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).
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.
Key information about the book.
Support local bookstores: BookShop gives a portion of each sale to independent bookshops!
In "The Man Who Knew Infinity," delve into the extraordinary life of mathematician Srinivasa Ramanujan, whose groundbreaking theories defied convention and challenged the mathematical elite. Born in colonial India with no formal training, Ramanujan's sheer brilliance captures the attention of British mathematician G.H. Hardy, leading to an unlikely partnership that transcends cultural barriers. As their collaboration unfolds, witness the clash of genius and tradition, illuminating the profound struggles of a man driven by an insatiable need to understand the universe. This tale of ambition, friendship, and the relentless pursuit of knowledge is both inspiring and poignant, inviting readers to contemplate the true nature of genius. Explore how one man's unwavering belief in his own vision reshapes mathematics and redefines the boundaries of possibility.
Dive into the mind of one of the 20th century's most brilliant physicists in "The Feynman Lectures on Physics," where Richard Feynman brings complex concepts to life with wit and clarity. Explore the fundamental principles of physics through captivating anecdotes and thought-provoking illustrations that challenge your understanding of the universe. Each lecture unveils the beauty and intricacy of nature, making seemingly inaccessible topics both accessible and utterly fascinating. Feynman’s unique storytelling and engaging persona elevate science to an art form, leaving you both entertained and enlightened. Are you ready to embark on a journey that will forever change how you perceive reality?
In "Cosmos," Carl Sagan embarks on a thrilling expedition through space and time, weaving together the threads of science, history, and philosophy. With stunning prose, he unveils the wonders of the universe, exploring the birth of stars, the evolution of life, and the intricacies of human existence. Sagan’s passion for discovery ignites a sense of awe, inviting readers to ponder our place within the vast cosmos. As he delves into topics from alien civilizations to the origins of consciousness, each page beckons you to rethink what you know about the universe. Prepare to be captivated by a journey that challenges the boundaries of human understanding, leaving you eager to uncover the mysteries that lie beyond the stars.
In "A Brief History of Time," Stephen Hawking takes readers on a captivating journey through the cosmos, exploring the nature of time, black holes, and the universe's beginnings. With stunning clarity, he unravels complex scientific concepts, inviting everyone—from curious laypersons to seasoned physicists—to ponder the mysteries of existence. Hawking's charismatic storytelling challenges our perceptions of reality and time itself, posing profound questions about the universe's fate. As he merges science with philosophy, the reader is compelled to reflect on their place in a vast, enigmatic cosmos. Prepare to be inspired and awed by a narrative that transcends mere facts, pushing the boundaries of human understanding.
In 'I Hate Your Guts', comedian Jim Norton delivers a hilariously candid and unapologetic examination of his own misanthropy. Through outrageous anecdotes and sharp wit, he explores the darker sides of human nature and the absurdities of modern life. Norton's uncompromising honesty challenges readers to reflect on their own biases and foibles. This book is a rollercoaster ride of laughter, self-reflection, and poignant truths that will leave you questioning your own interactions. Are you ready to uncover the unfiltered thoughts we all secretly harbor?
In 'The Making of the Atomic Bomb,' Richard Rhodes unveils the gripping narrative behind one of history's most monumental scientific achievements. With a blend of meticulous research and compelling storytelling, Rhodes explores the lives of the brilliant minds and the moral dilemmas they faced while racing against time and adversaries. As the project transforms from a theoretical concept to a world-altering weapon, readers are drawn into the political intrigue and human drama that fueled the Manhattan Project. This book not only delves into the science of atomic energy but also poses profound questions about human ambition and ethical responsibility. What does it mean to wield such immense power, and at what cost does progress come?
Dive into the intricate world of differential geometry with Michael Spivak's enlightening guide. This comprehensive introduction marries rigorous mathematical theory with captivating insights, unraveling the complex structure of curves and surfaces. Spivak's clear exposition invites readers to explore the elegant dance between mathematics and the physical universe. Whether you're a budding mathematician or a curious mind, you'll find yourself immersed in profound concepts that reveal the beauty of geometry. Join the journey to understand how curvature shapes the fabric of space itself!
No summary available
Showing 8 of 28 similar books

Catriona Wallace is a renowned Australian entrepreneur and author, best known for her pioneering work in artificial intelligence and technology. She founded Flamingo AI, one of the world's first AI companies listed on the ASX, which specializes in machine learning-based customer experience solutions. Wallace's expertise in AI and her commitment to ethical technology have earned her numerous accolades, including being named among the Top 9 Female Entrepreneurs by the Sydney Morning Herald. As an author, she has shared her insights on innovation and leadership through various publications, contributing significantly to the discourse on AI and business. Her influence extends beyond literature, as she actively advocates for greater diversity and ethical standards in the tech industry.

