Discovering Mathematics
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Discovering Mathematics
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Author : Jiří Gregor
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-12-21
Discovering Mathematics written by Jiří Gregor and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-21 with Mathematics categories.
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
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Author : A. Gardiner
language : en
Publisher: Courier Corporation
Release Date : 2006-01-26
Discovering Mathematics written by A. Gardiner and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-26 with Mathematics categories.
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.
Discovering Mathematics With Maple
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Author : R.J. Stroeker
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Discovering Mathematics With Maple written by R.J. Stroeker and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.
his book grew out of the wish to let students of econometrics get acquainted T with the powerful techniques of computer algebra at an early stage in their curriculum. As no textbook available at the time met our requirements as to content and presentation, we had no other choice than to write our own course material. The try-out on a group of 80 first year students was not without success, and after adding some necessary modifications, the same material was presented to a new group of students of similar size the year after. Some more adjustments were made, and the final result now lies before you. Working with computer algebra packages like Derive, Mathematica, and Maple over many years convinced us of the favourable prospects of computer algebra as a means of improving the student's understanding of the difficult concepts on which mathematical techniques are often based. Moreover, advanced mathematical ed ucation, be it for mathematics itself or for mathematical statistics, operations research and other branches of applied mathematics, can greatly profit from the large amount of non-trivial mathematical knowledge that is stored in a computer algebra system. Admittedly, the fact remains that many a tough mathematical problem, such as solving a complicated non-linear system or obtaining a finite ex pression for a multiple parameter integral, can not easily be handled by computer algebra either, if at all.
Groups And Symmetry A Guide To Discovering Mathematics
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Author : David W. Farmer
language : en
Publisher: American Mathematical Soc.
Release Date : 1996
Groups And Symmetry A Guide To Discovering Mathematics written by David W. Farmer and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
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 Math For Global Learners 1
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Author :
language : en
Publisher: Rex Bookstore, Inc.
Release Date :
Discovering Math For Global Learners 1 written by and has been published by Rex Bookstore, Inc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Discovering Math For Global Learners 6
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Author :
language : en
Publisher: Rex Bookstore, Inc.
Release Date :
Discovering Math For Global Learners 6 written by and has been published by Rex Bookstore, Inc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Discovering Math For Global Learners 4
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Author :
language : en
Publisher: Rex Bookstore, Inc.
Release Date :
Discovering Math For Global Learners 4 written by and has been published by Rex Bookstore, Inc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
A World Of Patterns Discovering Math And Fun All Around
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date :
A World Of Patterns Discovering Math And Fun All Around written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on with Education categories.
In this captivating book, we take you on an enthralling journey to explore the diverse and fascinating world of patterns. From the intricate designs in mathematics to the rhythmic melodies in music, patterns are ubiquitous in our lives. They shape our understanding of the universe, enhance our appreciation for beauty, and provide a glimpse into the interconnectedness of all things. With engaging language and accessible explanations, this book delves into the realm of patterns, revealing their significance in various aspects of our existence. From the patterns found in nature, such as the Fibonacci sequence in flower petals and the intricate patterns on butterfly wings, to the patterns created by humans, such as the mesmerizing mandalas and the rhythmic beats of music, this book showcases the diversity and beauty of patterns. But patterns are not just aesthetically pleasing; they also play a crucial role in our understanding of the world. In mathematics and science, patterns help us make sense of complex data, predict outcomes, and uncover hidden relationships. From the patterns in the stars to the patterns in DNA, patterns provide valuable insights into the inner workings of the universe. This book is designed for readers of all ages and backgrounds. With its captivating storytelling and thought-provoking insights, it promises an enjoyable and informative experience. Whether you are a seasoned pattern enthusiast or just beginning to explore this fascinating subject, this book is sure to captivate and inspire you. So, embark on this adventure with us, unraveling the mysteries of patterns and discovering the hidden connections that shape our world. Prepare to be amazed by the beauty and diversity of patterns, and gain a deeper understanding of the universe we inhabit. If you like this book, write a review!
Discovering Math For Global Learners 5
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Author :
language : en
Publisher: Rex Bookstore, Inc.
Release Date :
Discovering Math For Global Learners 5 written by and has been published by Rex Bookstore, Inc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Discovering Math For Global Learners 2
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Author :
language : en
Publisher: Rex Bookstore, Inc.
Release Date :
Discovering Math For Global Learners 2 written by and has been published by Rex Bookstore, Inc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.