https://sandromagri.info/en/categories/mathematics/index.htmlHugoensandro@freenetst.it (Sandro Magrì)sandro@freenetst.it (Sandro Magrì)2020- All rights reserved.Fri, 15 May 2020 12:32:16 +0200https://sandromagri.info/en/math123/bookslist/math010/index.htmlSat, 09 May 2020 12:32:16 +0200sandro@freenetst.it (Sandro Magrì)https://sandromagri.info/en/math123/bookslist/math010/index.htmlWhat is Mathematics? The question deliberately recalls the title of a great classic of high disclosure science, Whats is Mathematics?, published in 1941 by the great mathematician richard Courant with Herbert Robbins, reprinted countless times and revised in 1996 by mathematician and popularizer Ian Stewart. The work is presented as an introductory book to mathematics and its methods, accessible intends to appeal to a very wide audience: college and high school students, secondary school professors, a more general audience of educated and lay people who only studied mathematics in high school, although penetration and understanding of fundamental concepts exposed in the book requires some intellectual effort.https://sandromagri.info/en/math123/bookslist/math015/index.htmlSat, 09 May 2020 12:32:16 +0200sandro@freenetst.it (Sandro Magrì)https://sandromagri.info/en/math123/bookslist/math015/index.htmlThe distinction between pure and applied mathematics is not scientific but only social Vladimir Arnold, in Topological problems of the theory of wave propagation,par. 1 Apology, russ. Math. Surv. 51 1 (1996) Mathematics is that part of physics where experiments cost little Vladimir Arnold, in On Teaching Mathematics, russ. Math. Surv. 53 1 (1998) Natural philosophy is written in this very large book which continually stands open before our eyes, I say the universe, but you can’t understand if you don’t first learn to understand the language and know the characters in which it is written. He is written in mathematical language, and the characters are triangles, circles and other geometric figures, without whose means it is impossible to humanly understand a word of it; without these it is a vain wandering through a dark labyrinth. Galileo Galilei (The Assayer, 1623)https://sandromagri.info/en/math123/bookslist/math025/index.htmlSat, 09 May 2020 12:32:16 +0200sandro@freenetst.it (Sandro Magrì)https://sandromagri.info/en/math123/bookslist/math025/index.htmlInsights A modern mathematics textbook, with its abstract language, has always been a tough read for non-mathematicians, and a shock for college freshmen encountering it for the first time. As e.g., Nobel laureate Chen Ning Yang, a theoretical physicist and mathematician, said, There are only two kinds of math books: those you can’t read beyond the first sentence, and those you can’t read beyond the first page. To facilitate understanding of the subject and access to university texts, there are many books introductory to mathematical language and more advanced notions, among which we mention a few. They range from the more popular volumes, such as Ian Stewart’s, the author’s best and perhaps for this the only one not translated into Italian among the dozens of books published, to more advanced texts.https://sandromagri.info/en/math123/bookslist/math030/index.htmlWed, 13 May 2020 12:32:16 +0200sandro@freenetst.it (Sandro Magrì)https://sandromagri.info/en/math123/bookslist/math030/index.htmlDRAFT - WORK IN PROGRESS ​ Introduction Disclosure for All Insights PART I: INTRODUCTIONS AND HIGH DISCLOSURE Geometry David Hilbert,S.Cohn-Vossen - Geometry and the imagination transl.it. Intuitive Geometry H.S.M. Coxeter - Introduction to Geometry - 2e (1961) John Stillwell - The Four Pillars of Geometry V.V. Prasolov, V.M. Tikhomirov - Geometry Irving Adler - A New Look at Geometry Saul Stahl - Geometry from Euclid to Knots Maciej Dunajski - Geometry. A Very Short