A Transition To Proof
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A Transition To Proof
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Author : Neil R. Nicholson
language : en
Publisher: CRC Press
Release Date : 2019-03-21
A Transition To Proof written by Neil R. Nicholson and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-21 with Mathematics categories.
A Transition to Proof: An Introduction to Advanced Mathematics describes writing proofs as a creative process. There is a lot that goes into creating a mathematical proof before writing it. Ample discussion of how to figure out the "nuts and bolts'" of the proof takes place: thought processes, scratch work and ways to attack problems. Readers will learn not just how to write mathematics but also how to do mathematics. They will then learn to communicate mathematics effectively. The text emphasizes the creativity, intuition, and correct mathematical exposition as it prepares students for courses beyond the calculus sequence. The author urges readers to work to define their mathematical voices. This is done with style tips and strict "mathematical do’s and don’ts", which are presented in eye-catching "text-boxes" throughout the text. The end result enables readers to fully understand the fundamentals of proof. Features: The text is aimed at transition courses preparing students to take analysis Promotes creativity, intuition, and accuracy in exposition The language of proof is established in the first two chapters, which cover logic and set theory Includes chapters on cardinality and introductory topology
A Transition To Mathematics With Proofs
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Author : Michael J. Cullinane
language : en
Publisher: Jones & Bartlett Publishers
Release Date : 2013
A Transition To Mathematics With Proofs written by Michael J. Cullinane and has been published by Jones & Bartlett Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Mathematics categories.
Developed for the "transition" course for mathematics majors moving beyond the primarily procedural methods of their calculus courses toward a more abstract and conceptual environment found in more advanced courses, A Transition to Mathematics with Proofs emphasizes mathematical rigor and helps students learn how to develop and write mathematical proofs. The author takes great care to develop a text that is accessible and readable for students at all levels. It addresses standard topics such as set theory, number system, logic, relations, functions, and induction in at a pace appropriate for a wide range of readers. Throughout early chapters students gradually become aware of the need for rigor, proof, and precision, and mathematical ideas are motivated through examples.
Introduction To Mathematical Proofs
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Author : Charles E. Roberts
language : en
Publisher:
Release Date : 2015
Introduction To Mathematical Proofs written by Charles E. Roberts and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with categories.
Introduction To Mathematical Proofs Second Edition
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Author : Charles Roberts
language : en
Publisher: Chapman and Hall/CRC
Release Date : 2014-12-17
Introduction To Mathematical Proofs Second Edition written by Charles Roberts and has been published by Chapman and Hall/CRC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-17 with Mathematics categories.
Introduction to Mathematical Proofs helps students develop the necessary skills to write clear, correct, and concise proofs. Unlike similar textbooks, this one begins with logic since it is the underlying language of mathematics and the basis of reasoned arguments. The text then discusses deductive mathematical systems and the systems of natural numbers, integers, rational numbers, and real numbers. It also covers elementary topics in set theory, explores various properties of relations and functions, and proves several theorems using induction. The final chapters introduce the concept of cardinalities of sets and the concepts and proofs of real analysis and group theory. In the appendix, the author includes some basic guidelines to follow when writing proofs. This new edition includes more than 125 new exercises in sections titled More Challenging Exercises. Also, numerous examples illustrate in detail how to write proofs and show how to solve problems. These examples can serve as models for students to emulate when solving exercises. Several biographical sketches and historical comments have been included to enrich and enliven the text. Written in a conversational style, yet maintaining the proper level of mathematical rigor, this accessible book teaches students to reason logically, read proofs critically, and write valid mathematical proofs. It prepares them to succeed in more advanced mathematics courses, such as abstract algebra and analysis.
Proof And Proving In Mathematics Education
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Author : Gila Hanna
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-06-14
Proof And Proving In Mathematics Education written by Gila Hanna and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-14 with Education categories.
