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Author : Martin Gardner
Publisher : W H Freeman & Company
Page : 278 pages
File Size : 46,8 Mb
Release : 1986
Category : Mathematics
ISBN : 0716717999
Introduces puzzles and math problems involving coincidence, ciphers, games, the I Ching, geometric figures, and paradoxes.
Author : Martin Gardner
Publisher : American Mathematical Soc.
Page : 278 pages
File Size : 55,9 Mb
Release : 2020-10-06
Category : Mathematics
ISBN : 9781470463649
Martin Gardner's Mathematical Games columns in Scientific American inspired and entertained several generations of mathematicians and scientists. Gardner in his crystal-clear prose illuminated corners of mathematics, especially recreational mathematics, that most people had no idea existed. His playful spirit and inquisitive nature invite the reader into an exploration of beautiful mathematical ideas along with him. These columns were both a revelation and a gift when he wrote them; no one--before Gardner--had written about mathematics like this. They continue to be a marvel. This is the original 1986 edition and contains columns published from 1972-1974.
Author : Clifford A. Pickover
Publisher : Union Square + ORM
Page : 937 pages
File Size : 55,9 Mb
Release : 2011-09-27
Category : Mathematics
ISBN : 9781402797491
The Neumann Prize–winning, illustrated exploration of mathematics—from its timeless mysteries to its history of mind-boggling discoveries. Beginning millions of years ago with ancient “ant odometers” and moving through time to our modern-day quest for new dimensions, The Math Book covers 250 milestones in mathematical history. Among the numerous delights readers will learn about as they dip into this inviting anthology: cicada-generated prime numbers, magic squares from centuries ago, the discovery of pi and calculus, and the butterfly effect. Each topic is lavishly illustrated with colorful art, along with formulas and concepts, fascinating facts about scientists’ lives, and real-world applications of the theorems.
Author : David Darling
Publisher : Turner Publishing Company
Page : 692 pages
File Size : 40,5 Mb
Release : 2008-04-21
Category : Mathematics
ISBN : 9780470307885
Praise for David Darling The Universal Book of Astronomy "A first-rate resource for readers and students of popular astronomy and general science. . . . Highly recommended." -Library Journal "A comprehensive survey and . . . a rare treat." -Focus The Complete Book of Spaceflight "Darling's content and presentation will have any reader moving from entry to entry." -The Observatory magazine Life Everywhere "This remarkable book exemplifies the best of today's popular science writing: it is lucid, informative, and thoroughly enjoyable." -Science Books & Films "An enthralling introduction to the new science of astrobiology." -Lynn Margulis Equations of Eternity "One of the clearest and most eloquent expositions of the quantum conundrum and its philosophical and metaphysical implications that I have read recently." -The New York Times Deep Time "A wonderful book. The perfect overview of the universe." -Larry Niven
Author : Martin Gardner
Publisher : American Mathematical Soc.
Page : 200 pages
File Size : 48,5 Mb
Release : 2020-10-05
Category : Mathematics
ISBN : 9781470463526
Martin Gardner's Mathematical Games columns in Scientific American inspired and entertained several generations of mathematicians and scientists. Gardner in his crystal-clear prose illuminated corners of mathematics, especially recreational mathematics, that most people had no idea existed. His playful spirit and inquisitive nature invite the reader into an exploration of beautiful mathematical ideas along with him. These columns were both a revelation and a gift when he wrote them; no one--before Gardner--had written about mathematics like this. They continue to be a marvel. This volume, originally published in 1959, contains the first sixteen columns published in the magazine from 1956-1958. They were reviewed and briefly updated by Gardner for this 1988 edition.
Author : Martin Gardner
Publisher : American Mathematical Soc.
Page : 295 pages
File Size : 48,5 Mb
Release : 2020-10-06
Category : Mathematics
ISBN : 9781470463656
Martin Gardner's Mathematical Games columns in Scientific American inspired and entertained several generations of mathematicians and scientists. Gardner in his crystal-clear prose illuminated corners of mathematics, especially recreational mathematics, that most people had no idea existed. His playful spirit and inquisitive nature invite the reader into an exploration of beautiful mathematical ideas along with him. These columns were both a revelation and a gift when he wrote them; no one--before Gardner--had written about mathematics like this. They continue to be a marvel. This is the original 1988 edition and contains columns published from 1974-1976.
Author : E. Atlee Jackson
Publisher : CUP Archive
Page : 676 pages
File Size : 51,7 Mb
Release : 1989
Category : Mathematics
ISBN : 0521426332
The dynamics of physical, chemical, biological or fluid systems generally must be described by nonlinear models, whose detailed mathematical solutions are not obtainable. To understand some aspects of such dynamics, various complementary methods and viewpoints are of crucial importance. The presentation and style is intended to stimulate the reader's imagination to apply these methods to a host of problems and situations.