Introduction (2022) Glen van Brummelen - Trigonometry. a Very Short Introduction (2020) Marco Andreatta - The shape of things. The alphabet of geometry (2019) Georg Glaeser - Geometry and Its Applications in Arts, Nature and Technology Eli Maor, Eugen Jost - Beautiful Geometry (2014) transl.it. The Art of Geometry Ferdinando Arzarello, C.Dané, L.Lovera, M.Mosca, N.Nolli, A.Ronco - From Euclid’s geometry to the geometry of the Universe John Barnes - Gems of Geometry - 2nd ed. (2012) Maria Dedò - Geometries Geometry and Linear Algebra James Nearing - Mathematical Tools for Physics Byron, Fuller - Mathematics for Classic & Quantum Physics David A. Brannan, Matthew F. Esplen, Jeremy Gray - Geometry Gerald Farin, Dianne Hansford - Practical Linear Algebra.A Geometry Toolbox Differential geometry Jeffrey R. Weeks - The Shape of Space 3ed (2019) Peter Collier - A Beginner’s Guide to Differential Forms (2021) Tristan Needham - Visual Differential Geometry and Forms: : A Mathematical Drama in Five Acts (2021) John McCleary - Geometry from a Differentiable Viewpoint (2012) Topology Richard Earl - Topology: A Very Short Introduction H. Graham Flegg - From Geometry to Topology Robert Messer, Philip Straffin - Topology now (2006) David S. Richeson - Euler’s Gem: The Polyhedron Formula and the Birth of Topology V.V. Prasolov - Intuitive Topology Sue E. Goodman - Beginning Topology Paul Alexandroff - Elementary Concepts In Topology Bradford H. Arnold - Intuitive Concepts in Elementary Topology Stephen Barr - Experiments in Topology Nodes and Graphs between topology and discrete mathematics Colin Adams - The Knot Book: An Elementary Introduction to the Mathematical Theory of Knots David W. Farmer, Theodore B. Stanford - Knots and surfaces Alexei Sossinsky, Giselle Weiss - Knots: Mathematics with a Twist Gary Chartrand - Introductory Graph Theory Nora Hartsfield, Gerhard Ringel - Pearls in Graph Theory: A Comprehensive Introduction Peter M. Higgins - The mathematics of social networks. introduction to graph theory Geometry and Physics Hermann Weyl - Space Time Matter (1952) George F. R. Ellis - Flat and Curved Space-Times (2001) Roger Penrose - The Road to Reality. A Complete Guide to the Laws of the Universe (2007) Pietro G. Frè - A Conceptual History of Space and Symmetry. from Plato to the Superworld (2019) Carriers and Tensors Feynman’s Lectures on Physics, vol. I ch. 11,20 vol. II ch. 31,42 James Nearing - Mathematical Tools for Physics Altland, von Delft- Mathematics for Physicists Nadir Jeevanjee - Introduction to Tensors & Group Theory For Physicists Daniel Fleisch - A Student’s Guide to Vectors and Tensors H. M Schey - Div, Grad, Curl, and All That: An Informal Text on Vector Calculus James G. Simmonds - A Brief on Tensor Analysis Articles, lecture notes and online resources:https://sandromagri.info/en/math123/bookslist/math040/index.htmlWed, 13 May 2020 12:32:16 +0200sandro@freenetst.it (Sandro Magrì)https://sandromagri.info/en/math123/bookslist/math040/index.htmlDRAFT - WORK IN PROGRESS SYMMETRY IN MATHEMATICS AND SCIENCE Symmetry in general Hermann Weyl - Symmetry (1989) Eugene Paul Wigner - Symmetries and Reflections: Scientific Essays (1979) Gian Carlo Ghirardi - Symmetries. in art and science (2019) Gian Carlo Ghirardi - Symmetries. principles and natural forms (2019) Elena Castellani - Symmetry and Nature. From harmonies of figures to invariances of laws (2000) Vincenzo Barone - The order of the world. symmetries in physics from Aristotle to Higgs (2013) Joe Rosen - Symmetry Rules How Science and Nature Are Founded on Symmetry (2008) Peter Joseph Fré - A Conceptual History of Space and Symmetry. from Plato to the Superworld (2018) Kathleen Brading, Elena Castellani (eds.) - Symmetries in Physics: Philosophical Reflections (2010) Klaus Mainzer - Symmetry and Complexity. The