Mathematical Proofs A Transition To Advanced Mathematics


Mathematical Proofs A Transition To Advanced Mathematics
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Mathematical Proofs


Mathematical Proofs
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Author : Gary Chartrand
language : en
Publisher: Pearson Educacion
Release Date : 2013

Mathematical Proofs written by Gary Chartrand and has been published by Pearson Educacion this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Logic, Symbolic and mathematical categories.


This book prepares students for the more abstract mathematics courses that follow calculus. The author introduces students to proof techniques, analyzing proofs, and writing proofs of their own. It also provides a solid introduction to such topics as relations, functions, and cardinalities of sets, as well as the theoretical aspects of fields such as number theory, abstract algebra, and group theory.



Mathematical Proofs


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.



Mathematical Proofs A Transition To Advanced Mathematics


Mathematical Proofs A Transition To Advanced Mathematics
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Author : Gary Chartrand
language : en
Publisher: Pearson Higher Ed
Release Date : 2013-10-03

Mathematical Proofs A Transition To Advanced Mathematics written by Gary Chartrand and has been published by Pearson Higher Ed this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-03 with Mathematics categories.


Mathematical Proofs: A Transition to Advanced Mathematics, Third Edition, prepares students for the more abstract mathematics courses that follow calculus. Appropriate for self-study or for use in the classroom, this text introduces students to proof techniques, analyzing proofs, and writing proofs of their own. Written in a clear, conversational style, this book provides a solid introduction to such topics as relations, functions, and cardinalities of sets, as well as the theoretical aspects of fields such as number theory, abstract algebra, and group theory. It is also a great reference text that students can look back to when writing or reading proofs in their more advanced courses.



Introduction To Mathematical Proofs


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.




Mathematical Proofs


Mathematical Proofs
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Author : Gary Chartrand
language : en
Publisher: Pearson
Release Date : 2017-10-31

Mathematical Proofs written by Gary Chartrand and has been published by Pearson this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-31 with categories.


NOTE: This edition features the same content as the traditional text in a convenient, three-hole-punched, loose-leaf version. Books a la Carte also offer a great value; this format costs significantly less than a new textbook. Before purchasing, check with your instructor or review your course syllabus to ensure that you select the correct ISBN. For Books a la Carte editions that include MyLab(tm) or Mastering(tm), several versions may exist for each title -- including customized versions for individual schools -- and registrations are not transferable. In addition, you may need a Course ID, provided by your instructor, to register for and use MyLab or Mastering products. For courses in Transition to Advanced Mathematics or Introduction to Proof. Meticulously crafted, student-friendly text that helps build mathematical maturity Mathematical Proofs: A Transition to Advanced Mathematics, 4th Edition introduces students to proof techniques, analyzing proofs, and writing proofs of their own that are not only mathematically correct but clearly written. Written in a student-friendly manner, it provides a solid introduction to such topics as relations, functions, and cardinalities of sets, as well as optional excursions into fields such as number theory, combinatorics, and calculus. The exercises receive consistent praise from users for their thoughtfulness and creativity. They help students progress from understanding and analyzing proofs and techniques to producing well-constructed proofs independently. This book is also an excellent reference for students to use in future courses when writing or reading proofs. 013484047X / 9780134840475 Chartrand/Polimeni/Zhang, Mathematical Proofs: A Transition to Advanced Mathematics, Books a la Carte Edition, 4/e



Mathematical Writing


Mathematical Writing
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Author : Donald E. Knuth
language : en
Publisher: Cambridge University Press
Release Date : 1989

Mathematical Writing written by Donald E. Knuth 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 1989 with Language Arts & Disciplines categories.


This book will help those wishing to teach a course in technical writing, or who wish to write themselves.



A Transition To Advanced Mathematics


A Transition To Advanced Mathematics
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Author : Douglas Smith
language : en
Publisher: Cengage Learning
Release Date : 2010-06-01

A Transition To Advanced Mathematics written by Douglas Smith and has been published by Cengage Learning this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-01 with Mathematics categories.


A TRANSITION TO ADVANCED MATHEMATICS helps students make the transition from calculus to more proofs-oriented mathematical study. The most successful text of its kind, the 7th edition continues to provide a firm foundation in major concepts needed for continued study and guides students to think and express themselves mathematically to analyze a situation, extract pertinent facts, and draw appropriate conclusions. The authors place continuous emphasis throughout on improving students' ability to read and write proofs, and on developing their critical awareness for spotting common errors in proofs. Concepts are clearly explained and supported with detailed examples, while abundant and diverse exercises provide thorough practice on both routine and more challenging problems. Students will come away with a solid intuition for the types of mathematical reasoning they'll need to apply in later courses and a better understanding of how mathematicians of all kinds approach and solve problems. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.



A Transition To Proof


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



Introduction To Mathematical Proofs Second Edition


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.



An Introduction To Abstract Mathematics


An Introduction To Abstract Mathematics
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Author : Robert J. Bond
language : en
Publisher: Waveland Press
Release Date : 2007-08-24

An Introduction To Abstract Mathematics written by Robert J. Bond and has been published by Waveland Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08-24 with Mathematics categories.


Bond and Keane explicate the elements of logical, mathematical argument to elucidate the meaning and importance of mathematical rigor. With definitions of concepts at their disposal, students learn the rules of logical inference, read and understand proofs of theorems, and write their own proofs all while becoming familiar with the grammar of mathematics and its style. In addition, they will develop an appreciation of the different methods of proof (contradiction, induction), the value of a proof, and the beauty of an elegant argument. The authors emphasize that mathematics is an ongoing, vibrant disciplineits long, fascinating history continually intersects with territory still uncharted and questions still in need of answers. The authors extensive background in teaching mathematics shines through in this balanced, explicit, and engaging text, designed as a primer for higher- level mathematics courses. They elegantly demonstrate process and application and recognize the byproducts of both the achievements and the missteps of past thinkers. Chapters 1-5 introduce the fundamentals of abstract mathematics and chapters 6-8 apply the ideas and techniques, placing the earlier material in a real context. Readers interest is continually piqued by the use of clear explanations, practical examples, discussion and discovery exercises, and historical comments.