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Author: Alfred S. Posamentier
Publisher: Prometheus Books
Published: 2004
Total Pages: 373
ISBN-13: 1615920811
DOWNLOAD EBOOKThe authors review Pi's history from prebiblical times to the twenty-first century and the many amusing and often mind-boggling attempts to estimate its precise value ...
Author: B. C. Lester Books
Publisher:
Published: 2020-04-28
Total Pages: 106
ISBN-13: 9781913668105
DOWNLOAD EBOOKHave you been looking to learn and memorise pi to 100,000 digits? Or just looking for a gift for your friend? Then this book of Pi is perfect for you! This book contains information of how Pi is derived, where it is used in calculations and a short history on how it got to 34.1 trillion decimal places found! Click 'Buy Now' to get this at a good value.
Author: Paul J. Nahin
Publisher: Princeton University Press
Published: 2017-04-04
Total Pages: 416
ISBN-13: 0691175918
DOWNLOAD EBOOKIn the mid-eighteenth century, Swiss-born mathematician Leonhard Euler developed a formula so innovative and complex that it continues to inspire research, discussion, and even the occasional limerick. Dr. Euler's Fabulous Formula shares the fascinating story of this groundbreaking formula—long regarded as the gold standard for mathematical beauty—and shows why it still lies at the heart of complex number theory. In some ways a sequel to Nahin's An Imaginary Tale, this book examines the many applications of complex numbers alongside intriguing stories from the history of mathematics. Dr. Euler's Fabulous Formula is accessible to any reader familiar with calculus and differential equations, and promises to inspire mathematicians for years to come.
Author: Petr Beckmann
Publisher: Macmillan
Published: 1971
Total Pages: 206
ISBN-13: 9780312381851
DOWNLOAD EBOOKTraces the history of the mathematical constant pi from the stone age through the computer age, discussing the background of the times when pi progressed, and when it did not.
Author: Alfred S Posamentier
Publisher: World Scientific
Published: 2020-09-18
Total Pages: 1042
ISBN-13: 9811211434
DOWNLOAD EBOOKThe 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: William Johnston
Publisher: Oxford University Press
Published: 2009-07-27
Total Pages: 766
ISBN-13: 0199718660
DOWNLOAD EBOOKA Transition to Advanced Mathematics: A Survey Course promotes the goals of a "bridge'' course in mathematics, helping to lead students from courses in the calculus sequence (and other courses where they solve problems that involve mathematical calculations) to theoretical upper-level mathematics courses (where they will have to prove theorems and grapple with mathematical abstractions). The text simultaneously promotes the goals of a ``survey'' course, describing the intriguing questions and insights fundamental to many diverse areas of mathematics, including Logic, Abstract Algebra, Number Theory, Real Analysis, Statistics, Graph Theory, and Complex Analysis. The main objective is "to bring about a deep change in the mathematical character of students -- how they think and their fundamental perspectives on the world of mathematics." This text promotes three major mathematical traits in a meaningful, transformative way: to develop an ability to communicate with precise language, to use mathematically sound reasoning, and to ask probing questions about mathematics. In short, we hope that working through A Transition to Advanced Mathematics encourages students to become mathematicians in the fullest sense of the word. A Transition to Advanced Mathematics has a number of distinctive features that enable this transformational experience. Embedded Questions and Reading Questions illustrate and explain fundamental concepts, allowing students to test their understanding of ideas independent of the exercise sets. The text has extensive, diverse Exercises Sets; with an average of 70 exercises at the end of section, as well as almost 3,000 distinct exercises. In addition, every chapter includes a section that explores an application of the theoretical ideas being studied. We have also interwoven embedded reflections on the history, culture, and philosophy of mathematics throughout the text.
Author: Alfred S. Posamentier
Publisher: Prometheus Books
Published: 2010-06-22
Total Pages: 320
ISBN-13: 1616143215
DOWNLOAD EBOOKThe Pythagorean theorem may be the best-known equation in mathematics. Its origins reach back to the beginnings of civilization, and today every student continues to study it. What most nonmathematicians don''t understand or appreciate is why this simply stated theorem has fascinated countless generations. In this entertaining and informative book, a veteran math educator makes the importance of the Pythagorean theorem delightfully clear.He begins with a brief history of Pythagoras and the early use of his theorem by the ancient Egyptians, Babylonians, Indians, and Chinese, who used it intuitively long before Pythagoras''s name was attached to it. He then shows the many ingenious ways in which the theorem has been proved visually using highly imaginative diagrams. Some of these go back to ancient mathematicians; others are comparatively recent proofs, including one by the twentieth president of the United States, James A. Garfield. After demonstrating some curious applications of the theorem, the author then explores the Pythagorean triples, pointing out the many hidden surprises of the three numbers that can represent the sides of the right triangle (e.g, 3, 4, 5 and 5, 12, 13). And many will truly amaze the reader. He then turns to the "Pythagorean means" (the arithmetic, geometric, and harmonic means). By comparing their magnitudes in a variety of ways, he gives the reader a true appreciation for these mathematical concepts. The final two chapters view the Pythagorean theorem from an artistic point of view - namely, how Pythagoras''s work manifests itself in music and how the Pythagorean theorem can influence fractals. The author''s lucid presentation and gift for conveying the significance of this key equation to those with little math background will inform, entertain, and inspire the reader, once again demonstrating the power and beauty of mathematics!
Author: Alfred S. Posamentier
Publisher: ASCD
Published: 2007-03-15
Total Pages: 242
ISBN-13: 1416605967
DOWNLOAD EBOOKEvery 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: Dónal Mac Erlaine
Publisher: McFarland
Published: 2024-03-01
Total Pages: 232
ISBN-13: 1476652201
DOWNLOAD EBOOKOur universe is characterized by constant motion. From electrons to galaxies, all things are on the move. This resonates within the human condition; we are born to move. From the earliest hunters, sailors, and horse-riders to the modern world of trains, bicycles, and cars, movement is everywhere in human life. Our history as nomads compares starkly to our increasingly sedentary life today. This fundamental disruption of the human as a moving being led to the invention of the wheel, new religious cultures, and even the rational mind. This book considers the full depth of the link between humanity and motion, examining how it manifests in us and how we embody it. Broad and multidisciplinary, it blends history, geography, psychology, philosophy, architecture, anthropology, and spirituality.
Author: John Warwick Montgomery
Publisher: Wipf and Stock Publishers
Published: 2017-10-25
Total Pages: 393
ISBN-13: 1498298753
DOWNLOAD EBOOKTraditional apologetics is either focused on obscure, quasi-Thomist philosophical arguments for God’s existence or on 18th-century-style answers to alleged biblical contradictions. But a new approach has recently entered the picture: the juridical defence of historic Christian faith, with its particular concern for demonstrating Jesus’s deity and saving work for humankind. The undisputed leader of this movement is John Warwick Montgomery, emeritus professor of law and humanities, University of Bedfordshire, England, and director, International Academy of Apologetics, Evangelism and Human Rights, Strasbourg, France. His latest book (of more than sixty published during his career) shows the strength of legal apologetics: its arguments, drawn from secular legal reasoning, can be rejected only at the cost of jettisoning the legal system itself, on which every civilised society depends for its very existence. The present work also includes theological essays on vital topics of the day, characterised by the author’s well-known humour and skill for lucid communication.
