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Discovering Mathematics

2010-12-21 Mathematics
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Release : 2010-12-21
Genre : Mathematics
Kind : eBook
Book Rating : 649/5 ( reviews)

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Book Synopsis Discovering Mathematics by : Jiří Gregor

Download or read book Discovering Mathematics written by Jiří Gregor. This book was released on 2010-12-21. Available in PDF, EPUB and Kindle. Book excerpt: The book contains chapters of structured approach to problem solving in mathematical analysis on an intermediate level. It follows the ideas of G.Polya and others, distinguishing between exercises and problem solving in mathematics. Interrelated concepts are connected by hyperlinks, pointing toward easier or more difficult problems so as to show paths of mathematical reasoning. Basic definitions and theorems can also be found by hyperlinks from relevant places. Problems are open to alternative formulations, generalizations, simplifications, and verification of hypotheses by the reader; this is shown to be helpful in solving problems. The book presents how advanced mathematical software can aid all stages of mathematical reasoning while the mathematical content remains in foreground. The authors show how software can contribute to deeper understanding and to enlarging the scope of teaching for students and teachers of mathematics.

Discovering Mathematics

2006-01-26 Mathematics
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Release : 2006-01-26
Genre : Mathematics
Kind : eBook
Book Rating : 999/5 ( reviews)

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Book Synopsis Discovering Mathematics by : A. Gardiner

Download or read book Discovering Mathematics written by A. Gardiner. This book was released on 2006-01-26. Available in PDF, EPUB and Kindle. Book excerpt: The term "mathematics" usually suggests an array of familiar problems with solutions derived from well-known techniques. Discovering Mathematics: The Art of Investigation takes a different approach, exploring how new ideas and chance observations can be pursued, and focusing on how the process invariably leads to interesting questions that would never have otherwise arisen. With puzzles involving coins, postage stamps, and other commonplace items, students are challenged to account for the simple explanations behind perplexing mathematical phenomena. Elementary methods and solutions allow readers to concentrate on the way in which the material is explored, as well as on strategies for answers that aren't immediately obvious. The problems don't require the kind of sophistication that would put them out of reach of ordinary students, but they're sufficiently complex to capture the essential features of mathematical discovery. Complete solutions appear at the end.

Groups and Symmetry: A Guide to Discovering Mathematics

1996 Mathematics
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Release : 1996
Genre : Mathematics
Kind : eBook
Book Rating : 502/5 ( reviews)

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Book Synopsis Groups and Symmetry: A Guide to Discovering Mathematics by : David W. Farmer

Download or read book Groups and Symmetry: A Guide to Discovering Mathematics written by David W. Farmer. This book was released on 1996. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is discovered by looking at examples, noticing patterns, making conjectures, and testing those conjectures. Once discovered, the final results get organized and put in textbooks. The details and the excitement of the discovery are lost. This book introduces the reader to the excitement of the original discovery. By means of a wide variety of tasks, readers are led to find interesting examples, notice patterns, devise rules to explain the patterns, and discover mathematics for themselves. The subject studied here is the mathematics behind the idea of symmetry, but the methods and ideas apply to all of mathematics. The only prerequisites are enthusiasm and a knowledge of basic high-school math. The book is only a guide. It will start you off in the right direction and bring you back if you stray too far. The excitement and the discovery are left to you.

Discovering Mathematics with Maple

2012-12-06 Computers
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Release : 2012-12-06
Genre : Computers
Kind : eBook
Book Rating : 264/5 ( reviews)

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Book Synopsis Discovering Mathematics with Maple by : R.J. Stroeker

Download or read book Discovering Mathematics with Maple written by R.J. Stroeker. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: This unusual introduction to Maple shows readers how Maple or any other computer algebra system fits naturally into a mathematically oriented work environment. Designed for mathematicians, engineers, econometricians, and other scientists, this book shows how computer algebra can enhance their theoretical work. A CD-ROM contains all the Maple worksheets presented in the book.

Discovering Mathematics with Magma

2007-07-10 Computers
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Release : 2007-07-10
Genre : Computers
Kind : eBook
Book Rating : 348/5 ( reviews)

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Book Synopsis Discovering Mathematics with Magma by : Wieb Bosma

Download or read book Discovering Mathematics with Magma written by Wieb Bosma. This book was released on 2007-07-10. Available in PDF, EPUB and Kindle. Book excerpt: Based on the ontology and semantics of algebra, the computer algebra system Magma enables users to rapidly formulate and perform calculations in abstract parts of mathematics. Edited by the principal designers of the program, this book explores Magma. Coverage ranges from number theory and algebraic geometry, through representation theory and group theory to discrete mathematics and graph theory. Includes case studies describing computations underpinning new theoretical results.

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