Introduction to Discrete Mathematics Via Logic and Proof - Brossura

Jongsma, Calvin

Brossura

ISBN 10: 3030253600 ISBN 13: 9783030253608

Casa editrice: Springer Nature, 2020

Riassunto

<p>This textbook introduces discrete mathematics by emphasizing the importance of reading and writing proofs. Because it begins by carefully establishing a familiarity with mathematical logic and proof, this approach suits not only a discrete mathematics course, but can also function as a transition to proof. Its unique, deductive perspective on mathematical logic provides students with the tools to more deeply understand mathematical methodology—an approach that the author has successfully classroom tested for decades.</p><p>Chapters are helpfully organized so that, as they escalate in complexity, their underlying connections are easily identifiable. Mathematical logic and proofs are first introduced before moving onto more complex topics in discrete mathematics. Some of these topics include:</p><p></p><ul><li>Mathematical and structural induction</li><li>Set theory</li><li>Combinatorics</li><li>Functions, relations, and ordered sets</li><li>Boolean algebra and Boolean functions</li><li>Graph theory</li></ul><p></p><p><i>Introduction to Discrete Mathematics via Logic and Proof</i> will suit intermediate undergraduates majoring in mathematics, computer science, engineering, and related subjects with no formal prerequisites beyond a background in secondary mathematics.</p><div><p></p></div>

Su questo libro

Informazioni sull?autore

<p><b>Calvin Jongsma</b> is Emeritus Professor of Mathematics at Dordt University in Sioux Center, Iowa. His research interests include logic and proof, the history and philosophy of mathematics, foundations of mathematics, and mathematics education.</p>

Dalla quarta di copertina

<p>This textbook introduces discrete mathematics by emphasizing the importance of reading and writing proofs. Because it begins by carefully establishing a familiarity with mathematical logic and proof, this approach suits not only a discrete mathematics course, but can also function as a transition to proof. Its unique, deductive perspective on mathematical logic provides students with the tools to more deeply understand mathematical methodology—an approach that the author has successfully classroom tested for decades.</p><p>Chapters are helpfully organized so that, as they escalate in complexity, their underlying connections are easily identifiable. Mathematical logic and proofs are first introduced before moving onto more complex topics in discrete mathematics. Some of these topics include:</p><p></p><ul><li>Mathematical and structural induction</li><li>Set theory</li><li>Combinatorics</li><li>Functions, relations, and ordered sets</li><li>Boolean algebra and Boolean functions</li><li>Graph theory</li></ul><p></p><p><i>Introduction to Discrete Mathematics via Logic and Proof</i>&nbsp;will suit intermediate undergraduates majoring in mathematics, computer science, engineering, and related subjects with no formal prerequisites beyond a background in secondary mathematics.</p>

Dettagli dell'edizione

• Editore: Springer Nature
• Data di pubblicazione: 2020
• Lingua: Inglese
• ISBN 10: 3030253600
• ISBN 13: 9783030253608
• Rilegatura: Copertina flessibile
• Numero edizione: 1
• Numero di pagine: 504
• Contatto del produttore: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3,69115 Heidelberg, Germany; Heidelberg; 69115; Germania