Adam Grant is a renowned organizational psychologist and bestselling author, celebrated for his influential work on motivation and workplace dynamics. He is a professor at the Wharton School of the University of Pennsylvania, where he has been the youngest tenured professor and earned numerous teaching awards. Grant's books, including "Give and Take," "Originals," and "Think Again," have been translated into multiple languages and have topped bestseller lists worldwide. His research and insights are frequently featured in major media outlets, and he hosts the popular podcast "WorkLife." Through his writing and speaking, Grant has profoundly impacted the fields of psychology, business, and education.

Frank Chimero is a renowned designer, illustrator, and author best known for his influential book "The Shape of Design," which explores the philosophy and practice of design. His work emphasizes the intersection of creativity and human experience, earning him a respected place in both the design and literary communities. Chimero has contributed essays and lectures that have inspired a new generation of thinkers in the creative industries. He has also been recognized for his ability to distill complex ideas into accessible, thought-provoking content. Beyond his writing, Chimero's design projects and illustrations have been featured in numerous prestigious publications and exhibitions.

Eric Weinstein is an accomplished American mathematician, economist, and writer, known for his influential work in the fields of geometric unity and economic theory. As the Managing Director of Thiel Capital, he has significantly impacted the financial and technological sectors. Weinstein is also renowned for his thought-provoking discussions on the podcast "The Portal," where he explores complex scientific and social issues. He has written extensively on a variety of topics, contributing to both academic and popular literature. His unique perspectives and interdisciplinary approach have earned him recognition as a leading intellectual voice of his generation.

Richard Branson is a British entrepreneur and founder of the Virgin Group, which operates in sectors ranging from airlines to space travel. Branson’s entrepreneurial journey began in the 1970s with Virgin Records, and he has since built one of the most recognized brands in the world. Known for his adventurous spirit and willingness to take risks, Branson has pursued innovative ventures like Virgin Galactic, aiming to pioneer commercial space tourism. He is also a philanthropist, focusing on environmental sustainability and global health issues. Branson's bold and unconventional approach to business has made him a global icon of entrepreneurship.

Charlie Munger is an American investor, businessman, and philanthropist, best known as the vice chairman of Berkshire Hathaway, where he partners with Warren Buffett. Renowned for his insights on investment strategies and mental models, Munger has significantly influenced the world of finance. His notable literary contributions include "Poor Charlie's Almanack," a compilation of his speeches and writings that distill his wisdom on decision-making and business principles. Munger's work emphasizes the importance of multidisciplinary thinking and continuous learning. Beyond his financial acumen, he is celebrated for his charitable efforts, particularly in education and healthcare.

Jon Stewart is an American comedian, writer, and former host of The Daily Show, where he gained fame for his satirical take on news and politics. Stewart transformed The Daily Show into a critical voice in American media, blending humor with hard-hitting commentary on political and social issues. After stepping down from the show, Stewart has continued to advocate for causes like 9/11 first responders and veterans' rights. He is also a filmmaker, directing the political satire film Irresistible. Stewart remains a significant figure in American culture, known for his wit, activism, and influence on political discourse.

Mark Zuckerberg is an American technology entrepreneur best known for co-founding Facebook, the world's largest social media platform, which transformed global communication. Born on May 14, 1984, in White Plains, New York, he launched Facebook in 2004 while attending Harvard University. Under his leadership, Facebook expanded rapidly, influencing the social media landscape and digital advertising. Zuckerberg has also authored numerous articles and essays on technology, innovation, and the future of the internet. His work has had a profound impact on how people connect and share information in the digital age.
Showing 8 of 16 related collections
“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.