{"title":"Mario Livio","description":"","products":[{"product_id":"golden-ratio-book-mario-livio-9780767908160","title":"The Golden Ratio","description":"Throughout history, thinkers from mathematicians to theologians have pondered the mysterious relationship between numbers and the nature of reality. In this fascinating book, Mario Livio tells the tale of a number at the heart of that mystery: \u003ci\u003ephi\u003c\/i\u003e, or 1.6180339887.This curious mathematical relationship, widely known as The Golden Ratio, was discovered by Euclid more than two thousand years ago because of its crucial role in the construction of the pentagram, to which magical properties had been attributed. Since then it has shown a propensity to appear in the most astonishing variety of places, from mollusk shells, sunflower florets, and rose petals to the shape of the galaxy. Psychological studies have investigated whether the Golden Ratio is the most aesthetically pleasing proportion extant, and it has been asserted that the creators of the Pyramids and the Parthenon employed it. It is believed to feature in works of art from Leonardo da Vinci's \u003ci\u003eMona Lisa \u003c\/i\u003eto Salvador Dali's \u003ci\u003eThe Sacrament of the Last Supper\u003c\/i\u003e, and poets and composers have used it in their works. It has even been found to be connected to the behavior of the stock market  \u003cp\u003e\u003c\/p\u003e \u003ci\u003eThe Golden Ratio\u003c\/i\u003e is a captivating journey through art and architecture, botany and biology, physics and mathematics. It tells the human story of numerous phi-fixated individuals, including the followers of Pythagoras who believed that this proportion revealed the hand of God; astronomer Johannes Kepler, who saw phi as the greatest treasure of geometry; such Renaissance thinkers as mathematician Leonardo Fibonacci of Pisa; and such masters of the modern world as Goethe, Cezanne, Bartok, and physicist Roger Penrose. Wherever his quest for the meaning of phi takes him, Mario Livio reveals the world as a place where order, beauty, and eternal mystery will always coexist.","brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":49509254529297,"sku":"CIN0767908163G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":49546228564241,"sku":"GOR002051223","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ WELL_READ \/ INTERNAL","offer_id":49562915701009,"sku":"GOR003597537","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ GOOD \/ INTERNAL","offer_id":49888619135249,"sku":"GOR003030990","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ WELL_READ \/ SBYB","offer_id":50365114351889,"sku":"CIN0767908163A","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ LIKE_NEW \/ INTERNAL","offer_id":50628118642961,"sku":"GOR011632680","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ NEW \/ INGRAM","offer_id":51006938972433,"sku":"NIN9780767908160","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ LIKE_NEW \/ SBYB","offer_id":51592823046417,"sku":"CIN0767908163LN","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":52105369190673,"sku":"CIN0767908163VG","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0767908163.jpg?v=1751075376"},{"product_id":"equation-that-couldn-t-be-solved-book-mario-livio-9780285637436","title":"Equation That Couldn't be Solved","description":"The story of symmetry is a story of brilliant mathematicians, and a fascinating account of how mathematics illuminates a wide variety of disciplines. It explains how J.S. Bach composed, how the rubik's cube was invented and why we are sexually attracted to other people. Over the millennia, mathematicians had solved progressively more difficult algebraic equations until they came to the quintic equation. It resisted solution for several centuries, until two mathematical prodigies independently discovered that it could not be solved by the usual methods and opened the door to group theory. These young geniuses, a Norwegian named Niels Henrik Abel and the Frenchman, Évarist Galois, would both die tragically. Galois spent the night before his death in a duel (aged only twenty) scribbling another summary of his proof, writing in the margin of his notebook: \"I have no time\".","brand":"WoB","offers":[{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":49511554089233,"sku":"GOR002671091","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ LIKE_NEW \/ INTERNAL","offer_id":49628846620945,"sku":"GOR011129381","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ GOOD \/ INTERNAL","offer_id":52652195643665,"sku":"GOR005156797","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0285637436.jpg?v=1751259176"},{"product_id":"galileo-book-mario-livio-9781501194733","title":"Galileo","description":"Galileo's story may be more relevant today than ever before. At present, we face enormous crises-such as the minimization of the dangers of climate change-because the science behind these threats is erroneously questioned or ignored. Galileo encountered this problem 400 years ago. His discoveries, based on careful observations and ingenious experiments, contradicted conventional wisdom and the teachings of the church at the time. Consequently his books were forbidden by church authorities.       Astrophysicist and bestselling author Mario Livio draws on his own scientific expertise to provide captivating insights into how Galileo reached his bold new conclusions about the cosmos and the laws of nature. A freethinker who followed the evidence wherever it led him, Galileo was one of the most significant figures behind the scientific revolution. He believed that every educated person should know science as well as literature, and insisted on reaching the widest audience possible, publishing his books in Italian rather than Latin.       