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Author : McGraw-Hill Ryerson, Limited
Publisher :
ISBN 13 : 9781259467387
Total Pages : pages
Book Rating : 4.4/5 (673 download)
Download or read book Foundations of Mathematics 10 Downloadable Etext written by McGraw-Hill Ryerson, Limited and published by . This book was released on 2015-04-30 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kenneth Kunen
Publisher :
ISBN 13 : 9781904987147
Total Pages : 251 pages
Book Rating : 4.9/5 (871 download)
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.
Author : M.J. Beeson
Publisher : Springer Science & Business Media
ISBN 13 : 3642689523
Total Pages : 484 pages
Book Rating : 4.6/5 (426 download)
Download or read book Foundations of Constructive Mathematics written by M.J. Beeson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about some recent work in a subject usually considered part of "logic" and the" foundations of mathematics", but also having close connec tions with philosophy and computer science. Namely, the creation and study of "formal systems for constructive mathematics". The general organization of the book is described in the" User's Manual" which follows this introduction, and the contents of the book are described in more detail in the introductions to Part One, Part Two, Part Three, and Part Four. This introduction has a different purpose; it is intended to provide the reader with a general view of the subject. This requires, to begin with, an elucidation of both the concepts mentioned in the phrase, "formal systems for constructive mathematics". "Con structive mathematics" refers to mathematics in which, when you prove that l a thing exists (having certain desired properties) you show how to find it. Proof by contradiction is the most common way of proving something exists without showing how to find it - one assumes that nothing exists with the desired properties, and derives a contradiction. It was only in the last two decades of the nineteenth century that mathematicians began to exploit this method of proof in ways that nobody had previously done; that was partly made possible by the creation and development of set theory by Georg Cantor and Richard Dedekind.
Author :
Publisher : Univalent Foundations
ISBN 13 :
Total Pages : 484 pages
Book Rating : 4./5 ( download)
Download or read book Homotopy Type Theory: Univalent Foundations of Mathematics written by and published by Univalent Foundations. This book was released on with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Garret Sobczyk
Publisher : Springer Science & Business Media
ISBN 13 : 0817683852
Total Pages : 373 pages
Book Rating : 4.8/5 (176 download)
Download or read book New Foundations in Mathematics written by Garret Sobczyk and published by Springer Science & Business Media. This book was released on 2012-10-26 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first book of its kind, New Foundations in Mathematics: The Geometric Concept of Number uses geometric algebra to present an innovative approach to elementary and advanced mathematics. Geometric algebra offers a simple and robust means of expressing a wide range of ideas in mathematics, physics, and engineering. In particular, geometric algebra extends the real number system to include the concept of direction, which underpins much of modern mathematics and physics. Much of the material presented has been developed from undergraduate courses taught by the author over the years in linear algebra, theory of numbers, advanced calculus and vector calculus, numerical analysis, modern abstract algebra, and differential geometry. The principal aim of this book is to present these ideas in a freshly coherent and accessible manner. New Foundations in Mathematics will be of interest to undergraduate and graduate students of mathematics and physics who are looking for a unified treatment of many important geometric ideas arising in these subjects at all levels. The material can also serve as a supplemental textbook in some or all of the areas mentioned above and as a reference book for professionals who apply mathematics to engineering and computational areas of mathematics and physics.
Author : Denny Burzynski
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (14 download)
Download or read book Fundamentals of Mathematics written by Denny Burzynski and published by . This book was released on 2008 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of Mathematics is a work text that covers the traditional study in a modern prealgebra course, as well as the topics of estimation, elementary analytic geometry, and introductory algebra. It is intended for students who: have had previous courses in prealgebra wish to meet the prerequisites of higher level courses such as elementary algebra need to review fundamental mathematical concenpts and techniques This text will help the student devlop the insight and intuition necessary to master arithmetic techniques and manipulative skills. It was written with the following main objectives: to provide the student with an understandable and usable source of information to provide the student with the maximum oppurtinity to see that arithmetic concepts and techniques are logically based to instill in the student the understanding and intuitive skills necessary to know how and when to use particular arithmetic concepts in subsequent material cources and nonclassroom situations to give the students the ability to correctly interpret arithmetically obtained results We have tried to meet these objects by presenting material dynamically much the way an instructure might present the material visually in a classroom. (See the development of the concept of addition and subtraction of fractions in section 5.3 for examples) Intuition and understanding are some of the keys to creative thinking, we belive that the material presented in this text will help students realize that mathematics is a creative subject.
