Interdisciplinary Lively Application Projects

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Interdisciplinary Lively Application Projects
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Author : David C. Arney
language : en
Publisher: American Mathematical Soc.
Release Date : 1997-12-31
Interdisciplinary Lively Application Projects written by David C. Arney 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 1997-12-31 with Mathematics categories.
The ILAPs provide supplemental classroom resource materials in the form of eight project handouts that you can use as student homework assignments. They require students to use scientific and quantitative reasoning, mathematical modeling, symbolic manipulation skills, and computational tools to solve and analyze scenarios, issues, and questions involving one or more disciplines. The prerequisite skills for the eight projects presented in the book range from freshman-level algebra, trigonometry, and precalculus; through calculus, elementary and intermediate differential equations, and discrete mathematics to advanced calculus and partial differential equations.
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Author :
language : en
Publisher: IAP
Release Date :
written by and has been published by IAP this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Cryptological Mathematics
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Author : Robert Edward Lewand
language : en
Publisher: American Mathematical Society
Release Date : 2023-01-19
Cryptological Mathematics written by Robert Edward Lewand and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-19 with Mathematics categories.
This is an introduction to the mathematics involved in the intriguing field of cryptology, the science of writing and reading secret messages which are designed to be read only by their intended recipients. It is written at an elementary level, suitable for beginning undergraduates, with careful explanations of all the concepts used. The basic branches of mathematics required, including number theory, abstract algebra and probability, are used to show how to encipher and decipher messages, and why this works, giving a practical as well as theoretical basis to the subject. Challenging computer programming exercises are also included. The book is written in an engaging style which will appeal to all, and also includes historical background on some of the founders of the subject. It will be of interest both to students wishing to learn cryptology per se, and also to those searching for practical applications of seemingly abstract mathematics.
Combinatorics
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Author : Daniel A. Marcus
language : en
Publisher: American Mathematical Soc.
Release Date : 1998-12-31
Combinatorics written by Daniel A. Marcus 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 1998-12-31 with Mathematics categories.
The format of this book is unique in that it combines features of a traditional text with those of a problem book. The material is presented through a series of problems, about 250 in all, with connecting text; this is supplemented by 250 additional problems suitable for homework assignment. The problems are structured in order to introduce concepts in a logical order and in a thought-provoking way. The first four sections of the book deal with basic combinatorial entities; the last four cover special counting methods. Many applications to probability are included along the way. Students from a wide range of backgrounds--mathematics, computer science, or engineering--will appreciate this appealing introduction.
Elementary Mathematical Models
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Author : Dan Kalman
language : en
Publisher: American Mathematical Society
Release Date : 2023-03-09
Elementary Mathematical Models written by Dan Kalman and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-09 with Mathematics categories.
The language of mathematics has proven over centuries of application to be an indispensable tool for the expression and analysis of real problems. With numerical, graphical, and theoretical methods, this book examines the relevance of mathematical models to phenomena ranging from population growth and economics to medicine and the physical sciences. In a book written for the intelligent and literate non-mathematician, Kalman aims at an understanding of the power and utility of quantitative methods rather than at technical mastery of mathematical operations. He shows first that mathematical models can serve a critical function in understanding the world, and he concludes with a discussion of the problems encountered by traditional algebraic assumptions in chaos theory. Though models can often approximate future events based on existing data and quantitative relationships, Kalman shows that the appearance of regularity and order can often be misleading. By beginning with quantitative models and ending with an introduction to chaos, Kalman offers a broad treatment of both the power and limitations of quantitatively-based predictions.
Inverse Problems
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Author : Charles W. Groetsch
language : en
Publisher: American Mathematical Soc.
Release Date : 1999-12-31
Inverse Problems written by Charles W. Groetsch 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 1999-12-31 with Mathematics categories.
Problem solving in mathematics is often thought of as a one way process. For example: take two numbers and multiply them together. However for each problem there is also an inverse problem which runs in the opposite direction: now take a number and find a pair of factors. Such problems are considerably more important, in mathematics and throughout science, than they might first appear. This book concentrates on these inverse problems and how they can be usefully introduced to undergraduate students. A historical introduction sets the scene and gives a cultural context for the rest of the book. Chapters dealing with inverse problems in calculus, differential equations and linear algebra then follow and the book concludes with suggestions for further reading. Whatever their own field of expertise, this will be an essential purchase for anyone interested in the teaching of mathematics.
Counterexamples In Calculus
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Author : Sergiy Klymchuk
language : en
Publisher: American Mathematical Soc.
Release Date : 2010-12-31
Counterexamples In Calculus written by Sergiy Klymchuk 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 2010-12-31 with Mathematics categories.
Counterexamples in Calculus serves as a supplementary resource to enhance the learning experience in single variable calculus courses. This book features carefully constructed incorrect mathematical statements that require students to create counterexamples to disprove them. Methods of producing these incorrect statements vary. At times the converse of a well-known theorem is presented. In other instances crucial conditions are omitted or altered or incorrect definitions are employed. Incorrect statements are grouped topically with sections devoted to: Functions, Limits, Continuity, Differential Calculus and Integral Calculus. This book aims to fill a gap in the literature and provide a resource for using counterexamples as a pedagogical tool in the study of introductory calculus.
Oval Track And Other Permutation Puzzles
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Author : John O. Kiltinen
language : en
Publisher: American Mathematical Soc.
Release Date : 2003-12-31
Oval Track And Other Permutation Puzzles written by John O. Kiltinen 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 2003-12-31 with Mathematics categories.
Popular puzzles such as the Rubik's cube and so-called oval track puzzles give a concrete representation to the theory of permutation groups. They are relatively simple to describe in group theoretic terms, yet present a challenge to anyone trying to solve them. John Kiltinen shows how the theory of permutation groups can be used to solve a range of puzzles. There is also an accompanying CD that can be used to reduce the need for carrying out long calculations and memorizing difficult sequences of moves. This book will prove useful as supplemental material for students taking abstract algebra courses. It provides a real application of the theory and methods of permutation groups, one of the standard topics. It will also be of interest to anyone with an interest in puzzles and a basic grounding in mathematics. The [Author]; has provided plenty of exercises and examples to aid study.
Essentials Of Mathematics
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Author : Margie Hale
language : en
Publisher: MAA
Release Date : 2003-12-24
Essentials Of Mathematics written by Margie Hale and has been published by MAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-24 with Mathematics categories.
Textbook and self-study guide for students beginning to study mathematics requiring proof.
Math Made Visual
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Author : Claudi Alsina
language : en
Publisher: MAA
Release Date : 2006-07-06
Math Made Visual written by Claudi Alsina and has been published by MAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-07-06 with Education categories.
A book describing how visualization techniques can be used in understanding and teaching mathematics.