The bestselling author of The Miracle Morning shares the secret to unlocking your full potential—all day, every day. “A simple, proven formula for creating extraordinary results in your life.”—Lewis Howes, New York Times bestselling author of The School of Greatness Even after the incredible success of his book The Miracle Morning, Hal Elrod realized that he still had more to share with the world. What he had discovered was a timeless but overlooked formula for success. The world’s top achievers have used it for centuries. He used it to thrive against seemingly insurmountable odds, from overcoming life-threatening health challenges to near financial collapse. That formula is The Miracle Equation, and it couldn’t be any simpler: Unwavering Faith + Extraordinary Effort = Miracles By establishing and maintaining Unwavering Faith that you can achieve anything you desire, and then putting forth Extraordinary Effort until you do, you’ll create results beyond what you believe to be possible. In The Miracle Equation, you’ll learn how to • Replace fear with faith • Move from resistance to acceptance • Let go of negative emotions • Turn off your stress response • Overcome your limitations to unlock your limitless potential • Develop emotional invincibility • Grow from happiness, which is fleeting, to inner peace, which is lasting And with the Miracle Equation 30-Day Challenge to guide your way, you’ll create a step-by-step plan to actualize your miracles and become the person you need to be in order to succeed. No goal is out of reach! Praise for The Miracle Equation “The Miracle Equation isn’t just a book, it’s the formula that I myself have used to achieve greatness beyond what I ever believed was possible. Hal Elrod has taken the mystery out of miracles and gives you a simple, proven formula for creating extraordinary results in your life. Highly recommended.”—Lewis Howes, New York Times bestselling author of The School of Greatness "You're only two decisions away from achieving everything you want. And my friend, Hal Elrod, has simplified these two decisions into a simple equation for achieving results. Follow it, and your success is virtually guaranteed. If you want your biggest goals to move from possible, to probable, to inevitable, you better read The Miracle Equation."—Mel Robbins, bestselling author of The 5-Second Rule

An award-winning science writer introduces us to mathematics using the extraordinary equation that unites five of mathematics' most important numbers Bertrand Russell wrote that mathematics can exalt "as surely as poetry." This is especially true of one equation: ei(pi) + 1 = 0, the brainchild of Leonhard Euler, the Mozart of mathematics. More than two centuries after Euler's death, it is still regarded as a conceptual diamond of unsurpassed beauty. Called Euler's identity or God's equation, it includes just five numbers but represents an astonishing revelation of hidden connections. It ties together everything from basic arithmetic to compound interest, the circumference of a circle, trigonometry, calculus, and even infinity. In David Stipp's hands, Euler's identity formula becomes a contemplative stroll through the glories of mathematics. The result is an ode to this magical field.

The seventeen equations that form the basis for life as we know it. Most people are familiar with history's great equations: Newton's Law of Gravity, for instance, or Einstein's theory of relativity. But the way these mathematical breakthroughs have contributed to human progress is seldom appreciated. In In Pursuit of the Unknown, celebrated mathematician Ian Stewart untangles the roots of our most important mathematical statements to show that equations have long been a driving force behind nearly every aspect of our lives. Using seventeen of our most crucial equations -- including the Wave Equation that allowed engineers to measure a building's response to earthquakes, saving countless lives, and the Black-Scholes model, used by bankers to track the price of financial derivatives over time -- Stewart illustrates that many of the advances we now take for granted were made possible by mathematical discoveries. An approachable, lively, and informative guide to the mathematical building blocks of modern life, In Pursuit of the Unknown is a penetrating exploration of how we have also used equations to make sense of, and in turn influence, our world.

Galois theory is the culmination of a centuries-long search for a solution to the classical problem of solving algebraic equations by radicals. In this book, Bewersdorff follows the historical development of the theory, emphasizing concrete examples along the way. As a result, many mathematical abstractions are now seen as the natural consequence of particular investigations. Few prerequisites are needed beyond general college mathematics, since the necessary ideas and properties of groups and fields are provided as needed. Results in Galois theory are formulated first in a concrete, elementary way, then in the modern form. Each chapter begins with a simple question that gives the reader an idea of the nature and difficulty of what lies ahead. The applications of the theory to geometric constructions, including the ancient problems of squaring the circle, duplicating the cube, and trisecting the angle, and the construction of regular n n-gons are also presented. This new edition contains an additional chapter as well as twenty facsimiles of milestones of classical algebra. It is suitable for undergraduates and graduate students, as well as teachers and mathematicians seeking a historical and stimulating perspective on the field.