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Theorem
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Birth of a Theorem : A Mathematical Adventure
“This man could plainly do for mathematics what Brian Cox has done for physics” — Sunday TimesHow does a genius see the world?Where and how does inspiration strike?Cédric Villani takes us on a mesmerising adventure as he wrestles with the Boltzmann equation – a new theorem that will eventually win him the most coveted prize in mathematics and a place in the mathematical history books.Along the way he encounters obstacles and setbacks, losses of faith and even brushes with madness. His story is one of courage and partnership, doubt and anxiety, elation and despair.Of ordinary family life blurring with the abstract world of mathematical physics, of theories and equations that haunt your dreams and seeking the elusive inspiration found only in a locked, darkened room. Blending science with history, biography with myth, Villani conjures up an inimitable cast: the omnipresent Einstein, mad genius Kurt Godel, and Villani’s personal hero, John Nash. Step inside the magical world of Cédric Villani…
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Fermat’s Last Theorem
‘I have a truly marvellous demonstration of this proposition which this margin is too narrow to contain.’ It was with these words, written in the 1630s, that Pierre de Fermat intrigued and infuriated the mathematics community.For over 350 years, proving Fermat’s Last Theorem was the most notorious unsolved mathematical problem, a puzzle whose basics most children could grasp but whose solution eluded the greatest minds in the world.In 1993, after years of secret toil, Englishman Andrew Wiles announced to an astounded audience that he had cracked Fermat’s Last Theorem.He had no idea of the nightmare that lay ahead. In ‘Fermat’s Last Theorem’ Simon Singh has crafted a remarkable tale of intellectual endeavour spanning three centuries, and a moving testament to the obsession, sacrifice and extraordinary determination of Andrew Wiles: one man against all the odds.
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Fermat’s Last Theorem
Introducing the Collins Modern Classics, a series featuring some of the most significant books of recent times, books that shed light on the human experience – classics which will endure for generations to come. ‘Maths is one of the purest forms of thought, and to outsiders mathematicians may seem almost otherworldly’ In 1963, schoolboy Andrew Wiles stumbled across the world’s greatest mathematical problem: Fermat’s Last Theorem.Unsolved for over 300 years, he dreamed of cracking it. Combining thrilling storytelling with a fascinating history of scientific discovery, Simon Singh uncovers how an Englishman, after years of secret toil, finally solved mathematics’ most challenging problem. Fermat’s Last Theorem is remarkable story of human endeavour, obsession and intellectual brilliance, sealing its reputation as a classic of popular science writing. ‘To read it is to realise that there is a world of beauty and intellectual challenge that is denied to 99.9 per cent of us who are not high-level mathematicians’ The Times
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Which board games for two players are role-playing strategy games?
Some popular board games for two players that are role-playing strategy games include "Gloomhaven: Jaws of the Lion," "Mage Knight Board Game," and "War of the Ring." These games involve players taking on specific roles or characters, making strategic decisions, and engaging in combat or other challenges to achieve their objectives. They often require players to plan and strategize their moves, manage resources, and work together or against each other to win the game.
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Is live-action role-playing dangerous?
Live-action role-playing (LARP) can have some risks associated with it, but it is generally considered safe as long as participants follow the rules and guidelines set by the organizers. Injuries can occur, such as sprains or bruises, especially during combat or physical activities. It is important for participants to be aware of their physical limitations and to communicate any concerns with the organizers to ensure a safe and enjoyable experience. Overall, with proper preparation and adherence to safety protocols, LARP can be a fun and engaging activity.
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What is the Pythagorean theorem and the cathetus theorem?
The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In mathematical terms, it can be written as a^2 + b^2 = c^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides, called catheti. The cathetus theorem, also known as the converse of the Pythagorean theorem, states that if the square of the length of the longest side of a triangle is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right-angled triangle. In other words, if a^2 + b^2 = c^2, then the triangle is a right-angled triangle, where c is the longest side (hypotenuse) and a and b are
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What is the Pythagorean theorem and the altitude theorem?
The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be expressed as a^2 + b^2 = c^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides. The altitude theorem, also known as the geometric mean theorem, states that in a right-angled triangle, the altitude (the perpendicular line from the right angle to the hypotenuse) is the geometric mean between the two segments of the hypotenuse. This can be expressed as h^2 = p * q, where h is the length of the altitude, and p and q are the lengths of the two segments of the hypotenuse.
