A Concise Introduction to Pure Mathematics by Martin Liebeck, 3rd edition, is a comprehensive and accessible textbook designed for undergraduate students studying pure mathematics. This book provides a solid foundation in the concepts and techniques of pure mathematics and prepares students for further study in mathematics, physics, engineering, and other related disciplines.
The 3rd edition of A Concise Introduction to Pure Mathematics has been updated to reflect the latest advancements in the field and includes a wealth of new and improved examples and exercises. The author, Martin Liebeck, is a renowned expert in the field of mathematics and is known for his clear and concise writing style, which makes the material easy to understand and follow.
TABLE OF CONTENTS
- Sets and Proofs
- Number Systems
- Decimals
- Inequalities
- nth Roots and rational Powers
- Complex Numbers
- Polynomial Equations
- Induction
- Euler’s Formula and Platonic Solids
- The Integers
- Prime Factorization
- More on Prime Numbers
- Congruence of Integers
- More on Congruence
- Secret Codes
- Counting and Choosing
- More on Sets
- Equivalence Relations
- Functions
- Permutations
- Infinity
- Introduction to Analysis: Bounds
- More Analysis: Limits
- Yet More Analysis: Continuity
The book covers a wide range of topics, including set theory, group theory, ring theory, and linear algebra. Additionally, the book includes numerous examples and exercises, which provide opportunities for students to practice what they have learned and apply the concepts covered in the book to new problems.
A Concise Introduction to Pure Mathematics by Martin Liebeck, 3rd edition, is notable for its focus on understanding and intuition, which helps students to see the underlying patterns and structures in pure mathematics and gain a deeper understanding of the subject.
Whether you are a student looking to build a solid foundation in pure mathematics or a professional seeking to refresh your knowledge of the subject, A Concise Introduction to Pure Mathematics by Martin Liebeck, 3rd edition, is an excellent resource that is sure to meet your needs. With its comprehensive coverage of the subject and its focus on understanding and intuition, this textbook is sure to provide a valuable resource for anyone interested in learning about pure mathematics.
