Discovering Mathematics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Discovering Mathematics write by A. Gardiner. This book was released on 2006-01-26. Discovering Mathematics available in PDF, EPUB and Kindle. 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
Discovering Mathematics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Discovering Mathematics write by Jiří Gregor. This book was released on 2010-12-21. Discovering Mathematics available in PDF, EPUB and Kindle. 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
Discovering Mathematics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Discovering Mathematics write by Richard N. Aufmann. This book was released on 2018-05-30. Discovering Mathematics available in PDF, EPUB and Kindle. Aufmann's DISCOVERING MATHEMATICS: A QUANTITATIVE REASONING APPROACH with WebAssign is designed for today's Quantitative Reasoning course. Focusing on topics relevant to students' lives and developing critical-thinking skills they can apply beyond the course, this text provides students with exactly what they need in an approachable, engaging and streamlined format. Flexible for all teaching models--from lecture, hybrid or fully online to flipped and active-learning environments--DISCOVERING MATHEMATICS: A QUANTITATIVE REASONING APPROACH will empower you to accomplish all your course objectives.
Knots and Surfaces
Knots and Surfaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Knots and Surfaces write by David W. Farmer. This book was released on 1996. Knots and Surfaces available in PDF, EPUB and Kindle. In most mathematics textbooks, the most exciting part of mathematics - the process of invention and discovery - is completely hidden from the student. The aim of Knots and Surfaces is to change all that. Knots and Surfaces guides the reader through Euler's formula, one and two-sided surfaces, and knot theory using games and examples. By means of a series of carefully selected tasks, this book leads the reader on to discover some real mathematics. There are no formulas to memorize; no procedures to follow. This book is a guide to the mathematics - it starts you in the right direction and brings you back if you stray too far. Discovery is left to you. This book is aimed at undergraduates and those with little background knowledge of mathematics.
Groups and Symmetry: A Guide to Discovering Mathematics
Groups and Symmetry: A Guide to Discovering Mathematics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Groups and Symmetry: A Guide to Discovering Mathematics write by David W. Farmer. This book was released on 1996. Groups and Symmetry: A Guide to Discovering Mathematics available in PDF, EPUB and Kindle. 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.