Galileo was put on trial with his life in the balance for refusing to renounce his scientific convictions. He remains a hero and inspiration to scientists and all of those who respect science-which, as Livio reminds us in this gripping book, remains threatened even today.","brand":"WoB","offers":[{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":49515410161937,"sku":"GOR011642180","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ GARDNERS","offer_id":49754911768849,"sku":"NGR9781501194733","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":49867862147345,"sku":"CIN1501194739VG","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ LIKE_NEW \/ INTERNAL","offer_id":50110226006289,"sku":"GOR010606223","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ GOOD \/ SBYB","offer_id":50378978394385,"sku":"CIN1501194739G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ GOOD \/ INTERNAL","offer_id":50432307036433,"sku":"GOR013948450","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ WELL_READ \/ SBYB","offer_id":52106325164305,"sku":"CIN1501194739A","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1501194739.jpg?v=1751406217"},{"product_id":"equation-that-couldn-t-be-solved-book-mario-livio-9780285637894","title":"Equation That Couldn't be Solved","description":"For centuries the phenomenon of symmetry had defied mathematicians' attempts to define it in a single equation. The attempt to create this equation, the quintic equation, would open up a route to group theory, and group theory lies at the heart of modern science and modern technology. The discovery of group theory paved the way for Einstein's theory of general relativity, modern physics and the search for a unifying theory of the cosmos. I have no time , wrote Evariste Galois in the margin of his manuscript which finally solved the quintic equation, and invented a new branch of mathematics, that of group theory. Aged only twenty he died shortly after in a duel, regarded as one of the greatest scholars of his age and as a revolutionary in Louis Philippe's France he was a member of the same republican society as Alexandre Dumas (and was imprisoned along with the poet Gerard de Nerval for his political sympathies).","brand":"WoB","offers":[{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":49519126446353,"sku":"GOR002021796","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ GOOD \/ INTERNAL","offer_id":50152234909969,"sku":"GOR004116176","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ LIKE_NEW \/ INTERNAL","offer_id":52109212156177,"sku":"GOR011495687","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0285637894.jpg?v=1759229863"},{"product_id":"golden-ratio-book-mario-livio-9780767908153","title":"The Golden Ratio","description":"Throughout history, thinkers from mathematicians to theologians have pondered the mysterious relationship between numbers and the nature of reality. 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It is believed to feature in works of art from Leonardo da Vinci's \u003ci\u003eMona Lisa \u003c\/i\u003eto Salvador Dali's \u003ci\u003eThe Sacrament of the Last Supper\u003c\/i\u003e, and poets and composers have used it in their works. It has even been found to be connected to the behavior of the stock market  \u003cp\u003e\u003c\/p\u003e \u003ci\u003eThe Golden Ratio\u003c\/i\u003e is a captivating journey through art and architecture, botany and biology, physics and mathematics. It tells the human story of numerous phi-fixated individuals, including the followers of Pythagoras who believed that this proportion revealed the hand of God; astronomer Johannes Kepler, who saw phi as the greatest treasure of geometry; such Renaissance thinkers as mathematician Leonardo Fibonacci of Pisa; and such masters of the modern world as Goethe, Cezanne, Bartok, and physicist Roger Penrose. Wherever his quest for the meaning of phi takes him, Mario Livio reveals the world as a place where order, beauty, and eternal mystery will always coexist.","brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":49523910312209,"sku":"CIN0767908155G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":49547371774225,"sku":"GOR003305070","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ WELL_READ \/ SBYB","offer_id":50294586605841,"sku":"CIN0767908155A","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":51505969299729,"sku":"CIN0767908155VG","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ LIKE_NEW \/ INTERNAL","offer_id":51681378074897,"sku":"GOR014351588","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ GOOD \/ INTERNAL","offer_id":53158179012881,"sku":"GOR006477115","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0767908155.jpg?v=1751042623"},{"product_id":"golden-ratio-book-mario-livio-9780747249870","title":"The Golden Ratio","description":"What do the Parthenon in Greece, crosses in graveyards, the ratio of the height of the navel to a woman's total height, sunflowers and Leonardo da Vinci's Mona Lisa have in common? The answer is that these disparate elements share a geometrical proportion of ancient origin, commonly known as the \"Golden Ratio\", or expressed numerically as phi. In a journey through art and architecture, botany and biology, taking in fractals and DNA on the way, Livio takes us into the heart of this extraordinary number, and gives an account of the phi-obsessed individuals who devoted their lives to discovering their secrets - from the Pythagoreans who believed that the study of the \"Golden Ratio\" would reveal the hand of God, to the great astronomer Johannes Kepler who felt that phi was the greatest treasure of geometry, to the modern day scientists who are discovering ever more remarkable ramifications of this strange, almost mystical number.","brand":"WoB","offers":[{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":49538824667409,"sku":"GOR002044846","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ WELL_READ \/ INTERNAL","offer_id":49653428125969,"sku":"GOR012501552","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ LIKE_NEW \/ INTERNAL","offer_id":50270646993169,"sku":"GOR013165825","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ GOOD \/ INTERNAL","offer_id":53067918213393,"sku":"GOR003187780","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0747249873.jpg?v=1751445954"},{"product_id":"brilliant-blunders-book-mario-livio-9781439192375","title":"Brilliant Blunders","description":"We all make mistakes. 