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An Introduction to Manifolds

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). An Introduction to Manifolds. Universitext. Springer. doi:10.1007/978-1-4419-7400-6. ISBN 978-1-4419-7399-3.
  2. ^ Berg, Michael (April 19, 2008). "An Introduction to Manifolds". MAA Reviews. Mathematical Association of America. Retrieved 2025-09-19.
  3. ^ Cap, A. (September 25, 2010). "Book Reviews". Monatshefte für Mathematik. 161 (3). SpringerLink: 354. doi: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 (inactive 19 September 2025). ProQuest 225728177.{{cite journal}}: CS1 maint: DOI inactive as of September 2025 (link)
  5. ^ Bott, Raoul; Tu, Loring W. (1982). Differential Forms in Algebraic Topology. Graduate Texts in Mathematics. Vol. 82. Springer. doi:10.1007/978-1-4757-3951-0. ISBN 978-1-4419-2815-3.
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