*THIS BOOK IS AVAILABLE AS OPEN ACCESS BOOK ON SPRINGERLINK* One of the most significant tasks facing mathematics educators is to understand the role of mathematical reasoning and proving in mathematics teaching, so that its presence in instruction can be enhanced. This challenge has been given even greater importance by the assignment to proof of a more prominent place in the mathematics curriculum at all levels. Along with this renewed emphasis, there has been an upsurge in research on the teaching and learning of proof at all grade levels, leading to a re-examination of the role of proof in the curriculum and of its relation to other forms of explanation, illustration and justification. This book, resulting from the 19th ICMI Study, brings together a variety of viewpoints on issues such as: The potential role of reasoning and proof in deepening mathematical understanding in the classroom as it does in mathematical practice. The developmental nature of mathematical reasoning and proof in teaching and learning from the earliest grades. The development of suitable curriculum materials and teacher education programs to support the teaching of proof and proving. The book considers proof and proving as complex but foundational in mathematics. Through the systematic examination of recent research this volume offers new ideas aimed at enhancing the place of proof and proving in our classrooms.
Mathematical Proofs
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Author : Gary Chartrand
language : en
Publisher: Addison Wesley Longman
Release Date : 2008
Mathematical Proofs written by Gary Chartrand and has been published by Addison Wesley Longman this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
Mathematical Proofs: A Transition to Advanced Mathematics, Second Edition, prepares students for the more abstract mathematics courses that follow calculus. This text introduces students to proof techniques and writing proofs of their own. As such, it is an introduction to the mathematics enterprise, providing solid introductions to relations, functions, and cardinalities of sets.
Tests And Proofs
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Author : Virgile Prevosto
language : en
Publisher: Springer Nature
Release Date : 2023-07-19
Tests And Proofs written by Virgile Prevosto and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-19 with Philosophy categories.
This book constitutes the proceedings of the 17th International Conference, TAP 2023, as part of STAF 2023, a federation of conferences on Software Technologies, Applications and Foundations, which includes two more conferences besides TAP: ICGT (International Conference on Graph Transformations), and ECMFA (European Conference on Modelling Foundations and Applications) in Leicester, UK, in July 2023. The 8 full papers together with 2 short papers included in this volume were carefully reviewed and selected from 14 submissions. They were organized in topical sections on Low-level Code Verification, Formal Models, Model-based test generation, and Abstraction and Refinement.
Introduction To Mathematical Proofs
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Author : Charles Roberts
language : en
Publisher: CRC Press
Release Date : 2009-06-24
Introduction To Mathematical Proofs written by Charles Roberts and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-24 with Mathematics categories.
Shows How to Read & Write Mathematical ProofsIdeal Foundation for More Advanced Mathematics CoursesIntroduction to Mathematical Proofs: A Transition facilitates a smooth transition from courses designed to develop computational skills and problem solving abilities to courses that emphasize theorem proving. It helps students develop the skills n
A Calculus Of Distributed And Parallel Processes
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Author : Clemens H. Cap
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
A Calculus Of Distributed And Parallel Processes written by Clemens H. Cap and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
It is the good reader that makes the good book. RALPH WALDO EMERSON, Society & Solitude. In the course of two projects, the author of this book was involved in the design of the platforms PARFORM [CS93) and LOLA [Cap94), [CS) for the support of parallel computing in distributed systems. The former system was geared towards the highly efficient use of idle resources in networks of workstations, and the latter system was intended as a scalability study: How many workstations in the global Internet can be used simultaneously for solving a massively parallel problem? In one of the experiments conducted with these systems, up to 800 workstations on all five continents were cooperating for the solution of a search problem from molecular biology [Cap94). The most important lessons which the author was forced to learn during the course of these projects were not to rely on any documentation of network-and low-level system-calls, to use neither common sense nor mathematical logic during the design of a large distributed system, but to be happy with a working program, and not to ask, why it would work.
Proof Language And Interaction
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Author : Robin Milner
language : en
Publisher: MIT Press
Release Date : 2000
Proof Language And Interaction written by Robin Milner and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Computers categories.
This collection of essays reflects the breadth of research in computer science. Following a biography of Robin Milner it contains sections on semantic foundations; programming logic; programming languages; concurrency; and mobility.