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. New to the Third Edition The third edition of this popular text contains three new chapters that provide an introduction to mathematical analysis. These new chapters introduce the ideas of limits of sequences and continuous functions as well as several interesting applications, such as the use of the intermediate value theorem to prove the existence of nth roots. This edition also includes solutions to all of the odd-numbered exercises. By carefully explaining various topics in analysis, geometry, number theory, and combinatorics, this textbook illustrates the power and beauty of basic mathematical concepts.

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See our review of the second edition. These chapters are intended to serve as an introduction to abstract algebra. In addition to the pre-Analysis and pre-Algebra chapters, there are chapters on complex numbers, inequalities, some number theory and combinatorics, and the Platonic solids.

Students are taught how to understand and create proofs, but they are also given a glimpse of what it is all for. My one regret is the title. It is already very easy for students whose interest is mostly in applied mathematics to conclude that all the proofs in their Algebra and Analysis courses are of no value.

I suspect that if I were asked to teach this course, that problem would be enough to keep me from adopting the book. Which is a pity. After all, applied mathematicians also need to know about proofs, counting, inequalities, bounds, and even groups — and this book could help them learn all that.

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## A Concise Introduction to Pure Mathematics

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## Concise Introduction Pure Mathematics Third by Martin Liebeck

See our review of the second edition. These chapters are intended to serve as an introduction to abstract algebra. In addition to the pre-Analysis and pre-Algebra chapters, there are chapters on complex numbers, inequalities, some number theory and combinatorics, and the Platonic solids. Students are taught how to understand and create proofs, but they are also given a glimpse of what it is all for. My one regret is the title. It is already very easy for students whose interest is mostly in applied mathematics to conclude that all the proofs in their Algebra and Analysis courses are of no value. I suspect that if I were asked to teach this course, that problem would be enough to keep me from adopting the book.