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Along the way the reader learns an enormous amount about the evolution of life on earth and in the universe, but from an unusual vantage point -- the mistakes of great scientists rather than the achievements that made them famous.","brand":"WoB","offers":[{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":49543991492881,"sku":"GOR006345571","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ GOOD \/ SBYB","offer_id":49560006328593,"sku":"CIN1439192375G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ GOOD \/ INTERNAL","offer_id":49645582516497,"sku":"GOR010322297","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":50093892043025,"sku":"CIN1439192375VG","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ WELL_READ \/ SBYB","offer_id":50381949403409,"sku":"CIN1439192375A","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ NEW \/ INGRAM","offer_id":51026226446609,"sku":"NIN9781439192375","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ WELL_READ \/ INTERNAL","offer_id":52110723580177,"sku":"GOR014479619","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1439192375.jpg?v=1751442464"},{"product_id":"golden-ratio-book-mario-livio-9780747249887","title":"The Golden Ratio","description":"What do the Parthenon in Greece, crosses in graveyards, the ratio of the height of the navel to a woman's total height, sunflowers and Leonardo da Vinci's \"Mona Lisa\" have in common? 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Nobel Laureate Eugene Wigner once wondered about “the unreasonable effectiveness of mathematics” in the formulation of the laws of nature. Is God a Mathematician? investigates why mathematics is as powerful as it is. From ancient times to the present, scientists and philosophers have marveled at how such a seemingly abstract discipline could so perfectly explain the natural world. More than that—mathematics has often made predictions, for example, about subatomic particles or cosmic phenomena that were unknown at the time, but later were proven to be true. Is mathematics ultimately invented or discovered? If, as Einstein insisted, mathematics is “a product of human thought that is independent of experience,” how can it so accurately describe and even predict the world around us?    Physicist and author Mario Livio brilliantly explores mathematical ideas from Pythagoras to the present day as he shows us how intriguing questions and ingenious answers have led to ever deeper insights into our world. This fascinating book will interest anyone curious about the human mind, the scientific world, and the relationship between them.","brand":"WoB","offers":[{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":49562208239889,"sku":"GOR001949436","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ GOOD \/ INTERNAL","offer_id":49654393733393,"sku":"GOR006492569","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ GOOD \/ SBYB","offer_id":49804635275537,"sku":"CIN0743294068G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ LIKE_NEW \/ INTERNAL","offer_id":49884852617489,"sku":"GOR010400871","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ WELL_READ \/ SBYB","offer_id":50085156913425,"sku":"CIN0743294068A","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ NEW \/ INGRAM","offer_id":50984175075601,"sku":"NIN9780743294065","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":51355466465553,"sku":"CIN0743294068VG","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0743294068.jpg?v=1751296335"},{"product_id":"brilliant-blunders-book-mario-livio-9781439192368","title":"Brilliant Blunders","description":"We all make mistakes. 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It is rich storytelling and, above all, a celebration of the human mind on its quest for beauty in all things.-Alan Lightman, bestselling author of Einstein's Dreams\u003c\/p\u003e\u003cp\u003eStimulating.-Nature\u003c\/p\u003e\u003cp\u003eThe reader will enter a 'garden of delights.'-Physics World\u003c\/p\u003e\u003cp\u003eFar more than a puzzle for specialists, the struggle to reinterpret the cosmos raises fundamental questions about the human craving for order: Does this craving reflect deep cosmic harmonies that helped create our species? Or does it simply defy an irreducible chaos that we would rather not confront? Livio probes these questions with a daring sufficient to satisfy the hungriest curiosity.-Booklist\u003c\/p\u003e\u003cp\u003eIn this entertaining and lively exploration of the universe, Hubble Space Telescope scientist Mario Livio introduces us to the old cosmology, which culminated in the view of a perfectly balanced universe, and then presents all of the fascinating ideas being explored by cosmologists in the new cosmology, which has been inspired by the discovery of acceleration. 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Galileo’s story may be more relevant today than ever before. At present, we face enormous crises—such as minimizing the dangers of climate change—because the science behind these threats is erroneously questioned or ignored. Galileo encountered this problem 400 years ago. His discoveries, based on careful observations and ingenious experiments, contradicted conventional wisdom and the teachings of the church at the time. Consequently, in a blatant assault on freedom of thought, his books were forbidden by church authorities.   