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Introduction to Discrete Mathematics via Logic and Proof

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Introduction to Discrete Mathematics via Logic and Proof/ by Calvin Jongsma.
作者:	Jongsma, Calvin.
面頁冊數:	XX, 482 p. 854 illus., 5 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Discrete mathematics. -
電子資源:	https://doi.org/10.1007/978-3-030-25358-5
ISBN:	9783030253585

Introduction to Discrete Mathematics via Logic and Proof
Jongsma, Calvin.

Introduction to Discrete Mathematics via Logic and Proof[electronic resource] /by Calvin Jongsma. - 1st ed. 2019. - XX, 482 p. 854 illus., 5 illus. in color.online resource. - Undergraduate Texts in Mathematics,0172-6056. - Undergraduate Texts in Mathematics,.

Preface -- List of Notations -- 1. Propositional Logic -- 2. First-Order Logic -- 3. Mathematical Induction and Arithmetic -- 4. Basic Set Theory and Combinatorics -- 5. Set Theory and Infinity -- 6. Functions and Equivalence Relations -- 7. Posets, Lattices, and Boolean Algebra -- 8. Topics in Graph Theory -- A. Inference Rules for PL and FOL -- Index.

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. 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: Mathematical and structural induction Set theory Combinatorics Functions, relations, and ordered sets Boolean algebra and Boolean functions Graph theory Introduction to Discrete Mathematics via Logic and Proof will suit intermediate undergraduates majoring in mathematics, computer science, engineering, and related subjects with no formal prerequisites beyond a background in secondary mathematics.

ISBN: 9783030253585

Standard No.: 10.1007/978-3-030-25358-5doiSubjects--Topical Terms:

1254302
Discrete mathematics.

LC Class. No.: QA150-272

Dewey Class. No.: 511.1

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520 $a 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. 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: Mathematical and structural induction Set theory Combinatorics Functions, relations, and ordered sets Boolean algebra and Boolean functions Graph theory Introduction to Discrete Mathematics via Logic and Proof will suit intermediate undergraduates majoring in mathematics, computer science, engineering, and related subjects with no formal prerequisites beyond a background in secondary mathematics.
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