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Introductory Mathematics: Algebra and Analysis (Springer Undergraduate Mathematics Series) Paperback


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Introductory Mathematics: Algebra and Analysis (Springer Undergraduate Mathematics Series) + Elements of Logic via Numbers and Sets (Springer Undergraduate Mathematics Series)
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Product Details

  • Series: Springer Undergraduate Mathematics Series
  • Paperback: 215 pages
  • Publisher: Springer; 2nd,Corrected edition (1998)
  • Language: English
  • ISBN-10: 3540761780
  • ISBN-13: 978-3540761785
  • Product Dimensions: 9.2 x 6.7 x 0.6 inches
  • Shipping Weight: 13.4 ounces (View shipping rates and policies)
  • Average Customer Review: 4.5 out of 5 stars  See all reviews (6 customer reviews)
  • Amazon Best Sellers Rank: #362,626 in Books (See Top 100 in Books)

Customer Reviews

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12 of 12 people found the following review helpful By A Customer on August 18, 1999
Format: Paperback
Here is an author who brings a fresh vitality to basic undergraduate mathematics with his witty, discursive treatment of topics ranging from the nature of a proof to a kit for the construction of the real numbers.
Smith adopts a tone of camaraderie which lures the reader along a trail of mathematical discovery, all the while remaining true to the standards of exactitude which must characterise mathematics at this level. Never condescending, he blithely raises issues which other authors would sweep under the carpet in a beginners' textbook, treating them with his inimitable forthright professionalism. The author's exuberant interest and keen mind pervade the book, making it a perfect delight to read.
I would recommend that all young undergraduates/school-leavers are given this book before more traditional dusty texts blind them to the sheer pleasure of mathematics.
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9 of 9 people found the following review helpful By A Customer on April 5, 1999
Format: Paperback
As a returning novice to university mathematics, (it is some 15 years since the last time I last took an introductory maths course) I found this book to be both refreshing and highly original. The material and layout is different to most textbooks. It is probably a book for people who want to grasp the idea of mathematics rather than just pass an exam. However, as the author notes in the preface, it is (other things being equal) both a 'gentle and relaxed introduction'. The mathematics is pure and the emphasis is on the idea rather than on how to solve particular problems in the life sciences or engineering. Topics covered include; Sets, functions and relations; Proofs; Complex numbers; Vectors and matrices; Group theory; Sequences and series; Real numbers; and Mathematical analysis. It is an excellent book for those interested in learning and understanding mathematics. The colloquial tone helps alot and it is a style that deserves to become more common in the future. The book also offers an interesting glimpse of the mathematical mind. The author has a remarkable sense of humour and the book is hilarious at times.
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6 of 6 people found the following review helpful By Gyesi Amaniampong on April 11, 2003
Format: Paperback
If you want to understand mathematics after high school you must read this book first before plunging into university level mathematics. It will make your journey in mathematics much easier.
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