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Author : Robert E. Edwards (Mathematiker)
Publisher :
ISBN 13 : 9783540905134
Total Pages : 606 pages
Book Rating : 4.9/5 (51 download)
Download or read book A Formal Background to Mathematics written by Robert E. Edwards (Mathematiker) and published by . This book was released on 1979 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert E. Edwards
Publisher :
ISBN 13 :
Total Pages : 486 pages
Book Rating : 4.3/5 (91 download)
Download or read book A Formal Background to Mathematics written by Robert E. Edwards and published by . This book was released on 1979 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : R. E. Edwards
Publisher : Springer Science & Business Media
ISBN 13 : 1461299845
Total Pages : 968 pages
Book Rating : 4.4/5 (612 download)
Download or read book A Formal Background to Mathematics written by R. E. Edwards and published by Springer Science & Business Media. This book was released on 2013-12-18 with total page 968 pages. Available in PDF, EPUB and Kindle. Book excerpt: §1 Faced by the questions mentioned in the Preface I was prompted to write this book on the assumption that a typical reader will have certain characteristics. He will presumably be familiar with conventional accounts of certain portions of mathematics and with many so-called mathematical statements, some of which (the theorems) he will know (either because he has himself studied and digested a proof or because he accepts the authority of others) to be true, and others of which he will know (by the same token) to be false. He will nevertheless be conscious of and perturbed by a lack of clarity in his own mind concerning the concepts of proof and truth in mathematics, though he will almost certainly feel that in mathematics these concepts have special meanings broadly similar in outward features to, yet different from, those in everyday life; and also that they are based on criteria different from the experimental ones used in science. He will be aware of statements which are as yet not known to be either true or false (unsolved problems). Quite possibly he will be surprised and dismayed by the possibility that there are statements which are "definite" (in the sense of involving no free variables) and which nevertheless can never (strictly on the basis of an agreed collection of axioms and an agreed concept of proof) be either proved or disproved (refuted).
Author : Robert E. Edwards
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (63 download)
Download or read book A Formal Background to Mathematics written by Robert E. Edwards and published by . This book was released on 1979 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert Edmund Edwards
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (834 download)
Download or read book A Formal Background to Mathematics written by Robert Edmund Edwards and published by . This book was released on 1979 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : R. Edwards
Publisher :
ISBN 13 : 9783540904311
Total Pages : pages
Book Rating : 4.9/5 (43 download)
Download or read book Logic, Sets and Numbers written by R. Edwards and published by . This book was released on 1980 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert E. Edwards
Publisher :
ISBN 13 : 9781461380979
Total Pages : 0 pages
Book Rating : 4.3/5 (89 download)
Download or read book A formal background to mathematics written by Robert E. Edwards and published by . This book was released on 1979 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : R. E. Edwards
Publisher : Springer Science & Business Media
ISBN 13 : 1461380960
Total Pages : 651 pages
Book Rating : 4.4/5 (613 download)
Download or read book A Formal Background to Mathematics 2a written by R. E. Edwards and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 651 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 606 pages
Book Rating : 4.:/5 (926 download)
Download or read book A Formal Background to Mathematics written by and published by . This book was released on 1979 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : H. S. Wall
Publisher : American Mathematical Soc.
ISBN 13 : 0883857502
Total Pages : 219 pages
Book Rating : 4.8/5 (838 download)
Download or read book Creative Mathematics written by H. S. Wall and published by American Mathematical Soc.. This book was released on 2006-12-31 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: Professor H. S. Wall (1902-1971) developed Creative Mathematics over a period of many years of working with students at the University of Texas, Austin. His aim was to lead students to develop their mathematical abilities, to help them learn the art of mathematics, and to teach them to create mathematical ideas. This book, according to Wall, ``is not a compendium of mathematical facts and inventions to be read over as a connoisseur of art looks over paintings. It is, instead, a sketchbook in which readers try their hands at mathematical discovery.'' In less than two hundred pages, he takes the reader on a stimulating tour starting with numbers, and then moving on to simple graphs, the integral, simple surfaces, successive approximations, linear spaces of simple graphs, and concluding with mechanical systems. The book is self contained, and assumes little formal mathematical background on the part of the reader.
Author : Mark Kac
Publisher : Courier Corporation
ISBN 13 : 0486670856
Total Pages : 189 pages
Book Rating : 4.4/5 (866 download)
Download or read book Mathematics and Logic written by Mark Kac and published by Courier Corporation. This book was released on 1992-01-01 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fascinating study of the origin and nature of mathematical thought, including relation of mathematics and science, 20th-century developments, impact of computers, and more.Includes 34 illustrations. 1968 edition."
