Calculus on Manifolds
'Calculus on Manifolds' by Michael Spivak is a masterful exploration of advanced calculus that transcends traditional methods. Spivak extends the concepts of calculus to multidimensional spaces, revealing the beauty and complexity of manifold theory. Through engaging examples and clear explanations, he invites readers on a journey to discover the deeper connections between geometry and analysis. This book is not just a textbook; it's a gateway to higher mathematical thought and a challenge for the curious mind. Perfect for those eager to expand their understanding of mathematics, it promises to leave you both enlightened and inspired.
By Michael Spivak
Published: 1965
"Mathematics is not about numbers, equations, or algorithms: it is about understanding."
Start Listening
What Readers Say About This Book
This book uses elementary versions of modern methods found in sophisticated mathematics to discuss portions of "advanced calculus" in which the subtlety of the concepts and methods makes rigor difficult to attain at an elementary level.
The Mike & Casey Show
Dive into captivating book discussions with our expert hosts
Key Points from Calculus on Manifolds
About the Author
Michael Spivak
Michael Spivak is a renowned mathematician and author, best known for his influential texts on calculus and geometry. His notable works include 'Calculus on Manifolds', 'The Joy of TeX', and the exquisite 'A Comprehensive Introduction to Differential Geometry', which has become a standard reference in mathematical literature. Spivak's writing is characterized by its clarity and commitment to providing a deep and intuitive understanding of complex mathematical concepts, making his works accessible to both students and professionals.
Book Details
Key information about the book.
- Authors
- Michael Spivak
- Published
- January 1965
- Publisher
- Westview Press
- ISBN
- 0805390219
- Language
- English
- Pages
- 164
- Genres
- Science and NatureScientific Discoveries
Purchase Options
Buy on Amazon
Buy via BookShopSupport local bookstores: BookShop gives a portion of each sale to independent bookshops!
Similar books you might like →
Captive Prince
C. S. Pacat
Brief Answers to the Big Questions
Stephen Hawking
A Brief History of Time
Stephen Hawking
A Universe from Nothing
Lawrence M. Krauss
Three Scientists and Their Gods
Robert Wright
Ender's Game
Orson Scott Card
Enlightenment Now
Steven Pinker
Dancing Naked in the Mind Field
Kary Mullis
The Greatest Story Ever Told--So Far
Lawrence M. Krauss
General Relativity for Mathematicians
R.K. Sachs, H.-H. Wu
Modern Geometry — Methods and Applications
B.A. Dubrovin, A.T. Fomenko, S.P. Novikov
The Year of Magical Thinking
Joan Didion
A New Kind of Science
Stephen Wolfram
Art of Doing Science and Engineering
Richard R. Hamming
All Out War
Tim Shipman
Annals of the Former World
John McPhee
The Origin of Species
Charles Darwin
The Science of Can and Can't
Chiara Marletto
Arctica
Sebastian Copeland
Book of Ideas
Radim Malinic
Princeton Companion to Applied Mathematics
Nicholas J. Higham, Mark R. Dennis, Paul Glendinning, Paul A. Martin, Fadil Santosa, Jared Tanner
Drunk Tank Pink
Adam Alter
Whole Earth Discipline
Stewart Brand
The Ultimate Quotable Einstein
Albert Einstein
Birth of a Theorem
Cédric Villani
Five Days at Memorial
Sheri Fink
The Collected Poems of Dylan Thomas
Dylan Thomas
Our Mathematical Universe
Max Tegmark
Knowledge and Power
George Gilder
Take your reading experience to the next level
Download our mobile app to enjoy your favorite books on the go. Get access to exclusive features, offline listening, and personalized recommendations.
Book Collections you might like →
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.
View Collection
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.
View Collection
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.
View Collection
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.
View Collection
Bill Nye's Book Recommendations
Bill Nye, also known as "Bill Nye the Science Guy," is an American science communicator, mechanical engineer, and television presenter. He rose to fame as the host of the popular children’s science show Bill Nye the Science Guy, which educated a generation of young viewers on scientific concepts in an accessible and entertaining way. Nye is a passionate advocate for science education and environmental causes, particularly in the fight against climate change. He has continued his mission to make science accessible through various media, including books, public speaking, and a Netflix series titled Bill Nye Saves the World. Nye frequently appears as a guest on talk shows and news programs to discuss science-related topics and the importance of evidence-based policies. In addition to his television work, Nye is also the CEO of The Planetary Society, a nonprofit organization that promotes space exploration. His contributions to science communication have earned him widespread recognition and numerous awards.
View Collection“Mathematics is not about numbers, equations, or algorithms: it is about understanding.”
Calculus on Manifolds
By Michael Spivak
Frequently Asked Questions
Explore Our Catalogue
Discover a world of knowledge through our extensive collection of book summaries.