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Emmy Noether's Wonderful Theorem
"In the judgment of the most competent living mathematicians, Fraulein Noether was the most significant creative mathematical genius thus far produced since the higher education of women began."-Albert Einstein The year was 1915, and the young mathematician Emmy Noether had just settled into Gottingen University when Albert Einstein visited to lecture on his nearly finished general theory of relativity.Two leading mathematicians of the day, David Hilbert and Felix Klein, dug into the new theory with gusto, but had difficulty reconciling it with what was known about the conservation of energy.Knowing of her expertise in invariance theory, they requested Noether's help.To solve the problem, she developed a novel theorem, applicable across all of physics, which relates conservation laws to continuous symmetries-one of the most important pieces of mathematical reasoning ever developed. Noether's "first" and "second" theorem was published in 1918.The first theorem relates symmetries under global spacetime transformations to the conservation of energy and momentum, and symmetry under global gauge transformations to charge conservation. In continuum mechanics and field theories, these conservation laws are expressed as equations of continuity.The second theorem, an extension of the first, allows transformations with local gauge invariance, and the equations of continuity acquire the covariant derivative characteristic of coupled matter-field systems.General relativity, it turns out, exhibits local gauge invariance.Noether's theorem also laid the foundation for later generations to apply local gauge invariance to theories of elementary particle interactions.In Dwight E. Neuenschwander's new edition of Emmy Noether's Wonderful Theorem, readers will encounter an updated explanation of Noether's "first" theorem.The discussion of local gauge invariance has been expanded into a detailed presentation of the motivation, proof, and applications of the "second" theorem, including Noether's resolution of concerns about general relativity.Other refinements in the new edition include an enlarged biography of Emmy Noether's life and work, parallels drawn between the present approach and Noether's original 1918 paper, and a summary of the logic behind Noether's theorem.
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Pythagorean Theorem for Babies
Set the children in your life on a lifelong path to learning with the next installment of the Baby University board book series.Full of scientific information, this is the perfect book to teach complex concepts in a simple, engaging way.Pythagorean Theorem for Babies is a colorfully simple introduction for youngsters (and grownups!) to what the Pythagorean Theorem is and how we can go about proving it.It's never too early to become a scientist!
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Moon Adventure and Oink Games - The Ultimate Board Game Collection for Co-op Adventure Role-Playing
Moon Adventure and Oink Games - The Ultimate Board Game Collection for Co-op Adventure Role-Playing
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Moon Adventure and Oink Games - The Ultimate Board Game Collection for Co-op Adventure Role-Playing
Moon Adventure and Oink Games - The Ultimate Board Game Collection for Co-op Adventure Role-Playing
Price: 4.79 £ | Shipping*: 1.99 £
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What is Live-Action Role-Playing (LARP)?
Live-Action Role-Playing (LARP) is a form of interactive storytelling where participants physically act out their characters in a fictional setting. Players create characters with specific traits and goals, then interact with others in real-time to advance the story. LARP often involves costumes, props, and a designated game space to enhance the immersive experience. It allows participants to step into a different world, explore new identities, and engage in collaborative storytelling.
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What is the role of the peripheral angle theorem in similarity?
The peripheral angle theorem is essential in similarity because it states that if two angles of one triangle are congruent to two angles of another triangle, then the third pair of angles must also be congruent, ensuring that the triangles are similar. This theorem helps establish the criteria for determining similarity between triangles based on their angles. By using the peripheral angle theorem, we can confidently identify and work with similar triangles in various geometric problems and applications.
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Which desktop PC would you recommend for strategy and simulation games?
I would recommend a desktop PC with a powerful processor, such as an Intel Core i7 or AMD Ryzen 7, to handle the complex calculations and AI in strategy and simulation games. Additionally, a dedicated graphics card, like an NVIDIA GeForce RTX or AMD Radeon RX, is essential for rendering detailed graphics and smooth gameplay. A minimum of 16GB of RAM is also important for multitasking and running these resource-intensive games smoothly. Lastly, a solid-state drive (SSD) would provide faster load times and overall system responsiveness. Overall, a desktop PC with these specifications would provide a great gaming experience for strategy and simulation games.
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How can the altitude theorem and the cathetus theorem be transformed?
The altitude theorem and the cathetus theorem can be transformed by applying them in different geometric shapes and contexts. For example, the altitude theorem, which states that the length of the altitude of a triangle is inversely proportional to the length of the corresponding base, can be applied to various types of triangles and even extended to other polygons. Similarly, the cathetus theorem, which relates the lengths of the two perpendicular sides of a right triangle to the length of the hypotenuse, can be generalized to other right-angled shapes or even applied in three-dimensional geometry. By exploring different scenarios and shapes, these theorems can be adapted and transformed to solve a wide range of geometric problems.
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