Author : Robert Messer,Philip Straffin
Publisher : American Mathematical Soc.
Page : 240 pages
File Size : 41,7 Mb
Release : 2018-10-10
Category : Electronic
ISBN : 9781470447816
Topology is a branch of mathematics packed with intriguing concepts, fascinating geometrical objects, and ingenious methods for studying them. The authors have written this textbook to make the material accessible to undergraduate students without requiring extensive prerequisites in upper-level mathematics. The approach is to cultivate the intuitive ideas of continuity, convergence, and connectedness so students can quickly delve into knot theory, the topology of surfaces and three-dimensional manifolds, fixed points and elementary homotopy theory. The fundamental concepts of point-set topology appear at the end of the book when students can see how this level of abstraction provides a sound logical basis for the geometrical ideas that have come before. This organization exposes students to the exciting world of topology now(!) rather than later. Students using this textbook should have some exposure to the geometry of objects in higher-dimensional Euclidean spaces together with an appreciation of precise mathematical definitions and proofs.
Author : Alfred S Posamentier,Beverly Smith
Publisher : World Scientific
Page : 1042 pages
File Size : 54,8 Mb
Release : 2020-09-18
Category : Mathematics
ISBN : 9789811211430
The primary aim of this book is to provide teachers of mathematics with all the tools they would need to conduct most effective mathematics instruction. The book guides teachers through the all-important planning process, which includes short and long-term planning as well as constructing most effective lessons, with an emphasis on motivation, classroom management, emphasizing problem-solving techniques, assessment, enriching instruction for students at all levels, and introducing relevant extracurricular mathematics activities. Technology applications are woven throughout the text.A unique feature of this book is the second half, which provides 125 highly motivating enrichment units for all levels of secondary school mathematics. Many years of proven success makes this book essential for both pre-service and in-service mathematics teachers.
Author : Persi Diaconis,Ron Graham
Publisher : Princeton University Press
Page : 258 pages
File Size : 45,7 Mb
Release : 2015-10-13
Category : Crafts & Hobbies
ISBN : 9780691169774
"Magical Mathematics reveals the secrets of amazing, fun-to-perform card tricks--and the profound mathematical ideas behind them--that will astound even the most accomplished magician. Persi Diaconis and Ron Graham provide easy, step-by-step instructions for each trick, explaining how to set up the effect and offering tips on what to say and do while performing it. Each card trick introduces a new mathematical idea, and varying the tricks in turn takes readers to the very threshold of today's mathematical knowledge. For example, the Gilbreath principle--a fantastic effect where the cards remain in control despite being shuffled--is found to share an intimate connection with the Mandelbrot set. Other card tricks link to the mathematical secrets of combinatorics, graph theory, number theory, topology, the Riemann hypothesis, and even Fermat's last theorem. Diaconis and Graham are mathematicians as well as skilled performers with decades of professional experience between them. In this book they share a wealth of conjuring lore, including some closely guarded secrets of legendary magicians. Magical Mathematics covers the mathematics of juggling and shows how the I Ching connects to the history of probability and magic tricks both old and new. It tells the stories--and reveals the best tricks--of the eccentric and brilliant inventors of mathematical magic. Magical Mathematics exposes old gambling secrets through the mathematics of shuffling cards, explains the classic street-gambling scam of three-card monte, traces the history of mathematical magic back to the thirteenth century and the oldest mathematical trick--and much more"-
Author : Margie Hale
Publisher : American Mathematical Soc.
Page : 180 pages
File Size : 44,8 Mb
Release : 1996-12-31
Category : Mathematics
ISBN : 9780883859827
Every mathematician must make the transition from the calculations of high school to the structural and theoretical approaches of graduate school. Essentials of Mathematics provides the knowledge needed to move onto advanced mathematical work and a glimpse of what being a mathematician might be like. No other book takes this particular holistic approach to the task. Essentials of Mathematics is designed as both a textbook and outside reading for college students who want to prepare themselves for mathematics courses beyond the first-year level and take courses in which proofs play a major role. There are also narratives on the nature of mathematics and the mathematics profession.
