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An Introduction to Mathematical Proofs
Contributor(s): Loehr, Nicholas A. (Author)
ISBN: 0367338238     ISBN-13: 9780367338237
Publisher: CRC Press
OUR PRICE:   $114.00  
Product Type: Hardcover - Other Formats
Published: October 2019
Qty:
Temporarily out of stock - Will ship within 2 to 5 weeks
Additional Information
BISAC Categories:
- Mathematics | Mathematical Analysis
- Mathematics | Logic
- Mathematics | Set Theory
Dewey: 511.36
LCCN: 2019025858
Series: Textbooks in Mathematics
Physical Information: 1.1" H x 7.2" W x 10.1" (2.05 lbs) 412 pages
 
Descriptions, Reviews, Etc.
Publisher Description:

An Introduction to Mathematical Proofs presents fundamental material on logic, proof methods, set theory, number theory, relations, functions, cardinality, and the real number system. The text uses a methodical, detailed, and highly structured approach to proof techniques and related topics. No prerequisites are needed beyond high-school algebra.

New material is presented in small chunks that are easy for beginners to digest. The author offers a friendly style without sacrificing mathematical rigor. Ideas are developed through motivating examples, precise definitions, carefully stated theorems, clear proofs, and a continual review of preceding topics.

Features

  • Study aids including section summaries and over 1100 exercises
  • Careful coverage of individual proof-writing skills
  • Proof annotations and structural outlines clarify tricky steps in proofs
  • Thorough treatment of multiple quantifiers and their role in proofs
  • Unified explanation of recursive definitions and induction proofs, with applications to greatest common divisors and prime factorizations

About the Author:

Nicholas A. Loehr is an associate professor of mathematics at Virginia Technical University. He has taught at College of William and Mary, United States Naval Academy, and University of Pennsylvania. He has won many teaching awards at three different schools. He has published over 50 journal articles. He also authored three other books for CRC Press, including Combinatorics, Second Edition, and Advanced Linear Algebra.