A Concise Introduction to Pure Mathematics, Fourth Edition (Chapman Hall/CRC Mathematics)

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The author introduces the absolutely unnecessary relation "i Accessible to all students with a sound background in high school mathematics, A Concise Introduction to Pure Mathematics, Fourth Edition presents some of the most fundamental and beautiful ideas in pure mathematics.

the author does not explain that the very first condition that a set should satisfy consists in giving a set through an expression which must be as unambiguous as possible. Written in a rigorous yet accessible style, it continues to provide a robust bridge between high school and higher level mathematics, enabling students to study further courses in abstract algebra and analysis.It will just give you a superficial overview of a bunch of theories and theorems that you will encounter sooner or later, in better form, in your college years. Good book to give to a student yet to apply to university and who is considering a degree in mathematics. Divided into 22 short chapters, this textbook offers a selection of exercises ranging from routine calculations to quite challenging problems. 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.

By using the Web site, you confirm that you have read, understood, and agreed to be bound by the Terms and Conditions. An ideal, accessible, elegant, student-friendly, and highly recommended choice for classroom textbooks for high school and college-level mathematics curriculums, A Concise Introduction to Pure Mathematics is further enhanced with a selective bibliography, an index of symbols, and a comprehensive index.This book displays a unique combination of lightness and rigor, leavened with the right dose of humor. More Hamburger icon An icon used to represent a menu that can be toggled by interacting with this icon. New to the Fourth EditionTwo new chapters that serve as an introduction to abstract algebra via the theory of groups, covering abstract reasoning as well as many examples and applicationsNew material on inequalities, counting methods, the inclusion-exclusion principle, and Eulers phi function Numerous new exercises, with solutions to the odd-numbered onesThrough careful explanations and examples, this popular textbook illustrates the power and beauty of basic mathematical concepts in number theory, discrete mathematics, analysis, and abstract algebra.