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Concise Introduction to Pure Mathematics (Chapman & Hall/CRC Mathematics)
 
 

Concise Introduction to Pure Mathematics (Chapman & Hall/CRC Mathematics) (Hardcover)

by Martin Liebeck (Author) "This chapter contains some introductory notions concerning the language of sets, and methods for writing proofs of mathematical statements ..." (more)
4.8 out of 5 stars  See all reviews (8 customer reviews)
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Product details

  • Hardcover: 224 pages
  • Publisher: Chapman & Hall; 2 edition (2 Nov 2005)
  • Language English
  • ISBN-10: 1584885475
  • ISBN-13: 978-1584885474
  • Product Dimensions: 23.1 x 14.7 x 1.3 cm
  • Average Customer Review: 4.8 out of 5 stars  See all reviews (8 customer reviews)
  • Amazon.co.uk Sales Rank: 23,002 in Books (See Bestsellers in Books)

    Popular in this category:

    #1 in  Books > Science & Nature > Mathematics > Mathematical Foundations > Set Theory
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Product Description

Product Description

Written in a relaxed, readable style, A Concise Introduction to Pure Mathematics leads students gently but firmly into the world of higher mathematics. It provides beginning undergraduates with a rigourous grounding in the basic tools and techniques of the discipline and prepares them for further more advanced studies in analysis, differential equations, and algebra. This edition contains additional material on secret codes, permutations, and prime numbers. It features more than 200 exercises, with many completely new. The text is organized into relatively independent chapters, allowing instructors to tailor the book to meet their individual course needs.


From the Back Cover

A Concise Introduction to Pure Mathematics, Second Edition provides a robust bridge between high school and university mathematics, expanding upon basic topics in ways that will interest first-year students in mathematics and related fields and stimulate further study. Divided into 22 short chapters, this textbook offers a selection of exercises ranging from routine calculations to quite challenging problems.

The author discusses real and complex numbers and explains how these concepts are applied in solving natural problems. He introduces topics in analysis, geometry, number theory, and combinatorics.

What's New in the Second Edition:
  • Contains extra material concerning prime numbers, forming the basis for data encryption
  • Explores "Secret Codes" - one of today's most spectacular applications of pure mathematics
  • Discusses Permutations and their importance in many topics in discrete mathematics

    The textbook allows for the design of courses with various points of emphasis, because it can be divided into four fairly independent sections related to: an introduction to number systems and analysis; theory of the integers; an introduction to discrete mathematics; and functions, relations, and countability.

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    This chapter contains some introductory notions concerning the language of sets, and methods for writing proofs of mathematical statements. Read the first page
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    Customer Reviews

    8 Reviews
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    Average Customer Review
    4.8 out of 5 stars (8 customer reviews)
     
     
     
     
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    Most Helpful Customer Reviews

     
    6 of 6 people found the following review helpful:
    5.0 out of 5 stars An Excellent Introduction to Pure Mathematics, 17 Sep 2006
    By Mr. P. Bilokon "Paul Bilokon" (London, UK) - See all my reviews
    (REAL NAME)   
    I had a privilege of attending a first-year course at Imperial College, based on Prof. Martin Liebeck's book. The book, as well as the course (then taught by Prof. Kevin Buzzard), are superb. They are readily accessible to first-year university students and provide an easy transition from A-level to undergraduate mathematics. Moreover, the language is clear and concise, the examples instructive, and the book is generally fun to read. Liebeck selects some of the most interesting topics in elementary pure mathematics and stimulates the student's interest in the subject. Unfortunately, A-level mathematics is taught as a collection of algorithms, and the student may not be able to appreciate its depth and beauty. Whether you are a first-year mathematics undergraduate, or still at school, I would thoroughly recommend you to read this book so that you know what mathematics is really about.
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    4 of 4 people found the following review helpful:
    5.0 out of 5 stars Very useful, 11 Sep 2004
    By A Customer
    This book is ideal for A-level students who are considering doing a numerate degree, particularly maths. It contains lots of useful methods and tricks, with full proofs of every theorem. It isn't highly technical, nor does it go into much depth, but it is an excellent primer and will make you realise some of the amazing things that can be proved quite simply with the right concepts.
    Comment Comment | Permalink | Was this review helpful to you? Yes No (Report this)



     
    5 of 6 people found the following review helpful:
    5.0 out of 5 stars A very useful book for anyone thinking of doing Mathematics at university., 31 Oct 2006
    I am a first year student at Imperial College (where Professor Liebeck lectures) and I have to say that this book has really helped me. It was on the reading list that the university gave to me, so over the summer I used he book as a study aid.

    Liebeck writes clearly and concisely, presenting the mathematics in an easy to understand way. At the same time the material covered is more challenging than at A-Level (which I found to be a bit repetitive) and will stimulate all students, regardless of their ability.
    Comment Comment | Permalink | Was this review helpful to you? Yes No (Report this)


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    Most Recent Customer Reviews

    4.0 out of 5 stars Nicely-written transition from secondary school to unuversity mathematics. Targeted more toward classroom use than self-study
    This is a review of the (2005) 2nd ed. The number of texts covering the transition from secondary school to college mathematics has grown considerably in recent years. Read more
    Published 3 months ago by Reader

    5.0 out of 5 stars Fantastic introduction to post-A Level Mathematics
    I bought this book after having it recommended to me from 3 independent sources and it was well recommended. Read more
    Published 4 months ago by Mr. Shaun F. Trowsdale

    5.0 out of 5 stars Good introduction.
    A very good introduction to people who wonder what Maths looks like in University. This book is actually a textbook for Foundation of Analysis course in Imperial College London... Read more
    Published 9 months ago by T. H. A. Teng

    5.0 out of 5 stars An excellent introduction to university mathematics
    The gap between high school and university mathematics is
    quite noticeable. I found this book to be an excellent book
    to prep a smooth landing to university... Read more
    Published on 27 Sep 2004 by Cusa

    4.0 out of 5 stars Enjoyable and educational
    A concise Introduction to Pure Mathematics is very legible, it is written so that it is absorbed easily, it intoduces many prime topics including a very extensive and clear... Read more
    Published on 5 Sep 2000

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