Author : Marcel Danesi
Publisher : Indiana University Press
Page : 288 pages
File Size : 50,9 Mb
Release : 2004-02-20
Category : Games & Activities
ISBN : 0253217083
"Humans are the only animals who create and solve puzzles--for the sheer pleasure of it--and there is no obvious genetic reason why we would do this. Marcel Danesi explores the psychology of puzzles and puzzling, with scores of classic examples. His pioneering book is both entertaining and enlightening." --Will Shortz, Crossword Editor, The New York Times "... Puzzle fanatics will enjoy the many riddles, illusions, cryptograms and other mind-benders offered for analysis." --Psychology Today "... a bristlingly clear... always intriguing survey of the history and rationale of puzzles.... A] splendid study...." --Knight Ridder Newspapers
Author : Alfred S. Posamentier,Daniel Jaye
Publisher : ASCD
Page : 242 pages
File Size : 55,5 Mb
Release : 2007-03-15
Category : Education
ISBN : 9781416605966
Every year new secondary mathematics teachers take up positions in middle and high schools. The luckiest novices receive assistance from a coach or mentor: a master mathematics teacher who makes constructive comments, models effective approaches, and illuminates other practical aspects of teaching secondary math. But many new teachers don't have this advantage and must further their development on their own. If you are one of these teachers, this is the book you need. In these pages, veteran mathematics educators Alfred S. Posamentier, Daniel Jaye, and Stephen Krulik present a treasure chest of ideas to guide new secondary math teachers through the challenging first few months and also provide more experienced teachers with interesting alternatives to familiar methods. The topics covered include * The most effective instructional practices * The best uses of the textbook * Designing successful lessons * Creating homework that promotes learning * Incorporating challenge * Teaching reasoning and problem solving * Strategies for assessment and grading * Specific innovative ideas for teaching key concepts * Options for extracurricular activities * Long-term professional enrichment and growth. It's during the first few years of a teacher's experience that he or she develops the habits, methods, procedures, and techniques that tend to define a career. Exemplary Practices for Secondary Math Teachers provides both a foundation for excellence and a touchstone for years to come. Note: This product listing is for the Adobe Acrobat (PDF) version of the book.
Author : Alfred S. Posamentier,Stephen Krulik
Publisher : Corwin Press
Page : 281 pages
File Size : 44,8 Mb
Release : 2008-03-20
Category : Education
ISBN : 9781452295572
"The authors have provided a unique, strategy-focused resource supported by a wealth of engaging examples that mathematics teachers can readily use to help students develop a more purposeful, systematic, and successful approach to problem solving." —Howard W. Smith, Superintendent Public Schools of the Tarrytowns, Sleepy Hollow, NY "Helps both new and veteran teachers better understand the nature of problem solving as a critical mathematics process. The authors present in very simple terms the strategies that are the backbone of mathematics instruction. This indispensable material is useful at all levels, from basic stages to advanced student work to the development of top problem solvers." —Daniel Jaye, Principal Bergen County Academies, Hackensack, NJ Help students become skilled and confident problem solvers! Demonstrating there is always more than one approach to solving a problem, well-known authors and educators Alfred S. Posamentier and Stephen Krulik present ten basic strategies that are effective for finding solutions to a wide range of mathematics problems. These tried-and-true methods—including working backwards, finding a pattern, adopting a different point of view, solving a simpler analogous problem, and making a visual representation—make problem solving easier, neater, and more understandable for students as well as teachers. Providing numerous sample problems that illustrate how mathematics teachers and specialists can incorporate these techniques into their mathematics curriculum, this updated edition also includes: A variety of new problems that show how to use the strategies References to current NCTM standards Solutions to the problems in each chapter Extensive discussions of the empowering strategies used to solve sample problems The second edition of Problem-Solving Strategies for Efficient and Elegant Solutions, Grades 6–12 helps teachers develop students′ creative problem-solving skills for success in and out of school.
Author : Anany Levitin,Maria Levitin
Publisher : Oxford University Press
Page : 280 pages
File Size : 48,8 Mb
Release : 2011-10-12
Category : Mathematics
ISBN : 9780199911776
While many think of algorithms as specific to computer science, at its core algorithmic thinking is defined by the use of analytical logic to solve problems. This logic extends far beyond the realm of computer science and into the wide and entertaining world of puzzles. In Algorithmic Puzzles, Anany and Maria Levitin use many classic brainteasers as well as newer examples from job interviews with major corporations to show readers how to apply analytical thinking to solve puzzles requiring well-defined procedures. The book's unique collection of puzzles is supplemented with carefully developed tutorials on algorithm design strategies and analysis techniques intended to walk the reader step-by-step through the various approaches to algorithmic problem solving. Mastery of these strategies--exhaustive search, backtracking, and divide-and-conquer, among others--will aid the reader in solving not only the puzzles contained in this book, but also others encountered in interviews, puzzle collections, and throughout everyday life. Each of the 150 puzzles contains hints and solutions, along with commentary on the puzzle's origins and solution methods. The only book of its kind, Algorithmic Puzzles houses puzzles for all skill levels. Readers with only middle school mathematics will develop their algorithmic problem-solving skills through puzzles at the elementary level, while seasoned puzzle solvers will enjoy the challenge of thinking through more difficult puzzles.
