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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.
In 1988 The Mathematical Intelligencer, a quarterly mathematics journal, carried out a poll to find the most beautiful theorem in mathematics. Twenty-four theorems were listed and readers were invited to award each a 'score for beauty'. While there were many worthy competitors, the winner was 'Euler's equation'. In 2004 Physics World carried out a similar poll of 'greatest equations', and found that among physicists Euler's mathematical result came second only to Maxwell's equations. The Stanford mathematician Keith Devlin reflected the feelings of many in describing it as "like a Shakespearian sonnet that captures the very essence of love, or a painting which brings out the beauty of the human form that is far more than just skin deep, Euler's equation reaches down into the very depths of existence." What is it that makes Euler's identity, e]iPi + 1 = 0, so special? In Euler's Pioneering Equation Robin Wilson shows how this simple, elegant, and profound formula links together perhaps the five most important numbers in mathematics, each associated with a story in themselves: the number 1, the basis of our counting system; the concept of zero, which was a major development in mathematics, and opened up the idea of negative numbers; Pi an irrational number, the basis for the measurement of circles; the exponential e, associated with exponential growth and logarithms; and the imaginary number i, the square root of -1, the basis of complex numbers. Following a chapter on each of the elements, Robin Wilson discusses how the startling relationship between them was established, including the several near misses to the discovery of the formula.
With this fun romp through the world of equations we encounter in our everyday lives, you’ll find yourself flipping through the stories of fifty-two formulas faster than a deck of cards. John M. Henshaw’s intriguing true accounts, each inspired by a different mathematical equation, are both succinct and easy to read. His tales come from the spheres of sports, business, history, the arts, science, and technology. Anecdotes about famous equations, like E=mc 2, appear alongside tales of not-so-famous—but equally fascinating—equations, such as the one used to determine the SPF number for sunscreen. Drawn from the breadth of human endeavor, Henshaw's stories demonstrate the power and utility of math. He entertains us by exploring the ways that equations can be used to explain, among other things, Ponzi schemes, the placebo effect, "dog years," IQ, the wave mechanics of tsunamis, the troubled modern beekeeping industry, and the Challenger disaster. Smartly conceived and fast paced, his book offers something for anyone curious about math and its impacts.
The universe is a mathematical hologram. It’s made of ontological mathematics. It’s a living, thinking, self-optimising holographic organism composed of immortal, indestructible, ontological mathematical units called monads, defined by the most powerful and beautiful equation in the whole of mathematics: Euler’s Formula. Monads have a much more resonant name: souls. We all inhabit Soul World, a wondrous immaterial Singularity outside space and time. Our souls are individual mathematical singularities: autonomous, uncaused, uncreated, dimensionless frequency domains. Via Fourier mathematics, these imperishable, immaterial monadic souls can collectively create the spacetime domain of the material world. Where each soul is a single frequency domain, the material world of space and time is their collective Fourier output. What is “matter”? It’s simply dimensional energy: energy existing in the Fourier spacetime domain rather than in the Fourier dimensionless frequency domain. Welcome to Soul World.
This book covers 250 milestones in mathematical history, beginning millions of years ago with ancient "ant odometers" and moving through time to our modern-day quest for new dimensions.
Gray doesn’t make friends with women. He has sex with them. Until Ivy. The last thing star tight-end Gray Grayson wants to do is drive his agent’s daughter’s bubblegum pink car. But he needs the wheels and she’s studying abroad. Something he explains when she sends him an irate text to let him know exactly how much pain she’ll put him in if he crashes her beloved ride. Before he knows it, Ivy Mackenzie has become his best texting bud. But then Ivy comes home and everything goes haywire. Because the only thing Gray can think of is being with Ivy. Ivy doesn’t have sex with friends. Especially not with a certain football player. No matter how hot he makes her… Gray drives Ivy crazy. He’s irreverent, sex on a stick, and completely off limits. Because, Ivy has one golden rule: never get involved with one of her father’s clients. A rule that’s proving harder to keep now that Gray is doing his best to seduce her. Her best friend is fast becoming the most irresistible guy she’s ever met. Which means Gray is going to have to use all his skills to win Ivy’s heart. Game on.
Even God has an ultimate secret, and, since the dawn of time, humanity has sought to discover it. Our finest minds, noblest souls and most adventurous spirits have quested for the Holy Grail, the Philosopher’s Stone and the mystical Blue Flower of transcendent perfection. Prometheus stole the fire of the gods to give to humanity, and suffered a terrible punishment for his beneficence and audacity. Faust obsessively pursued the infinite and unreachable, and was willing to pay any price, even if it cost him his soul. Lowest humanity gets on its knees and belly to “God”. Highest humanity will never rest until it knows the Mind of God, and takes possession of the key to the innermost secrets of existence. This book provides the astonishing answer to the supreme question – what is the meaning of life? The answer is as wondrous as it ought to be. Despite appearances, we really do live in the best of all possible worlds, one that is gradually turning us into exactly what we want to be – the Gods themselves.

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