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Sets, Logic and Maths for Computing
Taschenbuch von David Makinson
Sprache: Englisch

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Beschreibung
This easy-to-understand textbook introduces the mathematical language and problem-solving tools essential to anyone wishing to enter the world of computer and information sciences. Specifically designed for the student who is intimidated by mathematics, the book offers a concise treatment in an engaging style.
The thoroughly revised third edition features a new chapter on relevance-sensitivity in logical reasoning and many additional explanations on points that students find puzzling, including the rationale for various shorthand ways of speaking and ¿abuses of language¿ that are convenient but can give rise to misunderstandings. Solutions are now also provided for all exercises.Topics and features: presents an intuitive approach, emphasizing how finite mathematics supplies a valuable language for thinking about computation; discusses sets and the mathematical objects built with them, such as relations and functions, as well as recursion and induction; introduces core topics of mathematics, including combinatorics and finite probability, along with the structures known as trees; examines propositional and quantificational logic, how to build complex proofs from simple ones, and how to ensure relevance in logic; addresses questions that students find puzzling but may have difficulty articulating, through entertaining conversations between Alice and the Mad Hatter; provides an extensive set of solved exercises throughout the text.

This clearly-written textbook offers invaluable guidance to students beginning an undergraduate degree in computer science. The coverage is also suitable for courses on formal methods offered to those studying mathematics, philosophy, linguistics, economics, and political science. Assuming only minimal mathematical background, it is ideal for both the classroom and independent study.
This easy-to-understand textbook introduces the mathematical language and problem-solving tools essential to anyone wishing to enter the world of computer and information sciences. Specifically designed for the student who is intimidated by mathematics, the book offers a concise treatment in an engaging style.
The thoroughly revised third edition features a new chapter on relevance-sensitivity in logical reasoning and many additional explanations on points that students find puzzling, including the rationale for various shorthand ways of speaking and ¿abuses of language¿ that are convenient but can give rise to misunderstandings. Solutions are now also provided for all exercises.Topics and features: presents an intuitive approach, emphasizing how finite mathematics supplies a valuable language for thinking about computation; discusses sets and the mathematical objects built with them, such as relations and functions, as well as recursion and induction; introduces core topics of mathematics, including combinatorics and finite probability, along with the structures known as trees; examines propositional and quantificational logic, how to build complex proofs from simple ones, and how to ensure relevance in logic; addresses questions that students find puzzling but may have difficulty articulating, through entertaining conversations between Alice and the Mad Hatter; provides an extensive set of solved exercises throughout the text.

This clearly-written textbook offers invaluable guidance to students beginning an undergraduate degree in computer science. The coverage is also suitable for courses on formal methods offered to those studying mathematics, philosophy, linguistics, economics, and political science. Assuming only minimal mathematical background, it is ideal for both the classroom and independent study.
Über den Autor

Dr. David Makinson has taught courses related to the material of this book at the American University of Beirut, King's College London and, in recent years, the London School of Economics, UK.

Zusammenfassung

Presents a careful selection of the material most needed by students in their first two years studying computer science

Emphasizes the interplay between qualitative thinking and calculation, while requiring only a minimal background in mathematics

Teaches the material as a language for thinking in, as much as knowledge to be gained

Fully updated and expanded new edition featuring more exercises (and more solutions), and an entirely new chapter on relevance in logic

Inhaltsverzeichnis

Part I: Sets.- Collecting Things Together: Sets.- Comparing Things: Relations.- Associating One Item with Another: Functions.- Recycling Outputs as Inputs: Induction and Recursion.- Part II: Math.- Counting Things: Combinatorics.- Weighing the Odds: Probability.- Squirrel Math: Trees.- Part III: Logic.- Yea and Nay: Propositional Logic.- Something about Everything: Quantificational Logic.- Just Supposing: Proof and Consequence.- Sticking to the Point: Relevance in Logic.

Details
Erscheinungsjahr: 2020
Genre: Informatik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Undergraduate Topics in Computer Science
Inhalt: xviii
398 S.
36 s/w Illustr.
398 p. 36 illus.
ISBN-13: 9783030422172
ISBN-10: 3030422178
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Makinson, David
Auflage: 3rd ed. 2020
Hersteller: Springer International Publishing
Springer International Publishing AG
Undergraduate Topics in Computer Science
Maße: 235 x 155 x 23 mm
Von/Mit: David Makinson
Erscheinungsdatum: 20.05.2020
Gewicht: 0,628 kg
Artikel-ID: 117968084
Über den Autor

Dr. David Makinson has taught courses related to the material of this book at the American University of Beirut, King's College London and, in recent years, the London School of Economics, UK.

Zusammenfassung

Presents a careful selection of the material most needed by students in their first two years studying computer science

Emphasizes the interplay between qualitative thinking and calculation, while requiring only a minimal background in mathematics

Teaches the material as a language for thinking in, as much as knowledge to be gained

Fully updated and expanded new edition featuring more exercises (and more solutions), and an entirely new chapter on relevance in logic

Inhaltsverzeichnis

Part I: Sets.- Collecting Things Together: Sets.- Comparing Things: Relations.- Associating One Item with Another: Functions.- Recycling Outputs as Inputs: Induction and Recursion.- Part II: Math.- Counting Things: Combinatorics.- Weighing the Odds: Probability.- Squirrel Math: Trees.- Part III: Logic.- Yea and Nay: Propositional Logic.- Something about Everything: Quantificational Logic.- Just Supposing: Proof and Consequence.- Sticking to the Point: Relevance in Logic.

Details
Erscheinungsjahr: 2020
Genre: Informatik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Undergraduate Topics in Computer Science
Inhalt: xviii
398 S.
36 s/w Illustr.
398 p. 36 illus.
ISBN-13: 9783030422172
ISBN-10: 3030422178
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Makinson, David
Auflage: 3rd ed. 2020
Hersteller: Springer International Publishing
Springer International Publishing AG
Undergraduate Topics in Computer Science
Maße: 235 x 155 x 23 mm
Von/Mit: David Makinson
Erscheinungsdatum: 20.05.2020
Gewicht: 0,628 kg
Artikel-ID: 117968084
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