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Published by Brand: The Mathematical Association of America: Oxton House Publishing, 2004
ISBN 10: 0883857367ISBN 13: 9780883857366
Seller: Ergodebooks, Houston, TX, U.S.A.
Book
Hardcover. Condition: Good. Where did maths come from? Who thought up all those algebra symbols, and why? What's the story behind negative numbers? the metric system? quadratic equations? sine and cosine? The 25 independent sketches in Math through the Ages answer these questions and many others in an informal, easygoing style that's accessible to teachers, students, and anyone who is curious about the history of mathematical ideas. Each sketch contains Questions and Projects to help you learn more about its topic and to see how its main ideas fit into the bigger picture of history. The 25 short stories are preceded by a 56-page bird's-eye overview of the entire panorama of mathematical history, a whirlwind tour of the most important people, events, and trends that shaped the mathematics we know today. Reading suggestions after each sketch provide starting points for readers who want to pursue a topic further.
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Published by Brand: Mathematical Assn of Amer, 1995
ISBN 10: 0883850958ISBN 13: 9780883850954
Seller: Ergodebooks, Houston, TX, U.S.A.
Book
Softcover. Condition: Good. This book will greatly help readers introduce cooperative learning in their own undergraduate mathematics classes. Instructors who have tried some group activites as well as those who have not been involved at all with cooperative learning will find here detailed, useful discussions on every aspect of cooperative learning. The book reflects the extensive experience of the authors as well as that of over forty colleagues who responded to a survey on cooperative learning. Throughout the book cooperative learning is related to educational research results, which are clearly explained in one chapter.Cooperative learning, as defined by the authors, involves students working in heterogeneous groups, usually assigned for the duration of the course. Students become responsible for each other's learning since the cooperative spirit permeates every facet of the course: homework, laboratory, assignments, classes, and even some tests.The book includes directions for organizing students into groups as well as complete descriptions of what these groups do once they are formed. Examples of group problems and group test questions for various mathematics courses ilistrate the work that can be expected of the students in cooperative learning groups, the authors present methods for monitoring groups and dealing with problems that may arise in a cooperative learning environment. They also address the question of student assessment.In addition to descriptions of their own methods, the authors include a chapter that summarizes forms of cooperative learning used by others. An extensive and annotated bibliography is also included.This book is a valuable resource for any instructor who uses cooperative learning groups in an undergraduate mathematics class.
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Published by Brand: Mathematical Assn of Amer, 2023
ISBN 10: 0883850842ISBN 13: 9780883850848
Seller: Ergodebooks, Houston, TX, U.S.A.
Book
Softcover. Condition: Good. Calculus Problems for a New CenturyEmphasizes conceptual understanding over rote drill. The problems are organized in groups that parallel traditional grouping of ideas, making it possible to use them as supplements to most texts. Most of the problems can be done without the use of a calculator or computer.
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Published by Brand: Mathematical Association of America, 1993
ISBN 10: 088385600XISBN 13: 9780883856000
Seller: Ergodebooks, Houston, TX, U.S.A.
Book
Softcover. Condition: Good. This is a mathematics book, not a programming book, although it explains Pascal to beginners. It is aimed at high school students and undergraduates with a strong interest in mathematics, and teachers looking for fresh ideas. It is full of diverse mathematical ideas requiring little background. It includes a large number of challenging problems, many of which illustrate how numerical computation leads to conjectures which can then be proved by mathematical reasoning. It is assumed that readers have a PC at their disposal.
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Published by Brand: Mathematical Assn of Amer, 1983
ISBN 10: 0883853108ISBN 13: 9780883853108
Seller: Ergodebooks, Houston, TX, U.S.A.
Book
Softcover. Condition: Good. 7th Printing. Presents a series of lectures on the history of mathematics covering such topics as the Pythagorean Theorem, Archimedes, and Fibonacci.
