Springer Undergraduate Texts in Mathematics and Technology

An Introduction to Modern Mathematical Computing

With Maple™

Authors: Borwein, Jonathan, Skerritt, Matthew P.

  • Places primary importance on the mathematics, rather than being a 'how to'manual for making computations
  • Integrates numerous worked examples and introduces all key programming constructions
  • Includes exercises, sample tests, and a careful selection of 'explorations' suitable for either independent studies or for term projects
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eBook $44.99
price for USA (gross)
  • ISBN 978-1-4614-0122-3
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  • Immediate eBook download after purchase
Hardcover $59.95
price for USA
  • ISBN 978-1-4614-0121-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $59.95
price for USA
  • ISBN 978-1-4939-4245-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the eBook  
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About this Textbook

Thirty years ago, mathematical computation was difficult to perform and thus used sparingly. However, mathematical computation has become far more accessible due to the emergence of the personal computer, the discovery of fiber-optics and the consequent development of the modern internet, and the creation of Maple™, Mathematica®, and Matlab®.

 

An Introduction to Modern Mathematical Computing: With Maple™ looks beyond teaching the syntax and semantics of Maple and similar programs, and focuses on why they are necessary tools for anyone who engages in mathematics. It is an essential read for mathematicians, mathematics educators, computer scientists, engineers, scientists, and anyone who wishes to expand their knowledge of mathematics. This volume will also explain how to become an “experimental mathematician,” and will supply useful information about how to create better proofs.

 

The text covers material in elementary number theory, calculus, multivariable calculus, introductory linear algebra, and visualization and interactive geometric computation. It is intended for upper-undergraduate students, and as a reference guide for anyone who wishes to learn to use the Maple program.

About the authors

Jonathan M. Borwein is currently Laureate Professor in the School of Mathematical and Physical Sciences at the University of Newcastle (NSW) with adjunct appointments at Dalhousie and at Simon Fraser. He received his Doctorate from Oxford in 1974, and has published extensively in optimization, analysis and computational mathematics, and has received various prizes both for research and for exposition. He directs the University of Newcastle’s Priority Research Centre in Computer Assisted Research Mathematics and its Applications (CARMA).

Reviews

From the reviews:

“This book is intended to teach the reader the usage of the computer algebra system Maple. … The book is readable and valuable to mathematics, science, and engineering undergraduates at the sophomore or above level. It could also be valuable to practitioners in those fields who want to learn Maple in situ. … Summing Up: Recommended. Lower-division undergraduates through graduate students; professionals.” (D. Z. Spicer, Choice, Vol. 49 (5), January, 2012)

“This is a Maple-application book which illustrates some basic areas of mathematics by symbolic computation examples. … The presentation is clear with all necessary details and comments for ensuring a full understanding of the considered examples. The intended beneficiaries are undergraduate students, teachers giving courses to undergraduate students, as well as programmers interested in using Maple for several classes of mathematical problems.” (Octavian Pastravanu, Zentralblatt MATH, Vol. 1228, 2012)

“In An Introduction to Modern Mathematical Computing with Maple, Borwein and Skerritt show that computers are an excellent companion for learning mathematics. … The theme of the book is that Maple can supplement mathematics learning and, what is more, can do much of the mathematics for the students. … The temptation is tremendous for students to skip the real work to have a true understanding of mathematics.” (David S. Mazel, The Mathematical Association of America, June, 2012)


Table of contents (4 chapters)

  • Number Theory

    Borwein, Jonathan M. (et al.)

    Pages 1-65

  • Calculus

    Borwein, Jonathan M. (et al.)

    Pages 67-128

  • Linear Algebra

    Borwein, Jonathan M. (et al.)

    Pages 129-185

  • Visualization and Geometry: A Postscript

    Borwein, Jonathan M. (et al.)

    Pages 187-201

Buy this book

eBook $44.99
price for USA (gross)
  • ISBN 978-1-4614-0122-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $59.95
price for USA
  • ISBN 978-1-4614-0121-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $59.95
price for USA
  • ISBN 978-1-4939-4245-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
An Introduction to Modern Mathematical Computing
Book Subtitle
With Maple™
Authors
Series Title
Springer Undergraduate Texts in Mathematics and Technology
Copyright
2011
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media LLC
eBook ISBN
978-1-4614-0122-3
DOI
10.1007/978-1-4614-0122-3
Hardcover ISBN
978-1-4614-0121-6
Softcover ISBN
978-1-4939-4245-9
Series ISSN
1867-5506
Edition Number
1
Number of Pages
XVI, 216
Topics