Electronic catalog

DDC 182/.2
L 50
Lehman, Geoff, (1971-).
    The Parthenon and liberal education / / Geoff Lehman & Michael Weinman. - Albany, NY : : State University of New York Press,, [2018]. - 1 online resource (xxxiii, 234 pages). : il. - (SUNY Series in Ancient Greek Philosophy.). - Includes bibliographical references and index. - URL: https://library.dvfu.ru/lib/document/SK_ELIB/1F672E19-77BB-4BB9-9510-7C5FE38BBC89. - ISBN 9781438468433 (electronic book). - ISBN 1438468431 (electronic book)
Description based on online resource; title from digital title page (viewed on February 15, 2019).
Параллельные издания: Print version: : Lehman, Geoff, 1971- Parthenon and liberal education. - Albany, NY : State University of New York, 2018. - ISBN 9781438468419
    Содержание:
Intro; Contents; List of Illustrations; Acknowledgements; Introduction: Thinking the Parthenon and Liberal Arts Education Together; 1. The Parthenon as an Institution of Liberal Arts Education; 2. The Parthenon and the Historiography of Greek Mathematics; Part I: Plato on Dialectic and the Problem-Based Study of Mathematics; Chapter 1: Dialectic and the Mathematical Arts in Republic (9.587bâ#x80;#x93;588a): Philolausâ#x80;#x99;s Scale and the Final Bout between the Just and Unjust Souls; 1. The Two Interpretive Principles We Bring to Platoâ#x80;#x99;s Dialogues; Leaving Things Out.
2. Why 729? The Positive Absence of Harmony in Resp. 9.587bâ#x80;#x93;588aFrom the Five Regimes to Philolausâ#x80;#x99;s Great Year; The Unspoken Resonance of 729 for Philolaus; Chapter 2: Dialectic and the Mathematical Arts in Timaeus (35bâ#x80;#x93;36c): Philolausâ#x80;#x99;s Scale in the Construction of the World-Soul; 1. Our Interpretive Principles as Applied to Timaeus; 2. Dialectic and the Debt to Philolaus; Chapter 3: Platonic Dialectic, Pythagorean Harmonics, and Liberal Arts Education; 1. Pythagorean Harmonics and Platoâ#x80;#x99;s Subordination of Mathematics to Dialectic in Resp. 7.
2. Plato and the Liberal Arts: Epistemic Closure in Mathematics and the Openness of DialecticPart II: Harmonia and Symmetria of the Parthenon; Chapter 4: The Parthenon and the Musical Scale; 1. Introduction: The Discovery of the Irrational; 2. Symmetria and the Doric Order; 3. Continuous Proportion as Construction; 4. On Beauty; or, Arithmetic and Geometry as Liberal Arts; Chapter 5: The Corner Problem; 1. Remainders and Adjustments; 2. The Kanon of Polykleitos; Chapter 6: Refinements and the Question of Dialectic; 1. The Refinements: Optical or Ontological?
2. Column Inclination: Harmonia over Symmetria3. Curvature: Toward Dialectic; Afterword; Appendix A: Pythagorean Musical Ratios; Appendix B: Principal Measurements of the Parthenon; Appendix C: Elements of the Doric Order; Appendix D: Ground Plan of the Parthenon; Appendix E: Glossary of Technical Terms; Notes; Works Cited; Index.

Lehman, Geoff,. The Parthenon and liberal education / [Электронный ресурс] / Geoff Lehman & Michael Weinman., [2018]. - 1 online resource (xxxiii, 234 pages). с. (Введено оглавление)

DDC 192
P 57

    Philosophy of Logic and Mathematics : : Proceedings of the 41st International Ludwig Wittgenstein Symposium / / Gabriele M. Mras, Bernhard Ritter, Paul Weingartner. - 1515/9783110657883. - Berlin ; ; Boston : : De Gruyter,, ©2019. - 1 online resource (XII, 547 pages) : : illustrations ( час. мин.), 1515/9783110657883. - (Publications of the Austrian Ludwig Wittgenstein Society - New Series ; ; 27). - In English. - Includes bibliographical references and index. - URL: https://library.dvfu.ru/lib/document/SK_ELIB/C8C39819-18BE-4EC6-A355-C7ABDB7AB7AD. - ISBN 9783110657883 (electronic bk.). - ISBN 3110657880 (electronic bk.). - ISBN 9783110654301 (hardbound). - ISBN 311065430X (hardbound). - ISBN 9783110654547 (electronic bk.). - ISBN 3110654547 (electronic bk.)
Description based on print version record
Параллельные издания: Print version: : Philosophy of logic and mathematics. - Berlin : De Gruyter, [2019]. - ISBN 9783110654301