Published by Brand: The Mathematical Association of America, 1999
ISBN 10: 088385712XISBN 13: 9780883857120
Seller: Ergodebooks, Houston, TX, U.S.A.
Book
Softcover. Condition: Good. 1. The emphasis of this book lies on the teaching of mathematical modeling rather than simply presenting models. To this end the book starts with the simple discrete exponential growth model as a building block, and successively refines it. This involves adding variable growth rates, multiple variables, fitting growth rates to data, including random elements, testing exactness of fit, using computer simulations and moving to a continuous setting. No advanced knowledge is assumed of the reader, making this book suitable for elementary modeling courses. The book can also be used to supplement courses in linear algebra, differential equations, probability theory and statistics.
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Published by Brand: Mathematical Assn of Amer, 1991
ISBN 10: 0883855038ISBN 13: 9780883855034
Seller: Ergodebooks, Houston, TX, U.S.A.
Book
Softcover. Condition: Good. Changing the way students learn calculus at New Mexico State University. In the Spring of 1988, Marcus Cohen, Edward D. Gaughan, Arthur Knoebel, Douglas S. Kurtz, and David Penegelley began work on a student project approach to calculus. For the next two years, most of their waking hours (and some of their dreams) would be devoted to writing projects for their students and discovering how to make the use of projects in calculus classes not only successful, but practical as well. A grant from the National Science Foundation made it possible for this experiment to go forward on a large scale. The enthusiasm of the original group of five faculty was contagious, and soon other members of the department were also writing and using projects in their calculus classes. At the present time, about 80% of the calculus students at New Mexico State University are doing projects in their Calculus courses. Teachers can use their methods in teaching their own calculus courses. Student Research Projects in Calculus provides teachers with over 100 projects ready to assign to students in single and multivariable calculus. The authors have designed these projects with one goal in mind: to get students to think for themselves. Each project is a multistep, take-home problem, allowing students to work both individually and in groups. The projects resemble mini-research problems. Most of them require creative thought, and all of them engage the student's analytic and intuitive faculties. The projects often build from a specific example to the general case, and weave together ideas from many parts of the calculus. Project statements are clearly stated and contain a minimum of mathematical symbols. Students must draw their own diagrams, decide for themselves what the problem is about, and what tools from the calculus they will use to solve it. This approach elicits from students an amazing level of sincere questioning, energetic research, dogged persistence, and conscientious communication. Each project has accompanying notes to the instructor, reporting students' experiences. The notes contain helpful information on prerequisites, list the main topics the project explores, and suggests helpful hints. The authors have also provided several introductory chapters to help intructors use projects successfully in their classes and begin to create their own.
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Published by Brand: The Mathematical Association of America, 1999
ISBN 10: 088385709XISBN 13: 9780883857090
Seller: Ergodebooks, Houston, TX, U.S.A.
Book
Softcover. Condition: Good. This book has a dual objective: first to introduce the reader to some of the most important and widespread environmental issues of the day; and second to illustrate the vital role played by mathematical models in investigating these issues. The subjects covered are ground water contamination, air pollution, and hazardous materials emergencies. These issues are presented in their full real-world context and are used to develop important classical mathematical themes. The emphasis throughout is on fundamental principles and concepts, not on achieving technical mastery of state-of-the-art models.
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Published by Brand: The Mathematical Association of America, 1998
ISBN 10: 0883856220ISBN 13: 9780883856222
Seller: Ergodebooks, Houston, TX, U.S.A.
Book
Softcover. Condition: Good. Most people, acquainted with cryptology either through sensational cloak and dagger stories or through newspaper cryptograms, are not aware that many aspects of this art may be treated systematically, by means of some elementary mathematical concepts and methods. In this introduction, Professor Sinkov explains some of the fundamental techniques at the basis of cryptanalytic endeavor from which much more sophisticated techniques have evolved, especially since the advent of computers. The mathematical topics relevant in these discussions include modular arithmetic, a little number theory, some linear algebra of two dimensions with matrices, some combinatorics, and a little statistics. Also included are programs in BASIC developed by Paul Irwin for use in his course based on this book.
