David Klein's Publications:  link to Google Scholar  link to mathscinet  link to INSPIRE link to ResearchGate


MATHEMATICS AND PHYSICS PUBLICATIONS

Legendre Expansions of Products of Functions with Applications to Nonlinear Partial Differential Equations (with Matt Levy and Rabia Djellouli), submitted for publication (2020). For a preprint click here. or see ArXive 2110.01372 [math.NA]

Polar Jet Stream Fluctuations in an Energy Balance Model (with Cord Perillo and Rabia Djellouli)  Climate Dynamics, Vol. 60, p. 2581-2596 (2023) , DOI 10.1007/s00382-022-06452-5. (Open Access) For a preprint click here.

The Dirac equation in curved spacetime, a guide for calculations (with Peter Collas)  SpringerBriefs in Physics, Springer International Publishing, Number of Pages: VI, 109, (2019) DOI: 10.1007/978-3-030-14825-6   First draft: The Dirac equation in general relativity, a guide for calculations, ArXive 1809.02764 [gr-qc]

Dirac Particles in a Gravitational Shock Wave (with Peter Collas), Classical and Quantum Gravity, Vol. 35, No. 12, 125006 (31 pp) (2018), DOI: 10.1088/1361-6382/aac144.  For a preprint click here, or see ArXive 1801.02756 [gr-qc]

Pre-big bang geometric extensions of inflationary cosmologies (with Jake Reschke*), Annales Henri Poincaré, Vol. 19, p. 565-606 (2018), DOI: 10.1007/s00023-017-0634-6, SpringerNature Open Access.  For a preprint click here, or see ArXive: 1604.06372 [math-ph]

Velocity addition formulas in Robertson-Walker spacetimes (with Jake Reschke*), Journal of Mathematical Physics, Vol 56, 072501 (2015) DOI: 10.1063/1.4926352. For a preprint click here, or see ArXive: arXiv:1503.05208 [gr-qc] 

Maximal Fermi charts and geometry of inflationary universes, Annales Henri Poincaré, Vol. 14, p. 1525 - 1550, (2013) DOI: 10.1007/s00023-012-0227-3. For a preprint click here, or see ArXive: arXiv:1210.7651 [math-ph]

Relative velocities, geometry, and expansion of space (with Vicente J. Bolós and Sam Havens*), Recent Advances in Cosmology, NOVA Science Publishers, Inc. (2013) ArXive: arXive:1210.3161 [gr-qc]

Relative velocities for radial motion in expanding Robertson-Walker spacetimes (with Vicente J. Bolós), General Relativity and Gravitation, Vol. 44, p. 1361-1391 (2012) DOI: 10.1007/s10714-012-1344-5. For a preprint click here, or see ArXive: arXiv:1106.3859v1 [gr-qc]

Grand canonical ensembles in general relativity (with Wei-Shih Yang), Mathematical Physics, Analysis, and Geometry, Vol. 15, p. 61 - 83 (2012) DOI: 10.1007/s11040-011-9103-5. For a preprint click here, or see ArXive: arXiv:1009.3846v2 [math-ph]

Embeddings and time evolution of the Schwarzschild wormhole (with Peter Collas) American Journal of Physics, Vol. 80, p. 203-210 (2012); DOI: 10.1119/1.3672848. For a preprint click here, or see ArXive: arXiv:1107.4871 [gr-qc]

Fermi coordinates, simultaneity, and expanding space in Robertson-Walker cosmologies (with Evan Randles*), Annales Henri Poincaré, Vol. 12, p. 303-328 (2011),  DOI: 10.1007/s00023-011-0080-9. For a preprint click here, or see ArXive: arxiv.org/abs/1010.0588
Recessional velocities and Hubble's Law in Schwarzschild-de Sitter space (with Peter Collas)  Physical Review D, Vol. 81,  063518 (2010), DOI: 10.1103/PhysRevD.81.063518, Archive: arxiv.org/abs/1001.1875 [gr-qc] Erratum (2011)

