Reading Writing And Proving
DOWNLOAD
Download Reading Writing And Proving PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Reading Writing And Proving book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Reading Writing And Proving
DOWNLOAD
Author : Ulrich Daepp
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-18
Reading Writing And Proving written by Ulrich Daepp 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 2006-04-18 with Mathematics categories.
This book, based on Pólya's method of problem solving, aids students in their transition to higher-level mathematics. It begins by providing a great deal of guidance on how to approach definitions, examples, and theorems in mathematics and ends by providing projects for independent study. Students will follow Pólya's four step process: learn to understand the problem; devise a plan to solve the problem; carry out that plan; and look back and check what the results told them.
Foundations Of Reading Writing And Proving
DOWNLOAD
Author : Manish Joshi
language : en
Publisher: Educohack Press
Release Date : 2025-02-20
Foundations Of Reading Writing And Proving written by Manish Joshi and has been published by Educohack Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-20 with Social Science categories.
"Foundations of Reading, Writing, and Proving" is a comprehensive exploration of the interconnected processes that form the backbone of effective communication and critical thinking. We delve into the fundamental skills of reading, writing, and logical reasoning, offering a holistic approach to mastering these essential skills. We begin by examining the art of reading with comprehension and depth. Strategies for extracting meaning from texts, analyzing arguments, and evaluating evidence are explored through practical exercises and real-world examples. Moving on to writing, we provide a roadmap for effective communication. Techniques for crafting clear and compelling arguments, structuring essays and reports, and integrating evidence seamlessly are covered. A significant portion is dedicated to the art of proving, encompassing logical reasoning, argumentation, and critical thinking. We delve into deductive and inductive reasoning, constructing sound arguments, identifying fallacies, and assessing claim validity. The emphasis is on practical application and skill development, with exercises, case studies, and writing prompts designed to reinforce learning and encourage active participation. Whether students looking to enhance academic skills or professionals seeking to improve communication abilities, this book is a valuable resource. "Foundations of Reading, Writing, and Proving" empowers readers to engage critically with information, communicate effectively, and construct persuasive arguments grounded in sound evidence.
Reading Writing And Proving
DOWNLOAD
Author : Ulrich Daepp
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-23
Reading Writing And Proving written by Ulrich Daepp 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 2011-06-23 with Mathematics categories.
This book, which is based on Pólya's method of problem solving, aids students in their transition from calculus (or precalculus) to higher-level mathematics. The book begins by providing a great deal of guidance on how to approach definitions, examples, and theorems in mathematics and ends with suggested projects for independent study. Students will follow Pólya's four step approach: analyzing the problem, devising a plan to solve the problem, carrying out that plan, and then determining the implication of the result. In addition to the Pólya approach to proofs, this book places special emphasis on reading proofs carefully and writing them well. The authors have included a wide variety of problems, examples, illustrations and exercises, some with hints and solutions, designed specifically to improve the student's ability to read and write proofs. Historical connections are made throughout the text, and students are encouraged to use the rather extensivebibliography to begin making connections of their own. While standard texts in this area prepare students for future courses in algebra, this book also includes chapters on sequences, convergence, and metric spaces for those wanting to bridge the gap between the standard course in calculus and one in analysis.
How To Prove It
DOWNLOAD
Author : Daniel J. Velleman
language : en
Publisher: Cambridge University Press
Release Date : 2006-01-16
How To Prove It written by Daniel J. Velleman and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-16 with Mathematics categories.
Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman's successful text will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. The author shows how complex proofs are built up from these smaller steps, using detailed 'scratch work' sections to expose the machinery of proofs about the natural numbers, relations, functions, and infinite sets. To give students the opportunity to construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. This book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and of course mathematicians.
Book Of Proof
DOWNLOAD
Author : Richard H. Hammack
language : en
Publisher:
Release Date : 2013-05
Book Of Proof written by Richard H. Hammack and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05 with Mathematics categories.
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. Topics include sets, logic, counting, methods of conditional and non-conditional proof, disproof, induction, relations, functions and infinite cardinality.
