Modern Geometry — Methods and Applications Book Summary

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."

Book Review of Modern Geometry — Methods and Applications

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.

Similar books you might like →

Showing 8 of 27 similar books

Similar Book Recommendations →

Chris Dixon's Book Recommendations

Chris Dixon is a notable venture capitalist and technology entrepreneur, best known for his influential role as a general partner at Andreessen Horowitz, where he leads investments in cryptocurrency and blockchain technology. Before joining the firm, Dixon co-founded two startups: SiteAdvisor, a web security company acquired by McAfee, and Hunch, a recommendation engine acquired by eBay. In addition to his investment career, Dixon is a prolific writer and thought leader on technology and innovation, contributing insightful essays and articles to various platforms such as his personal blog and Medium. His writings often explore the future of technology, the internet, and the impact of blockchain, making significant contributions to contemporary tech literature. Dixon's work has earned him recognition as a visionary in both the tech and literary worlds.

Technology and FutureInspiring ReadsCreativity and Innovation

Bret Victor's Book Recommendations

Bret Victor is a renowned American interface designer and computer scientist celebrated for his innovative contributions to interactive design and human-computer interaction. He is best known for creating dynamic, explorable explanations, which have significantly influenced the way educational content is presented and understood. Victor's seminal work, "Inventing on Principle," advocates for the integration of immediate feedback in creative processes, inspiring a new wave of interactive programming environments. As a former member of the Apple Human Interface team, he played a pivotal role in shaping modern user interfaces. Through his organization, Dynamicland, Victor continues to explore and expand the boundaries of immersive, collaborative computing environments.

Creativity and InnovationTechnology and FutureEducation

Charlie Munger's Book Recommendations

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.

Business and LeadershipMoney MattersInspiring Reads

Barack Obama's Book Recommendations

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.

PoliticsMemoirs and BiographiesSuccess Stories and Life Lessons

Andrew Wilkinson's Book Recommendations

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.

Business and LeadershipInspiring ReadsCreativity and Innovation

David Sinclair's Book Recommendations

David Sinclair is an Australian biologist and professor at Harvard Medical School, known for his pioneering research in the field of aging and longevity. Sinclair's work focuses on understanding the biological mechanisms that drive aging and developing interventions to slow or reverse the process. His bestselling book Lifespan: Why We Age – and Why We Don’t Have To explores the latest advancements in anti-aging science and offers insights into how humans might extend their healthspan. Sinclair's research has led to breakthroughs in areas such as sirtuins, NAD+ metabolism, and cellular reprogramming. He is also the co-founder of several biotech companies, including Sirtris Pharmaceuticals and Life Biosciences, dedicated to translating aging research into practical treatments. Sinclair is a vocal advocate for taking a proactive approach to aging, promoting lifestyle changes and emerging therapies to delay age-related diseases. His work has made him a leading figure in the longevity movement, influencing both scientific and public discourse on the future of health.

Health and NutritionSelf-ImprovementScience and Nature

Albert Wenger's Book Recommendations

Albert Wenger is a prominent venture capitalist and author, best known for his insightful contributions to the intersection of technology and society. As a managing partner at Union Square Ventures, he has invested in and mentored numerous groundbreaking startups, significantly shaping the digital landscape. Wenger is the author of "World After Capital," a thought-provoking book that explores the implications of a post-capitalist society driven by abundant knowledge and digital innovation. His work has sparked important discussions about the future of work, education, and governance in an increasingly automated world. Beyond his writing, Wenger is a sought-after speaker and influential thought leader in the tech community.

Technology and FutureBusiness and LeadershipSuccess Stories and Life Lessons

Bill Gates's Book Recommendations

Bill Gates, co-founder of Microsoft Corporation, is a pioneering figure in the tech industry, having played a key role in the personal computer revolution. His work at Microsoft, particularly the development of Windows, transformed software and computing globally. Beyond his technology contributions, Gates is also a prolific author, with notable works such as "The Road Ahead" and "Business @ the Speed of Thought," which offer insights into the future of technology and business. Additionally, his philanthropic efforts through the Bill & Melinda Gates Foundation have had a profound impact on global health, education, and poverty. Gates continues to influence both technology and literature with his forward-thinking perspectives and innovative ideas.

Business and LeadershipTechnology and FutureInspiring ReadsMemoirs and Biographies

Showing 8 of 12 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