Philosophy of Logic and Mathematics : [Электронный ресурс] : Proceedings of the 41st International Ludwig Wittgenstein Symposium / / Gabriele M. Mras, Bernhard Ritter, Paul Weingartner., ©2019. - 1 online resource (XII, 547 pages) : с.

DDC 510.92/2
P 86
Posamentier, Alfred S. ,
    Math makers : : the lives and works of 50 famous mathematicians / / Alfred S. Posamentier and Christian Spreitzer. - Guilford, Connecticut : : Prometheus Books,, [2020]. - 1 online resource (xiv, 420 pages) : il. - Includes bibliographical references. - URL: https://library.dvfu.ru/lib/document/SK_ELIB/E4425C3C-363E-4F1B-88AE-7B749D9B790F. - ISBN 9781633885219 (electronic book). - ISBN 1633885216 (electronic book)
Description based on online resource; title from digital title page (viewed on February 25, 2020).
Параллельные издания: Print version: : Posamentier, Alfred S., author. Math makers. - Amherst, New York : Prometheus Books, 2019. - ISBN 9781633885202
    Содержание:
Introduction -- Thales of Miletus : Greek (c.624-546 BCE) -- Pythagoras : Greek (575-500 BCE) -- Eudoxus : Greek (408-355 BCE) -- Euclid : Greek (c.300 BCE) -- Archimedes : Greek(c.287-c.212 BCE) -- Eratosthenes : Greek (276-194 BCE) -- Claudius Ptolemy : Greco-Roman (100-170) -- Diophantus of Alexandria : Hellenistic Greek (c.201-285) -- Brahmagupta : India (598-670) -- Leonardo Pisano Bigollo, "Fibonacci" : Italian (1170-1250) -- Gerolamo Cardano : Italian (1501-1576) -- John Napier : Scottish (1550-1617) -- Johannes Kepler : German (1571- 1630) -- Rene Descartes : French (1596-1650) -- Pierre de Fermat : French (1607-1665) -- Blaise Pascal : French (1623-1662) -- Isaac Newton : English (1642-1727) -- Gottfried Wilhelm (von) Leibniz : German (1646-1716) -- Giovanni Ceva : Italian (1647-1734) -- Robert Simson : Scottish (1687-1768) -- Christian Goldbach : German (1690-1764) -- The Bernoullis, Daniel Bernoulli : Swiss (1700-1782) -- Leonhard Euler : Swiss (1707-1783) -- Maria Agnesi : Italian (1718-1799).
Pierre-Simon de Laplace : French (1749-1827) -- Lorenzo Mascheroni : Italian (1750-1800) -- Nathaniel Bowditch : American (1773 -- 1838) -- Sophie Germain : French (1776-1831) -- Carl Friedrich Gauss : German (1777-1855) -- Charles Babbage : English (1791-1871) -- Niels Henrik Abel : Norwegian (1802-1829) -- Evariste Galois : French (1811-1832) -- James Joseph Sylvester : English (1814-1897) -- Ada Lovelace : English (1815-1852) -- George Boole : English (1815-1864) -- Bernhard Riemann : German (1826-1866) -- Georg Cantor : German (1845-1918) -- Sofia Kovalevskaya : Russian (1850-1891) -- Giuseppe Peano : Italian (1858-1932) -- David Hilbert : German (1862-1943) -- G.H. Hardy : English (1877-1947) -- Emmy Noether : German (1882-1935) -- Srinivasa Ramanujan : India (1887-1920) -- John von Neumann : Hungarian-American (1903-1957) -- Kurt Godel : Austrian-American (1906-1978) -- Alan Turing : English (1912-1954) -- Paul Erdos : Hungarian (1913-1996) -- Herbert A. Hauptman : American (1917-2011) -- Benoit Mandelbrot : Polish-American (1924-2010) -- Maryam Mirzakhani : Iranian (1977-2017).

