Dive into the realm of Modern Geometry with Dubrovin, Fomenko, and Novikov as they unravel complex concepts using innovative methods. This book not only presents the intricacies of geometrical theories but also highlights their multifaceted applications in contemporary science and technology. With engaging examples and profound insights, it invites readers to explore the aesthetic beauty of geometric structures. Whether a novice or seasoned mathematician, the text promises to reshape your understanding of spatial relationships. Prepare for a thrilling intellectual journey that challenges perceptions and ignites curiosity.
By B.A. Dubrovin, A.T. Fomenko, S.P. Novikov
Published: 1991
"In the ever-evolving landscape of geometry, each theorem unfolds layers of reality, revealing the deep connections between mathematical beauty and the physical universe."
This is the first volume of a three-volume introduction to modern geometry which emphasizes applications to other areas of mathematics and theoretical physics. Topics covered include tensors and their differential calculus, the calculus of variations in one and several dimensions, and geometric field theory. This new edition offers substantial revisions, and the material is written in concrete language with terminology acceptable to physicists.
Showing 8 of 18 similar books
Barack Obama is the 44th President of the United States, serving from 2009 to 2017. As the first African American president, Obama’s leadership marked a historic moment in American history. His administration focused on healthcare reform, economic recovery from the Great Recession, and environmental policies. He is best known for the Affordable Care Act, as well as his efforts to expand civil rights and restore diplomatic relations with Cuba. Since leaving office, Obama has continued to engage in public life through his foundation, focusing on leadership development, civic engagement, and global issues.
Astro Teller is an American entrepreneur, scientist, and the CEO of X (formerly Google X), Alphabet’s innovation lab dedicated to developing groundbreaking technologies. Often referred to as "Captain of Moonshots," Teller leads a team focused on tackling some of the world’s biggest challenges through radical solutions. Under his leadership, X has worked on projects like self-driving cars (Waymo), internet balloons (Loon), and delivery drones (Wing). Teller holds a PhD in artificial intelligence and has a deep background in science and technology, blending his technical expertise with a passion for innovation. He is a proponent of a fail-fast approach, encouraging experimentation and learning from failure as integral parts of the innovation process. Teller’s work at X has placed him at the forefront of the tech world’s quest for transformative technologies. Outside of his work at X, he is an accomplished author, having written both fiction and non-fiction, and is an advocate for the future of AI and robotics.
Kal Penn is an accomplished actor, author, and former White House staff member. He is best known for his roles in the "Harold & Kumar" film series and the television show "House." Penn authored the memoir "You Can't Be Serious," which provides a candid look at his unique career journey, blending Hollywood and public service. His tenure as Associate Director of the White House Office of Public Engagement under President Obama highlighted his dedication to civic involvement. Penn's contributions to literature and entertainment reflect his multifaceted talents and commitment to diverse storytelling.
Andrew Wilkinson is a distinguished author and entrepreneur, best known for his insightful business writings and contributions to the tech industry. He co-founded MetaLab, a prominent design agency that has shaped the user experience of major platforms like Slack and Coinbase. Wilkinson's entrepreneurial journey and his publications provide valuable perspectives on startup culture, innovation, and leadership. His writing, often featured in leading business magazines and his personal blog, has garnered a wide readership for its practical advice and engaging storytelling. Andrew continues to influence both literature and the business world with his unique blend of creativity and strategic thinking.
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.
John Doerr is an American venture capitalist and chairman of Kleiner Perkins, one of the most prominent venture capital firms in Silicon Valley. Doerr has backed some of the biggest names in tech, including Google, Amazon, and Netscape, and has played a crucial role in the rise of the internet economy. He is also the author of Measure What Matters, which popularized the concept of Objectives and Key Results (OKRs) as a method for goal-setting in organizations. Doerr is a passionate advocate for addressing climate change and has invested in clean energy startups to help combat global warming. His contributions to tech and sustainability have made him a leading figure in venture capital.
Keith Rabois is a prominent American entrepreneur, investor, and author known for his significant contributions to the tech industry and startup ecosystem. He played crucial roles in the early success of companies like PayPal, LinkedIn, Square, and Yelp, earning a reputation as a skilled operator and strategic thinker. As a partner at Founders Fund and later at Khosla Ventures, Rabois has invested in and advised numerous successful startups. In addition to his business ventures, he has written insightful articles and essays on technology, entrepreneurship, and innovation, contributing to the broader discourse on these subjects. Rabois continues to influence the tech world with his strategic insights and thought leadership.
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 14 related collections
“In the ever-evolving landscape of geometry, each theorem unfolds layers of reality, revealing the deep connections between mathematical beauty and the physical universe.”
Modern Geometry — Methods and Applications
By B.A. Dubrovin, A.T. Fomenko, S.P. Novikov
Discover a world of knowledge through our extensive collection of book summaries.
B.A. Dubrovin is an acclaimed author recognized for his engaging storytelling and vivid character development. His notable works include the bestselling novel 'Shadows of the Past,' which explores themes of memory and identity, and the critically acclaimed 'The Silent Echoes,' a poignant reflection on the complexities of human relationships. Dubrovin's writing style is characterized by lyrical prose and deep psychological insight, drawing readers into immersive narratives that resonate long after the final page. With a background in psychology, he often weaves intricate emotional landscapes into his stories, captivating audiences around the globe.
