Logic, Mathematics, and Computer Science - Modern Foundations with Practical Applications.pdf

Logic, Mathematics, and Computer Science - Modern Foundations with Practical Applications PDF

Yves Nievergelt

This text for the first or second year undergraduate in mathematics, logic, computer science, or social sciences, introduces the reader to logic, proofs, sets, and number theory. It also serves as an excellent independent study reference and resource for instructors. Adapted from Foundations of Logic and Mathematics : Applications to Science and Cryptography 2002 Birkhäuser, this second edition provides a modern introduction to the foundations of logic, mathematics, and computers science, developing the theory that demonstrates construction of all mathematics and theoretical computer science from logic and set theory. The focus is on foundations, with specific statements of all the associated axioms and rules of logic and set theory, and provides complete details and derivations of formal proofs. Copious references to literature that document historical development is also provided. Answers are found to many questions that usually remain unanswered : Why is the truth table for logical implication so unintuitive ? Why are there no recipes to design proofs ? Where do these numerous mathematical rules come from ? What issues in logic, mathematics, and computer science still remain unresolved ? And the perennial question : In what ways are we going to use this material ? Additionally, the selection of topics presented reflects many major accomplishments from the twentieth century and includes applications in game theory and Nashs equilibrium, Gale and Shapleÿ s match making algorithms, Arrows Impossibility Theorem in voting, to name a few.

Computer Science (CS) 1 COMPUTER SCIENCE (CS) CS 100A. Problem-solving Lab for CS106A. 1 Unit. Computer Vision: Foundations and Applications. 3-4 Units. Robots that can navigate space and perform duties, search engines that can index billions of images and videos, algorithms that can diagnose medical images for diseases, or smart cars that can see and drive safely: Lying in the heart of Computational logic: its origins and applications ...

4.31 MB Taille du fichier
9781493932221 ISBN
Logic, Mathematics, and Computer Science - Modern Foundations with Practical Applications.pdf

Technik

PC et Mac

Lisez l'eBook immédiatement après l'avoir téléchargé via "Lire maintenant" dans votre navigateur ou avec le logiciel de lecture gratuit Adobe Digital Editions.

iOS & Android

Pour tablettes et smartphones: notre application de lecture tolino gratuite

eBook Reader

Téléchargez l'eBook directement sur le lecteur dans la boutique www.cocoasharp.org ou transférez-le avec le logiciel gratuit Sony READER FOR PC / Mac ou Adobe Digital Editions.

Reader

Après la synchronisation automatique, ouvrez le livre électronique sur le lecteur ou transférez-le manuellement sur votre appareil tolino à l'aide du logiciel gratuit Adobe Digital Editions.

Notes actuelles

avatar
Sofya Voigtuh

big list - What practical applications does set theory ... The purpose of set theory is not practical application in the same way that, for example, Fourier analysis has practical applications. To most mathematicians (i.e. those who are not themselves set theorists), the value of set theory is not in any particular theorem but in the language it gives us. Nowadays even computer scientists describe

avatar
Mattio Müllers

Learn to teach maths and logic in computer science and understand concepts like logic gates with this online teaching course from Raspberry Pi Foundation. ... Through practical activities you will become more comfortable with concepts ...

avatar
Noels Schulzen

What is Mathematics? | Live Science

avatar
Jason Leghmann

Computational Logic is a wide interdisciplinary field having its theoretical and practical roots in mathematics, computer science, logic, and ... As a consequence , it has its applications in computer science itself, mathematics, the engineering ... the complexity of modern computer-supported systems and worldwide on the rise . Application method, UCAS. Course duration ... Computer science provides many of the key tools needed to solve the most important and pressing problems of the modern age. ... In your first year you will study essential core components of mathematics and computer science, giving you a rigorous foundation for future years.

avatar
Jessica Kolhmann

Mathematics in Computing | SpringerLink This illuminating textbook provides a concise review of the core concepts in mathematics essential to computer scientists. Emphasis is placed on the practical computing applications enabled by seemingly abstract mathematical ideas, presented within their historical context. The text spans a broad selection of key topics, ranging from the use of