A Concise Introduction to Pure Mathematics, Fourth Edition (Chapman Hall/CRC Mathematics)
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A Concise Introduction to Pure Mathematics, Fourth Edition (Chapman Hall/CRC Mathematics)
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It covers not only standard material but also many interesting topics not usually encountered at this level, such as the theory of solving cubic equations; Euler’s formula for the numbers of corners, edges, and faces of a solid object and the five Platonic solids; the use of prime numbers to encode and decode secret information; the theory of how to compare the sizes of two infinite sets; and the rigorous theory of limits and continuous functions. By using the Web site, you confirm that you have read, understood, and agreed to be bound by the Terms and Conditions. In addition to the preAnalysis and preAlgebra chapters, there are chapters on complex numbers, inequalities, some number theory and combinatorics, and the Platonic solids. The book will continue to serve well as a transitional course to rigorous mathematics and as an introduction to the mathematical world … . I would imagine that this book must be perfect for maths undergraduates in their first year  or even in the summer before starting.
It covers not only standard material but also many interesting topics not usually encountered at this level, such as the theory of solving cubic equations; Euler's formula for the numbers of corners, edges, and faces of a solid object and the five Platonic solids; the use of prime numbers to encode and decode secret information; the theory of how to compare the sizes of two infinite sets; and the rigorous theory of limits and continuous functions. Now in an updated and expanded third edition, A Concise Introduction to Pure Mathematics provides an informed and informative presentation into a representative selection of fundamental ideas in mathematics . This book will give a student the understanding to go on in further courses in abstract algebra and analysis.To calculate the overall star rating and percentage breakdown by star, we don’t use a simple average.
It covers not only standard material but also many interesting topics not usually encountered at this level, such as the theory of solving cubic equations; Eulers formula for the numbers of corners, edges, and faces of a solid object and the five Platonic solids; the use of prime numbers to encode and decode secret information; the theory of how to compare the sizes of two infinite sets; and the rigorous theory of limits and continuous functions. Can also make for a fun read over Summer for a student who will be pursuing a maths degree once the term starts.Liebeck’s book stands out from the crowd of similar books by being short (as the title says, it is concise) and by trying to expose students to mathematical ideas beyond the basics of sets and logic. This book displays a unique combination of lightness and rigor, leavened with the right dose of humor. Students are taught how to understand and create proofs, but they are also given a glimpse of what it is all for…applied mathematicians also need to know about proofs, counting, inequalities, bounds, and even groups — and this book could help them learn all that. applied mathematicians also need to know about proofs, counting, inequalities, bounds, and even groups ― and this book could help them learn all that. Ciò detto, non è che sia da buttare: è scritto in maniera molto scorrevole e quindi permette una lettura agevole.
Through 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. The author introduces the absolutely unnecessary relation "i It is many years since I did my engineering degree and I wanted to brush up my maths and learn the modern approach to the subject.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.
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 103 third parties who use cookies on this service do so for their purposes of displaying and measuring personalized ads, generating audience insights, and developing and improving products. Particularly able prospective maths students with stronger backgrounds will likely get more out of selfstudying either Spivak's Calculus or Apostol's Calculus Volume I. Moreover, the book is confusing at times: concepts are often not precisely defined, and if you have the gift of critical thinking you will find lots of places where the logic standards of the book are less than acceptable.Rispetto a quello che ricordo io del mio primo anno di matematica, il livello è molto più basso; sarà che la facoltà di Pisa voleva mantenere la sua fama e teneva corsi molti teorici, però garantisco che non lo si può certo usare come libro di testo, o forse sì ma per informatica. It would in fact be difficult to find in this excellent book three consecutive pages that do not contain material useful to students or practitioners. 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. Divided into 22 short chapters, this textbook offers a selection of exercises ranging from routine calculations to quite challenging problems.
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