Posamentier, Alfred S., Math makers : [Электронный ресурс] : the lives and works of 50 famous mathematicians / / Alfred S. Posamentier and Christian Spreitzer., [2020]. - 1 online resource (xiv, 420 pages) с. (Введено оглавление)

DDC 510.92/273
R 66
Roberts, David Lindsay,.
    The republic of numbers : : unexpected stories of mathematical Americans / / David Lindsay Roberts. - Baltimore : : Johns Hopkins University Press,, ©2019. - 1 online resource. - Includes bibliographical references and index. - URL: https://library.dvfu.ru/lib/document/SK_ELIB/3A9864EB-4CC7-4967-986C-3FDC6ADCD934. - ISBN 9781421433097 (electronic book). - ISBN 1421433095 (electronic book)
Description based on online resource; title from digital title page (viewed on October 09, 2019).
Параллельные издания: Print version: : Roberts, David Lindsay. Republic of numbers. - Baltimore : Johns Hopkins University Press, 2019. - ISBN 9781421433080
    Содержание:
Introduction -- Practical navigator : Nathaniel Bowditch, 1806 -- Hudson River School : Sylvanus Thayer, 1815 -- Political arithmetic : Abraham Lincoln, 1826 -- Textbook messages : Catherine Beecher and Joseph Ray, 1832 -- Learning to count : J. Willard Gibbs, 1841 -- Naval reserve : Charles H. Davis, 1857 -- General principles : Daniel Harvey Hill, 1862 -- Fellow worker : Christine Ladd-Franklin, 1878 -- Straddler : Kelly Miller, 1887 -- Frontiersmen : Herman Hollerith and E.H. Moore, 1893.
Poetic historian : E.T. Bell, 1906 -- Man of school mathematics : Charles M. Austin, 1914 -- Organization man : E.B. Wilson, 1922 -- Versed in math : Lillian R. Lieber and Hugh G. Lieber, 1931 -- Machine whisperer : Grace Hopper, 1941 -- Survivor : Izaak Wirszup, 1956 -- Carrying Old Virginny forward : Edgar L. Edwards, Jr., 1960 -- Americano : Joaquin Basilio Diaz, 1974 -- Math warrior : Frank B. Allen, 1984 -- Suspicious minds : John F. Nash, Fr., 1994 -- Conclusion.

Roberts, David Lindsay,. The republic of numbers : [Электронный ресурс] : unexpected stories of mathematical Americans / / David Lindsay Roberts., ©2019. - 1 online resource. с. (Введено оглавление)

DDC 510
T 44

    The best writing on mathematics.
   2019 /. - Princeton, New Jersey : : Princeton University Press,, [2019]. - 1 online resource. - (The best writing on mathematics ; ; tenth). - URL: https://library.dvfu.ru/lib/document/SK_ELIB/95810B22-BA26-44A0-BF95-342B3DB33EED. - ISBN 9780691197944 (electronic book). - ISBN 0691197946 (electronic book)
Description based on online resource; title from digital title page (viewed on November 21, 2019).
Параллельные издания: Print version: : Pitici, Mircea. Best Writing on Mathematics 2019. - Princeton : Princeton University Press, ©2019. - ISBN 9780691198675
    Содержание:
Cover; Title; Copyright; Dedication; Contents; Illustrations; Introduction; Geometry v. Gerrymandering; Slicing Sandwiches, States, and Solar Systems: Can Mathematical Tools Help Determine What Divisions Are Provably Fair?; Does Mathematics Teach How to Think?; Abstracting the Rubik's Cube; Topology-Disturbing Objects: A New Class of 3D Optical Illusion; Mathematicians Explore Mirror Link between Two Geometric Worlds; Professor Engel's Marvelously Improbable Machines; The On-Line Encyclopedia of Integer Sequences; Mathematics for Big Data; The Un(solv)able Problem
The Mechanization of MathematicsMathematics as an Empirical Phenomenon, Subject to Modeling; Does 2 + 3 = 5? In Defense of a Near Absurdity; Gregory's Sixth Operation; Kolmogorov Complexity and Our Search for Meaning: What Math Can Teach Us about Finding Order in our Chaotic Lives; Ethics in Statistical Practice and Communication: Five Recommendations; The Fields Medal Should Return to Its Roots; The Erdős Paradox; Contributors; Notable Writings; Acknowledgments; Credits

