Dive into 'Analysis, Manifolds and Physics,' a compelling fusion of mathematical concepts and their physical implications. This revised edition masterfully elucidates the intricate relationships between analysis, geometry, and the laws of physics. With expertly crafted examples and clear explanations, it guides readers through the complexities of manifolds and their applications in modern physics. Ideal for both aspiring mathematicians and physicists, it challenges conventional perspectives and ignites curiosity about the underlying structures of the universe. Are you ready to unravel the mathematical tapestry that shapes our understanding of reality?
By Yvonne Choquet-Bruhat, Cecile DeWitt-Morette
Published: 2004
"Mathematics is the language of the universe, and through the exploration of manifolds, we gain profound insights into the very fabric of reality."
This reference book, which has found wide use as a text, provides an answer to the needs of graduate physical mathematics students and their teachers. The present edition is a thorough revision of the first, including a new chapter entitled ``Connections on Principle Fibre Bundles'' which includes sections on holonomy, characteristic classes, invariant curvature integrals and problems on the geometry of gauge fields, monopoles, instantons, spin structure and spin connections. Many paragraphs have been rewritten, and examples and exercises added to ease the study of several chapters. The index includes over 130 entries.
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“Mathematics is the language of the universe, and through the exploration of manifolds, we gain profound insights into the very fabric of reality.”
Analysis, Manifolds and Physics Revised Edition
By Yvonne Choquet-Bruhat, Cecile DeWitt-Morette
Discover a world of knowledge through our extensive collection of book summaries.
Yvonne Choquet-Bruhat is a distinguished French mathematician and author, renowned for her contributions to the fields of mathematical physics and general relativity. Born in 1923, she has produced numerous significant works, including 'General Relativity and the Einstein Equations' and 'The Theory of General Relativity'. A collaborator and mentee of renowned physicists, her writing is characterized by a clear, analytical style that bridges complex mathematical theories with accessible explanations, fostering a deeper understanding of physics. Choquet-Bruhat's work not only advances theoretical frameworks but also emphasizes the importance of intuition and creativity in scientific exploration.
Cecile DeWitt-Morette is an acclaimed author and physicist known for her pioneering contributions to theoretical physics and exceptional storytelling. Her notable works include the acclaimed novel 'The Quantum Thief', which intricately weaves complex scientific concepts with imaginative narratives. DeWitt-Morette's writing style is characterized by a unique blend of clarity and creativity, making advanced scientific ideas accessible to a broader audience while retaining depth and nuance. With a professional background in physics, she combines her expertise with a passion for literature, creating works that challenge readers to explore the intersections of science and humanity.
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