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- Sets, Functions and Logic
- Sets, Functions, and Logic: An Introduction to Abstract Mathematics
- Sets, Functions, and Logic: An Introduction to Abstract Mathematics
- An Introduction to Abstract Mathematics

Introduction to Abstract Mathematics focuses on the principles, approaches, and operations involved in abstract mathematics, including metric spaces, sets, axiom systems, and open sentences. The book first offers information on logic and set theory, natural numbers, and integers and rational numbers. Discussions focus on rational numbers and ordered fields, ordering, arithmetic, axiom systems and methods of proof, functions of kindred matters, ordered pairs and relations, sets, and statements and open sentences. The text then examines real and complex numbers, metric spaces, and limits.

This undergraduate textbook provides an introduction to proofs, logic, sets, functions, and other fundamental topics of abstract mathematics. It is designed to be the textbook for a bridge course that introduces undergraduates to abstract mathematics, but it is also suitable for independent study by undergraduates or mathematically mature high-school students , or for use as a very inexpensive supplement to undergraduate courses in any field of abstract mathematics. Book Site. For Weather, Flights, Runways of Airports all over the world, etc, click here. Book Description This undergraduate textbook provides an introduction to proofs, logic, sets, functions, and other fundamental topics of abstract mathematics. All Categories.

This undergraduate textbook provides an introduction to proofs, logic, sets, functions, and other fundamental topics of abstract mathematics. It is designed to be the textbook for a bridge course that introduces undergraduates to abstract mathematics, but it is also suitable for independent study by undergraduates or mathematically mature high-school students , or for use as a very inexpensive supplement to undergraduate courses in any field of abstract mathematics. Book Site. What's the current weather of a particular airport? Click here to find out. Book Description This undergraduate textbook provides an introduction to proofs, logic, sets, functions, and other fundamental topics of abstract mathematics.

It seems that you're in Germany. We have a dedicated site for Germany. The purpose of this book is to provide the student beginning undergraduate mathematics with a solid foundation in the basic logical concepts necessary for most of the subjects encountered in a university mathematics course. The main distinction between most school mathematics and university mathematics lies in the degree of rigour demanded at university level. Needless to say, only the very ablest students come through this process without a great deal of difficulty.

The book covers all the topics included in an undergraduate course that aims to be students' first exposure to mathematical proofs: propositional logic, induction, sets, and functions. The book has plenty of good examples and exercises appropriate Comprehensiveness rating: 5 see less. The book has plenty of good examples and exercises appropriate for the undergraduate level. A summary containing definitions and main concepts is at the end of each chapter to help the students. I think that the book covers all the building blocks of modern mathematical thinking. Chapter 5 could be implemented offering more sample topics.

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Sets, functions, and logic: an introduction to abstract mathematics /. Keith Devlin. 3rd ed. p. cm. (Chapman & Hall mathematics). Includes bibliographical.

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Set theory is a branch of mathematical logic that studies sets , which informally are collections of objects. Although any type of object can be collected into a set, set theory is applied most often to objects that are relevant to mathematics. The language of set theory can be used to define nearly all mathematical objects. The modern study of set theory was initiated by Georg Cantor and Richard Dedekind in the s. After the discovery of paradoxes in naive set theory , such as Russell's paradox , numerous axiom systems were proposed in the early twentieth century, of which the Zermelo—Fraenkel axioms , with or without the axiom of choice , are the best-known. Set theory is commonly employed as a foundational system for mathematics , particularly in the form of Zermelo—Fraenkel set theory with the axiom of choice.

May 1, Sets, Functions And Logic An Intro To Abstract Mathematics 3rd Ed K Devlin (CRC, ) WW Pdf. Version, [version]. Download,

Renowned for her lucid, accessible prose, Epp explains complex, abstract concepts with clarity and precision. Besides reading the book, students are strongly encouraged to do all the. Download B. From the Holmes-styled logic problems to the brain teasing graph theory and algorithms - you name it. Discrete Mathematics combines a balance of theory and applications with mathematical rigor and an accessible writing style.

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