Hidden Harmonies

A squared plus b squared equals c squared. It sounds simple, doesn't it? Yet this familiar expression is a gateway into the riotous garden of mathematics, and sends us on a journey of exploration in the company of two inspired guides, acclaimed authors Robert and Ellen Kaplan. With wit, verve, and clarity, they trace the life of the Pythagorean theorem, from ancient Babylon to the present, visiting along the way Leonardo da Vinci, Albert Einstein, President James Garfield, and the Freemasons-not to mention the elusive Pythagoras himself, who almost certainly did not make the statement that bears his name. How can a theorem have more than one proof? Why does this one have more than two hundred-or is it four thousand? The Pythagorean theorem has even more applications than proofs: Ancient Egyptians used it for surveying property lines, and today astronomers call on it to measure the distance between stars. Its generalizations are stunning-the theorem works even with shapes on the sides that aren't squares, and not just in two dimensions, but any number you like, up to infinity. And perhaps its most intriguing feature of all, this tidy expression opened the door to the world of irrational numbers, an untidy discovery that deeply troubled Pythagoras's disciples. Like the authors' bestselling The Nothing That Is and Chances Are . . .-hailed as "erudite and witty," "magnificent," and "exhilarating"-Hidden Harmonies makes the excitement of mathematics palpable.

When childhood sweethearts Reba Dwyer and Luke Wyatt marry, they expect no surprises. But now that Luke is her husband, discord enters their lives. Secret Harmonies is utterly absorbing, moving story of what happens to this couple.

The Harvard mathematician authors of The Art of the Infinite present a history of the famous relation "A squared plus B squared equals C squared" that assesses its contributors from da Vinci to the Freemasons while analyzing its numerous proofs and applications.

One of the major shifts in OT studies over the past half of a century has been the move away from studies dominated by diachronic matters toward more text-immanent, synchronic approaches. In Psalter studies, one can see such a shift on two levels. First, on the level of the individual psalm, there has been a general trend to focus on the literary and linguistic features as the proper means for discerning the meaning of the poem. Second, on the level of the Psalter as a whole, scholars have devoted significant attention to its canonical shape and the role of adjacent psalms in the interpretation of each individual psalm. In Remember, O Yahweh, Todd approaches Psalms 135--137 on both of these levels. After a detailed poetic analysis of each psalm, he proposes that Psalms 135--137 serve as a bridge between the Songs of Ascents (Pss 120--134) and the Last Davidic Psalter (Pss 138--145). As such, this group highlights Yahweh's past acts of deliverance as the basis for the post-exilic community's prayer for Yahweh to remember his people's lowly condition.

Welcome to Melodia, a city once alive with the enchanting sounds of music, now cloaked in an oppressive silence. Under the iron-fisted rule of the Quietus, music has been declared a threat, instruments confiscated, and melodies silenced. But in the heart of this quiet, one rebellious street musician dares to defy the regime. Meet Lyra, a young and passionate musician whose soul thrives on the melodies she creates. Despite the dangers, Lyra clings to her lute, playing in secret, yearning for the days when music flowed freely through Melodia's streets. Her life takes a dramatic turn when she stumbles upon an ancient, magical instrument with untold powers—an instrument capable of both immense healing and devastating destruction. With this discovery, Lyra ignites the spark of revolution. Joined by a band of unlikely allies—Tomas, a guitarist with a sharp mind for strategy; Elena, a flutist with deep knowledge of Melodia's storied past; Mira, a fiery violinist with unyielding resolve; and Darius, a former Quietus member seeking redemption through the piano—Lyra embarks on a perilous journey. Together, they must learn to harness the instrument's power, confront their own fears, and inspire a city to rise against its oppressors. The Silent Symphony is a gripping tale of defiance and hope, set in a richly imagined world where music holds magical properties. It explores the profound impact of art on the human spirit and the lengths to which people will go to reclaim their freedom and identity. As Lyra and her friends navigate the complexities of trust, leadership, and sacrifice, they discover that true strength lies in unity and the unbreakable bonds of community. This captivating novel will transport you to a place where the silence is palpable and the stakes are high. You will feel the weight of the Quietus's oppression, the exhilaration of secret rehearsals, and the suspense of daring escapes. Through Lyra's eyes, you will experience the transformative power of music and witness the rebirth of a city that refuses to be silenced. The Silent Symphony is more than just a story of rebellion; it is a celebration of the arts and their vital role in our lives. It reminds us that even in the darkest times, music has the power to bring people together, to heal wounds, and to inspire change. As you delve into this book, you will be inspired by Lyra's journey and reminded of the resilience of the human spirit. Perfect for fans of dystopian adventures, epic fantasies, and stories where the arts triumph over tyranny, The Silent Symphony will resonate with readers long after the final page is turned. Experience the magic, the danger, and the beauty of Melodia, where every note counts and the courage of a few can spark a revolution. Join Lyra and her band of heroes in their quest to restore the soul of their city. Feel the power of the Last Resonance and the triumph of a community united by music. The Silent Symphony is a tale of defiance, unity, and the enduring power of art that will leave you breathless and inspired. Dive into The Silent Symphony today and let the music of Melodia carry you away on an unforgettable journey of hope, courage, and freedom.

A lighthearted survey of the science of mistakes by the authors of Chances Are reveals how the human race is hard-wired to get things wrong in countless ways, citing such examples as successful racy advertisements for inferior products, our inclinations to favor dysfunctional relationship partners and the socially unacceptable behaviors of leaders. Reprint.