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Catalogue Information
Field name	Details
Dewey Class	511.1
Title	Introduction to Discrete Mathematics via Logic and Proof ([EBook]) / by Calvin Jongsma.
Author	Jongsma, Calvin
Other name(s)	SpringerLink (Online service)
Publication	Cham : Springer International Publishing , 2019.
Physical Details	XX, 482 pages : 854 illus., 5 illus. in color. : online resource.
Series	Undergraduate texts in mathematics
ISBN	9783030253585
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-3-030-25358-5
Links to Related Works	Subject References: Discrete Mathematics . Mathematical logic . Mathematical Logic and Foundations . Authors: author . Jongsma, Calvin . Corporate Authors: SpringerLink (Online service) . Series: Undergraduate texts in mathematics . Classification: 511.1 . 511.1 (DDC 23) .

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Introduction to Discrete Mathematics via Logic and Proof

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