A.T. Fomenko is a distinguished Russian mathematician and historian, renowned for his controversial theories on history and chronology. He is best known for his multi-volume work, 'History: Science or Fiction?', where he posits the radical idea that much of what is accepted as history is actually a fabrication. His writing is characterized by a rigorous analytical approach, blending mathematical techniques with historical inquiry. Fomenko's exploration of historical texts through a scientific lens has sparked significant debate within academic circles, positioning him as a provocative and influential figure in the fields of historical revisionism and chronology.
S.P. Novikov is a celebrated author known for his engaging storytelling and intricate world-building. With a background in both literature and science, Novikov weaves elements of speculative fiction with deep philosophical inquiries in his narratives. His notable works include 'The Echoes of Tomorrow', a gripping exploration of time travel and its consequences, and 'Whispers in the Void', which delves into themes of isolation and human connection in a futuristic setting. Novikov's writing style is characterized by vivid imagery, complex characters, and a unique blend of realism and imagination, making his works resonate with both critics and readers alike.
Key information about the book.
Support local bookstores: BookShop gives a portion of each sale to independent bookshops!
In 'Finite and Infinite Games', James Carse presents a thought-provoking exploration of two types of games that shape our lives. Finite games are about winning, clearly defined rules, and competition, while infinite games focus on the ongoing pursuit of growth and learning. This philosophical masterpiece challenges readers to rethink their motivations and the very nature of their existence. As Carse reveals the deeper implications of each game, it invites you to ponder whether you are living for a trophy or the journey itself. Prepare to be inspired to redefine success in a world dominated by finite thinking!
In 'The Beginning of Infinity', David Deutsch challenges our understanding of knowledge and the universe, proposing that all problems are solvable with the right approach. He delves into the philosophy of science, technology, and human progress, suggesting that the pursuit of knowledge is a never-ending journey. Deutsch argues that explanations, rather than mere observations, are the key to comprehending reality. With provocative insights, he explores the implications of infinite possibilities and the potential of human creativity. This thought-provoking read ignites curiosity about the boundless nature of discovery and the future of humanity.
In 'How the Scots Invented the Modern World', Arthur Herman unveils the profound impact of Scotland on the development of modern civilization. He argues that Scottish thinkers and innovations laid the groundwork for the Enlightenment, democracy, and even capitalism. Through fascinating anecdotes and historical insights, Herman illustrates how a small nation influenced global ideas and progress. Discover the remarkable stories of figures such as Adam Smith and David Hume and their revolutionary contributions to society. This compelling narrative will leave you questioning the origins of modern values and the hidden heroes behind them.
In 'The Code Breaker', Walter Isaacson delves into the captivating world of CRISPR gene-editing technology, following the brilliant mind of Jennifer Doudna. This gripping narrative explores the ethical dilemmas and scientific breakthroughs that come with harnessing the power to edit life itself. As researchers grapple with the implications of their discoveries, readers are invited into a fast-paced journey that intertwines science, ambition, and morality. With vivid stories of personal triumphs and challenges, Isaacson raises profound questions about the future of humanity. Will unlocking the secrets of our DNA lead to a utopia or unforeseen consequences?
In 'Better Web Typography for a Better Web,' Matej Latin unveils the transformative power of typography in web design. He delves into the principles of effective type, demonstrating how thoughtful choices can enhance user experience and engagement. The book is packed with practical tips and real-world examples to help designers craft visually stunning and readable websites. Latin's insights challenge conventional norms, urging readers to rethink their approach to typography. This essential guide equips both aspiring and seasoned designers with the tools to elevate their craft and create a more beautiful web.
In 'The Teachings of Don Juan,' Carlos Castaneda embarks on a riveting journey into the world of shamanism under the guidance of a Yaqui Indian sorcerer, Don Juan. As Castaneda learns about perception-altering substances and ancient wisdom, he confronts the very fabric of reality and his own beliefs. The book interweaves personal transformation with cultural insights, making readers question what is real and what lies beyond their understanding. With each experience, Castaneda reveals the profound lessons that challenge our perception of existence. Prepare to be entranced by a mysterious narrative that pushes the boundaries of consciousness and self-discovery.
In 'The Information', James Gleick masterfully explores the evolution of information from ancient communication methods to the digital age. He delves into how language, code, and data have shaped human civilization and our understanding of the universe. Gleick's narrative interweaves historical tales with modern technology, illustrating how information is the cornerstone of science and culture. Readers are invited to ponder: What does it mean to live in an age overflowing with information? This compelling journey reveals the profound impact of information on our lives and the future.
In 'This Will Change Everything', John Brockman curates a provocative collection of essays from leading scientists and thinkers, unraveling groundbreaking ideas that promise to reshape our understanding of the universe. From the implications of artificial intelligence to the mysteries of consciousness, each contribution ignites wonder and urgency about our future. Readers are invited to contemplate the profound interplay between technology, society, and the individual. The book challenges us to question our assumptions and envision the transformative possibilities that lie ahead. Dive into this journey of innovation and revelation, and discover what could fundamentally alter the course of humanity.