Exact Fermi coordinates for a class of spacetimes (with Peter Collas) Journal of Mathematical Physics Vol. 51, 022501, (10 pp) (2010).  This article may be downloaded for personal use only, and may be found online at the AIP website here. Any other use requires prior permission of the author and the American Institute of Physics. Copyright 2010, American Institute of Physics. DOI:10.1063/1.3298684, ArXive: arXiv:0912.2779v1

Timelike Killing Fields and Relativistic Statistical Mechanics  (with  Peter Collas) Classical and Quantum Gravity, Vol. 26,  no. 4, 045018 (16 pp) (2009)  DOI:10.1088/0264-9381/26/4/045018 ArXive:: arXiv:0810.1776v2 [gr-qc],  For a preprint click here.

General Transformation Formulas for Fermi-Walker Coordinates (with  Peter Collas) Classical and Quantum Gravity, Vol. 25, no. 14, 145019 (17pp) (2008) DOI: 10.1088/0264-9381/25/14/145019, ArXive: arXiv.org/abs/0712.3838v4 [gr-qc]

A Statistical Mechanical Problem in Schwarzschild Spacetime, (with Peter Collas) General Relativity and Gravitation Vol. 39, no. 5, p. 737-755 (2007) Preprint DOI: 10.1007/s10714-007-0416-4, ArXive: arXiv:gr-qc/0603086v3

Causality Violating Geodesics in Bonnor's Rotating Dust Metric, (with Peter Collas)  General Relativity and Gravitation, Vol. 36, no. 11, p. 2549-2557 (2004) DOI: 10.1023/B:GERG.0000046853.99745.e4, ArXive: arXiv.org/abs/0811.2468, For a preprint click here.

A Simple Criterion for Nonrotating Reference Frames, (with Peter Collas) General Relativity and Gravitation, Vol. 36, no. 6, p. 1493-1499  (2004), DOI: 10.1023/B:GERG.0000022585.68675.38, Preprint, ArXive: arXiv.org/abs/0811.2474

Frame Dragging Anomalies for Rotating Bodies (with Peter Collas) General Relativity and Gravitation, Vol. 36,  5, p. 1197-1206 (2004) DOI: 10.1023/B:GERG.0000018286.98387.64, Preprint, updated at ArXive: arXiv.org/abs/0811.2471

Analyticity of the free energy of the Ising model on the hierarchical modified Koch curve,  (with Leonid Malozemov, Ramin Vakilian) Far East Journal for Dynamical Systems Vol. 2, p. 21-39 (2000).

An "FKG Equality" with Applications to Random Environments, (with Wei-Shih Yang) Statistics and Probability Letters, Vol. 46, p. 203-209 (2000)

Convergence of Hamiltonian Systems to Billiards, (with Peter Collas and Hans-Peter Schwebler)  Chaos. An Interdisciplinary Journal of Nonlinear Science, Vol. 8, p. 466-474 (1998)

An Ergodic Adding Machine on the Cantor Set, (with Peter Collas) L'Enseignement Mathematique, Vol. 40, p.249-266 (1994). Preprint

A Generalization of Poisson Convergence to 'Gibbs Convergence' with Applications to Statistical Mechanics, (with Lincoln Chayes) Helvetica Physica Acta, Vol.  67  p.30-42 (1994). For a preprint click here.

Characterization of First Order Phase Transitions for Superstable Interactions in Classical Statistical Mechanics, (with Wei-Shih Yang) This Extended Version (pdf file) includes more details of proofs than the published version in the Journal of Statistical Physics, Vol. 71 p. 1043-1061 (1993).

Absence of First Order Phase Transitions for Antiferromagnetic Systems, (with Wei-Shih Yang) Journal of Statistical Physics, Vol. 70  p. 1391-1400 (1993). DOI: 10.1007/BF01049441

Classical Antiferromagnets: Correlation Inequalities and Remarks on the Phase Diagram, (with Wei-Shih Yang) Proceedings of the Conference on Probability Models in Mathematical Physics, (Colorado Springs 1990) World Scientific Publishing Co. (1991).

