Download or read book Portal Through Mathematics written by Oleg Aleksandrovič Ivanov and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Portal through Mathematics Journey to Advanced Thinking written by O. A. Ivanov and published by American Mathematical Soc.. This book was released on 2019-10-09 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Portal through Mathematics is a collection of puzzles and problems mostly on topics relating to secondary mathematics. The problems and topics are fresh and interesting and frequently surprising. One example: the puzzle that asks how much length must be added to a belt around the Earth's equator to raise it one foot has probably achieved old chestnut status. Ivanov, after explaining the surprising answer to this question, goes a step further and asks, if you grabbed that too long belt at some point and raised it as high as possible, how high would that be? The answer to that is more surprising than the classic puzzle's answer. The book is organized into 29 themes, each a topic from algebra, geometry or calculus and each launched from an opening puzzle or problem. There are excursions into number theory, solid geometry, physics and combinatorics. Always there is an emphasis on surprise and delight. And every theme begins at a level approachable with minimal background requirements. With well over 250 puzzles and problems, there is something here sure to appeal to everyone. Portal through Mathematics will be useful for prospective secondary teachers of mathematics and may be used (as a supplementary resource) in university courses in algebra, geometry, calculus, and discrete mathematics. It can also be used for professional development for teachers looking for inspiration. However, the intended audience is much broader. Every fan of mathematics will find enjoyment in it.
Download or read book Exercises in Mathematical Style written by John McCleary and published by American Mathematical Soc.. This book was released on 2017 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: What does style mean in mathematics? Style is both how one does something and how one communicates what was done. In this book, the author investigates the worlds of the well-known numbers, the binomial coefficients. The author follows the example of Raymond Queneau's Exercises in Style. Offering the reader 99 stories in various styles. The book celebrates the joy of mathematics and the joy of writing mathematics by exploring the rich properties of this familiar collection of numbers. For any one interested in mathematics, from high school students on up.
Download or read book Invitation to Number Theory Second Edition written by Oystein Ore and published by American Mathematical Soc.. This book was released on 2017-12-29 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: Number theory is the branch of mathematics concerned with the counting numbers, 1, 2, 3, … and their multiples and factors. Of particular importance are odd and even numbers, squares and cubes, and prime numbers. But in spite of their simplicity, you will meet a multitude of topics in this book: magic squares, cryptarithms, finding the day of the week for a given date, constructing regular polygons, pythagorean triples, and many more. In this revised edition, John Watkins and Robin Wilson have updated the text to bring it in line with contemporary developments. They have added new material on Fermat's Last Theorem, the role of computers in number theory, and the use of number theory in cryptography, and have made numerous minor changes in the presentation and layout of the text and the exercises.
Download or read book Insights Into Algebra written by Robert C. Wrede and published by Booksurge Publishing. This book was released on 2008-05-27 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Insights Into Algebra" consists of three parts. Part 1 examines content. Part 2 is a fanciful space-time walk exploring the contributions and lives of the mathematicians who developed the subject. The third part is a mythical story emphasizing the mysteries of the real number system.
Download or read book Journey Through Genius written by William Dunham and published by Penguin Books. This book was released on 1991-08 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Like masterpieces of art, music, and literature, great mathematical theorems are creative milestones, works of genius destined to last forever. Now William Dunham gives them the attention they deserve. Dunham places each theorem within its historical context and explores the very human and often turbulent life of the creator — from Archimedes, the absentminded theoretician whose absorption in his work often precluded eating or bathing, to Gerolamo Cardano, the sixteenth-century mathematician whose accomplishments flourished despite a bizarre array of misadventures, to the paranoid genius of modern times, Georg Cantor. He also provides step-by-step proofs for the theorems, each easily accessible to readers with no more than a knowledge of high school mathematics. A rare combination of the historical, biographical, and mathematical, Journey Through Genius is a fascinating introduction to a neglected field of human creativity. “It is mathematics presented as a series of works of art; a fascinating lingering over individual examples of ingenuity and insight. It is mathematics by lightning flash.” —Isaac Asimov
Download or read book Structure and Insight written by Pierre M. van Hiele and published by . This book was released on 1986 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematizing written by Allen C. Rosales and published by Redleaf Press. This book was released on 2015-07-20 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proven, accessible approach to a curriculum presents a learner-centered approach to math education. Mathematizing provides both the emergent curriculum and professional development frameworks to help young children learn math throughout their everyday routine and to facilitate teachers' understanding of how to see and support children's math learning at every turn. With this book and its plentitude of case studies, illustrations, photographs, and documentation, the mathematizing adult can interpret children's interests and use that knowledge as a catalyst for creating meaningful and purposeful mathematical lessons and interactions.
Download or read book The G H Hardy Reader written by Donald J. Albers and published by Cambridge University Press. This book was released on 2016-04-11 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: G. H. Hardy ranks among the greatest twentieth-century mathematicians. This book introduces this extraordinary individual and his writing.
