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Starting with the notion of vector spaces, the first half of the book develops topics as diverse as algebras, classical orthogonal polynomials, Fourier analysis, complex analysis, differential and integral equations, operator theory, and multi-dimensional Green's functions. The second half of the book introduces groups, manifolds, Lie groups and their representations, Clifford algebras and their representations, and fibre bundles and their applications to differential geometry and gauge theories.  This second edition is a substantial revision with a complete rewriting of many chapters and the addition of new ones, including chapters on algebras, representation of Clifford algebras, fibre bundles, and gauge theories. The spirit of the first edition, namely the balance between rigour and physical application, has been maintained, as is the abundance of historical notes and worked out examples that demonstrate the \"unreasonable effectiveness of mathematics\" in modern physics.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ GARDNERS","offer_id":49858213970193,"sku":"NGR9783319011943","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51789602521361,"sku":"NIN9783319011943","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":52107585880337,"sku":"CIN3319011944VG","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/3319011944.jpg?v=1751382617"},{"product_id":"mathematical-methods-book-sadri-hassani-9780387095035","title":"Mathematical Methods","description":"Intended to follow the usual introductory physics courses, this book has the unique feature of addressing the mathematical needs of sophomores and juniors in physics, engineering and other related fields. 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Written by Sadri Hassani, the author of several mathematical physics textbooks, this work covers the essentials of modern physics, in a way that is as thorough as it is compelling and accessible.   Some of you might want to know …. . . How did Galileo come to think about the first law of motion? . . . Did Newton actually discover gravity by way of an apple and an accident? Or maybe you have mulled over…. . . Is it possible for Santa Claus to deliver all his toys?  . . . Is it possible to prove that Elvis does not visit Graceland every midnight? Or perhaps you’ve even wondered … . . . If ancient Taoism really parallels modern physics?  . . . If psychoanalysis can actually be called a science?  . . . How it is that some philosophies of science may imply that a 650-year-old woman can give birth to a child?  No Advanced Mathematics RequiredA primary textbook for undergraduate students not majoring in physics, From Atoms to Galaxies examines physical laws and their consequences from a conceptual perspective that requires no advanced mathematics. It explains quantum physics, relativity, nuclear and particle physics, gauge theory, quantum field theory, quarks and leptons, and cosmology. Encouraging students to subscribe to proven causation rather than dramatic speculation, the book:         Defines the often obscured difference between science and technology, discussing how this confusion taints both common culture and academic rigor  Explores the various philosophies of science, demonstrating how errors in our understanding of scientific principles can adversely impact scientific awareness Exposes how pseudoscience and New Age mysticism advance unproven conjectures as dangerous alternatives to proven science        Based on courses taught by the author for over 15 years, this textbook has been developed to raise the scientific awareness of the untrained reader who lacks a technical or mathematical background. To accomplish this, the book lays the foundation of the laws that govern our universe in a nontechnical way, emphasizing topics that excite the mind, namely those taken from modern physics, and exposing the abuses made of them by the New Age gurus and other mystagogues. It outlines the methods developed by physicists for the scientific investigation of nature, and contrasts them with those developed by the outsiders who claim to be the owners of scientific methodology. Each chapter includes essays, which use the material developed in that chapter to debunk misconceptions, clarify the nature of science, and explore the history of physics as it relates to the development of ideas. Noting the damage incurred by confusing science and technology, the book strives to help the reader to emphatically demarcate the two, while clearly demonstrating that science is the only element capable of advancing technology.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51001476415761,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51001478316305,"sku":"NIN9780367384111","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52147502481681,"sku":"NLS9780367384111","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0367384116.jpg?v=1750781372"},{"product_id":"mathematical-methods-book-sadri-hassani-9781493937127","title":"Mathematical Methods","description":"Intended to follow the usual introductory physics courses, this book has the unique feature of addressing the mathematical needs of sophomores and juniors in physics, engineering and other related fields. 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The association of mystical ideas with modern physics in the self-improvement industry is not new. The “spookiness” of quantum properties like uncertainty and entanglement has proven fertile ground for new-age mystics and alternative medicine advocates who saw a way to put a scientific veneer on their claims. In the early days, the founders of quantum physics accused it of implying an observer-created reality. Later, Taoists and Wu Li dancers were quantized. Then ancient Indian medicine, Ayurveda, morphed into “quantum healing.” Little wonder The Oprah Winfrey Show told its viewers: think about losing weight, making more money, and falling in love, and you’ll become thin, wealthy, and happily married … all based on quantum physics. Criticism of the pseudoscientific misappropriation of quantum physics has been widespread but inadequate; thus far, the scientific community has failed to account for its own role in the fusion of pop-spirituality and quantum physics. 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Encouraging students to subscribe to proven causation rather than dramatic speculation, the book:         Defines the often obscured difference between science and technology, discussing how this confusion taints both common culture and academic rigor  Explores the various philosophies of science, demonstrating how errors in our understanding of scientific principles can adversely impact scientific awareness Exposes how pseudoscience and New Age mysticism advance unproven conjectures as dangerous alternatives to proven science        Based on courses taught by the author for over 15 years, this textbook has been developed to raise the scientific awareness of the untrained reader who lacks a technical or mathematical background. 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