Michael Spivak

4.6k total citations · 1 hit paper
9 papers, 2.4k citations indexed

About

Michael Spivak is a scholar working on Mathematical Physics, Computational Theory and Mathematics and Literature and Literary Theory. According to data from OpenAlex, Michael Spivak has authored 9 papers receiving a total of 2.4k indexed citations (citations by other indexed papers that have themselves been cited), including 2 papers in Mathematical Physics, 2 papers in Computational Theory and Mathematics and 1 paper in Literature and Literary Theory. Recurrent topics in Michael Spivak's work include Mathematics, Computing, and Information Processing (2 papers), Advanced Numerical Analysis Techniques (1 paper) and Mathematical and Theoretical Analysis (1 paper). Michael Spivak is often cited by papers focused on Mathematics, Computing, and Information Processing (2 papers), Advanced Numerical Analysis Techniques (1 paper) and Mathematical and Theoretical Analysis (1 paper). Michael Spivak collaborates with scholars based in United States. Michael Spivak's co-authors include Arthur D. Kramer and has published in prestigious journals such as American Mathematical Monthly, Topology and CERN Document Server (European Organization for Nuclear Research).

In The Last Decade

Michael Spivak

8 papers receiving 2.0k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

A Comprehensive Introduction to Differential Geometry.

1973 2.2k citations Arthur D. Kramer, Michael Spivak American Mathematical Monthly profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Michael Spivak United States	5	731	677	394	337	335	9	2.4k
Manfredo do Carmo Brazil	17	1.3k 1.8×	1.1k 1.6×	230 0.6×	246 0.7×	449 1.3×	46	2.0k
Ulrich Pinkall Germany	31	972 1.3×	952 1.4×	243 0.6×	1.7k 5.1×	227 0.7×	83	3.4k
Jean‐David Benamou France	22	850 1.2×	308 0.5×	281 0.7×	600 1.8×	80 0.2×	50	2.4k
Marcel Berger France	21	1.3k 1.8×	1.2k 1.8×	594 1.5×	162 0.5×	584 1.7×	49	2.4k
Andrei Agrachev Italy	24	1.0k 1.4×	890 1.3×	440 1.1×	104 0.3×	448 1.3×	104	2.8k
Peter W. Michor Austria	20	900 1.2×	1.4k 2.1×	1.2k 3.1×	303 0.9×	454 1.4×	104	2.8k
Theodore Frankel United States	11	380 0.5×	427 0.6×	234 0.6×	162 0.5×	252 0.8×	17	1.3k
Wilfrid Gangbo United States	23	1.3k 1.8×	548 0.8×	332 0.8×	171 0.5×	120 0.4×	54	2.0k
Wilhelm Klingenberg Germany	23	1.3k 1.8×	1.2k 1.8×	701 1.8×	173 0.5×	534 1.6×	90	2.5k
Harley Flanders United States	18	310 0.4×	285 0.4×	207 0.5×	187 0.6×	143 0.4×	98	1.7k

Countries citing papers authored by Michael Spivak

Since Specialization

Citations

This map shows the geographic impact of Michael Spivak's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Michael Spivak with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Michael Spivak more than expected).

Fields of papers citing papers by Michael Spivak

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Michael Spivak. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Michael Spivak. The network helps show where Michael Spivak may publish in the future.

Co-authorship network of co-authors of Michael Spivak

This figure shows the co-authorship network connecting the top 25 collaborators of Michael Spivak. A scholar is included among the top collaborators of Michael Spivak based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Michael Spivak. Michael Spivak is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

9 of 9 papers shown

1.

Spivak, Michael. (2019). Calculus on manifolds a modern approach to classical theorems of advanced calculus. 25 indexed citations

2.

Spivak, Michael. (2018). Calculus On Manifolds. Medical Entomology and Zoology. 67 indexed citations

3.

Spivak, Michael. (1995). Calculus: càlcul infinitesimal. Dialnet (Universidad de la Rioja).

4.

Spivak, Michael. (1990). The joy of TEX : a gourmet guide to typesetting with the AMS-TEX macro package. CERN Document Server (European Organization for Nuclear Research). 15 indexed citations

5.

Spivak, Michael. (1984). Answer Book for Calculus. 1 indexed citations

6.

Spivak, Michael. (1982). The joy of TEX : a gourmet guide to typesetting technical text by computer : version 0 : with numerous explicit illustrations. American Mathematical Society eBooks. 1 indexed citations

7.

Spivak, Michael, et al.. (1979). Cálculo en variedades. Dialnet (Universidad de la Rioja). 1 indexed citations

8.

Kramer, Arthur D. & Michael Spivak. (1973). A Comprehensive Introduction to Differential Geometry.. American Mathematical Monthly. 80(4). 448–448. 2176 indexed citations breakdown →

9.

Spivak, Michael. (1967). Spaces satisfying Poincaré duality. Topology. 6(1). 77–101. 75 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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