Download or read book Common Sense Mathematics Second Edition written by Ethan D. Bolker and published by American Mathematical Soc.. This book was released on 2021-01-21 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ten years from now, what do you want or expect your students to remember from your course? We realized that in ten years what matters will be how students approach a problem using the tools they carry with them—common sense and common knowledge—not the particular mathematics we chose for the curriculum. Using our text, students work regularly with real data in moderately complex everyday contexts, using mathematics as a tool and common sense as a guide. The focus is on problems suggested by the news of the day and topics that matter to students, like inflation, credit card debt, and loans. We use search engines, calculators, and spreadsheet programs as tools to reduce drudgery, explore patterns, and get information. Technology is an integral part of today's world—this text helps students use it thoughtfully and wisely. This second edition contains revised chapters and additional sections, updated examples and exercises, and complete rewrites of critical material based on feedback from students and teachers who have used this text. Our focus remains the same: to help students to think carefully—and critically—about numerical information in everyday contexts.
Download or read book Introduction to Graph Theory written by Richard J. Trudeau and published by Courier Corporation. This book was released on 2013-04-15 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at "the mathematically traumatized," this text offers nontechnical coverage of graph theory, with exercises. Discusses planar graphs, Euler's formula, Platonic graphs, coloring, the genus of a graph, Euler walks, Hamilton walks, more. 1976 edition.
Download or read book Big Ideas Math written by Ron Larson and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Teaching School Mathematics written by Willy Servais and published by Harmondsworth : Penguin. This book was released on 1971 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Mathematical Gallery written by Lisl Gaal and published by American Mathematical Soc.. This book was released on 2017-10-31 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt: Embark on a playful mathematical tour, aided by Lisl Gaal's illustrations of familiar scenes and whimsical triggers for the imagination. Along the way, find fruit stands arranged using polynomial multiplication, checkerboard tablecloths sewed with patterns of primes in a two-dimensional number system, and deceptive cats revealing that simple counting is not always so simple. Grasping the mathematics in this book requires only a basic background in algebra and geometry, so while the ideas can be understood and enjoyed at a variety of levels, it is recommended for ages 13–99. Touching on topics in current research, this is a book to read and revisit, gaining new insights each time.
Download or read book Popular Mechanics written by and published by . This book was released on 2000-01 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: Popular Mechanics inspires, instructs and influences readers to help them master the modern world. Whether it’s practical DIY home-improvement tips, gadgets and digital technology, information on the newest cars or the latest breakthroughs in science -- PM is the ultimate guide to our high-tech lifestyle.
Download or read book Famous Puzzles of Great Mathematicians written by Miodrag Petkovi_ and published by American Mathematical Soc.. This book was released on 2009-09-02 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: This entertaining book presents a collection of 180 famous mathematical puzzles and intriguing elementary problems that great mathematicians have posed, discussed, and/or solved. The selected problems do not require advanced mathematics, making this book accessible to a variety of readers. Mathematical recreations offer a rich playground for both amateur and professional mathematicians. Believing that creative stimuli and aesthetic considerations are closely related, great mathematicians from ancient times to the present have always taken an interest in puzzles and diversions. The goal of this book is to show that famous mathematicians have all communicated brilliant ideas, methodological approaches, and absolute genius in mathematical thoughts by using recreational mathematics as a framework. Concise biographies of many mathematicians mentioned in the text are also included. The majority of the mathematical problems presented in this book originated in number theory, graph theory, optimization, and probability. Others are based on combinatorial and chess problems, while still others are geometrical and arithmetical puzzles. This book is intended to be both entertaining as well as an introduction to various intriguing mathematical topics and ideas. Certainly, many stories and famous puzzles can be very useful to prepare classroom lectures, to inspire and amuse students, and to instill affection for mathematics.
Download or read book The Cult of Smart written by Fredrik deBoer and published by All Points Books. This book was released on 2020-08-04 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Named one of Vulture’s Top 10 Best Books of 2020! Leftist firebrand Fredrik deBoer exposes the lie at the heart of our educational system and demands top-to-bottom reform. Everyone agrees that education is the key to creating a more just and equal world, and that our schools are broken and failing. Proposed reforms variously target incompetent teachers, corrupt union practices, or outdated curricula, but no one acknowledges a scientifically-proven fact that we all understand intuitively: Academic potential varies between individuals, and cannot be dramatically improved. In The Cult of Smart, educator and outspoken leftist Fredrik deBoer exposes this omission as the central flaw of our entire society, which has created and perpetuated an unjust class structure based on intellectual ability. Since cognitive talent varies from person to person, our education system can never create equal opportunity for all. Instead, it teaches our children that hierarchy and competition are natural, and that human value should be based on intelligence. These ideas are counter to everything that the left believes, but until they acknowledge the existence of individual cognitive differences, progressives remain complicit in keeping the status quo in place. This passionate, voice-driven manifesto demands that we embrace a new goal for education: equality of outcomes. We must create a world that has a place for everyone, not just the academically talented. But we’ll never achieve this dream until the Cult of Smart is destroyed.