Author : Barbara Canton
Publisher :
ISBN 13 : 9780070977686
Total Pages : 620 pages
Book Rating : 4.9/5 (776 download)
Download or read book Mhr Foundations of Mathematics 10 written by Barbara Canton and published by . This book was released on 2007-02 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Marc Peter Deisenroth
Publisher : Cambridge University Press
ISBN 13 : 1108569323
Total Pages : 392 pages
Book Rating : 4.1/5 (85 download)
Download or read book Mathematics for Machine Learning written by Marc Peter Deisenroth and published by Cambridge University Press. This book was released on 2020-04-23 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fundamental mathematical tools needed to understand machine learning include linear algebra, analytic geometry, matrix decompositions, vector calculus, optimization, probability and statistics. These topics are traditionally taught in disparate courses, making it hard for data science or computer science students, or professionals, to efficiently learn the mathematics. This self-contained textbook bridges the gap between mathematical and machine learning texts, introducing the mathematical concepts with a minimum of prerequisites. It uses these concepts to derive four central machine learning methods: linear regression, principal component analysis, Gaussian mixture models and support vector machines. For students and others with a mathematical background, these derivations provide a starting point to machine learning texts. For those learning the mathematics for the first time, the methods help build intuition and practical experience with applying mathematical concepts. Every chapter includes worked examples and exercises to test understanding. Programming tutorials are offered on the book's web site.
Author : Mark H. Holmes
Publisher : Springer Science & Business Media
ISBN 13 : 0387877657
Total Pages : 477 pages
Book Rating : 4.3/5 (878 download)
Download or read book Introduction to the Foundations of Applied Mathematics written by Mark H. Holmes and published by Springer Science & Business Media. This book was released on 2009-06-18 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: FOAM. This acronym has been used for over ?fty years at Rensselaer to designate an upper-division course entitled, Foundations of Applied Ma- ematics. This course was started by George Handelman in 1956, when he came to Rensselaer from the Carnegie Institute of Technology. His objective was to closely integrate mathematical and physical reasoning, and in the p- cess enable students to obtain a qualitative understanding of the world we live in. FOAM was soon taken over by a young faculty member, Lee Segel. About this time a similar course, Introduction to Applied Mathematics, was introduced by Chia-Ch’iao Lin at the Massachusetts Institute of Technology. Together Lin and Segel, with help from Handelman, produced one of the landmark textbooks in applied mathematics, Mathematics Applied to - terministic Problems in the Natural Sciences. This was originally published in 1974, and republished in 1988 by the Society for Industrial and Applied Mathematics, in their Classics Series. This textbook comes from the author teaching FOAM over the last few years. In this sense, it is an updated version of the Lin and Segel textbook.
Author : Bob A. Dumas
Publisher : McGraw-Hill Education
ISBN 13 : 9780071106474
Total Pages : 0 pages
Book Rating : 4.1/5 (64 download)
Download or read book Transition to Higher Mathematics written by Bob A. Dumas and published by McGraw-Hill Education. This book was released on 2007 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written for students who have taken calculus and want to learn what "real mathematics" is.
Author : Di Chilvers
Publisher : Routledge
ISBN 13 : 0429649398
Total Pages : 245 pages
Book Rating : 4.4/5 (296 download)
Download or read book How to Recognise and Support Mathematical Mastery in Young Children’s Play written by Di Chilvers and published by Routledge. This book was released on 2021-07-12 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains how young children develop mathematically in their earliest years and shows the support and teaching needed by adults to accelerate their progress and attainment, helping them master mathematical concepts and skills. The practical guidance has been carefully developed over a number of years and is based on research undertaken with primary schools in Sheffield as part of the 'Talk for Maths Mastery' initiative. It recognises that children’s mathematical development is embedded within child-led play and connected to deeper levels of thinking and wider dispositions for learning. Maths is happening everywhere at any moment; we just need to keep an open mind, open eyes, and listen. Including case studies, links to practice and reflective questions, the chapters reveal what mastery orientation looks like from the children’s perspective in their learning and covers: children’s serve and return conversational talk mathematical babies and their developmental momentum schematic patterns of thinking mathematical mark-making child-led play problem solving creative and critical thinking how adults can support children’s mathematical talk, thinking and mastery This book will help all early years practitioners and teachers working with children throughout the EYFS and KS1 build their understanding, knowledge, experience and confidence of engaging in early mathematics.