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Published by Brand: The Mathematical Association of America, 2000
ISBN 10: 0883855291ISBN 13: 9780883855294
Seller: Ergodebooks, Houston, TX, U.S.A.
Book First Edition
Softcover. Condition: Good. First Edition. Through hard experience mathematicians have learned to subject even the most 'evident' assertions to rigorous scrutiny, as intuition and facile reasoning can often be misleading. However, errors can slip past the most watchful eye, they are often subtle and difficult to detect; but when found they can teach us a lot and can present a real challenge to straighten out. This book collects together a mass of such errors, drawn from the work of students, textbooks, and the media, as well as from professional mathematicians themselves. Each of these items is carefully analysed and the source of the error is exposed. All serious students of mathematics will find this book both enlightening and entertaining.
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Published by Brand: The Mathematical Association of America, 2004
ISBN 10: 0883855402ISBN 13: 9780883855409
Seller: Ergodebooks, Houston, TX, U.S.A.
Book
Softcover. Condition: Good. 777 Mathematical Conversation Starters shows that there are few degrees of separation between mathematics and topics that provoke interesting conversations. The topics presented in this unique book are accessible to mathematicians and non-mathematicians alike. They include thought-provoking conversation starters such as: the value of fame; why language matters; the anatomy of thought; how we know what we know; how the Pythagorean theorem (with very little physics) shows that Einstein was correct about time dilation and distance contraction; and how mathematics produces intuition-defying examples. The format is unique, too: Topics (conversation starters) are numbered, extensively cross-referenced, and divided into small digestible units. Published for the first time in 777 Mathematical Conversation Starters are original quotes from Joshua Lederberg, Ron Graham, Jay Leno, Martin Gardner, and many others.
Published by Brand: The Mathematical Association of America, 1996
ISBN 10: 0883856379ISBN 13: 9780883856376
Seller: Ergodebooks, Houston, TX, U.S.A.
Book First Edition
Softcover. Condition: Good. First Edition. This book pays careful attention to applications of game theory in a wide variety of disciplines. The applications are treated in considerable depth. The book assumes only high school algebra, yet gently builds to mathematical thinking of some sophistication. Game Theory and Strategy might serve as an introduction to both axiomatic mathematical thinking and the fundamental process of mathematical modelling. It gives insight into both the nature of pure mathematics, and the way in which mathematics can be applied to real problems.
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Published by Brand: The Mathematical Association of America, 2004
ISBN 10: 0883855429ISBN 13: 9780883855423
Seller: Ergodebooks, Houston, TX, U.S.A.
Book
Hardcover. Condition: Good. For many years, famed mathematics historian and master teacher Howard Eves collected stories and anecdotes about mathematics and mathematicians, gathering them together in six Mathematical Circles books. Thousands of teachers of mathematics have read these stories and anecdotes for their own enjoyment and used them in the classroom - to add entertainment, to introduce a human element, to inspire the student, and to forge some links of cultural history. All six of the Mathematical Circles books have been reissued as a three-volume edition. This three-volume set is a must for all who enjoy the mathematical enterprise, especially those who appreciate the human and cultural aspects of mathematics.
Published by Brand: The Mathematical Association of America, 2006
ISBN 10: 0883851784ISBN 13: 9780883851784
Seller: Ergodebooks, Houston, TX, U.S.A.