Astrophysicist and bestselling author Mario Livio draws on his own scientific expertise and uses his “gifts as a great storyteller” (The Washington Post) to provide a “refreshing perspective” (Booklist) into how Galileo reached his bold new conclusions about the cosmos and the laws of nature. A freethinker who followed the evidence wherever it led him, Galileo was one of the most significant figures behind the scientific revolution. He believed that every educated person should know science as well as literature, and insisted on reaching the widest audience possible, publishing his books in Italian rather than Latin.   Galileo was put on trial with his life in the balance for refusing to renounce his scientific convictions. 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He also talked to people with boundless curiosity: a superstar rock guitarist who is also an astrophysicist; an astronaut with degrees in computer science, biology, literature, and medicine. What drives these people to be curious about so many subjects? \u003cp\u003e\u003c\/p\u003eAn astrophysicist who has written about mathematics, biology, and now psychology and neuroscience, Livio has firsthand knowledge of his subject which he explores in a lucid, entertaining way that will captivate anyone who is curious about curiosity.","brand":"WoB","offers":[{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":50378710188305,"sku":"CIN1501175432VG","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1501175432.jpg?v=1751406199"},{"product_id":"why-book-mario-livio-9781476792095","title":"Why?","description":"Astrophysicist and author Mario Livio investigates perhaps the most human of all our characteristics—curiosity—as he explores our innate desire to know why.  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Even so, there is still no definitive scientific consensus about why we humans are so curious, or about the mechanisms in our brain that are responsible for curiosity.    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Galileo’s story may be more relevant today than ever before. At present, we face enormous crises—such as the minimization of the dangers of climate change—because the science behind these threats is erroneously questioned or ignored. Galileo encountered this problem 400 years ago. His discoveries, based on careful observations and ingenious experiments, contradicted conventional wisdom and the teachings of the church at the time. Consequently, in a blatant assault on freedom of thought, his books were forbidden by church authorities.   Astrophysicist and bestselling author Mario Livio draws on his own scientific expertise to provide captivating insights into how Galileo reached his bold new conclusions about the cosmos and the laws of nature. A freethinker who followed the evidence wherever it led him, Galileo was one of the most significant figures behind the scientific revolution. 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It is rich storytelling and, above all, a celebration of the human mind in its quest for beauty in all things.\" -Alan Lightman, author of Einstein's Dreams \"This is a wonderfully lucid account of the extraordinary discoveries that have made the last years a golden period for observational cosmology. But Mario Livio has not only given the reader one clear explanation after another of what astronomers are up to, he has used them to construct a provocative argument for the importance of aesthetics in the development of science and for the inseparability of science, art, and culture.\" -Lee Smolin, author of The Life of the Cosmos \"What a pleasure to read! An exciting, simple account of the universe revealed by modern astronomy. Beautifully written, clearly presented, informed by scientific and philosophical insights.\" -John Bahcall, Institute for Advanced Study \"A book with charm, beauty, elegance, and importance. 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Livio probes these questions with a daring sufficient to satisfy the hungriest curiosity.-Booklist\u003c\/p\u003e\u003cp\u003eIn this entertaining and lively exploration of the universe, Hubble Space Telescope scientist Mario Livio introduces us to the old cosmology, which culminated in the view of a perfectly balanced universe, and then presents all of the fascinating ideas being explored by cosmologists in the new cosmology, which has been inspired by the discovery of acceleration. 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With each chapter written by a leading expert in the field, topics include massive compact halo objects, the oldest white dwarfs, hot gas in clusters of galaxies, primordial nucleosynthesis, modified Newtonian dynamics, the cosmic mass density, the growth of large-scale structure, and a discussion of dark energy. This book is an invaluable resource for both professional astronomers and graduate students.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52587923407121,"sku":"NLS9780521822275","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780521822275.jpg?v=1761057214"},{"product_id":"planets-to-cosmology-book-mario-livio-9780521847582","title":"Planets to Cosmology","description":"This book acknowledges the importance of identifying the most crucial science to be performed by the superb Hubble Telescope. 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The special emphasis on future research makes this book an essential resource for both professional researchers and graduate students in astronomy and astrophysics.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52614527680785,"sku":"NLS9780521847582","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780521847582.jpg?v=1761521472"}],"url":"https:\/\/www.worldofbooks.com\/en-gb\/collections\/author-books-by-mario-livio.oembed","provider":"World of Books ","version":"1.0","type":"link"}