Download or read book Mathematics in Fun and in Earnest written by Nathan Altshiller-Court and published by Courier Corporation. This book was released on 2006-01-01 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: A world-renowned mathematician takes a lighthearted look at the philosophy, form, and re-creations of mathematics, discussing the science's charm as well as its utility and historical role. 1958 edition.
Download or read book Mathematics in Fun and in Earnest written by Nathan Altshiller-Court and published by . This book was released on 1964 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Coincidences Chaos and All that Math Jazz written by Edward B. Burger and published by W. W. Norton & Company. This book was released on 2005 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: An explanation of challenging puzzles within the world of mathematics considers such topics as the link between a pineapple's spirals and the famous Fibonacci numbers, and the shape of the universe as reflected by a twisted strip of paper.
Download or read book 3 1416 And All That written by DAVIS and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: LYTTON STRACHEY tells the following story. In intervals of relaxation from his art, the painter Degas used to try his hand at writing sonnets. One day, while so engaged, he found that his in spiration had run dry. In desperation he ran to his friend Mallarme, who was a poet. "My poem won't come out," he said, "and yet I'm full of excellent ideas. " "My dear Degas," Mallarme retorted, "poetry is not written with ideas, it is written with words. " If we seek an application of Mallarme's words to mathematics we find that we shall want to turn his paradox around. We are led to say that mathematics does not consist of formulas, it consists of ideas. What is platitudinous about this statement is that mathe matics, of course, consists of ideas. Who but the most unregenerate formalist, asserting that mathematics is a meaningless game played with symbols, would deny it? What is paradoxical about the state ment is that symbols and formulas dominate the mathematical page, and so one is naturally led to equate mathematics with its formulas.
Download or read book What is Mathematics written by Richard Courant and published by . This book was released on 1978 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book College Geometry written by Nathan Altshiller-Court and published by Dover Publications. This book was released on 2013-12-30 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: The standard university-level text for decades, this volume offers exercises in construction problems, harmonic division, circle and triangle geometry, and other areas. 1952 edition, revised and enlarged by the author.
Download or read book Martin Gardner s 6th Book of Mathematical Diversions from textit Scientific textit American written by Martin Gardner and published by American Mathematical Soc.. This book was released on 2020-10-06 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 1971 edition and contains columns published in the magazine from 1963-1965.
Download or read book Ethnomathematics written by Arthur B. Powell and published by SUNY Press. This book was released on 1997-04-17 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the emerging field of ethnomathematics from a critical perspective, challenging particular ways in which Eurocentrism permeates mathematics education and mathematics in general.
Download or read book Mathematics and Computation written by Avi Wigderson and published by Princeton University Press. This book was released on 2019-10-29 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the winner of the Turing Award and the Abel Prize, an introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography
Download or read book Elementary Arithmetic and Learning Aids written by Patricia McNitt Spross and published by . This book was released on 1965 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematically Speaking written by C.C. Gaither and published by CRC Press. This book was released on 1998-01-01 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the first time, a book has brought together in one easily accessible form the best expressed thoughts that are especially illuminating and pertinent to the discipline of mathematics. Mathematically Speaking: A Dictionary of Quotations provides profound, wise, and witty quotes from the most famous to the unknown. You may not find all the quoted "jewels" that exist, but you will definitely a great many of them here. The extensive author and subject indexes provide you with the perfect tools for locating quotations for practical use or pleasure, and you will soon enjoy discovering what others have said on topics ranging from addition to zero. This book will be a handy reference for the mathematician or scientific reader and the wider public interested in who has said what on mathematics.
Download or read book The Pea and the Sun written by Leonard M. Wapner and published by CRC Press. This book was released on 2005-04-29 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: Take an apple and cut it into five pieces. Would you believe that these five pieces can be reassembled in such a fashion so as to create two apples equal in shape and size to the original? Would you believe that you could make something as large as the sun by breaking a pea into a finite number of pieces and putting it back together again? Neither did Leonard Wapner, author of The Pea and the Sun, when he was first introduced to the Banach-Tarski paradox, which asserts exactly such a notion. Written in an engaging style, The Pea and the Sun catalogues the people, events, and mathematics that contributed to the discovery of Banach and Tarski's magical paradox. Wapner makes one of the most interesting problems of advanced mathematics accessible to the non-mathematician.
Download or read book Enrichment Mathematics for the Grades written by and published by . This book was released on 1963 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Reasoning written by Raymond Nickerson and published by Taylor & Francis. This book was released on 2011-02-25 with total page 597 pages. Available in PDF, EPUB and Kindle. Book excerpt: The development of mathematical competence -- both by humans as a species over millennia and by individuals over their lifetimes -- is a fascinating aspect of human cognition. This book explores when and why the rudiments of mathematical capability first appeared among human beings, what its fundamental concepts are, and how and why it has grown into the richly branching complex of specialties that it is today. It discusses whether the ‘truths’ of mathematics are discoveries or inventions, and what prompts the emergence of concepts that appear to be descriptive of nothing in human experience. Also covered is the role of esthetics in mathematics: What exactly are mathematicians seeing when they describe a mathematical entity as ‘beautiful’? There is discussion of whether mathematical disability is distinguishable from a general cognitive deficit and whether the potential for mathematical reasoning is best developed through instruction. This volume is unique in the vast range of psychological questions it covers, as revealed in the work habits and products of numerous mathematicians. It provides fascinating reading for researchers and students with an interest in cognition in general and mathematical cognition in particular. Instructors of mathematics will also find the book’s insights illuminating.
Download or read book Mathematical Constants written by Steven R. Finch and published by Cambridge University Press. This book was released on 2003-08-18 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: Steven Finch provides 136 essays, each devoted to a mathematical constant or a class of constants, from the well known to the highly exotic. This book is helpful both to readers seeking information about a specific constant, and to readers who desire a panoramic view of all constants coming from a particular field, for example, combinatorial enumeration or geometric optimization. Unsolved problems appear virtually everywhere as well. This work represents an outstanding scholarly attempt to bring together all significant mathematical constants in one place.
Download or read book Relatively and Philosophically Earnest written by Bharath Sriraman and published by IAP. This book was released on 2009-10-01 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Paul Ernest’s name is synonymous with social constructivism as a philosophy of mathematics. His contributions to mathematics education have occurred at a very fundamental level and to a extent shaped theory development in this field. His research addresses fundamental questions about the nature of mathematics and how it relates to teaching, learning and society. For the last three decades Paul has been a prolific scholar who has published in a wide array of topics such as the relationship between the philosophy of mathematics and mathematics education, and more generally the philosophy of mathematics education, ethics and values in mathematics education, and the philosophy of research methodology. The title of this Festschrift is meant to be a pun to convey the sometimes relativistic dimension to mathematical certainty that Paul argued for in developing his philosophy, and also a play on words for the fact that absolute “earnestness” may perhaps be a Platonic construct, and not possible in the realm of language and human discourse! Paul Ernest’s scholarly evolution and life can best be summarized in the words of Walt Whitman “Do I contradict myself? Very well then I contradict myself” (I am large, I contain multitudes). Indeed his presence has been large and multitudinous and this Festschrift celebrates his 65th Birthday with numerous contributions coming from the mathematics, philosophy and mathematics education communities around the world.