Spirit and Beauty of Nonlinear Science (2005) György Darvas - Symmetry. Cultural-historical and Ontological Aspects of Science-Arts Relations Articles, lecture notes and online resources:https://sandromagri.info/en/math123/bookslist/math050/index.htmlFri, 15 May 2020 12:32:16 +0200sandro@freenetst.it (Sandro Magrì)https://sandromagri.info/en/math123/bookslist/math050/index.htmlDRAFT - WORK IN PROGRESS Dynamic Systems, Chaos and Fractals: high disclosure and introductory readings Manfred Schroeder - Fractals, Chaos, Power Laws David P. Feldman - Chaos and Fractals: An Elementary Introduction (2012) Michael Frame, Amelia Urry - Fractal worlds_ grown, built, and imagined- (2016) Heinz O. Peitgen, Peter H. Richter - The beauty of fractals Kenneth Falconer - Fractals: A Very Short Introduction (2013)https://sandromagri.info/en/phys/bookslist/phys040/index.htmlFri, 15 May 2020 12:32:16 +0200sandro@freenetst.it (Sandro Magrì)https://sandromagri.info/en/phys/bookslist/phys040/index.htmlDRAFT - WORK IN PROGRES … Important Note: This page is closely related to PROBABILITY, CHAOS AND FRACTALS in the recommended reading lists in Mathematics, they should therefore be consulted together. Chaos and scale invariance Manfred Schroeder - Fractals, Chaos, Power Laws. Minutes from an Infinite Paradise Grigory I. Barenblatt - Scaling (2003) Richard N. Henriksen - Scale Invariance. self-similarity of the Physical World (2015)https://sandromagri.info/en/phys/bookslist/phys050/index.htmlFri, 15 May 2020 12:32:16 +0200sandro@freenetst.it (Sandro Magrì)https://sandromagri.info/en/phys/bookslist/phys050/index.htmlDRAFT - WORK IN PROGRESS Dynamic Systems, Chaos and Fractals: high disclosure and introductory readings Manfred Schroeder - Fractals, Chaos, Power Laws David P. Feldman - Chaos and Fractals: An Elementary Introduction (2012) Michael Frame, Amelia Urry - Fractal worlds_ grown, built, and imagined- (2016) Heinz O. Peitgen, Peter H. Richter - The beauty of fractals Kenneth Falconer - Fractals: A Very Short Introduction (2013)https://sandromagri.info/en/phys/bookslist/phys060/index.htmlFri, 15 May 2020 12:32:16 +0200sandro@freenetst.it (Sandro Magrì)https://sandromagri.info/en/phys/bookslist/phys060/index.htmlDRAFT - WORK IN PROGRES … Important Note: This page is closely related to PROBABILITY, CHAOS AND FRACTALS in the recommended reading lists in Mathematics, they should therefore be consulted together. COMPLEX SYSTEMS: POPULAR READINGS John Holland - Complexity Very short introduction Melanie Mitchell - Complexity. a Guided Tour M. Mitchell Waldrop - Complexity. the Emerging Science at the Edge of Order and Chaoshttps://sandromagri.info/en/phys/bookslist/phys095/index.htmlWed, 13 May 2020 12:32:16 +0200sandro@freenetst.it (Sandro Magrì)https://sandromagri.info/en/phys/bookslist/phys095/index.htmlDRAFT - WORK IN PROGRESS SYMMETRY IN MATHEMATICS AND SCIENCE Symmetry in general Hermann Weyl - Symmetry (1989) Eugene Paul Wigner - Symmetries and Reflections: Scientific Essays (1979) Gian Carlo Ghirardi - Symmetries. in art and science (2019) Gian Carlo Ghirardi - Symmetries. principles and natural forms (2019) Elena Castellani - Symmetry and Nature. From harmonies of figures to invariances of laws (2000) Vincenzo Barone - The order of the world. symmetries in physics from Aristotle to Higgs (2013) Joe Rosen - Symmetry Rules How Science and Nature Are Founded on Symmetry (2008) Peter Joseph Fré - A Conceptual History of Space and Symmetry. from Plato to the Superworld (2018) Kathleen Brading, Elena Castellani (eds.) - Symmetries in Physics: Philosophical Reflections (2010) Klaus Mainzer - Symmetry and Complexity. The Spirit and Beauty of Nonlinear Science (2005) György Darvas - Symmetry. Cultural-historical and Ontological Aspects of Science-Arts Relations Articles, lecture notes and online resources: