Read Advanced Mathematics: A Transitional Reference

Advanced Mathematics: A Transitional Reference

Stanley J. Farlow

4.9/5 (23076 ratings)

Description:This book provides a "crash course" in beginning pure mathematics. The book contains six chapters. Chapter 1 covers logic and proofs, introducing the reader to sentential and predicate calculus and mathematical induction. After two introductory sections of sentential logic and the connectives -- and, or, not, if then, if and only if - the author moves up the logical ladder to predicate logic and the universal and existential quantifiers and variables. Chapter 2 examines sets and counting, including an introduction to counting, including permutations, combinations, and the pigeonhole principle. Next, Chapter 3, introduces order relations and the idea of the image and inverse image of a set, concepts important in analysis and topology. A brief tutorial on the complex numbers, a subject often overlooked in undergraduate curricula, is covered in Chapter 4. Next, Chapter 5 introduces a number of sides to topology and covers the basic ideas of point-set topology required for hard analysis, including open and closed sets, limit points, interior, exterior and boundary of a set, and so on. Finally, Chapter 6 provides a brief introduction to symmetries and abstract groups, rings and fields. The book contains many problems for readers of all interests and abilities in each section.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Advanced Mathematics: A Transitional Reference. To get started finding Advanced Mathematics: A Transitional Reference, you are right to find our website which has a comprehensive collection of manuals listed.
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ISBN: 1119563518

Description: This book provides a "crash course" in beginning pure mathematics. The book contains six chapters. Chapter 1 covers logic and proofs, introducing the reader to sentential and predicate calculus and mathematical induction. After two introductory sections of sentential logic and the connectives -- and, or, not, if then, if and only if - the author moves up the logical ladder to predicate logic and the universal and existential quantifiers and variables. Chapter 2 examines sets and counting, including an introduction to counting, including permutations, combinations, and the pigeonhole principle. Next, Chapter 3, introduces order relations and the idea of the image and inverse image of a set, concepts important in analysis and topology. A brief tutorial on the complex numbers, a subject often overlooked in undergraduate curricula, is covered in Chapter 4. Next, Chapter 5 introduces a number of sides to topology and covers the basic ideas of point-set topology required for hard analysis, including open and closed sets, limit points, interior, exterior and boundary of a set, and so on. Finally, Chapter 6 provides a brief introduction to symmetries and abstract groups, rings and fields. The book contains many problems for readers of all interests and abilities in each section.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Advanced Mathematics: A Transitional Reference. To get started finding Advanced Mathematics: A Transitional Reference, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Advanced Mathematics: A Transitional Reference

Advanced Mathematics: A Transitional Reference

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