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Author : Dino Dottori
Publisher : Scarborough, Ont. : McGraw-Hill Ryerson
ISBN 13 : 9780075487326
Total Pages : 546 pages
Book Rating : 4.4/5 (873 download)
Download or read book Foundations of Mathematics 12 written by Dino Dottori and published by Scarborough, Ont. : McGraw-Hill Ryerson. This book was released on 1987 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : William S. Hatcher
Publisher : Elsevier
ISBN 13 : 1483189635
Total Pages : 331 pages
Book Rating : 4.4/5 (831 download)
Download or read book The Logical Foundations of Mathematics written by William S. Hatcher and published by Elsevier. This book was released on 2014-05-09 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Logical Foundations of Mathematics offers a study of the foundations of mathematics, stressing comparisons between and critical analyses of the major non-constructive foundational systems. The position of constructivism within the spectrum of foundational philosophies is discussed, along with the exact relationship between topos theory and set theory. Comprised of eight chapters, this book begins with an introduction to first-order logic. In particular, two complete systems of axioms and rules for the first-order predicate calculus are given, one for efficiency in proving metatheorems, and the other, in a "natural deduction" style, for presenting detailed formal proofs. A somewhat novel feature of this framework is a full semantic and syntactic treatment of variable-binding term operators as primitive symbols of logic. Subsequent chapters focus on the origin of modern foundational studies; Gottlob Frege's formal system intended to serve as a foundation for mathematics and its paradoxes; the theory of types; and the Zermelo-Fraenkel set theory. David Hilbert's program and Kurt Gödel's incompleteness theorems are also examined, along with the foundational systems of W. V. Quine and the relevance of categorical algebra for foundations. This monograph will be of interest to students, teachers, practitioners, and researchers in mathematics.
Author : Richard Johnsonbaugh
Publisher : Courier Corporation
ISBN 13 : 0486134776
Total Pages : 450 pages
Book Rating : 4.4/5 (861 download)
Download or read book Foundations of Mathematical Analysis written by Richard Johnsonbaugh and published by Courier Corporation. This book was released on 2012-09-11 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: Definitive look at modern analysis, with views of applications to statistics, numerical analysis, Fourier series, differential equations, mathematical analysis, and functional analysis. More than 750 exercises; some hints and solutions. 1981 edition.
Author : Matthias Baaz
Publisher : Cambridge University Press
ISBN 13 : 1139498436
Total Pages : 541 pages
Book Rating : 4.1/5 (394 download)
Download or read book Kurt Gödel and the Foundations of Mathematics written by Matthias Baaz and published by Cambridge University Press. This book was released on 2011-06-06 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume commemorates the life, work and foundational views of Kurt Gödel (1906–78), most famous for his hallmark works on the completeness of first-order logic, the incompleteness of number theory, and the consistency - with the other widely accepted axioms of set theory - of the axiom of choice and of the generalized continuum hypothesis. It explores current research, advances and ideas for future directions not only in the foundations of mathematics and logic, but also in the fields of computer science, artificial intelligence, physics, cosmology, philosophy, theology and the history of science. The discussion is supplemented by personal reflections from several scholars who knew Gödel personally, providing some interesting insights into his life. By putting his ideas and life's work into the context of current thinking and perceptions, this book will extend the impact of Gödel's fundamental work in mathematics, logic, philosophy and other disciplines for future generations of researchers.
Author : Michael D. Greenberg
Publisher : Courier Corporation
ISBN 13 : 0486492796
Total Pages : 660 pages
Book Rating : 4.4/5 (864 download)
Download or read book Foundations of Applied Mathematics written by Michael D. Greenberg and published by Courier Corporation. This book was released on 2013-01-01 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A longtime classic text in applied mathematics, this volume also serves as a reference for undergraduate and graduate students of engineering. Topics include real variable theory, complex variables, linear analysis, partial and ordinary differential equations, and other subjects. Answers to selected exercises are provided, along with Fourier and Laplace transformation tables and useful formulas. 1978 edition"--
Author : Alfred Renyi
Publisher : Courier Corporation
ISBN 13 : 0486462617
Total Pages : 386 pages
Book Rating : 4.4/5 (864 download)
Download or read book Foundations of Probability written by Alfred Renyi and published by Courier Corporation. This book was released on 2007-01-01 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introducing many innovations in content and methods, this book involves the foundations, basic concepts, and fundamental results of probability theory. Geared toward readers seeking a firm basis for study of mathematical statistics or information theory, it also covers the mathematical notions of experiments and independence. 1970 edition.
Author : Raymond L. Wilder
Publisher : Courier Corporation
ISBN 13 : 0486276201
Total Pages : 352 pages
Book Rating : 4.4/5 (862 download)
Download or read book Introduction to the Foundations of Mathematics written by Raymond L. Wilder and published by Courier Corporation. This book was released on 2013-09-26 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classic undergraduate text acquaints students with fundamental concepts and methods of mathematics. Topics include axiomatic method, set theory, infinite sets, groups, intuitionism, formal systems, mathematical logic, and much more. 1965 second edition.
