Concepedia

Inverse Function Theorem

The Inverse Function Theorem is a fundamental result in multivariable calculus that establishes conditions under which a continuously differentiable function between Euclidean spaces is locally invertible, with the inverse also being continuously differentiable, provided the Jacobian determinant is non-zero at the point in question.

232

Publications

12.5K

Citations

323

Authors

189

Institutions

Publications per year

2017–2026

20

Parents

Publications

232

The inverse function theorem of Nash and Moser

Richard S. Hamilton · Bulletin of the American Mathematical Society · 1982 · 1.2K citations · Full text

, , +9

Note on the inversion theorem

J. GIL-PELAEZ · Biometrika · 1951 · 714 citations

, , +4

INTRODUCTION TO THE THEORY OF SUPERMANIFOLDS

Dimitry Leites · Russian Mathematical Surveys · 1980 · 518 citations

, , +16

On the inversion of some differentiable mappings with singularities between Banach spaces

Antonio Ambrosetti, G. A. Prodi · Annali di Matematica Pura ed Applicata (1923 -) · 1972 · 440 citations · Full text

, , +11

An approximate method for generating symmetric random variables

John S. Ramberg, Bruce W. Schmeiser · Communications of the ACM · 1972 · 403 citations · Full text

, , +14

1–5 of 232

Authors

323

  1. TT
    Terence Tao

    University of California, Los Angeles, United States

    6 publications · 393 citations

    6

    h-index

  2. BG
    Ben Green

    University of California, Los Angeles, United States

    5 publications · 379 citations

    5

    h-index

  3. AV
    A. V. Arutyunov

    Peoples' Friendship University of Russia, Russia

    5 publications · 118 citations

    5

    h-index

  4. DK
    Derek K. Thomas

    Swansea University, United Kingdom

    4 publications · 63 citations

    4

    h-index

  5. MB
    Michael Becker

    BorgWarner (Brazil), Brazil

    3 publications · 65 citations

    3

    h-index

1–5 of 323

Institutions

189

  1. University of California, Los Angeles

    Los Angeles, United States

    6 h-index

    8 publications

    472 citations

  2. Peoples' Friendship University of Russia

    Moscow, Russia

    4 h-index

    5 publications

    82 citations

  3. Swansea University

    Swansea, United Kingdom

    4 h-index

    4 publications

    63 citations

  4. Technion – Israel Institute of Technology

    Haifa, Israel

    3 h-index

    5 publications

    144 citations

  5. Kyushu University

    Fukuoka, Japan

    3 h-index

    3 publications

    75 citations

  6. University of Cambridge

    Cambridge, United Kingdom

    3 h-index

    3 publications

    221 citations

  7. Université Paris Cité

    Paris, France

    3 h-index

    3 publications

    453 citations

  8. Amirkabir University of Technology

    Tehran, Iran

    3 h-index

    5 publications

    234 citations

1–8 of 189

Venues

  1. 11

    h-index

  2. Proceedings of the American Mathematical Society

    PROC · 8 publications · 270 citations

    8

    h-index

  3. SIAM Journal on Mathematical Analysis

    6 publications · 469 citations

    6

    h-index

  4. arXiv (Cornell University)

    Repository · 6 publications · 120 citations

    6

    h-index

  5. Mathematics of Computation

    MCOM · 6 publications · 352 citations

    6

    h-index

1–5