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Showing 1 - 12 of 12 results for “marco panza”
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  • Reals by Abstraction. An Inquiry about Epistemic Economy in Mathematics: Volume II

    The Real Numbers

    by Marco Panza ...
    Series series Philosophy and Religion (R0)
    This second of a two-volume book prolongs the inquiry of volume 1 by considering other examples apt to better illustrate the ideal of epistemic economy in mathematical recasting. The new examples are drawn from second-order definitions of real numbers and allow the comparison of three different approaches to the definition of these numbers: by domain extension, as ratios of magnitudes, and as ... Read more

    $116.09 USD

  • Reals by Abstraction. An Inquiry about Epistemic Economy in Mathematics: Volume I

    Epistemic Economy and The Natural Numbers

    by Marco Panza ...
    Series series Philosophy and Religion (R0)
    This first of a two-volume book discusses the process of conceptual recasting of mathematical contents under a new and more convenient form, complying with the ideal of epistemic economy (expressing the same content by appealing to fewer or minimal conceptual resources). It accounts for this ideal and discusses its philosophical significance, also in opposition to the most frequently considered ... Read more

    $125.99 USD

  • Three Infinities in Mathematics

    Projective Geometry, Infinitesimal Analysis, Set Theory

    by Marco Panza, Daniele C. Struppa ...
    Series series Philosophy and Religion (R0)
    This book is intended as conceptual introduction to three mathematical theories arising from the attempt to understand (actual) infinity. Though the treatment does not avoid technical aspects, it tries to explain their origins and purposes. The book is divided into three parts, each composed of two chapters and a few appendices. Each part presents in detail one of three moments in which ... Read more

    $62.99 USD

  • The Mathematical and Philosophical Legacy of Alexander Grothendieck

    Edited by Marco Panza, Daniele C. Struppa, Jean-Jacques Szczeciniarz ...
    Series series Mathematics and Statistics (R0)
    Alexander Grothendieck is often considered one of the greatest mathematicians of the twentieth century (if not all time), and his unique vision continues to impact and inspire many fields and researchers today. Utilizing a multidisciplinary approach, this edited volume explores the profound influence his work and ideas have had not only on mathematics, but also on logic and philosophy. Chapters ... Read more

    $251.99 USD

  • From Logic to Practice

    Italian Studies in the Philosophy of Mathematics

    Edited by Gabriele Lolli, Marco Panza, Giorgio Venturi ...
    Series series Philosophy and Religion (R0)
    This book brings together young researchers from a variety of fields within mathematics, philosophy and logic. It discusses questions that arise in their work, as well as themes and reactions that appear to be similar in different contexts. The book shows that a fairly intensive activity in the philosophy of mathematics is underway, due on the one hand to the disillusionment with respect to ... Read more

    $49.49 USD

  • Functions and Generality of Logic

    Reflections on Dedekind's and Frege's Logicisms

    by Hourya Benis-Sinaceur, Marco Panza, Gabriel Sandu ...
    Series series Philosophy and Religion (R0)
    This book examines three connected aspects of Frege’s logicism: the differences between Dedekind’s and Frege’s interpretation of the term ‘logic’ and related terms and reflects on Frege’s notion of function, comparing its understanding and the role it played in Frege’s and Lagrange’s foundational programs. It concludes with an examination of the notion of arbitrary function, taking into account ... Read more

    $49.99 USD

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  • Inequalities

    by G. H. Hardy, J. E. Littlewood, G. Pólya ...
    Series series Cambridge Mathematical Library
    This classic of the mathematical literature forms a comprehensive study of the inequalities used throughout mathematics. First published in 1934, it presents clearly and exhaustively both the statement and proof of all the standard inequalities of analysis. The authors were well known for their powers of exposition and were able here to make the subject accessible to a wide audience of ... Read more

    $91.99 USD

  • Arithmetic Tales

    by Olivier Bordellès ...
    Translated by Véronique Bordellès ...
    Series series Mathematics and Statistics (R0)
    Number theory was once famously labeled the queen of mathematics by Gauss. The multiplicative structure of the integers in particular deals with many fascinating problems some of which are easy to understand but very difficult to solve. In the past, a variety of very different techniques has been applied to further its understanding.Classical methods in analytic theory such as Mertens’ theorem and ... Read more

    $80.99 USD

  • Gödel's Proof

    by Ernest Nagel, James R Newman, Douglas R. Hofstadter ...
    An accessible explanation of Kurt Gödel's groundbreaking work in mathematical logic: " An excellent nontechnical account." — Bulletin of the American Mathematical SocietyIn 1931 Kurt Gödel published his fundamental paper, "On Formally Undecidable Propositions of Principia Mathematica and Related Systems." This revolutionary paper challenged certain basic assumptions underlying much research in ... Read more

    $12.99 USD or Free with Kobo Plus

    Also available as: Audiobook

    Also available as: Audiobook

  • What Is Mathematics?:An Elementary Approach to Ideas and Methods

    An Elementary Approach to Ideas and Methods

    by Richard Courant, Herbert Robbins, Ian Stewart ...
    For more than two thousand years a familiarity with mathematics has been regarded as an indispensable part of the intellectual equipment of every cultured person. Today, unfortunately, the traditional place of mathematics in education is in grave danger. The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ... Read more

    $18.09 USD

  • Meta Math!

    The Quest for Omega

    by Gregory Chaitin ...
    Gregory Chaitin, one of the world’s foremost mathematicians, leads us on a spellbinding journey, illuminating the process by which he arrived at his groundbreaking theory.Chaitin’s revolutionary discovery, the Omega number, is an exquisitely complex representation of unknowability in mathematics. His investigations shed light on what we can ultimately know about the universe and the very nature of ... Read more

    $4.99 USD

  • Concrete Mathematics

    A Foundation for Computer Science

    by Ronald Graham, Donald Knuth, Oren Patashnik ...
    This book introduces the mathematics that supports advanced computer programming and the analysis of algorithms. The primary aim of its well-known authors is to provide a solid and relevant base of mathematical skills - the skills needed to solve complex problems, to evaluate horrendous sums, and to discover subtle patterns in data. It is an indispensable text and reference not only for computer ... Read more

    $77.39 USD