Author : Robert E. Edwards
Publisher :
ISBN 13 :
Total Pages : 490 pages
Book Rating : 4.3/5 (97 download)
Download or read book A Formal Background to Mathematics: Logic, sets, and numbers. 2 v written by Robert E. Edwards and published by . This book was released on 1979 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : R. E. Edwards
Publisher : Springer
ISBN 13 : 9780387905136
Total Pages : 606 pages
Book Rating : 4.9/5 (51 download)
Download or read book A Formal Background to Mathematics 2a written by R. E. Edwards and published by Springer. This book was released on 1980-10-20 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Pavel Pudlák
Publisher : Springer Science & Business Media
ISBN 13 : 3319001191
Total Pages : 699 pages
Book Rating : 4.3/5 (19 download)
Download or read book Logical Foundations of Mathematics and Computational Complexity written by Pavel Pudlák and published by Springer Science & Business Media. This book was released on 2013-04-22 with total page 699 pages. Available in PDF, EPUB and Kindle. Book excerpt: The two main themes of this book, logic and complexity, are both essential for understanding the main problems about the foundations of mathematics. Logical Foundations of Mathematics and Computational Complexity covers a broad spectrum of results in logic and set theory that are relevant to the foundations, as well as the results in computational complexity and the interdisciplinary area of proof complexity. The author presents his ideas on how these areas are connected, what are the most fundamental problems and how they should be approached. In particular, he argues that complexity is as important for foundations as are the more traditional concepts of computability and provability. Emphasis is on explaining the essence of concepts and the ideas of proofs, rather than presenting precise formal statements and full proofs. Each section starts with concepts and results easily explained, and gradually proceeds to more difficult ones. The notes after each section present some formal definitions, theorems and proofs. Logical Foundations of Mathematics and Computational Complexity is aimed at graduate students of all fields of mathematics who are interested in logic, complexity and foundations. It will also be of interest for both physicists and philosophers who are curious to learn the basics of logic and complexity theory.
Author : Alfred North Whitehead
Publisher :
ISBN 13 :
Total Pages : 688 pages
Book Rating : 4.3/5 (91 download)
Download or read book Principia Mathematica written by Alfred North Whitehead and published by . This book was released on 1910 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. G. Hamilton
Publisher : Cambridge University Press
ISBN 13 : 9780521287616
Total Pages : 272 pages
Book Rating : 4.2/5 (876 download)
Download or read book Numbers, Sets and Axioms written by A. G. Hamilton and published by Cambridge University Press. This book was released on 1982 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Following the success of Logic for Mathematicians, Dr Hamilton has written a text for mathematicians and students of mathematics that contains a description and discussion of the fundamental conceptual and formal apparatus upon which modern pure mathematics relies. The author's intention is to remove some of the mystery that surrounds the foundations of mathematics. He emphasises the intuitive basis of mathematics; the basic notions are numbers and sets and they are considered both informally and formally. The role of axiom systems is part of the discussion but their limitations are pointed out. Formal set theory has its place in the book but Dr Hamilton recognises that this is a part of mathematics and not the basis on which it rests. Throughout, the abstract ideas are liberally illustrated by examples so this account should be well-suited, both specifically as a course text and, more broadly, as background reading. The reader is presumed to have some mathematical experience but no knowledge of mathematical logic is required.
Author : Fran Arbaugh
Publisher : Corwin Press
ISBN 13 : 150637817X
Total Pages : 342 pages
Book Rating : 4.5/5 (63 download)
Download or read book We Reason & We Prove for ALL Mathematics written by Fran Arbaugh and published by Corwin Press. This book was released on 2018-08-08 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sharpen concrete teaching strategies that empower students to reason-and-prove How do teachers and students benefit from engaging in reasoning-and-proving? What strategies can teachers use to support students’ capacity to reason-and-prove? What does reasoning-and-proving instruction look like? We Reason & We Prove for ALL Mathematics helps mathematics teachers in grades 6-12 engage in the critical practice of reasoning-and-proving and support the development of reasoning-and-proving in their students. The phrase "reasoning-and-proving" describes the processes of identifying patterns, making conjectures, and providing arguments that may or may not qualify as proofs – processes that reflect the work of mathematicians. Going beyond the idea of "formal proof" traditionally relegated only to geometry, this book transcends all mathematical content areas with a variety of activities for teachers to learn more about reasoning-and-proving and about how to support students’ capacities to engage in this mathematical thinking through: Solving and discussing high-level mathematical tasks Analyzing narrative cases that make the relationship between teaching and learning salient Examining and interpreting student work that features a range of solution strategies, representations, and misconceptions Modifying tasks from curriculum materials so that they better support students to reason-and-prove Evaluating learning environments and making connections between key ideas about reasoning-and-proving and teaching strategies We Reason & We Prove for ALL Mathematics is designed as a learning tool for practicing and pre-service mathematics teachers and can be used individually or in a group. No other book tackles reasoning-and-proving with such breadth, depth, and practical applicability. Classroom examples, case studies, and sample problems help to sharpen concrete teaching strategies that empower students to reason-and-prove!
