An Introduction to Manifolds

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

↑ 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.
↑ Berg, Michael (April 19, 2008). "An Introduction to Manifolds". Mathematical Association of America. https://old.maa.org/press/maa-reviews/an-introduction-to-manifolds.
↑ 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.
↑ 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.
↑ 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.

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[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.

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