An Introduction to Mathematical Modeling

An Introduction to Mathematical Modeling

Author: Edward A. Bender

Publisher: Courier Corporation

Published: 2012-05-23

Total Pages: 273

ISBN-13: 0486137120

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Employing a practical, "learn by doing" approach, this first-rate text fosters the development of the skills beyond the pure mathematics needed to set up and manipulate mathematical models. The author draws on a diversity of fields — including science, engineering, and operations research — to provide over 100 reality-based examples. Students learn from the examples by applying mathematical methods to formulate, analyze, and criticize models. Extensive documentation, consisting of over 150 references, supplements the models, encouraging further research on models of particular interest. The lively and accessible text requires only minimal scientific background. Designed for senior college or beginning graduate-level students, it assumes only elementary calculus and basic probability theory for the first part, and ordinary differential equations and continuous probability for the second section. All problems require students to study and create models, encouraging their active participation rather than a mechanical approach. Beyond the classroom, this volume will prove interesting and rewarding to anyone concerned with the development of mathematical models or the application of modeling to problem solving in a wide array of applications.


Mathematical Approach to Puzzle Solving

Mathematical Approach to Puzzle Solving

Author: Kiran Ananthpur Bacche

Publisher: Notion Press

Published: 2016-08-08

Total Pages: 134

ISBN-13: 1945688211

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This book is about two things – Puzzles and Mathematics. It talks about how you can model a puzzle mathematically and solve it in an easy, structured and systematic way. So you would not only learn the different mathematical concepts, but also at the same time enjoy solving different well known puzzles. And if that’s not enough, there is a set of interesting puzzles at the end of each chapter, to keep your grey cells ticking. This book not only helps you understand the mathematical concepts in a fun way, but also helps you learn the techniques of solving puzzles in an easy way. So if you like mathematics or puzzles, then you would definitely like this book. This book is recommended for school and college students as it would help them appreciate the practical application of the mathematical concepts they learn as part of their academics. And if you are a serious puzzle solver, then this is the book you are waiting for. Not only does the book teach you the modelling techniques to solve a puzzle, but also challenges you with a set of interesting new puzzles. Written in a simple way, with self-explaining graphical illustrations, this book is a treat.


40 Puzzles and Problems in Probability and Mathematical Statistics

40 Puzzles and Problems in Probability and Mathematical Statistics

Author: Wolf Schwarz

Publisher: Springer Science & Business Media

Published: 2007-11-25

Total Pages: 124

ISBN-13: 0387735127

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This book is based on the view that cognitive skills are best acquired by solving challenging, non-standard probability problems. Many puzzles and problems presented here are either new within a problem solving context (although as topics in fundamental research they are long known) or are variations of classical problems which follow directly from elementary concepts. A small number of particularly instructive problems is taken from previous sources which in this case are generally given. This book will be a handy resource for professors looking for problems to assign, for undergraduate math students, and for a more general audience of amateur scientists.


Mega-Fun Math Games and Puzzles for the Elementary Grades

Mega-Fun Math Games and Puzzles for the Elementary Grades

Author: Michael S. Schiro

Publisher: John Wiley & Sons

Published: 2009-02-24

Total Pages: 342

ISBN-13: 047034475X

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Make developing basic math skills fun and painless With this great collection of over 125 easy-to-use games, puzzles, and activities, teachers and parents can help kids comprehend fundamental math concepts, including addition, subtraction, multiplication, division, place value, fractions, and more. All games and puzzles use easy-to-find household items such as paper and pencil, playing cards, coins, and dice. The activities also help children develop problem-solving skills, such as testing hypotheses, creating strategies, and organizing information, as well as spatial relations skills, part-to-whole skills, and memory. Michael Schiro, EdD (Chestnut Hill, MA), is an associate professor at the School of Education at Boston College. He is the author of several books on teaching and learning math and is a frequent presenter at local and national math conferences.


Adventures in Group Theory

Adventures in Group Theory

Author: David Joyner

Publisher: JHU Press

Published: 2008-12-29

Total Pages: 329

ISBN-13: 0801890136

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David Joyner uses mathematical toys such as the Rubik's Cube to make abstract algebra and group theory fun. This updated second edition uses SAGE, an open-source computer algebra system, to illustrate many of the computations.


Mathematics Education in Singapore

Mathematics Education in Singapore

Author: Tin Lam Toh

Publisher: Springer

Published: 2019-02-07

Total Pages: 502

ISBN-13: 9811335737

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This book provides a one-stop resource for mathematics educators, policy makers and all who are interested in learning more about the why, what and how of mathematics education in Singapore. The content is organized according to three significant and closely interrelated components: the Singapore mathematics curriculum, mathematics teacher education and professional development, and learners in Singapore mathematics classrooms. Written by leading researchers with an intimate understanding of Singapore mathematics education, this up-to-date book reports the latest trends in Singapore mathematics classrooms, including mathematical modelling and problem solving in the real-world context.


Mathematics in Nature

Mathematics in Nature

Author: John Adam

Publisher: Princeton University Press

Published: 2011-10-02

Total Pages: 408

ISBN-13: 1400841011

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From rainbows, river meanders, and shadows to spider webs, honeycombs, and the markings on animal coats, the visible world is full of patterns that can be described mathematically. Examining such readily observable phenomena, this book introduces readers to the beauty of nature as revealed by mathematics and the beauty of mathematics as revealed in nature. Generously illustrated, written in an informal style, and replete with examples from everyday life, Mathematics in Nature is an excellent and undaunting introduction to the ideas and methods of mathematical modeling. It illustrates how mathematics can be used to formulate and solve puzzles observed in nature and to interpret the solutions. In the process, it teaches such topics as the art of estimation and the effects of scale, particularly what happens as things get bigger. Readers will develop an understanding of the symbiosis that exists between basic scientific principles and their mathematical expressions as well as a deeper appreciation for such natural phenomena as cloud formations, halos and glories, tree heights and leaf patterns, butterfly and moth wings, and even puddles and mud cracks. Developed out of a university course, this book makes an ideal supplemental text for courses in applied mathematics and mathematical modeling. It will also appeal to mathematics educators and enthusiasts at all levels, and is designed so that it can be dipped into at leisure.


Mathematics Instruction: Goals, Tasks And Activities - Yearbook 2018, Association Of Mathematics Educators

Mathematics Instruction: Goals, Tasks And Activities - Yearbook 2018, Association Of Mathematics Educators

Author: Pee Choon Toh

Publisher: World Scientific

Published: 2018-05-21

Total Pages: 286

ISBN-13: 981327168X

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The book, the tenth volume in the series of yearbooks by the Association of Mathematics Educators in Singapore, comprises 14 chapters written by renowned researchers in mathematics education. The chapters offer mathematics teachers a cache of teaching ideas and resources for classroom instruction. Readers will find various task design principles, examples of mathematical tasks used in classrooms and teaching approaches to implement the tasks. Through these discussions, readers are invited to reflect and rethink their beliefs about mathematics teaching and learning in the 21st century, and reexamine the tasks and activities that they use in the classroom, in order to bring about positive impact on students' learning of mathematics.This book contributes towards literature in the field of mathematics education, specifically on mathematics instruction and the design of mathematical tasks and activities.