Book
Softcover. Condition: Good. 1. To date, much of the literature prepared on the topic of integrating mathematics history into undergraduate teaching contains, predominantly, ideas from the 18th century and earlier. This volume focuses on nineteenth- and twentieth-century mathematics, building on the earlier efforts but emphasizing recent history in the teaching of mathematics, computer science, and related disciplines. From Calculus to Computers is a resource for undergraduate teachers that provides ideas and materials for immediate adoption in the classroom and proven examples to motivate innovation by the reader. Contributions to this volume are from historians of mathematics and college mathematics instructors with years of experience and expertise in these subjects. Examples of topics covered are probability in undergraduate statistics courses, logic and programming for computer science, undergraduate geometry to include non-Euclidean geometries, numerical analysis, and abstract algebra.
Published by Brand: The Mathematical Association of America, 1998
ISBN 10: 0883857081ISBN 13: 9780883857083
Seller: Ergodebooks, Houston, TX, U.S.A.
Book
Softcover. Condition: Good. The purpose of this book is to prepare the reader for coping with abstract mathematics. The intended audience is both students taking a first course in abstract algebra who feel the need to strengthen their background, and those from a more applied background who need some experience in dealing with abstract ideas. Learning any area of abstract mathematics requires not only ability to write formally but also to think intuitively about what is going on and to describe that process clearly and cogently in ordinary English. Ash tries to aid intuition by keeping proofs short and as informal as possible, and using concrete examples as illustration. Thus it is an ideal textbook for an audience with limited experience in formalism and abstraction. A number of expository innovations are included, for example, an informal development of set theory which teaches students all the basic results for algebra in one chapter.
Published by Brand: The Mathematical Association of America, 1996
ISBN 10: 0883853159ISBN 13: 9780883853153
Seller: Ergodebooks, Houston, TX, U.S.A.
Book
Softcover. Condition: Good. 2nd prt. Victor Klee and Stan Wagon discuss some of the unsolved problems in number theory and geometry, many of which can be understood by readers with a very modest mathematical background. The presentation is organized around 24 central problems, many of which are accompanied by other, related problems. The authors place each problem in its historical and mathematical context, and the discussion is at the level of undergraduate mathematics. Each problem section is presented in two parts. The first gives an elementary overview discussing the history and both the solved and unsolved variants of the problem. The second part contains more details, including a few proofs of related results, a wider and deeper survey of what is known about the problem and its relatives, and a large collection of references. Both parts contain exercises, with solutions. The book is aimed at both teachers and students of mathematics who want to know more about famous unsolved problems.
Published by Brand: The Mathematical Association of America, 1997
ISBN 10: 0883855267ISBN 13: 9780883855263
Seller: Ergodebooks, Houston, TX, U.S.A.
Book
Softcover. Condition: Good. This book tells the story of Diophantine analysis, a subject that, owing to its thematic proximity to algebraic geometry, became fashionable in the last half century and has remained so ever since. This new treatment of the methods of Diophantus - a person whose very existence has long been doubted by most historians of mathematics - will be accessible to readers who have taken some university mathematics. It includes the elementary facts of algebraic geometry indispensable for its understanding. The heart of the book is a fascinating account of the development of Diophantine methods during the Renaissance and in the work of Fermat. This account is continued to our own day and ends with an afterword by Joseph Silverman who notes the most recent developments including the proof of Fermat's Last Theorem.
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Published by Brand: Mathematical Assn of Amer, 2024
ISBN 10: 0883850893ISBN 13: 9780883850893
Seller: Ergodebooks, Houston, TX, U.S.A.
Book
Softcover. Condition: Good. The mathematics presented in this volume goes beyond the facts, formulas and algorithms that most students associate with mathematics to a presentation of mathematics as an intellectual discipline with human perspective and a history that matters. Humanistic mathematics challenges dogmatic teaching styles that expect students to parrot the lecturer. It demands creativity from both the teacher and student.Humanistic mathematics carries with it an awareness of and a sensitivity to those things mathematics shares with the other humanities. Humanistic dimensions of mathematics include:-An appreciation of the role of intuition in understanding and creating concepts that appear in their finished version, to be the result of a "merelytechnical" process.-An understanding of the value judgements in the growth of any discipline. Logic alone never completely accounts for what is investigated, or why it is investigated.The movement, which began as the personal vision of a few, has now become a major part of mathematical culture. What was viewed with skepticism is now accepted and expected. Humanistic mathematics is a recent rediscovery of an idea that goes back to Plato, D' Alembert, Wilder, Bronowski, Cassirer.It has provided a vocabulary for previously unarticulated concepts and approaches.There are no answers to the question, "what is important in mathematics?" We can only ask what is important in mathematics to human beings with given abilities and limitations at a given point in their mathematical development.
