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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.
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.
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.
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
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.
| Erscheinungsjahr: | 2020 |
|---|---|
| Genre: | Informatik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Seiten: | 416 |
| 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
Undergraduate Topics in Computer Science |
| Maße: | 235 x 155 x 23 mm |
| Von/Mit: | David Makinson |
| Erscheinungsdatum: | 20.05.2020 |
| Gewicht: | 0,628 kg |
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.
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
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.
| Erscheinungsjahr: | 2020 |
|---|---|
| Genre: | Informatik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Seiten: | 416 |
| 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
Undergraduate Topics in Computer Science |
| Maße: | 235 x 155 x 23 mm |
| Von/Mit: | David Makinson |
| Erscheinungsdatum: | 20.05.2020 |
| Gewicht: | 0,628 kg |
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