Solution Manual for A Transition to Advanced Mathematics, 7th Edition

Product details:

• ISBN-10 ‏ : ‎ 0495562025
• ISBN-13 ‏ : ‎ 978-0495562023
• Author: Maurice Eggen

A TRANSITION TO ADVANCED MATHEMATICS helps students make the transition from calculus to more proofs-oriented mathematical study. The most successful text of its kind, the 7th edition continues to provide a firm foundation in major concepts needed for continued study and guides students to think and express themselves mathematically–to analyze a situation, extract pertinent facts, and draw appropriate conclusions. The authors place continuous emphasis throughout on improving students’ ability to read and write proofs, and on developing their critical awareness for spotting common errors in proofs. Concepts are clearly explained and supported with detailed examples, while abundant and diverse exercises provide thorough practice on both routine and more challenging problems. Students will come away with a solid intuition for the types of mathematical reasoning they’ll need to apply in later courses and a better understanding of how mathematicians of all kinds approach and solve problems.

Table contents:

Part I – Introduction to Proofs

 

 

• Logic and Sets

1. Arguments and Proofs
2. Functions
3. Properties of the Integers
4. Counting and Combinatorial Arguments
5. Relations

   Part II – Culture, History, Reading, and Writing

6. Mathematical Culture, Vocation, and Careers
7. History and Philosophy of Mathematics
8. Reading and Researching Mathematics
9. Writing and Presenting Mathematics

Appendix A. Rubric for Assessing Proofs

Appendix B. Index of Theorems and Definitions from Calculus and Linear Algebra

Bibliography

Index

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