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A Foundation Course In Mathematics
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Book Synopsis A Foundation Course in Mathematics by : Ajit Kumar
Download or read book A Foundation Course in Mathematics written by Ajit Kumar and published by . This book was released on 2018-04-30 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written in a conversational style to impart critical and analytical thinking which will be beneficial for students of any discipline. It also gives emphasis on problem solving and proof writing skills, key aspects of learning mathematics.
Book Synopsis Mathematics Foundation Course: Axiom systems by :
Download or read book Mathematics Foundation Course: Axiom systems written by and published by . This book was released on 1978 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Foundations of Mathematics by : Kenneth Kunen
Download or read book The Foundations of Mathematics written by Kenneth Kunen and published by . This book was released on 2009 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical logic grew out of philosophical questions regarding the foundations of mathematics, but logic has now outgrown its philosophical roots, and has become an integral part of mathematics in general. This book is designed for students who plan to specialize in logic, as well as for those who are interested in the applications of logic to other areas of mathematics. Used as a text, it could form the basis of a beginning graduate-level course. There are three main chapters: Set Theory, Model Theory, and Recursion Theory. The Set Theory chapter describes the set-theoretic foundations of all of mathematics, based on the ZFC axioms. It also covers technical results about the Axiom of Choice, well-orderings, and the theory of uncountable cardinals. The Model Theory chapter discusses predicate logic and formal proofs, and covers the Completeness, Compactness, and Lowenheim-Skolem Theorems, elementary submodels, model completeness, and applications to algebra. This chapter also continues the foundational issues begun in the set theory chapter. Mathematics can now be viewed as formal proofs from ZFC. Also, model theory leads to models of set theory. This includes a discussion of absoluteness, and an analysis of models such as H( ) and R( ). The Recursion Theory chapter develops some basic facts about computable functions, and uses them to prove a number of results of foundational importance; in particular, Church's theorem on the undecidability of logical consequence, the incompleteness theorems of Godel, and Tarski's theorem on the non-definability of truth.
Book Synopsis Mathematics Foundation Course by : Open University. Mathematics Foundation Course Team
Download or read book Mathematics Foundation Course written by Open University. Mathematics Foundation Course Team and published by . This book was released on 1970 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis MATHEMATICS FOUNDATION COURSE. by : OPEN UNIV. MATH. FOUNDATION COURSE TEAM
Download or read book MATHEMATICS FOUNDATION COURSE. written by OPEN UNIV. MATH. FOUNDATION COURSE TEAM and published by . This book was released on with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematics Foundation Course: Proof by : Open University. Mathematics Foundation Course Team
Download or read book Mathematics Foundation Course: Proof written by Open University. Mathematics Foundation Course Team and published by . This book was released on 1986 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Concrete Mathematics by : Ronald L. Graham
Download or read book Concrete Mathematics written by Ronald L. Graham and published by Addison-Wesley Professional. This book was released on 1994-02-28 with total page 811 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 scientists - the authors themselves rely heavily on it! - but for serious users of mathematics in virtually every discipline. Concrete Mathematics is a blending of CONtinuous and disCRETE mathematics. "More concretely," the authors explain, "it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems." The subject matter is primarily an expansion of the Mathematical Preliminaries section in Knuth's classic Art of Computer Programming, but the style of presentation is more leisurely, and individual topics are covered more deeply. Several new topics have been added, and the most significant ideas have been traced to their historical roots. The book includes more than 500 exercises, divided into six categories. Complete answers are provided for all exercises, except research problems, making the book particularly valuable for self-study. Major topics include: Sums Recurrences Integer functions Elementary number theory Binomial coefficients Generating functions Discrete probability Asymptotic methods This second edition includes important new material about mechanical summation. In response to the widespread use of the first edition as a reference book, the bibliography and index have also been expanded, and additional nontrivial improvements can be found on almost every page. Readers will appreciate the informal style of Concrete Mathematics. Particularly enjoyable are the marginal graffiti contributed by students who have taken courses based on this material. The authors want to convey not only the importance of the techniques presented, but some of the fun in learning and using them.
Book Synopsis Mathematics Foundation Course: Proof by : Open University. Mathematics Foundation Course Team
Download or read book Mathematics Foundation Course: Proof written by Open University. Mathematics Foundation Course Team and published by . This book was released on 1986 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Foundation Mathematics for Engineers by : John Berry
Download or read book Foundation Mathematics for Engineers written by John Berry and published by Palgrave. This book was released on 1991-09-06 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written for students without Maths A-Level who are entering an Engineering or Applied Science degree via a preliminary year. It introduces the basic ideas of Mathematics through applications in physics and engineering, providing a firm foundation in functions and calculus for the subsequent degree. Students are encouraged to use computers and calculators effectively and to develop skills in mathematical modelling. The content and approach have been devised with university and polytechnic foundation course lecturers.
Book Synopsis Mathematics Foundation Course by : Open University
Download or read book Mathematics Foundation Course written by Open University and published by . This book was released on 1971 with total page 51 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematics Foundation Course: Computation by : Open University. Mathematics Foundation Course Team
Download or read book Mathematics Foundation Course: Computation written by Open University. Mathematics Foundation Course Team and published by . This book was released on 1978 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematics written by Open University and published by . This book was released on 1982 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematics Foundation Course: Patterns by : Open University. Mathematics Foundation Course Team
Download or read book Mathematics Foundation Course: Patterns written by Open University. Mathematics Foundation Course Team and published by . This book was released on 1981 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematics Foundation Course: Vectors and applications by : Open University. Mathematics Foundation Course Team
Download or read book Mathematics Foundation Course: Vectors and applications written by Open University. Mathematics Foundation Course Team and published by . This book was released on 1986 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Conceptions of Set and the Foundations of Mathematics by : Luca Incurvati
Download or read book Conceptions of Set and the Foundations of Mathematics written by Luca Incurvati and published by Cambridge University Press. This book was released on 2020-01-23 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a detailed and critical examination of the available conceptions of set and proposes a novel version.
Download or read book Mathematics foundation course written by and published by . This book was released on 1971 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematics Foundation Course: Functions by : Open University. Mathematics Foundation Course Team
Download or read book Mathematics Foundation Course: Functions written by Open University. Mathematics Foundation Course Team and published by . This book was released on 1981 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
