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A Concise Introduction to Pure Mathematics, Third Edition (Chapman Hall/CRC Mathematics Series) Paperback – August 16, 2010

6 customer reviews
ISBN-13: 978-1439835982 ISBN-10: 1439835985 Edition: 3rd

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Editorial Reviews

Review

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. … A diligent, active reader of this outstanding book will have the best foundation at minimum cost for making meaningful contributions to mathematics, science, or engineering.
Computing Reviews, November 2011

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 … . Of special note is the inclusion of solutions to all of the odd-numbered exercises. 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.
Library Bookwatch, December 2010

This book displays a unique combination of lightness and rigor, leavened with the right dose of humor. When I used it for a course, students could not get enough, and I have been recommending independent study from it to students wishing to take a core course in analysis without having taken the prerequisite course. The material is very well chosen and arranged, and teaching from Liebeck’s book has in many different ways been among my most rewarding teaching experiences during the last decades.
―Boris Hasselblatt, Tufts University, Medford, Massachusetts, USA

In addition to preparing students to go on in mathematics, it is also a wonderful choice for a student who will not necessarily go on in mathematics but wants a gentle but fascinating introduction into the culture of mathematics. … This book will give a student the understanding to go on in further courses in abstract algebra and analysis. The notion of a proof will no longer be foreign, but also mathematics will not be viewed as some abstract black box. At the very least, the student will have an appreciation of mathematics. As usual, Liebeck’s writing style is clear and easy to read. This is a book that could be read by a student on his or her own. There is a wide selection of problems ranging from routine to quite challenging.
―From the Foreword by Robert Guralnick, University of Southern California, Los Angeles, USA

Praise for Previous Editions:
The book will continue to serve well as a transitional course to rigorous mathematics and as an introduction to the mathematical world … .
―Gerald A. Heuer, Zentralblatt MATH, 2009

…a pleasure to read … a very welcome and highly accessible book.
―Michael Ward, The Mathematical Gazette, March 2007

About the Author

Martin Liebeck is a professor and head of the Pure Mathematics Section in the Department of Mathematics at Imperial College London. He earned his B.A., M.Sc., and D.Phil. in mathematics from the University of Oxford. Dr. Liebeck has published over 100 research articles and seven books. His research interests encompass algebraic groups, finite simple groups, probabilistic group theory, permutation groups, and algebraic combinatorics.

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Product Details

  • Series: Chapman Hall/CRC Mathematics Series (Book 28)
  • Paperback: 268 pages
  • Publisher: CRC Press; 3 edition (August 16, 2010)
  • Language: English
  • ISBN-10: 1439835985
  • ISBN-13: 978-1439835982
  • Product Dimensions: 9.1 x 5.9 x 0.7 inches
  • Shipping Weight: 1 pounds (View shipping rates and policies)
  • Average Customer Review: 4.8 out of 5 stars  See all reviews (6 customer reviews)
  • Amazon Best Sellers Rank: #444,348 in Books (See Top 100 in Books)

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6 of 7 people found the following review helpful By Midwest Book Review on December 10, 2010
Format: Paperback
Now in an updated and expanded third edition, "A Concise Introduction To Pure Mathematics" by Martin Liebeck provides an informed and informative presentation into a representative selection of fundamental ideas in mathematics including the theory of solving cubic equations, the use of Euler's formula to study 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, the limits of sequences and continuous functions, the use of the intermediate value theorem to prove the existence of nth roots, and so much more. Of special note is the inclusion of solutions to all of the odd-numbered exercises. An ideal, accessible, elegant, 'student friendly', and highly recommended choice for classroom textbooks for highschool and college level mathematics curriculums, "A Concise Introduction To Pure Mathematics" is further enhanced with a selective bibliography, and index of symbols, and a comprehensive index.
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3 of 3 people found the following review helpful By Richard on July 23, 2013
Format: Paperback Verified Purchase
I have not yet finished the book. However, so far every chapter introduces and reviews a familiar concept, and gradually takes it to a whole new level. A lot of the book deals with proofs, starting with simple statements and using those proofs to go further in depth. There is a wonderful bit of humor in each lesson, and a lot of the questions at the end of each chapter are really thought-provoking (answers are only given to odd numbered problems). Although this probably sounds a bit cheesy, this book has already given me a greater appreciation of the beauties and wonders of math.
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2 of 2 people found the following review helpful By 3rd Day Believer on April 18, 2015
Format: Paperback Verified Purchase
Cool book! I enjoy reading so-called pure math, though I must admit to some disappointment whenever I open such a book and find that it's full of . . . numbers! Any mathematician will tell you that math isn't about the objects (of which numbers are a tiny subset) but about the rules for combining those objects. This being said, there's a lot to enjoy in this book. I also recommend George Exner's An Accompaniment to Higher Mathematics. That really does take a more "pure" approach to this world. Maybe most fun (?) of all is The Princeton Companion to Mathematics edited by Timothy Gower, a very well-bound book that interlaces so many different fields of math, with excellent introductions, and a 1,000 page hardcover bargain at $84!
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