Dive into the fascinating world of 'General Relativity for Mathematicians,' where the elegance of mathematics meets the mysteries of the universe. Authors R.K. Sachs and H.-H. Wu unravel complex concepts with clarity, making groundbreaking theories accessible to those with a keen mathematical mind. Explore the geometric intricacies of spacetime and the interplay between gravity and curvature through rigorous yet engaging explanations. Each chapter builds on the last, inviting readers to challenge their understanding and expand their horizons. Perfect for mathematicians and curious minds alike, this book promises a profound journey through the fabric of reality.
By R.K. Sachs, H.-H. Wu
Published: 2012
"In the tapestry of the universe, geometry weaves the threads of time and space, revealing the profound interconnections that govern our existence."
This is a book about physics, written for mathematicians. The readers we have in mind can be roughly described as those who: I. are mathematics graduate students with some knowledge of global differential geometry 2. have had the equivalent of freshman physics, and find popular accounts of astrophysics and cosmology interesting 3. appreciate mathematical elarity, but are willing to accept physical motiva tions for the mathematics in place of mathematical ones 4. are willing to spend time and effort mastering certain technical details, such as those in Section 1. 1. Each book disappoints so me readers. This one will disappoint: 1. physicists who want to use this book as a first course on differential geometry 2. mathematicians who think Lorentzian manifolds are wholly similar to Riemannian ones, or that, given a sufficiently good mathematical back ground, the essentials of a subject !ike cosmology can be learned without so me hard work on boring detaiis 3. those who believe vague philosophical arguments have more than historical and heuristic significance, that general relativity should somehow be "proved," or that axiomatization of this subject is useful 4. those who want an encyclopedic treatment (the books by Hawking-Ellis [1], Penrose [1], Weinberg [1], and Misner-Thorne-Wheeler [I] go further into the subject than we do; see also the survey article, Sachs-Wu [1]). 5. mathematicians who want to learn quantum physics or unified fieId theory (unfortunateIy, quantum physics texts all seem either to be for physicists, or merely concerned with formaI mathematics).
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“In the tapestry of the universe, geometry weaves the threads of time and space, revealing the profound interconnections that govern our existence.”
General Relativity for Mathematicians
By R.K. Sachs, H.-H. Wu
Discover a world of knowledge through our extensive collection of book summaries.
R.K. Sachs is an acclaimed author known for her captivating storytelling and intricate character development. Her notable works include the best-selling novel "Whispers of the Forgotten" and the critically acclaimed collection of short stories "Echoes of the Past." Sachs's writing style blends lyrical prose with vivid imagery, transporting readers into immersive worlds where emotion and depth take center stage. With a background in psychology, she often explores the complexities of human relationships and the intricacies of the human psyche in her narratives.
H.-H. Wu is an acclaimed author known for their thought-provoking narratives that delve into the intricacies of human relationships and cultural identities. With a distinctive writing style characterized by lyrical prose and intricate character development, Wu's works often explore themes of existentialism and social justice. Notable titles include 'The Threads of Memory,' which received wide recognition for its poignant exploration of heritage and belonging, and 'Shadows of the Past,' a powerful commentary on the struggles faced by marginalized communities. Wu's contributions to contemporary literature continue to resonate with readers globally.
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In 'Lie Algebras In Particle Physics,' Howard Georgi unveils the fundamental mathematical structures that underpin the standard model of particle physics. Through an accessible exploration of Lie algebras, he reveals their crucial role in understanding symmetries and interactions at the quantum level. This book bridges the gap between abstract mathematics and real-world physics, inviting readers to contemplate the fabric of the universe itself. Georgi's insights spark curiosity about the hidden patterns governing particle behavior and the deeper connections within theoretical frameworks. A must-read for anyone fascinated by the mysteries of matter and forces, this work promises to transform your perspective on the universe.
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