Search

The article reviews the book "Gödel's Unpublished Papers on Foundations of Mathematics," by Kurt Gödel.

The second and major section of the volume is devoted to what the editor describes as the autograph record of Newton's attempts, here published for the first time, to restore the methods of discovery of the ancient geometers. That the classical synthetic proofs were founded on a prior analysis seemed clear from the accounts given by Pappus of the works collectively described by him as 'The treasury of analysis'. Despite the attempt of Fermat, Euclid's Porisms, a key work of this collection (known only through the account of Pappus), remained essentially unexplained. Whiteside points to the conjecture, that the primary function of' The treasury of analysis' was to provide a collection of basic locus-constructions and curve properties of practical use to geometers in the solution of problems, as Newton's most significant achievement; the intersecting loci of the ancients were the equations of later mathematics. In his restoration of Euclid's Porisms, Newton employed the one-to-one correspondence defined by the general bilinear transformation--in effect, a theory of involution--and then, abandoning his role as classical interpreter, developed an innovatory treatise on curves, which includes, as its principal result, a projective classification of curves of the third degree. From David Gregory, who was allowed to read Newton's papers on the occasion of a visit in 1694, we learn that Newton intended to append his restoration of the geometry of the ancients and his method of quadratures to his projected new edition of the Principia. [ABSTRACT FROM AUTHOR]

The article reviews the book "Making Mathematics With Needlework: Ten Papers Ten Projects," edited by Sarah-Marie Belcastro and Carolyn Yackel.

The article reviews the book "Collected Papers," Vol. I, by Atle Selberg.

Reviews the book 'Mathematical Papers of Sir William Rowan Hamilton,' Volume 4: Geometry, Analysis, Astronomy, Probability and Finite Differences, Miscellaneous, written by William Rowan Hamilton and edited by Brendan Scaife.

Reviews the books `The Collected Papers of Albert Einstein. Volume II: The Swiss Years: Writings, 1900-1909,' by Albert Einstein, edited by John Stachel and `The Collected Papers of Albert Einstein. Volume II: The Swiss Years: Writings, 1900-1909.English Translation,' by Albert Einstein, translated by Anna Beck.

Reviews the book "A Selection of Early Statistical Papers of J. Neyman."

Reviews the book "Selected Papers of E.S. Pearson."

The article reviews the book "Philosophical Papers: Metaphysics, Mathematics, and Meaning," by N. Salmon.

Reviews the book `Selected Papers of F.W.J. Olver,' Parts I and II, edited by Roderick Wong.

The article reviews the book "Gödel's Unpublished Papers on Foundations of Mathematics," by Kurt Gödel.

The article reviews the book "Real World Operations Research: The Woolsey Papers," by Robert Woolsey.

Reviews the book "Selected Papers," edited by Errett Bishop and John Wermer.

A review of the book "Essential Mathematics for Political and Social Research," by Jeff Gill is presented.

Reviews three books on mathematics. "Pell's Equation," by Edward J. Barbeau; "Elements of Number Theory," by John Stillwell; "Surveys in Number Theory: Papers From the Millennial Conference on Number Theory," edited by M.A. Bennett et al.

Reviews the book "Paradox and Paraconsistency: Conflict Resolution in the Abstract Sciences," by John Woods.

The article reviews the book "The Undecidable: Basic Papers on Undecidable Propositions, Unsolvable Problems and Computable Functions," edited by Martin Davis.

The article reviews the book "Visualization, Explanation and Reasoning Styles in Mathematics Series: Synthese Library," Vol. 327, edited by Paolo Mancosu, Klaus Frovin Jorgensen, and Stig Andur Pedersen.

The article reviews the book "Visualization, Explanation and Reasoning Styles in Mathematcs," edited by P. Mancosu, K. F. Jorgensen, and S. A. Pedersen.

The article reviews the book "Mathematics of Quantum Computation," edited by Ranee K. Brylinski and Goong Chen.