The best writing on mathematics. [Электронный ресурс] . 2019 /, [2019]. - 1 online resource с. (Введено оглавление)

DDC 510
T 44

    The best writing on mathematics.
   2020 /. - Princeton, New Jersey : : Princeton University Press,, [2020]. - 1 online resource. - (The best writing in mathematics ; ; 11). - URL: https://library.dvfu.ru/lib/document/SK_ELIB/A857CABD-2FF0-41D1-AADB-C4739B5F8361. - ISBN 0691213658 (electronic book). - ISBN 9780691213651 (electronic bk.)
Description based on online resource; title from digital title page (viewed on November 24, 2020).
Параллельные издания: Print version: : Pitici, Mircea The Best Writing on Mathematics 2020. - Princeton : Princeton University Press,c2020. - ISBN 9780691207575

The best writing on mathematics. [Электронный ресурс] . 2020 /, [2020]. - 1 online resource. с.

DDC 510.5
T 44

    The Best Writing on Mathematics.
   2021 /. - Princeton : : Princeton University Press,, [2022]. - 1 online resource (320 pages). - URL: https://library.dvfu.ru/lib/document/SK_ELIB/DF4BA707-209B-46F1-A9E9-5D99CF4088C9. - ISBN 0691225729 (electronic book). - ISBN 9780691225722 (electronic bk.)
Online resource; title from digital title page (viewed on August 05, 2022).
Параллельные издания: Print version: : Pitici, Mircea. Best Writing on Mathematics 2021. - Princeton : Princeton University Press, ©2022. - ISBN 9780691225715

The Best Writing on Mathematics. [Электронный ресурс] . 2021 /, [2022]. - 1 online resource (320 pages) с.

DDC 516/.154
M 27
Maor, Eli.
    Pentagons and pentagrams : : an illustrated history / / text by Eli Maor ; illustrated by Eugen Jost. - Princeton : : Princeton University Press,, [2022]. - 1 online resource (201 pages). - Includes bibliographical references and index. - URL: https://library.dvfu.ru/lib/document/SK_ELIB/CCFA4D26-E855-4061-A742-6FEE6054423D. - ISBN 0691238553 (electronic book). - ISBN 9780691238555 (electronic bk.)
Online resource; title from digital title page (viewed on August 05, 2022).
Параллельные издания: Print version: : Maor, Eli. Pentagons and Pentagrams. - Princeton : Princeton University Press, ©2022. - ISBN 9780691201122
    Содержание:
Five -- [phi symbol] -- But is it divine? -- Constructing the regular pentagon -- Pentagrams -- Pentastars -- Tessellations : defying the impossible -- The discovery of fivefold symmetry in crystals -- Oh, that Pentagon.

Maor, Eli. Pentagons and pentagrams : [Электронный ресурс] : an illustrated history / / text by Eli Maor ; illustrated by Eugen Jost., [2022]. - 1 online resource (201 pages) с. (Введено оглавление)

DDC 510
G 94
Guidotti, Patrick,.
    Advanced mathmatics : : an invitation in preparation for graduate school / / Patrick Guidotti. - Berlin : : Walter de Gruyter GmbH,, ©2022. - 1 online resource (1 volume) : : illustrations (colour). - (De Gruyter textbook). - URL: https://library.dvfu.ru/lib/document/SK_ELIB/781547B2-59DC-4739-BFF5-CB125C0D4419. - ISBN 9783110780987 (electronic bk.). - ISBN 3110780984 (electronic bk.)
Includes index. Print version record.
Параллельные издания: Print version: : GUIDOTTI, PATRICK. ADVANCED MATHEMATICS. - [Place of publication not identified] : DE GRUYTER, 2022. - ISBN 3110780852

Guidotti, Patrick,. Advanced mathmatics : [Электронный ресурс] : an invitation in preparation for graduate school / / Patrick Guidotti., ©2022. - 1 online resource (1 volume) : с.

