Item description for Introductory Mathematics: Algebra and Analysis (Springer Undergraduate Mathematics Series) by Geoff Smith...
This text provides a self-contained introduction to Pure Mathematics. The style is less formal than in most text books and this book can be used either as a first semester course book, or as introductory reading material for a student on his or her own. An enthusiastic student would find it ideal reading material in the period before going to University, as well as a companion for first-year pure mathematics courses. The book begins with Sets, Functions and Relations, Proof by induction and contradiction, Complex Numbers, Vectors and Matrices, and provides a brief introduction to Group Theory. It moves onto analysis, providing a gentle introduction to epsilon-delta technology and finishes with Continuity and Functions, or hat you have to do to make the calculus work Geoff Smith's book is based on a course tried and tested on first-year students over several years at Bath University. Exercises are scattered throughout the book and there are extra exercises on the Internet.
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Est. Packaging Dimensions: Length: 0.5" Width: 6.75" Height: 9.5" Weight: 0.85 lbs.
Release Date Feb 2, 2000
ISBN 3540761780 ISBN13 9783540761785
Reviews - What do customers think about Introductory Mathematics: Algebra and Analysis (Springer Undergraduate Mathematics Series)?
An excellent introduction to analysis and algebra Apr 11, 2003
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.
A lucid, laugh-a-minute delight Aug 19, 1999
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.
A first-rate and funny introduction to algebra and analysis Apr 6, 1999
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.