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Infinite Realities How Mathematics Shapes the Cosmos, Nature, Mind and Machine

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Infinite Realities: How Mathematics Shapes the Cosmos, Nature, Mind and Machine
English | October 12, 2026 | ASIN: B0HMV1K7XJ | 608 pages | Epub | 24.27 MB
Infinite RealitiesHow Mathematics Shapes the Cosmos, Nature, Mind, and MachineDr. (Hon.) Govind Pathak Amazon KDP book descriptionONE MATHEMATICS. INFINITE REALITIES.Why should a few lines of symbols describe the orbit of a planet, the spiral of a sunflower, the beat of a heart, the price of a share, and the reasoning of a machine? Why does mathematics, invented on clay tablets and temple altars, turn out to be the language in which the universe is written?Infinite Realities is a richly illustrated journey through the whole of mathematics: where it came from, how its great branches work, how it shapes the cosmos, nature, the human mind, and intelligent machines, what it cannot do, and where it is heading next. Award-winning author and technologist Dr. (Hon.) Govind Pathak draws on three decades of building the networks that connect billions of people to show abstract ideas at work in the real world, from the Fourier analysis inside every phone call to the linear algebra inside artificial intelligence.A complete journey in seven partsOrigins: from notched bones and Babylonian tablets to Greek proof, the algebra of Baghdad, the Maya, and the scientific revolution, with India's gift of zero and place value told accurately and in fullThe great branches: numbers, algebra, linear algebra, geometry, calculus, probability and statistics, logic, topology, algebraic geometry, chaos and optimization, each explained in plain languageThe universe in equations: the cosmos, Einstein's curved space-time, the quantum world, and the mystery of timeNature, life, and the working world: sunflowers and snowflakes, epidemics and medical scanners, loans and cricket, games and voting, money and markets, bridges, power grids, and the voyages of Mangalyaan and Chandrayaan-3The human spirit: philosophy, sacred geometry, art, music, language, the beauty of proof, and the women who changed mathematicsMachines and the digital age: computing, cryptography, UPI and online security, telecommunications from 2G to 5G, and the mathematics inside artificial intelligenceLimits, mysteries, and the future: Gödel and Turing, consciousness, ethics, the Millennium Prize Problems, and the 2026 frontier of AI-assisted discoveryDesigned to be read, enjoyed, and kept44 chapters and more than 250 original figures, diagrams, and tables"The big idea" at the start of every chapter and "Where you meet it" at the end, linking each branch to everyday lifePuzzles to try, real-world case studies, "Indian connection" features, and chapter summariesAn atlas of all the branches of mathematics, plus a timeline, a gallery of great mathematicians, a glossary, and essential formulasNo mathematics beyond school level assumedWhether you are a curious reader who left mathematics behind at school, a student looking for the big picture, a teacher in search of stories that bring the subject alive, or a professional in technology, finance, or engineering who wants to understand the ideas behind the tools, Infinite Realities will change the way you see the world.It builds on the author's earlier Mathematics: Past, Present, and Future and is a companion to his award-winning bestseller Entangled Realities.Discover the hidden patterns that connect the universe, life, intelligence, and possibility.​


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