[Full Book] Oval Track And Other Permutation Puzzles

Oval Track and Other Permutation Puzzles PDF
Book Details
Publisher: American Mathematical Soc.
Author: John O. Kiltinen
Category : Mathematics
Languages : en
Pages : 305

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Book Description

Oval Track And Other Permutation Puzzles

Oval Track And Other Permutation Puzzles by John O. Kiltinen, Oval Track And Other Permutation Puzzles Books available in PDF, EPUB, Mobi Format. Download Oval Track And Other Permutation Puzzles books, 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.


[Full Book] Oval Track And Other Permutation Puzzles

Oval Track and Other Permutation Puzzles PDF
Book Details
Publisher: Mathematical Association of America
Author: John O. Kiltinen
Category : Mathematics
Languages : en
Pages : 322

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Book Description

Oval Track And Other Permutation Puzzles

Oval Track And Other Permutation Puzzles by John O. Kiltinen, Oval Track And Other Permutation Puzzles Books available in PDF, EPUB, Mobi Format. Download Oval Track And Other Permutation Puzzles books, 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 memorising 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.


[Full Book] Oval Track And Other Permutation Puzzles

Oval Track and Other Permutation Puzzles PDF
Book Details
Publisher: Cambridge University Press
Author: John O. Kiltinen
Category : Mathematics
Languages : en
Pages : 305

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Book Description

Oval Track And Other Permutation Puzzles

Oval Track And Other Permutation Puzzles by John O. Kiltinen, Oval Track And Other Permutation Puzzles Books available in PDF, EPUB, Mobi Format. Download Oval Track And Other Permutation Puzzles books, Book and CD explaining how to apply group theory to solve a range of popular puzzles.


[Full Book] Mathematical Connections

Mathematical Connections PDF
Book Details
Publisher: American Mathematical Soc.
Author: Al Cuoco
Category : Mathematics
Languages : en
Pages : 239

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Book Description

Mathematical Connections

Oval Track And Other Permutation Puzzles by Al Cuoco, Mathematical Connections Books available in PDF, EPUB, Mobi Format. Download Mathematical Connections books, Mathematical Connections is about some of the topics that form the foundations for high school mathematics. It focuses on a closely knit collection of ideas that are at the intersection of algebra, arithmetic, combinatorics, geometry, and calculus. Most of the ideas are classical: methods for fitting polynomial functions to data, for summing powers of integers, for visualizing the iterates of a function defined on the complex plane, or for obtaining identities among entries in Pascal's triangle. Some of these ideas, previously considered quite advanced, have become tractable because of advances in computational technology. Others are just beautiful classical mathematics--topics that have fallen out of fashion and that deserve to be resurrected. While the book will appeal to many audiences, one of the primary audiences is high school teachers, both practicing and prospective. It can be used as a text for undergraduate or professional courses, and the design lends itself to self study. Of course, good mathematics for teaching is also good for many other uses, so readers of all persuasions can enjoy exploring some of the beautiful ideas presented in the pages of this book.


[Full Book] Math Through The Ages

Math Through the Ages PDF
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Publisher: MAA
Author: William P. Berlinghoff
Category : Mathematics
Languages : en
Pages : 273

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Math Through The Ages

Oval Track And Other Permutation Puzzles by William P. Berlinghoff, Math Through The Ages Books available in PDF, EPUB, Mobi Format. Download Math Through The Ages books, An informal and accessible overview of the history of mathematics.


[Full Book] Math Made Visual

Math Made Visual PDF
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Publisher: MAA
Author: Roger Nelsen
Category : Mathematics
Languages : en
Pages : 173

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Book Description

Math Made Visual

Oval Track And Other Permutation Puzzles by Roger Nelsen, Math Made Visual Books available in PDF, EPUB, Mobi Format. Download Math Made Visual books, A book describing how visualization techniques can be used in the teaching of mathematics.