DDC 514.34
S 26
Saveliev, Nikolai.
    Lectures on the Topology of 3-Manifolds [[electronic resource] :] : an Introduction to the Casson Invariant. / Nikolai. Saveliev. - 2nd ed. - Berlin : : De Gruyter,, 2011. - 1 online resource (219 p.). - URL: https://library.dvfu.ru/lib/document/SK_ELIB/A72DF210-A578-4828-A0E7-82EBF1FEF00A. - ISBN 9783110250367 (electronic bk.). - ISBN 3110250365 (e lectronic bk.)
Description based on print version record.
Параллельные издания: Print version: : Saveliev, Nikolai Lectures on the Topology of 3-Manifolds : An Introduction to the Casson Invariant. - Berlin : De Gruyter, c2011. - ISBN 9783110250350
    Содержание:
Preface; Introduction; Glossary; 1 Heegaard splittings; 1.1 Introduction; 1.2 Existence of Heegaard splittings; 1.3 Stable equivalence of Heegaard splittings; 1.4 The mapping class group; 1.5 Manifolds of Heegaard genus <_ 1; 1.6 Seifert manifolds; 1.7 Heegaard diagrams; 1.8 Exercises; 2 Dehn surgery; 2.1 Knots and links in 3-manifolds; 2.2 Surgery on links in S3; 2.3 Surgery description of lens spaces and Seifert manifolds; 2.4 Surgery and 4-manifolds; 2.5 Exercises; 3 Kirby calculus; 3.1 The linking number; 3.2 Kirby moves; 3.3 The linking matrix; 3.4 Reversing orientation; 3.5 Exercises.
4 Even surgeries4.1 Exercises; 5 Review of 4-manifolds; 5.1 Definition of the intersection form; 5.2 The unimodular integral forms; 5.3 Four-manifolds and intersection forms; 5.4 Exercises; 6 Four-manifolds with boundary; 6.1 The intersection form; 6.2 Homology spheres via surgery on knots; 6.3 Seifert homology spheres; 6.4 The Rohlin invariant; 6.5 Exercises; 7 Invariants of knots and links; 7.1 Seifert surfaces; 7.2 Seifert matrices; 7.3 The Alexander polynomial; 7.4 Other invariants from Seifert surfaces; 7.5 Knots in homology spheres; 7.6 Boundary links and the Alexander polynomial.
7.7 Exercises8 Fibered knots; 8.1 The definition of a fibered knot; 8.2 The monodromy; 8.3 More about torus knots; 8.4 Joins; 8.5 The monodromy of torus knots; 8.6 Open book decompositions; 8.7 Exercises; 9 The Arf-invariant; 9.1 The Arf-invariant of a quadratic form; 9.2 The Arf-invariant of a knot; 9.3 Exercises; 10 Rohlin's theorem; 10.1 Characteristic surfaces; 10.2 The definition of q~; 10.3 Representing homology classes by surfaces; 11 The Rohlin invariant; 11.1 Definition of the Rohlin invariant; 11.2 The Rohlin invariant of Seifert spheres.
11.3 A surgery formula for the Rohlin invariant11.4 The homology cobordism group; 11.5 Exercises; 12 The Casson invariant; 12.1 Exercises; 13 The group SU (2); 13.1 Exercises; 14 Representation spaces; 14.1 The topology of representation spaces; 14.2 Irreducible representations; 14.3 Representations of free groups; 14.4 Representations of surface groups; 14.5 Representations for Seifert homology spheres; 14.6 Exercises; 15 The local properties of representation spaces; 15.1 Exercises; 16 Casson's invariant for Heegaard splittings; 16.1 The intersection product; 16.2 The orientations.
16.3 Independence of Heegaard splitting16.4 Exercises; 17 Casson's invariant for knots; 17.1 Preferred Heegaard splittings; 17.2 The Casson invariant for knots; 17.3 The difference cycle; 17.4 The Casson invariant for boundary links; 17.5 The Casson invariant of a trefoil; 18 An application of the Casson invariant; 18.1 Triangulating 4-manifolds; 18.2 Higher-dimensional manifolds; 18.3 Exercises; 19 The Casson invariant of Seifert manifolds; 19.1 The space R(S (p, q, r)); 19.2 Calculation of the Casson invariant; 19.3 Exercises; Conclusion; Bibliography; Index.

Saveliev, Nikolai. Lectures on the Topology of 3-Manifolds [[electronic resource] :] : an Introduction to the Casson Invariant. / Nikolai. Saveliev, 2011. - 1 online resource (219 p.) с. (Введено оглавление)