Mathematical Reasoning
DOWNLOAD
Author : Theodore A. Sundstrom
language : en
Publisher:
Release Date : 2003
Mathematical Reasoning written by Theodore A. Sundstrom and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Proof theory categories.
Focusing on the formal development of mathematics, this book demonstrates how to read and understand, write and construct mathematical proofs. It emphasizes active learning, and uses elementary number theory and congruence arithmetic throughout. Chapter content covers an introduction to writing in mathematics, logical reasoning, constructing proofs, set theory, mathematical induction, functions, equivalence relations, topics in number theory, and topics in set theory. For learners making the transition form calculus to more advanced mathematics.
The Nuts And Bolts Of Proofs
DOWNLOAD
Author : Antonella Cupillari
language : en
Publisher: Academic Press
Release Date : 2011-11-25
The Nuts And Bolts Of Proofs written by Antonella Cupillari and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-25 with Mathematics categories.
The Nuts and Bolts of Proofs: An Introduction to Mathematical Proofs provides basic logic of mathematical proofs and shows how mathematical proofs work. It offers techniques for both reading and writing proofs. The second chapter of the book discusses the techniques in proving if/then statements by contrapositive and proofing by contradiction. It also includes the negation statement, and/or. It examines various theorems, such as the if and only-if, or equivalence theorems, the existence theorems, and the uniqueness theorems. In addition, use of counter examples, mathematical induction, composite statements including multiple hypothesis and multiple conclusions, and equality of numbers are covered in this chapter. The book also provides mathematical topics for practicing proof techniques. Included here are the Cartesian products, indexed families, functions, and relations. The last chapter of the book provides review exercises on various topics. Undergraduate students in engineering and physical science will find this book invaluable. - Jumps right in with the needed vocabulary—gets students thinking like mathematicians from the beginning - Offers a large variety of examples and problems with solutions for students to work through on their own - Includes a collection of exercises without solutions to help instructors prepare assignments - Contains an extensive list of basic mathematical definitions and concepts needed in abstract mathematics
Principia Mathematica
DOWNLOAD
Author : Alfred North Whitehead
language : en
Publisher: Cambridge University Press
Release Date : 1927
Principia Mathematica written by Alfred North Whitehead and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1927 with Mathematics categories.
The Principia Mathematica has long been recognised as one of the intellectual landmarks of the century.
Mathematical Writing
DOWNLOAD
Author : Franco Vivaldi
language : en
Publisher: Springer
Release Date : 2014-11-04
Mathematical Writing written by Franco Vivaldi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-04 with Mathematics categories.
This book teaches the art of writing mathematics, an essential -and difficult- skill for any mathematics student. The book begins with an informal introduction on basic writing principles and a review of the essential dictionary for mathematics. Writing techniques are developed gradually, from the small to the large: words, phrases, sentences, paragraphs, to end with short compositions. These may represent the introduction of a concept, the abstract of a presentation or the proof of a theorem. Along the way the student will learn how to establish a coherent notation, mix words and symbols effectively, write neat formulae, and structure a definition. Some elements of logic and all common methods of proofs are featured, including various versions of induction and existence proofs. The book concludes with advice on specific aspects of thesis writing (choosing of a title, composing an abstract, compiling a bibliography) illustrated by large number of real-life examples. Many exercises are included; over 150 of them have complete solutions, to facilitate self-study. Mathematical Writing will be of interest to all mathematics students who want to raise the quality of their coursework, reports, exams, and dissertations.
A Basic Course In Real Analysis
DOWNLOAD
Author : Ajit Kumar
language : en
Publisher: CRC Press
Release Date : 2014-01-10
A Basic Course In Real Analysis written by Ajit Kumar and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-10 with Mathematics categories.
Based on the authors' combined 35 years of experience in teaching, A Basic Course in Real Analysis introduces students to the aspects of real analysis in a friendly way. The authors offer insights into the way a typical mathematician works observing patterns, conducting experiments by means of looking at or creating examples, trying to understand t