayes Rule, has a ton of real world applications, from estimating your risk of a heart attack to making recommendations on Netflix But It Isn't That Complicated This book is a short introduction to Bayes Theorem. It is only 15 pages long, and is intended to show you how Bayes Theorem works as quickly as possible. The examples are intentionally kept simple to focus solely on Bayes Theorem without requiring that the reader know complicated probability distributions. If you want to learn the basics of Bayes Theorem as quickly as possible, with some easy to duplicate examples, this is a good book for you.

    The controversial book linking intelligence to class and race in modern society, and what public policy can do to mitigate socioeconomic differences in IQ, birth rate, crime, fertility, welfare, and poverty.