Author : Castle Rock Research Corp
Publisher :
ISBN 13 : 9781553714538
Total Pages : 232 pages
Book Rating : 4.7/5 (145 download)
Download or read book Principles of Math 12 written by Castle Rock Research Corp and published by . This book was released on 2007-01-01 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Frank Plumpton Ramsey
Publisher : Routledge
ISBN 13 : 1134528108
Total Pages : 312 pages
Book Rating : 4.1/5 (345 download)
Download or read book Foundations of Mathematics and other Logical Essays written by Frank Plumpton Ramsey and published by Routledge. This book was released on 2013-10-15 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is Volume V in a series of eight on the Philosophy of Logic and Mathematics. Originally published in 1931, this study offers a collection of logical essays around the topic of the foundations of mathematics. Though mathematical teaching was Ramsey's profession, philosophy was his vocation. Reared on the logic of Principia Mathematica, he was early to see the importance of Dr. Wittgenstein's work (in the translation of which he assisted); and his own published papers were largely based on this. But the previously unprinted essays and notes collected in this volume show him moving towards a kind of pragmatism, and the general treatise on logic upon which at various times he had been engaged was to have treated truth and knowledge as purely natural phenomena to be explained psychologically without recourse to distinctively logical relations.
Author : Cathy Canavan-McGrath
Publisher :
ISBN 13 : 9780176502706
Total Pages : 595 pages
Book Rating : 4.5/5 (27 download)
Download or read book Foundations of Mathematics 11 WNCP written by Cathy Canavan-McGrath and published by . This book was released on 2011-05-26 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: This educational resource has been developed by many writers and consultants to bring the very best of mathematics to you.
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 : David C. Geary
Publisher : Academic Press
ISBN 13 : 0128159537
Total Pages : 377 pages
Book Rating : 4.1/5 (281 download)
Download or read book Cognitive Foundations for Improving Mathematical Learning written by David C. Geary and published by Academic Press. This book was released on 2019-01-03 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fifth volume in the Mathematical Cognition and Learning series focuses on informal learning environments and other parental influences on numerical cognitive development and formal instructional interventions for improving mathematics learning and performance. The chapters cover the use of numerical play and games for improving foundational number knowledge as well as school math performance, the link between early math abilities and the approximate number system, and how families can help improve the early development of math skills. The book goes on to examine learning trajectories in early mathematics, the role of mathematical language in acquiring numeracy skills, evidence-based assessments of early math skills, approaches for intensifying early mathematics interventions, the use of analogies in mathematics instruction, schema-based diagrams for teaching ratios and proportions, the role of cognitive processes in treating mathematical learning difficulties, and addresses issues associated with intervention fadeout. Identifies the relative influence of school and family on math learning Discusses the efficacy of numerical play for improvement in math Features learning trajectories in math Examines the role of math language in numeracy skills Includes assessments of math skills Explores the role of cognition in treating math-based learning difficulties
Author :
Publisher :
ISBN 13 : 9780176527037
Total Pages : 657 pages
Book Rating : 4.5/5 (27 download)
Download or read book Foundations of Mathematics 12 written by and published by . This book was released on 2012 with total page 657 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Cathy Canavan-McGrath
Publisher :
ISBN 13 : 9780176504229
Total Pages : 657 pages
Book Rating : 4.5/5 (42 download)
Download or read book Foundations of Mathematics Twelve written by Cathy Canavan-McGrath and published by . This book was released on 2012 with total page 657 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Fiona Budgen
Publisher : Taylor & Francis
ISBN 13 : 1000249557
Total Pages : 265 pages
Book Rating : 4.0/5 (2 download)
Download or read book Foundations of Primary Mathematics Education written by Fiona Budgen and published by Taylor & Francis. This book was released on 2020-07-28 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many pre-service teachers admit to feeling unsure about the mathematics they will have to teach in primary school. Others find it difficult to know how to apply the theories of teaching and learning they study in other courses to the teaching of mathematics. This book begins by outlining some of the key considerations of effective mathematics teaching and learning. These include understanding student motivation, classroom management, overcoming maths anxiety and developing a positive learning environment. The authors also introduce the curriculum and assessment processes, and explore the use of ICT in the maths classroom. Part B outlines in a straightforward and accessible style the mathematical content knowledge required of a primary teacher. The content extends beyond the primary level to Year 9 of the Australian Curriculum as, while primary teachers may not have to teach this content, knowing it is a key part of being a strong teacher and will assist pre-service teachers to meet the requirements of the LANTITE (the Literacy and Numeracy Test for Initial Teacher Education students). Featuring graphics and worked examples and using clear and friendly language throughout, this is the essential introduction for students wishing to begin teaching primary mathematics with confidence and enthusiasm. 'The writing style is clean and uncomplicated; exactly what my maths education students need. The blend of theories, curriculum, planning, assessment and mathematical content knowledge strikes the balance that is missing in many texts.' -- Dr Geoff Hilton, University of Queensland
Author : G. T. Kneebone
Publisher : Dover Publications
ISBN 13 : 9780486417127
Total Pages : 0 pages
Book Rating : 4.4/5 (171 download)
Download or read book Mathematical Logic and the Foundations of Mathematics written by G. T. Kneebone and published by Dover Publications. This book was released on 2001 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ideal for students intending to specialize in the topic. Part I discusses traditional and symbolic logic. Part II explores the foundations of mathematics. Part III focuses on the philosophy of mathematics.
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:
