A Closer Look at Mathematics
Daepp, Ulrich, Gorkin, Pamela
Softcover reprint of hardcover 1st ed. 2003, XVI, 395 p.
Springer eBooks may be purchased by end-customers only and are sold without copy protection (DRM free). Instead, all eBooks include personalized watermarks. This means you can read the Springer eBooks across numerous devices such as Laptops, eReaders, and tablets.
You can pay for Springer eBooks with Visa, Mastercard, American Express or Paypal.
After the purchase you can directly download the eBook file or read it online in our Springer eBook Reader. Furthermore your eBook will be stored in your MySpringer account. So you can always re-download your eBooks.
(net)
price for USA
ISBN 978-0-387-21560-0
digitally watermarked, no DRM
Included Format: PDF
download immediately after purchase
Softcover (also known as softback) version.
You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.
Standard shipping is free of charge for individual customers.
This book, which is based on Pólya's method of problem solving, aids students in their transition from calculus (or precalculus) to higher-level mathematics. The book begins by providing a great deal of guidance on how to approach definitions, examples, and theorems in mathematics. It ends by providing projects for independent study.
Students will follow Pólya's four step process: learn to understand the problem; devise a plan to solve the problem; carry out that plan; and look back and check what the results told them. Special emphasis is placed on reading carefully and writing well. The authors have included a wide variety of examples, exercises with solutions, problems, and over 40 illustrations, chosen to emphasize these goals. Historical connections are made throughout the text, and students are encouraged to use the rather extensive bibliography to begin making connections of their own. While standard texts in this area prepare students for future courses in algebra, this book also includes chapters on sequences, convergence, and metric spaces for those wanting to bridge the gap between the standard course in calculus and one in analysis.
Content Level » Lower undergraduate
Keywords » Algebra - Arithmetic - Cantor - Cauchy–Bunyakovsky–Schwarz inequality - Countable set - Finite - Problem solving - Problem-solving - calculus - function - mathematical induction - mathematics - proof - theorem
Related subjects » Analysis - Mathematics - Number Theory and Discrete Mathematics
Get alerted on new Springer publications in the subject area of Mathematical Logic and Foundations.