[Full Book] Differential Geometry And Its Applications

Differential Geometry and Its Applications PDF
Book Details
Publisher: MAA
Author: John Oprea
Category : Mathematics
Languages : en
Pages : 469

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Book Description

Differential Geometry And Its Applications

Oval Track And Other Permutation Puzzles by John Oprea, Differential Geometry And Its Applications Books available in PDF, EPUB, Mobi Format. Download Differential Geometry And Its Applications books, Differential geometry has a long, wonderful history it has found relevance in areas ranging from machinery design of the classification of four-manifolds to the creation of theories of nature's fundamental forces to the study of DNA. This book studies the differential geometry of surfaces with the goal of helping students make the transition from the compartmentalized courses in a standard university curriculum to a type of mathematics that is a unified whole, it mixes geometry, calculus, linear algebra, differential equations, complex variables, the calculus of variations, and notions from the sciences. Differential geometry is not just for mathematics majors, it is also for students in engineering and the sciences. Into the mix of these ideas comes the opportunity to visualize concepts through the use of computer algebra systems such as Maple. The book emphasizes that this visualization goes hand-in-hand with the understanding of the mathematics behind the computer construction. Students will not only “see” geodesics on surfaces, but they will also see the effect that an abstract result such as the Clairaut relation can have on geodesics. Furthermore, the book shows how the equations of motion of particles constrained to surfaces are actually types of geodesics. Students will also see how particles move under constraints. The book is rich in results and exercises that form a continuous spectrum, from those that depend on calculation to proofs that are quite abstract.


[Full Book] Resources For The Study Of Real Analysis

Resources for the Study of Real Analysis PDF
Book Details
Publisher: Cambridge University Press
Author: Robert L. Brabenec
Category : Mathematics
Languages : en
Pages : 231

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Book Description

Resources For The Study Of Real Analysis

Oval Track And Other Permutation Puzzles by Robert L. Brabenec, Resources For The Study Of Real Analysis Books available in PDF, EPUB, Mobi Format. Download Resources For The Study Of Real Analysis books, A collection of materials gathered by the author while teaching real analysis over a period of years.


[Full Book] Fourier Series

Fourier Series PDF
Book Details
Publisher: MAA
Author: Rajendra Bhatia
Category : Mathematics
Languages : en
Pages : 120

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Book Description

Fourier Series

Oval Track And Other Permutation Puzzles by Rajendra Bhatia, Fourier Series Books available in PDF, EPUB, Mobi Format. Download Fourier Series books, This is a concise introduction to Fourier series covering history, major themes, theorems, examples, and applications. It can be used for self study, or to supplement undergraduate courses on mathematical analysis. Beginning with a brief summary of the rich history of the subject over three centuries, the reader will appreciate how a mathematical theory develops in stages from a practical problem (such as conduction of heat) to an abstract theory dealing with concepts such as sets, functions, infinity, and convergence. The abstract theory then provides unforeseen applications in diverse areas. Exercises of varying difficulty are included throughout to test understanding. A broad range of applications are also covered, and directions for further reading and research are provided, along with a chapter that provides material at a more advanced level suitable for graduate students.


[Full Book] Real Infinite Series

Real Infinite Series PDF
Book Details
Publisher: American Mathematical Soc.
Author: Daniel D. Bonar
Category :
Languages : en
Pages : 261

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Book Description

Real Infinite Series

Oval Track And Other Permutation Puzzles by Daniel D. Bonar, Real Infinite Series Books available in PDF, EPUB, Mobi Format. Download Real Infinite Series books, This is a widely accessible introductory treatment of infinite series of real numbers, bringing the reader from basic definitions and tests to advanced results. An up-to-date presentation is given, making infinite series accessible, interesting, and useful to a wide audience, including students, teachers, and researchers. Included are elementary and advanced tests for convergence or divergence, the harmonic series, the alternating harmonic series, and closely related results. One chapter offers 107 concise, crisp, surprising results about infinite series. Another gives problems on infinite series, and solutions, which have appeared on the annual William Lowell Putnam Mathematical Competition. The lighter side of infinite series is treated in the concluding chapter where three puzzles, eighteen visuals, and several fallacious proofs are made available. Three appendices provide a listing of true or false statements, answers to why the harmonic series is so named, and an extensive list of published works on infinite series.