Low Temperature Smoothness of the Pressure for Antiferromagnets and Other Models, (with Wei-Shih Yang) Journal of Mathematical Physics, Vol. 32, p. 2181-2185 (1991). Preprint

Some Correlation Inequalities for Ising Antiferromagnets, (with Wei-Shih Yang) Journal of Statistical Physics,  Vol. 57, p. 1049-1058 (1989). Preprint

Self-Repelling Processes Associated with Brownian Motions, (with Wei-Shih Yang) Journal of Functional Analysis, Vol. 84, p.322-342 (1989).

Phase Transition for a One-Dimensional Lattice Gas with Hard-Core, (with Wei-Shih Yang) Journal of Statistical Physics, Vol. 52, p. 735-745 (1988) DOI: 10.1007/BF01019727.

A Note on the Critical Dimension for Weakly Self-Avoiding Walks, (with Wei-Shih Yang) Probability Theory and Related Fields, Vol. 79, p. 99-114 (1988).

Absence of Phase Transitions for Continuum Models of Dimension  d > 1, (with Wei-Shih Yang)  Journal of Mathematical Physics, Vol. 29, p. 1130-1133 (1988). DOI: 10.1063/1.527953

A Class of Continuum Models with no Phase Transitions, Journal of Mathematical Physics, Vol. 27, p. 2872-2875 (1986). DOI: 10.1063/1.527264

Uniqueness of Continuum One-dimensional Gibbs States for Slowly Decaying Interactions, Journal of Statistical Physics, Vol. 43 no.s 1/2 p. 207-218 (1986).

Uniqueness of One-Dimensional Continuum Gibbs States, Communications in Mathematical Physics, Vol. 97, p. 595-604 (1985).

Convergence of Grand Canonical Gibbs Measures, Communications in Mathematical Physics, Vol. 92, p. 295-308 (1984).

Dobrushin Uniqueness Techniques and the Decay of Correlations in Continuum Statistical Mechanics,  Communications in Mathematical Physics, Vol. 86, p. 227-246 (1982).


*Sam Havens (Masters Thesis) and Evan Randles (Masters Thesis), and Jake Reshke (Masters Thesis) were CSUN graduate students at the time of the writing of the articles.

HISTORY OF MATHEMATICS EDUCATION PUBLICATIONS

A quarter century of US 'math wars' and political partisanship, (c) Taylor & Francis, 2007. This is the author's version of the work. It is posted here by permission of Taylor & Francis for personal use, not for redistribution. The definitive version was published in BSHM Bulletin: Journal of the British Society for the History of Mathematics, Volume 22 Issue 1, p. 22-33, January 2007 doi:10.1080/17498430601148762 (http://dx.doi.org/10.1080/17498430601148762)


A Brief History of American K-12 Mathematics Education in the 20th Century, preprint, Chapter 7 of Mathematical Cognition: A Volume in Current Perspectives on Cognition, Learning, and Instruction, p. 175-225. Edited by James Royer, Information Age Publishing, 2003


High Achievement in Mathematics: Lessons from Three Los Angeles Elementary Schools, a report commissioned by the Brookings Institution, August 2000.  Published as Chapter 8 in Bridging the Achievement Gap, Edited by John E. Chubb and Tom Loveless, Brookings Institution Press, 2002.


