Calvin Jongsma Introduction to Discrete Mathematics via Logic and Proof 9783030253578

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Автор: Calvin Jongsma
Название: Introduction to Discrete Mathematics via Logic and Proof
ISBN: 9783030253578
Издательство: Springer
Классификация:

Политика и политический строй

Математические основы

Дискретная математика

ISBN-10: 3030253570
Обложка/Формат: Hardcover
Страницы: 482
Вес: 1.14 кг.
Дата издания: 2019
Серия: Undergraduate Texts in Mathematics
Язык: English
Издание: 1st ed. 2019
Иллюстрации: 5 illustrations, color; 849 illustrations, black and white; xx, 482 p. 854 illus., 5 illus. in color.
Размер: 235 x 155
Читательская аудитория: Professional & vocational
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: 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 inductionSet theoryCombinatoricsFunctions, relations, and ordered setsBoolean algebra and Boolean functionsGraph theoryIntroduction 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.

Дополнительное описание: 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

Introduction to Discrete Mathematics via Logic and Proof, Calvin Jongsma