[Full Book] Arithmetical Wonderland

Arithmetical Wonderland PDF
Book Details
Publisher: American Mathematical Soc.
Author: Andy Liu
Category : Mathematics
Languages : en
Pages : 223

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Book Description

Arithmetical Wonderland

Oval Track And Other Permutation Puzzles by Andy Liu, Arithmetical Wonderland Books available in PDF, EPUB, Mobi Format. Download Arithmetical Wonderland books, Arithmetical Wonderland is intended as an unorthodox mathematics textbook for students in elementary education, in a contents course offered by a mathematics department. The scope is deliberately restricted to cover only arithmetic, even though geometric elements are introduced whenever warranted. For example, what the Euclidean Algorithm for finding the greatest common divisors of two numbers has to do with Euclid is showcased. Many students find mathematics somewhat daunting. It is the [Author];'s belief that much of that is caused not by the subject itself, but by the language of mathematics. In this book, much of the discussion is in dialogues between Alice, of Wonderland fame, and the twins Tweedledum and Tweedledee who hailed from Through the Looking Glass. The boys are learning High Arithmetic or Elementary Number Theory from Alice, and the reader is carried along in this academic exploration. Thus many formal proofs are converted to soothing everyday language. Nevertheless, the book has considerable depth. It examines many arcane corners of the subject, and raises rather unorthodox questions. For instance, Alice tells the twins that six divided by three is two only because of an implicit assumption that division is supposed to be fair, whereas fairness does not come into addition, subtraction or multiplication. Some topics often not covered are introduced rather early, such as the concepts of divisibility and congruence.


[Full Book] 101 Careers In Mathematics

101 Careers in Mathematics PDF
Book Details
Publisher: American Mathematical Soc.
Author: Andrew Sterrett
Category : Mathematics
Languages : en
Pages : 335

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Book Description

101 Careers In Mathematics

Oval Track And Other Permutation Puzzles by Andrew Sterrett, 101 Careers In Mathematics Books available in PDF, EPUB, Mobi Format. Download 101 Careers In Mathematics books, This third edition of the immensely popular 101 Careers in Mathematics contains updates on the career paths of individuals profiled in the first and second editions, along with many new profiles. No career counselor should be without this valuable resource. The [Author];s of the essays in this volume describe a wide variety of careers for which a background in the mathematical sciences is useful. Each of the jobs presented shows real people in real jobs. Their individual histories demonstrate how the study of mathematics was useful in landing well-paying jobs in predictable places such as IBM, AT & T, and American Airlines, and in surprising places such as FedEx Corporation, L.L. Bean, and Perdue Farms, Inc. You will also learn about job opportunities in the Federal Government as well as exciting careers in the arts, sculpture, music, and television. There are really no limits to what you can do if you are well prepared in mathematics. The degrees earned by the [Author];s profiled here range from bachelor's to master's to PhD in approximately equal numbers. Most of the writers use the mathematical sciences on a daily basis in their work. Others rely on the general problem-solving skills acquired in mathematics as they deal with complex issues.


[Full Book] Visual Group Theory

Visual Group Theory PDF
Book Details
Publisher: American Mathematical Soc.
Author: Nathan Carter
Category : Mathematics
Languages : en
Pages : 295

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Book Description

Visual Group Theory

Oval Track And Other Permutation Puzzles by Nathan Carter, Visual Group Theory Books available in PDF, EPUB, Mobi Format. Download Visual Group Theory books, Group theory is the branch of mathematics that studies symmetry, found in crystals, art, architecture, music and many other contexts, but its beauty is lost on students when it is taught in a technical style that is difficult to understand. Visual Group Theory assumes only a high school mathematics background and covers a typical undergraduate course in group theory from a thoroughly visual perspective. The more than 300 illustrations in Visual Group Theory bring groups, subgroups, homomorphisms, products, and quotients into clear view. Every topic and theorem is accompanied with a visual demonstration of its meaning and import, from the basics of groups and subgroups through advanced structural concepts such as semidirect products and Sylow theory.


[Full Book] Which Numbers Are Real

Which Numbers Are Real  PDF
Book Details
Publisher: American Mathematical Soc.
Author: Michael Henle
Category : Mathematics
Languages : en
Pages : 219

