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.
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 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.
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 3
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Author :
language : en
Publisher: Rex Bookstore, Inc.
Release Date :
Discovering Math For Global Learners 3 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.
Exploring Mathematics
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Author : Daniel Grieser
language : en
Publisher: Springer
Release Date : 2018-05-21
Exploring Mathematics written by Daniel Grieser and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-21 with Mathematics categories.
Have you ever faced a mathematical problem and had no idea how to approach it? Or perhaps you had an idea but got stuck halfway through? This book guides you in developing your creativity, as it takes you on a voyage of discovery into mathematics. Readers will not only learn strategies for solving problems and logical reasoning, but they will also learn about the importance of proofs and various proof techniques. Other topics covered include recursion, mathematical induction, graphs, counting, elementary number theory, and the pigeonhole, extremal and invariance principles. Designed to help students make the transition from secondary school to university level, this book provides readers with a refreshing look at mathematics and deep insights into universal principles that are valuable far beyond the scope of this book. Aimed especially at undergraduate and secondary school students as well as teachers, this book will appeal to anyone interested in mathematics. Only basic secondary school mathematics is required, including an understanding of numbers and elementary geometry, but no calculus. Including numerous exercises, with hints provided, this textbook is suitable for self-study and use alongside lecture courses.
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 Mathematics With Magma
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Author : Wieb Bosma
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-07-10
Discovering Mathematics With Magma written by Wieb Bosma 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 2007-07-10 with Computers categories.
The appearance of this volume celebrates the ?rst decade of Magma, a new computeralgebrasystemlaunchedattheFirstMagmaConferenceonCom- tational Algebra held at Queen Mary and West?eld College, London, August 1993. This book introduces the reader to the role Magma plays in advanced mathematical research. Each paper examines how the computer can be used to gain insight into either a single problem or a small group of closely related problems. The intention is to present su?cient detail so that a reader can (a), gain insight into the mathematical questions that are the origin of the problems,and(b),developanunderstandingastohowsuchcomputations are speci?edinMagma.Itishopedthatthereaderwillcometoarealisationofthe important rolethatcomputational algebracanplayinmathematical research. Readers not primarily interested in using Magma will easily acquire the skills needed to undertake basic programming in Magma, while experienced Magma users can learn both mathematics and advanced computational methods in areas related to their own. The core of the volume comprises 14 papers. The authors were invited to submit articles on designated topics and these articles were then reviewed by referees. Although by no means exhaustive, the topics range over a consid- ablepartofMagma’scoverageofalgorithmicalgebra:fromnumbertheoryand algebraicgeometry,viarepresentationtheoryandcomputationalgrouptheory to some branches of discrete mathematics and graph theory. The papers are preceded by an outline of the Magma project, a brief summary of the papers and some instructions on reading the Magma code. A basic introduction to the Magma language is given in an appendix. Theeditorsexpresstheirgratitudetothecontributorstothisvolume,both for the work put into producing the papers and for theirpatience.