Difference Equations, Discrete Dynamical Systems and Applications: ICDEA 23, Timisoara, Romania, July 24-28, 2017: by edited by Saber Elaydi, Christian Pötzsche, and Adina Luminita Sasu, (Springer Proceedings in Mathematics & Statistics, ISBN 978-3-030-20015-2 ISBN 978-3-030-20016-9 (eBook) https://doi.org/10.1007/978-3-030-20016-9, 382 pages), 1st ed. 2019 Edition Difference Equations, Discrete Dynamical Systems and Applications: ICDEA 23, Timisoara, Romania, July 24-28, 2017, by edited by Saber Elaydi, Christian Pötzsche, and Adina Luminita Sasu, (Springer Proceedings in Mathematics & Statistics, ISBN 978-3-030-20015-2 ISBN 978-3-030-20016-9 (eBook) https://doi.org/10.1007/978-3-030-20016-9, 382 pages), 1st ed. 2019 Edition The book I Difference Equations, Discrete Dynamical Systems and Applications i , edited by Saber Elaydi, Christian Pötzsche and Adina Luminita Sasu, represents selected contributions from the 23rd International Conference on Difference Equations and Applications (ICDEA 2017), which was held at West University of Timisoara, Romania, July 24-28, 2017. These papers provide various aspects in different spaces such as Banach Space, Hilbert Space, or Euclidean Space, to analyze the dynamical properties of difference equations, including the delayed difference equations, nonautonomous difference equations, cubic difference equations and so on. [Extracted from the article]

Reviews the book 'Surveys in Combinatories: Invited Papers for the 9th British Combinatorial Conference,' edited by E. Keith Lloyd.

The Lévy-driven affine short rate models follow and a chapter on the completeness of the presented Lévy term structure models concludes. In conclusion, the book by M. Barski and J. Zabczyk on modelling fixed income markets based on Lévy processes is a textbook that fills perfectly a gap in the existing mathematical finance literature. The applications of Lévy processes in mathematical finance go back to the seminal paper of Merton ([4]), entitled "Option pricing when underlying stock returns are discontinuous", which galvanized the research landscape on Lévy models with respect to financial applications. [Extracted from the article]

The article reviews the book "An Introduction to Stein's Method and Stein's Method and Applications," edited by A. D. Barbour and L. H. Y. Chen.

By Andrei Bourchtein and Ludmila Bourchtein, pp. 346, £54.99 (paper), ISBN 978-9-91159-221-8, Springer Verlag (2021) Reference 1 J. L. Walsh, History of the Riemann Mapping Theorem, Amer. Math. [Extracted from the article]

(second edition) by Thomas A. Garrity, pp. 388, £22.99 (paper), ISBN 978-1-00900-919-5, Cambridge University Press (2021). [Extracted from the article]

By Karen Hunger Parshall, pp. 640, £40 (paper), ISBN 978-0-69123-524-0, Princeton University Press (2022). [Extracted from the article]

The article reviews the book "Kurt Gödel and the Foundations of Mathematics: Horizons of Truth," by Matthias Baaz, Christos H. Papadimitriou, Hilary W. Putnam, Dana S. Scott, and Charles L. Harper.

The article presents a review of the book "Survey of Applicable Mathematics," edited by Karel Rektorys.

by Andrew Witt, pp. 428, £23.15, (paper), ISBN 978-0-262-54300-2, Massachusetts Institute of Technology Press (2021)By Tony CrillyReported by Author [Extracted from the article]

The article reviews the book "Feasible Mathematics II," edited by Peter Clote and Jeffrey Remmel.

The article presents information on the book "Mathematics for Schools." In November 1978 a Committee of Enquiry was set up by the DES to look into the teaching of mathematics in schools. The Institute's evidence was submitted in February 1979 and is presented in this paper under the topic headings as requested by the Committee, the basic computational skills of school children, the supply and training of those who teach mathematics, and others.

Reviews the non-fiction book 'The New Elements of Mathematics by Charles S. Peirce,' edited by Carolyn Eisele.

The article reviews the book "Mathematical Papers," edited by E. Hastings Moore, Oskar Bolza, Heinrich Maschke and Henry S. White.

The article reviews the book "A Journey in Mathematics Education Research: Insights From the Work of Paul Cobb" volume 48 edited by Erna Yackel, Koeno Gravemeijer, and Anna Sfard.

The article reviews the book "Geršgorin and His Circles," by Richard S. Varga.

The article reviews the book "The Philosophy of Mathematical Practice," edited by Paolo Mancosu.

Reviews the book "Origami Design Secrets: Mathematical Methods for an Ancient Art," by Robert J. Lang.

by Jorg Bewersdorff, pp. 568, £42.99 (paper), ISBN 978-0-36754-841-4, CRC/Taylor and Francis (2021)By René L. SchillingReported by Author [Extracted from the article]

Reviews the book 'Comprehensive School Mathematics Program: Probability and Statistics,' edited by Richard D. Armstrong and Pamela Pedersen.

Presents information on several books related to industrial and applied mathematics. `Differential and Symplectic Topology of Knots and Curves,' edited by S. Tabachnikov; `DNA Based Computers II,' edited by Laura F. Landweber and Eric B. Baum; `Equilibrium and Advanced Transportation Modelling,' edited by Patrice Marcotte and Sang Nguyen.