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    Essays in Constructive Mathematics

    Posted By: AvaxGenius
    Essays in Constructive Mathematics

    Essays in Constructive Mathematics by Harold M. Edwards
    English | PDF | 2005 | 228 Pages | ISBN : 1489990186 | 11.9 MB

    He [Kronecker] was, in fact, attempting to describe and to initiate a new branch of mathematics, which would contain both number theory and alge­ braic geometry as special cases.—Andre Weil [62] This book is about mathematics, not the history or philosophy of mathemat­ ics. Still, history and philosophy were prominent among my motives for writing it, and historical and philosophical issues will be major factors in determining whether it wins acceptance. Most mathematicians prefer constructive methods. Given two proofs of the same statement, one constructive and the other not, most will prefer the constructive proof. The real philosophical disagreement over the role of con­ structions in mathematics is between those—the majority—who believe that to exclude from mathematics all statements that cannot be proved construc­ tively would omit far too much, and those of us who believe, on the contrary, that the most interesting parts of mathematics can be dealt with construc­ tively, and that the greater rigor and precision of mathematics done in that way adds immensely to its value.

    Mastering Calculus through Practice: A Study Guide with over 300 Solved Exercises

    Posted By: AvaxGenius
    Mastering Calculus through Practice: A Study Guide with over 300 Solved Exercises

    Mastering Calculus through Practice: A Study Guide with over 300 Solved Exercises by Bárbara de Holanda Maia Teixeira, Edmundo Capelas de Oliveira
    English | PDF,EPUB | 2021 | 353 Pages | ISBN : 3030833399 | 21.9 MB

    This textbook covers key topics of Elementary Calculus through selected exercises, in a sequence that facilitates development of problem-solving abilities and techniques. It opens with an introduction to fundamental facts of mathematical logic, set theory, and pre-calculus, extending toward functions, limits, derivatives, and integrals. Over 300 solved problems are approached with a simple, direct style, ordered in a way that positively challenges students and helps them build self-confidence as they progress. A special final chapter adds five carefully crafted problems for a comprehensive recap of the work.

    Strict Finitism and the Logic of Mathematical Applications

    Posted By: AvaxGenius
    Strict Finitism and the Logic of Mathematical Applications

    Strict Finitism and the Logic of Mathematical Applications by Feng Ye
    English | EPUB | 2011 | 279 Pages | ISBN : 9400713460 | 6.1 MB

    This book intends to show that radical naturalism (or physicalism), nominalism and strict finitism account for the applications of classical mathematics in current scientific theories. The applied mathematical theories developed in the book include the basics of calculus, metric space theory, complex analysis, Lebesgue integration, Hilbert spaces, and semi-Riemann geometry (sufficient for the applications in classical quantum mechanics and general relativity).

    Strict Finitism and the Logic of Mathematical Applications

    Posted By: AvaxGenius
    Strict Finitism and the Logic of Mathematical Applications

    Strict Finitism and the Logic of Mathematical Applications by Feng Ye
    English | PDF | 2011 | 279 Pages | ISBN : 9400713460 | 2 MB

    This book intends to show that radical naturalism (or physicalism), nominalism and strict finitism account for the applications of classical mathematics in current scientific theories. The applied mathematical theories developed in the book include the basics of calculus, metric space theory, complex analysis, Lebesgue integration, Hilbert spaces, and semi-Riemann geometry (sufficient for the applications in classical quantum mechanics and general relativity).

    Mathematics, Logic, and their Philosophies: Essays in Honour of Mohammad Ardeshir

    Posted By: AvaxGenius
    Mathematics, Logic, and their Philosophies: Essays in Honour of Mohammad Ardeshir

    Mathematics, Logic, and their Philosophies: Essays in Honour of Mohammad Ardeshir by Mojtaba Mojtahedi
    English | PDF,EPUB | 2021 | 492 Pages | ISBN : 303053653X | 43.3 MB

    This volume is a collection of essays in honour of Professor Mohammad Ardeshir. It examines topics which, in one way or another, are connected to the various aspects of his multidisciplinary research interests.