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Book Description

Which Numbers Are Real

Oval Track And Other Permutation Puzzles by Michael Henle, Which Numbers Are Real Books available in PDF, EPUB, Mobi Format. Download Which Numbers Are Real books, Everyone knows the real numbers, those fundamental quantities that make possible all of mathematics from high school algebra and Euclidean geometry through the Calculus and beyond; and also serve as the basis for measurement in science, industry, and ordinary life. This book surveys alternative real number systems: systems that generalize and extend the real numbers yet stay close to these properties that make the reals central to mathematics. Alternative real numbers include many different kinds of numbers, for example multidimensional numbers (the complex numbers, the quaternions and others), infinitely small and infinitely large numbers (the hyperreal numbers and the surreal numbers), and numbers that represent positions in games (the surreal numbers). Each system has a well-developed theory, including applications to other areas of mathematics and science, such as physics, the theory of games, multi-dimensional geometry, and formal logic. They are all active areas of current mathematical research and each has unique features, in particular, characteristic methods of proof and implications for the philosophy of mathematics, both highlighted in this book. Alternative real number systems illuminate the central, unifying role of the real numbers and include some exciting and eccentric parts of mathematics. Which Numbers Are Real? Will be of interest to anyone with an interest in numbers, but specifically to upper-level undergraduates, graduate students, and professional mathematicians, particularly college mathematics teachers.


[Full Book] The Heart Of Calculus

The Heart of Calculus PDF
Book Details
Publisher: American Mathematical Soc.
Author: Philip M. Anselone
Category : Mathematics
Languages : en
Pages : 228

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Book Description

The Heart Of Calculus

Oval Track And Other Permutation Puzzles by Philip M. Anselone, The Heart Of Calculus Books available in PDF, EPUB, Mobi Format. Download The Heart Of Calculus books, This book contains enrichment material for courses in first and second year calculus, differential equations, modeling, and introductory real analysis. It targets talented students who seek a deeper understanding of calculus and its applications. The book can be used in honors courses, undergraduate seminars, independent study, capstone courses taking a fresh look at calculus, and summer enrichment programs. The book develops topics from novel and/or unifying perspectives. Hence, it is also a valuable resource for graduate teaching assistants developing their academic and pedagogical skills and for seasoned veterans who appreciate fresh perspectives. The explorations, problems, and projects in the book impart a deeper understanding of and facility with the mathematical reasoning that lies at the heart of calculus and conveys something of its beauty and depth. A high level of rigor is maintained. However, with few exceptions, proofs depend only on tools from calculus and earlier. Analytical arguments are carefully structured to avoid epsilons and deltas. Geometric and/or physical reasoning motivates challenging analytical discussions. Consequently, the presentation is friendly and accessible to students at various levels of mathematical maturity. Logical reasoning skills at the level of proof in Euclidean geometry suffice for a productive use of the book.


[Full Book] Explorations In Complex Analysis

Explorations in Complex Analysis PDF
Book Details
Publisher: American Mathematical Soc.
Author: Michael A. Brilleslyper
Category : Mathematics
Languages : en
Pages : 373

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Book Description

Explorations In Complex Analysis

Oval Track And Other Permutation Puzzles by Michael A. Brilleslyper, Explorations In Complex Analysis Books available in PDF, EPUB, Mobi Format. Download Explorations In Complex Analysis books, Research topics in the book include complex dynamics, minimal surfaces, fluid flows, harmonic, conformal, and polygonal mappings, and discrete complex analysis via circle packing. The nature of this book is different from many mathematics texts: the focus is on student-driven and technology-enhanced investigation. Interlaced in the reading for each chapter are examples, exercises, explorations, and projects, nearly all linked explicitly with computer applets for visualization and hands-on manipulation.


[Full Book] Ordinary Differential Equations

Ordinary Differential Equations PDF
Book Details
Publisher: American Mathematical Soc.
Author: David A. Sanchez
Category : Mathematics
Languages : en
Pages : 132

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Book Description

Ordinary Differential Equations

Oval Track And Other Permutation Puzzles by David A. Sanchez, Ordinary Differential Equations Books available in PDF, EPUB, Mobi Format. Download Ordinary Differential Equations books, For the instructor or student confronting an introductory course in ordinary differential equations there is a need for a brief guide to the key concepts in the subject. Important topics like stability, resonance, existence of periodic solutions, and the essential role of continuation of solutions are often engulfed in a sea of exercises in integration, linear algebra theory, computer programming and an overdose of series expansions. This book is intended as that guide. It is more conceptual than definitive and more light-hearted than pedagogic. It covers key topics and theoretical underpinnings that are necessary for the study of rich topics like nonlinear equations or stability theory. The [Author]; has included a great many illuminating examples and discussions that uncover the conceptual heart of the matter.