Published by Brand: The Mathematical Association of America, 2023
ISBN 10: 0883851008ISBN 13: 9780883851005
Seller: Ergodebooks, Houston, TX, U.S.A.
Book
Hardcover. Condition: Good. Book by.
Published by Brand: The Mathematical Association of America, 1997
ISBN 10: 0883855194ISBN 13: 9780883855195
Seller: Ergodebooks, Houston, TX, U.S.A.
Book
Softcover. Condition: Good. This book contains 500 problems that range over a wide spectrum of mathematics and of levels of difficulty. Some are simple mathematical puzzlers while others are serious problems at the Olympiad level. Students of all levels of interest and ability will be entertained by the book. For many problems, more than one solution is supplied so that students can compare the elegance and efficiency of different mathematical approaches. A special mathematical toolchest summarizes the results and techniques needed by competition-level students. Teachers will find the book useful, both for encouraging their students and for their own pleasure. Some of the problems can be used to provide a little spice in the regular curriculum by demonstrating the power of very basic techniques. The problems were first published as a series of problem booklets almost twenty years ago. They have stood the test of time and the demand for them has been steady. Their publication in book form is long overdue.
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Published by Brand: The Mathematical Association of America, 2005
ISBN 10: 0883857375ISBN 13: 9780883857373
Seller: Ergodebooks, Houston, TX, U.S.A.
Book
Hardcover. Condition: Good. This book is a collection of materials gathered by the author while teaching real analysis over a period of years. It is intended for use as a supplement to a traditional analysis textbook, or to provide material for seminars or independent study in analysis and its historical development. The book includes historical and biographical information, a wide range of problem types, selected readings on a variety of topics, and many references for additional study. Since all these materials are collected into a single book, teachers and students can easily choose items most suitable for their purpose. Teachers may use the book as a supplement to their courses, while students may read much of the book on their own. No other book has been written specifically as a supplement for a real analysis course.
Published by Brand: The Mathematical Association of America, 1998
ISBN 10: 0883856263ISBN 13: 9780883856260
Seller: Ergodebooks, Houston, TX, U.S.A.
Book
Softcover. Condition: Good. 'Mathematics, taught and learned appropriately, improves the mind and implants good habits of thought.' This tenet underlies all of Professor Pólya's works on teaching and problem-solving. This book captures some of Pólya's excitement and vision. In it he provides enlightenment for all those who have ever wondered how the laws of nature were worked out mathematically. The distinctive feature of the present book is the stress on the history of certain elementary chapters of science; these can be a source of enjoyment and deeper understanding of mathematics even for beginners who have little, or perhaps no, knowledge of physics.
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Published by Brand: The Mathematical Association of America, 1996
ISBN 10: 0883853167ISBN 13: 9780883853160
Seller: Ergodebooks, Houston, TX, U.S.A.
Book
Softcover. Condition: Good. If you like problem solving, this book belongs on your shelf. Some knowledge of linear or abstract algebra is needed for a few of the problems, but most require nothing beyond calculus, and many should be accessible to high school students. The book centers on solutions which are elegant, instructive, and clear. Often several solutions to the same problem are presented. There are many hints and comments to help you and to put solutions in a broader perspective. Indices are provided which may be especially helpful to problem solving classes and to teams of individuals preparing for contests such as the Putnam exam.
