Accessible to all students with a sound background in high school mathematics, A Concise Introduction to Pure Mathematics, Third Edition presents some of the most fundamental and beautiful ideas in pure mathematics. It covers not only standard material but also many interesting topics not usually en
A Concise Introduction to Pure Mathematics, Fourth Edition
โ Scribed by Liebeck, Martin W
- Publisher
- CRC Press
- Year
- 2016
- Tongue
- English
- Leaves
- 314
- Series
- Chapman Hall/CRC Mathematics Series
- Edition
- 4ed.
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Table of Contents
Content: Cover
Dedication
Contents
Foreword
Preface
Chapter 1: Sets and Proofs
Chapter 2: Number Systems
Chapter 3: Decimals
Chapter 4: nth Roots and Rational Powers
Chapter 5: Inequalities
Chapter 6: Complex Numbers
Chapter 7: Polynomial Equations
Chapter 8: Induction
Chapter 9: Euler's Formula and Platonic Solids
Chapter 10: The Integers
Chapter 11: Prime Factorization
Chapter 12: More on Prime Numbers
Chapter 13: Congruence of Integers
Chapter 14: More on Congruence
Chapter 15: Secret Codes
Chapter 16: Counting and Choosing
Chapter 17: More on Sets. Chapter 18: Equivalence RelationsChapter 19: Functions
Chapter 20: Permutations
Chapter 21: Infinity
Chapter 22: Introduction to Analysis: Bounds
Chapter 23: More Analysis: Limits
Chapter 24: Yet More Analysis: Continuity
Chapter 25: Introduction to Abstract Algebra: Groups
Chapter 26: Introduction to Abstract Algebra: More on Groups
Solutions to Odd-Numbered Exercises
Further Reading
Index of Symbols.
โฆ Subjects
Logic, Symbolic and mathematical
๐ SIMILAR VOLUMES
<p><P>Traditional logic as a part of philosophy is one of the oldest scientific disciplines and can be traced back to the Stoics and to Aristotle. Mathematical logic, however, is a relatively young discipline and arose from the endeavors of Peano, Frege, and others to create a logistic foundation fo
by Lev Beklemishev, Moscow The ?eld of mathematical logic evolving around the notions of logical validity, provability, and computation was created in the ?rst half of the previous century by a cohort of brilliant mathematicians and philosophers such as Frege, Hilbert, Godel, Turing, Tarski, Malcev,
Traditional logic as a part of philosophy is one of the oldest scientific disciplines and can be traced back to the Stoics and to Aristotle. Mathematical logic, however, is a relatively young discipline and arose from the endeavors of Peano, Frege, and others to create a logistic foundation for math