Author : Felix Lev
Publisher : Springer Nature
ISBN 13 : 3030611019
Total Pages : 291 pages
Book Rating : 4.0/5 (36 download)
Download or read book Finite Mathematics as the Foundation of Classical Mathematics and Quantum Theory written by Felix Lev and published by Springer Nature. This book was released on 2020-11-03 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book delves into finite mathematics and its application in physics, particularly quantum theory. It is shown that quantum theory based on finite mathematics is more general than standard quantum theory, whilst finite mathematics is itself more general than standard mathematics.As a consequence, the mathematics describing nature at the most fundamental level involves only a finite number of numbers while the notions of limit, infinite/infinitesimal and continuity are needed only in calculations that describe nature approximately. It is also shown that the concepts of particle and antiparticle are likewise approximate notions, valid only in special situations, and that the electric charge and baryon- and lepton quantum numbers can be only approximately conserved.
Author : David Lippman
Publisher :
ISBN 13 : 9781479276530
Total Pages : 0 pages
Book Rating : 4.2/5 (765 download)
Download or read book Math in Society written by David Lippman and published by . This book was released on 2012-09-07 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Math in Society is a survey of contemporary mathematical topics, appropriate for a college-level topics course for liberal arts major, or as a general quantitative reasoning course.This book is an open textbook; it can be read free online at http://www.opentextbookstore.com/mathinsociety/. Editable versions of the chapters are available as well.
Author : Ken Stewart
Publisher :
ISBN 13 : 9780070002739
Total Pages : 169 pages
Book Rating : 4.0/5 (27 download)
Download or read book McGraw-Hill Ryerson Foundations of Mathematics 10 written by Ken Stewart and published by . This book was released on 2007 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michael D. Greenberg
Publisher : Pearson Education India
ISBN 13 : 9788177585469
Total Pages : 1350 pages
Book Rating : 4.5/5 (854 download)
Download or read book Advanced Engineering Mathematics written by Michael D. Greenberg and published by Pearson Education India. This book was released on 1998-09 with total page 1350 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Richard H. Hammack
Publisher :
ISBN 13 : 9780989472111
Total Pages : 314 pages
Book Rating : 4.4/5 (721 download)
Download or read book Book of Proof written by Richard H. Hammack and published by . This book was released on 2016-01-01 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity.
Author : R P Meena
Publisher : MYUPSC
ISBN 13 :
Total Pages : pages
Book Rating : 4./5 ( download)
Download or read book UP PGT Mathematics: 30+ Mock Test in English PDF download written by R P Meena and published by MYUPSC. This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: UP PGT Mathematics: 30+ Mock Test in English: Uttar Pradesh Madhyamik Shiksha Sewa Chayan Board (UPSESSB) Allahabad has announced the exam dates for Trained Graduate Teachers (TGT) on 07th-08th August 2021 and Post Graduate Teachers (PGT) on date 17th- 18th August 2021. The candidates who have applied for 15198 vacancies must buckle up their preparation as they have left with very less time. The proper preparation is a must to score good marks in the recruitment exam and get posted as a teacher in the government school. To help you, we have discussed the detailed exam pattern, syllabus, study material and test series that will be followed by UPSESSB in recruiting eligible candidates for TGT and PGT posts. UP PGT Online Test Series 2021 for Mathematics UP PGT Mathematics: 30+ Mock Test in English Details: Total Tests – 30+ Practice Test Subject – Mathematics Language – English Useful for UP PGT Exam Preparation. All the best.