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Published by Brand: The Mathematical Association of America, 1996
ISBN 10: 0883855100ISBN 13: 9780883855102
Seller: Ergodebooks, Houston, TX, U.S.A.
Book
Softcover. Condition: Good. 2. The purpose of this book is to demonstrate that complex numbers and geometry can be blended together beautifully. This results in easy proofs and natural generalizations of many theorems in plane geometry, such as the Napoleon theorem, the Ptolemy-Euler theorem, the Simson theorem, and the Morley theorem. The book is self-contained - no background in complex numbers is assumed - and can be covered at a leisurely pace in a one-semester course. Many of the chapters can be read independently. Over 100 exercises are included. The book would be suitable as a text for a geometry course, or for a problem solving seminar, or as enrichment for the student who wants to know more.
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Published by Brand: The Mathematical Association of America, 1999
ISBN 10: 0883857189ISBN 13: 9780883857182
Seller: Books of the Smoky Mountains, Del Rio, TN, U.S.A.
Book
Condition: very good. Gently used book with ongoing seller support until you're fully satisfied with your purchase.
Published by Brand: The Mathematical Association of America, 2000
ISBN 10: 0883857197ISBN 13: 9780883857199
Seller: Books of the Smoky Mountains, Del Rio, TN, U.S.A.
Book
Condition: very good. Gently used book with ongoing seller support until you're fully satisfied with your purchase.
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Published by Brand: Mathematical Assn of Amer, 2003
ISBN 10: 0883857286ISBN 13: 9780883857281
Seller: Books of the Smoky Mountains, Del Rio, TN, U.S.A.
Book
Condition: very good. Gently used book with ongoing seller support until you're fully satisfied with your purchase.
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Published by Brand: Mathematical Assn of Amer, 1961
ISBN 10: 0883856050ISBN 13: 9780883856055
Seller: Ergodebooks, Houston, TX, U.S.A.
Book
Softcover. Condition: Good. 2nd. A great many students have participated annually in the Annual High School Mathematics Examination (AHSME) sponsored by the Mathematical Association of America (MAA) and four other national organizations in the mathematical sciences. In 1960, 150,000 students participated from about 5,200 high schools. In 1980, 416,000 students participated from over 6,800 high schools. Since 1950, when the first of these examinations was given, American high school students have tested their skills and ingenuity on such problem as: The rails on a railroad are 30 feet long. As the train passes over the point where the rails are joined, there is an audible click. The speed of the train in miles per hour is approximately the number of clicks heard in how many seconds? And many others, based on the high school curriculum in mathematics.
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Published by Brand: The Mathematical Association of America, 2003
ISBN 10: 0883857278ISBN 13: 9780883857274
Seller: Books of the Smoky Mountains, Del Rio, TN, U.S.A.
Book
Condition: very good. Gently used book with ongoing seller support until you're fully satisfied with your purchase.
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Published by Brand: The Mathematical Association of America, 1996
ISBN 10: 0883857014ISBN 13: 9780883857014
Seller: Ergodebooks, Houston, TX, U.S.A.
Book
Softcover. Condition: Good. This book is an undergraduate introduction to real analysis. Teachers can use it as a textbook for an innovative course, or as a resource for a traditional course. Students who have been through a traditional course, but do not understand what real analysis is about and why it was created, will find answers to many of their questions in this book. Although this is not a history of analysis, the author returns to the roots of the subject to make it more comprehensible. The book begins with Fourier's introduction of trigonometric series and the problems they created for the mathematicians of the early nineteenth century. Cauchy's attempts to establish a firm foundation for calculus follow, and the author considers his failures and his successes. The book culminates with Dirichlet's proof of the validity of the Fourier series expansion and explores some of the counterintuitive results Riemann and Weierstrass were led to as a result of Dirichlet's proof. Mathematica commands and programs are included in the exercises. However, the reader may use any mathematical tool that has graphing capabilities, including the graphing calculator.
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