The Nuts and Bolts of Proofs PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download The Nuts and Bolts of Proofs PDF full book. Access full book title The Nuts and Bolts of Proofs by Antonella Cupillari. Download full books in PDF and EPUB format.
Author: Antonella Cupillari
Publisher: Academic Press
ISBN: 0080537901
Category : Mathematics
Languages : en
Pages : 193
Get Book
Book Description
The Nuts and Bolts of Proof instructs students on the basic logic of mathematical proofs, showing how and why proofs of mathematical statements work. It provides them with techniques they can use to gain an inside view of the subject, reach other results, remember results more easily, or rederive them if the results are forgotten.A flow chart graphically demonstrates the basic steps in the construction of any proof and numerous examples illustrate the method and detail necessary to prove various kinds of theorems. * The "List of Symbols" has been extended.* Set Theory section has been strengthened with more examples and exercises.* Addition of "A Collection of Proofs"
Author: Antonella Cupillari
Publisher: Academic Press
ISBN: 0080537901
Category : Mathematics
Languages : en
Pages : 193
Get Book
Book Description
The Nuts and Bolts of Proof instructs students on the basic logic of mathematical proofs, showing how and why proofs of mathematical statements work. It provides them with techniques they can use to gain an inside view of the subject, reach other results, remember results more easily, or rederive them if the results are forgotten.A flow chart graphically demonstrates the basic steps in the construction of any proof and numerous examples illustrate the method and detail necessary to prove various kinds of theorems. * The "List of Symbols" has been extended.* Set Theory section has been strengthened with more examples and exercises.* Addition of "A Collection of Proofs"
Author: Antonella Cupillari
Publisher: Academic Press
ISBN: 0123822181
Category : Mathematics
Languages : en
Pages : 297
Get Book
Book Description
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
Author: Neil R. Nicholson
Publisher: CRC Press
ISBN: 0429535473
Category : Mathematics
Languages : en
Pages : 323
Get Book
Book Description
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
Author: Imre Lakatos
Publisher: Cambridge University Press
ISBN: 9780521290388
Category : Mathematics
Languages : en
Pages : 190
Get Book
Book Description
Proofs and Refutations is for those interested in the methodology, philosophy and history of mathematics.
Author: Daniel J. Velleman
Publisher: Cambridge University Press
ISBN: 0521861241
Category : Mathematics
Languages : en
Pages : 401
Get Book
Book Description
This new edition of Daniel J. Velleman's successful textbook contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software.
Author: Antonella Cupillari
Publisher: Elsevier
ISBN: 0323990215
Category : Mathematics
Languages : en
Pages : 417
Get Book
Book Description
The Nuts and Bolts of Proofs: An Introduction to Mathematical Proofs, Fifth Edition provides basic logic of mathematical proofs and how they work. The book offers techniques for both reading and writing proofs, discusses techniques in proving if/then statements by contrapositive and proofing by contradiction, includes the negation statement, and/or, examines various theorems, such as the if and only-if, equivalence theorems, existence theorems, and the uniqueness theorems. In addition, the use of counter examples, mathematical induction, composite statements including multiple hypothesis and multiple conclusions, and equality of numbers are also covered. 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 accessible as well as invaluable. Jumps right in with the needed vocabulary to get 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
Author: Martin Aigner
Publisher: Springer Science & Business Media
ISBN: 3662223430
Category : Mathematics
Languages : en
Pages : 194
Get Book
Book Description
According to the great mathematician Paul Erdös, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "perfect proofs," those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, analysis, combinatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics.
Author: Tom Kenny
Publisher: John Wiley & Sons
ISBN: 1444357077
Category : Medical
Languages : en
Pages : 488
Get Book
Book Description
Nothing is more perplexing to the clinician new to device therapy than having to deal with cardiac electrocardiograms from a device patient. Pacemakers and other implantable cardiac rhythm management devices leave their “imprint” on ECGs and can significantly change what clinicians see - or expect to see. Evaluating paced ECGs can be challenging, yet nowhere is it taught in any sort of comprehensive manner. Designed specifically for clinicians new to device therapy, The Nuts and Bolts of Interpreting Paced ECGs and EGMs offers practical, reliable and objective information on paced cardiac electrograms. Written in a lively, intelligent and easy to navigate style, emphasizing real-life clinical practice and practical tips, this book includes illustrated paced ECGs by skilled artists to help minimize “fuzzy” lines and emphasize key points. Each chapter concludes with a checklist of key points from each subject (“Nuts and Bolts”).
Author: Antonella Cupillari
Publisher:
ISBN: 9780120880591
Category :
Languages : en
Pages : 179
Get Book
Book Description
Author: Gary Chartrand
Publisher: Pearson Educacion
ISBN: 9780321782519
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 400
Get Book
Book Description
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.