What's at Stake in the K-12 Standards Wars: A Primer for Educational Policy Makers, Sandra Stotsky (editor), Peter Lang Press, Chapter 13:National Science Foundation Systemic Initiatives:How a small amount of federal money promotes ill-designed mathematics and science programs in K-12 and undermines local control of educationby Mike McKeown, David Klein, and Chris Patterson, 2000


Book Review:  A history of mathematics education during the twentieth century, by Angela Lynn Evans Walmsley, University Press of America, Inc., 2007; Reviewed in: BSHM Bulletin: Journal of the British Society for the History of Mathematics, Volume 24 pp 59-61 (2009)

Book Review: The Death and Life of the Great American School System: How Testing and Choice Are Undermining Education, by Diane Ravitch, Basic Books, 2010, Reviewed in Educational Horizons, Vol. 88, No. 4, Summer 2010, p. 194-198


MATHEMATICS TEACHER EDUCATION BOOK CHAPTERS


Contributing Editor and Contributing Writer, Mathematics Chapter, In: Core Knowlege Grade 5 Teacher Handbook, Core Knowledge Foundation, Charlottesville, Virginia pp 419-550, April, 2006

Contributing Editor and Contributing Writer, Mathematics Chapter, In: Core Knowlege Grade 4 Teacher Handbook, Core Knowledge Foundation, Charlottesville, Virginia pp 349-454, December, 2005

Contributing Editor and Contributing Writer, Mathematics Chapter, In: Core Knowlege Grade 3 Teacher Handbook, Core Knowledge Foundation, Charlottesville, Virginia pp 277-370, August, 2005

Contributing Editor and Contributing Writer, Mathematics Chapter, In: Core Knowlege Grade 2 Teacher Handbook, Core Knowledge Foundation, Charlottesville, Virginia pp 335-408, April 2005

Contributing Editor and Contributing Writer, Mathematics Chapter, In: Core Knowlege Grade 1 Teacher Handbook, Core Knowledge Foundation, Charlottesville, Virginia pp 259-316, December 2004

Contributing Editor and Contributing Writer, Mathematics Chapter, In: Core Knowlege Grade K Teacher Handbook, Core Knowledge Foundation, Charlottesville, Virginia pp 215-262, October 2004

EVALUATION OF STATE K-12 MATHEMATICS STANDARDS
The State of State Math Standards 2005, by David Klein
with Bastiaan J. Braams, Thomas Parker, William Quirk, Wilfried Schmid, and W. Stephen Wilson
Technical assistance from Ralph A. Raimi and Lawrence Braden
Analysis by Justin Torres
Foreword by Chester E. Finn, Jr.


What's at Stake in the K-12 Standards Wars: A Primer for Educational Policy Makers, Sandra Stotsky (editor), Peter Lang Press, Chapter 3: Standards-Based Mathematics Assessments: Appearances May be Deceiving, by Paul Clopton, Wayne Bishop, and David Klein, 2000

CLIMATE CHANGE

Capitalism and Climate Change: The Science and Politics of Global Warming, by David Klein, illustrated and edited by Stephanie McMillan, (2015).  Also available from Amazon

Book Review: Capitalism, Green or Otherwise, Is "Ecological Suicide"  Review of Green Capitalism: the God that Failed, by Richard Smith,  World Economics Association eBooks, 2015, published in Truthout! July 21, 2015

Book Review:  Green Capitalism: the God that Failed, by Richard Smith, World Economics Association eBooks, 2015; Reviewed in: Climate & Capitalism: An Ecosocialist Journal

Climate Change and Future Katrinas, Chapter in: Hurricane Katrina and the Lessons of Disaster Relief, edited by Michael Powelson, Cambridge Scholars Publishing, 2017

The Limits of Green Energy Under Capitalism, Truthout, July 17, 2018

ACADEMIC FREEDOM

A Multiyear Zionist Censorship Campaign by David Klein, Chapter 10 in: We Will Not Be Silenced: The Academic Repression of Israel's Critics,
Edited by William I. Robinson & Maryam S. Griffen, Published by Pluto Press (UK) and AKPress (USA), copyright 2017.  Available from Amazon here and here.

Why is Norman Finkelstein Not Allowed to Teach? Works and Days, special issue: Academic Freedom and Intellectual Activism in the Post-9/11 University, Vols 26 & 27, pp. 307- 322 (2009).


More articles on mathematics education appear on David Klein's homepage