An Introduction to Manifolds

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Short description: 2009 mathematics textbook by Loring W. Tu


An Introduction to Manifolds is a mathematics textbook written by Loring W. Tu providing an introduction to differential and integral calculus on smooth manifolds.[1] It was first published in 2008 by Springer and received positive reviews.[2][3] The book is meant as a precursor to Differential Forms in Algebraic Topology by Raoul Bott and Tu.[4][5]

References

  1. Tu, Loring W. (2011) (in en). An Introduction to Manifolds. Universitext. Springer. doi:10.1007/978-1-4419-7400-6. ISBN 978-1-4419-7399-3. https://link.springer.com/book/10.1007/978-1-4419-7400-6. 
  2. Berg, Michael (April 19, 2008). "An Introduction to Manifolds". Mathematical Association of America. https://old.maa.org/press/maa-reviews/an-introduction-to-manifolds. 
  3. Cap, A. (September 25, 2010). "Book Reviews" (in en). Monatshefte für Mathematik (SpringerLink) 161 (3): 354. doi:10.1007/s00605-010-0237-5. https://link.springer.com/article/10.1007/s00605-010-0237-5. 
  4. Feldman, D. V. (June 2008). "An Introduction to Manifolds". Choice: Current Reviews for Academic Libraries 45 (10): 1807. doi:10.5860/CHOICE.45-5637. ProQuest 225728177. https://www.proquest.com/docview/225728177. 
  5. Bott, Raoul; Tu, Loring W. (1982) (in en). Differential Forms in Algebraic Topology. Graduate Texts in Mathematics. 82. Springer. doi:10.1007/978-1-4757-3951-0. ISBN 978-1-4419-2815-3. https://link.springer.com/book/10.1007/978-1-4757-3951-0.