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Reference Module Computer Science and Engineering eBook Series

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  • Handbook of Visual, Experimental and Computational Mathematics

    Bridges through Data

    Edited by Bharath Sriraman ...
    Series series Reference Module Computer Science and Engineering
    This Handbook examines the interaction of visual, computational and experimental approaches in modern mathematics through its interaction with data. Experimental mathematics made the first bold foray into using computational techniques to solve theoretical problems via data saturation and visualizations. Since computing power and powerful algorithms have changed the landscape of visualizing and ... Read more

    PHP48,441.49

  • Handbook of the History and Philosophy of Mathematical Practice

    Edited by Bharath Sriraman ...
    Series series Reference Module Computer Science and Engineering
    The purpose of this unique handbook is to examine the transformation of the philosophy of mathematics from its origins in the history of mathematical practice to the present. It aims to synthesize what is known and what has unfolded so far, as well as to explore directions in which the study of the philosophy of mathematics, as evident in increasingly diverse mathematical practices, is headed. ... Read more

    PHP90,424.69

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  • The Logic of Scientific Discovery

    by Karl Popper ...
    Series series Routledge Classics
    Described by the philosopher A.J. Ayer as a work of 'great originality and power', this book revolutionized contemporary thinking on science and knowledge. Ideas such as the now legendary doctrine of 'falsificationism' electrified the scientific community, influencing even working scientists, as well as post-war philosophy. This astonishing work ranks alongside The Open Society and Its Enemies as ... Read more

    PHP2,524.92

  • Aristotle's Revenge

    The Metaphysical Foundations of Physical and Biological Science

    by Edward Feser ...
    Actuality and potentiality, substantial form and prime matter, efficient causality and teleology are among the fundamental concepts of Aristotelian philosophy of nature. Aristotle's Revenge argues that these concepts are not only compatible with modern science, but are implicitly presupposed by modern science. Among the many topics covered are the metaphysical presuppositions of scientific method; ... Read more

    PHP1,362.89

  • Proofs and Refutations

    The Logic of Mathematical Discovery

    by Imre Lakatos ...
    Series series Cambridge Philosophy Classics
    Imre Lakatos's Proofs and Refutations is an enduring classic, which has never lost its relevance. Taking the form of a dialogue between a teacher and some students, the book considers various solutions to mathematical problems and, in the process, raises important questions about the nature of mathematical discovery and methodology. Lakatos shows that mathematics grows through a process of ... Read more

    PHP1,464.89

  • Why Is There Philosophy of Mathematics At All?

    by Ian Hacking ...
    This truly philosophical book takes us back to fundamentals - the sheer experience of proof, and the enigmatic relation of mathematics to nature. It asks unexpected questions, such as 'what makes mathematics mathematics?', 'where did proof come from and how did it evolve?', and 'how did the distinction between pure and applied mathematics come into being?' In a wide-ranging discussion that is both ... Read more

    PHP1,767.89

  • Circles Disturbed

    The Interplay of Mathematics and Narrative

    Edited by Apostolos Doxiadis, Barry Mazur ...
    Why narrative is essential to mathematicsCircles Disturbed brings together important thinkers in mathematics, history, and philosophy to explore the relationship between mathematics and narrative. The book's title recalls the last words of the great Greek mathematician Archimedes before he was slain by a Roman soldier—"Don't disturb my circles"—words that seem to refer to two radically different ... Read more

    PHP3,415.09

  • The Real Numbers

    An Introduction to Set Theory and Analysis

    by John Stillwell ...
    Series series Mathematics and Statistics (R0)
    While most texts on real analysis are content to assume the real numbers, or to treat them only briefly, this text makes a serious study of the real number system and the issues it brings to light. Analysis needs the real numbers to model the line, and to support the concepts of continuity and measure. But these seemingly simple requirements lead to deep issues of set theory—uncountability, the ... Read more

    PHP1,743.29

  • Scientific Representation

    Paradoxes of Perspective

    by Bas C. van Fraassen ...
    Bas C. van Fraassen presents an original exploration of how we represent the world. Science represents natural phenomena by means of theories, as well as in many concrete ways by such means as pictures, graphs, table-top models, and computer simulations. Scientific Representation begins with an inquiry into the nature of representation in general, drawing on such diverse sources as Plato's ... Read more

    PHP1,773.49

  • Interpreting Gödel

    Critical Essays

    Edited by Juliette Kennedy ...
    The logician Kurt Gödel (1906–1978) published a paper in 1931 formulating what have come to be known as his 'incompleteness theorems', which prove, among other things, that within any formal system with resources sufficient to code arithmetic, questions exist which are neither provable nor disprovable on the basis of the axioms which define the system. These are among the most celebrated results ... Read more

    PHP1,868.89

  • Problems And Solutions In Real Analysis (Second Edition)

    by Masayoshi Hata ...
    Series Book 14 - Series On Number Theory And Its Applications
    This second edition introduces an additional set of new mathematical problems with their detailed solutions in real analysis. It also provides numerous improved solutions to the existing problems from the previous edition, and includes very useful tips and skills for the readers to master successfully. There are three more chapters that expand further on the topics of Bernoulli numbers, ... Read more

    PHP2,106.69

  • Advances in Proof-Theoretic Semantics

    Edited by Thomas Piecha, Peter Schroeder-Heister ...
    Series series Mathematics and Statistics (R0)
    This volume is the first ever collection devoted to the field of proof-theoretic semantics. Contributions address topics including the systematics of introduction and elimination rules and proofs of normalization, the categorial characterization of deductions, the relation between Heyting's and Gentzen's approaches to meaning, knowability paradoxes, proof-theoretic foundations of set theory, ... Read more

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