Bridge to advanced mathematics
Sentilles, Dennis
Bridge to advanced mathematics - New York: Dover Publications, 2011. - xiii, 387p.; pbk; 24cm.
Includes appendix, index, illustrations and references
This helpful workbook-style "bridge" book introduces students to the foundations of advanced mathematics, spanning the gap between a practically oriented calculus sequence and subsequent courses in algebra and analysis with a more theoretical slant.
Part 1 focuses on logic and number systems, providing the most basic tools, examples, and motivation for the manner, method, and concerns of higher mathematics. Part 2 covers sets, relations, functions, infinite sets, and mathematical proofs and reasoning.
Author Dennis Sentilles also discusses the history and development of mathematics as well as the reasons behind axiom systems and their uses. He assumes no prior knowledge of proofs or logic, and he takes an intuitive approach that builds into a formal development. Advanced undergraduate students of mathematics and engineering will find this volume an excellent source of instruction, reinforcement, and review.
https://store.doverpublications.com/0486482197.html
9780486482194
Arithmetic--Foundations
Logic--Mathematics
Topology
Set theory
Relations--Mathematics
511.3 / SEN
Bridge to advanced mathematics - New York: Dover Publications, 2011. - xiii, 387p.; pbk; 24cm.
Includes appendix, index, illustrations and references
This helpful workbook-style "bridge" book introduces students to the foundations of advanced mathematics, spanning the gap between a practically oriented calculus sequence and subsequent courses in algebra and analysis with a more theoretical slant.
Part 1 focuses on logic and number systems, providing the most basic tools, examples, and motivation for the manner, method, and concerns of higher mathematics. Part 2 covers sets, relations, functions, infinite sets, and mathematical proofs and reasoning.
Author Dennis Sentilles also discusses the history and development of mathematics as well as the reasons behind axiom systems and their uses. He assumes no prior knowledge of proofs or logic, and he takes an intuitive approach that builds into a formal development. Advanced undergraduate students of mathematics and engineering will find this volume an excellent source of instruction, reinforcement, and review.
https://store.doverpublications.com/0486482197.html
9780486482194
Arithmetic--Foundations
Logic--Mathematics
Topology
Set theory
Relations--Mathematics
511.3 / SEN
