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In Polyas Footsteps
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Book Synopsis In Polya's Footsteps by : Ross Honsberger
Download or read book In Polya's Footsteps written by Ross Honsberger and published by Cambridge University Press. This book was released on 1997-10-30 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: General mathematical essays as well as problems from various national and international Olympiads.
Book Synopsis In Polya's Footsteps by : Ross Honsberger
Download or read book In Polya's Footsteps written by Ross Honsberger and published by American Mathematical Soc.. This book was released on 1997-08-01 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ross Honsberger was born in Toronto, Canada, in 1929 and attended the University of Toronto. After more than a decade of teaching mathe matics in Toronto, he took advantage of a sabbatical leave to continue his studies at the University of Waterloo, Canada. He joined its faculty in 1964 in the Department of Combina torics and Optimization, and has been there ever since. Honsberger has published a number of bestselling books with the Mathematical Association of America, including Episodes in Nineteenth and Twentieth Century Euclidean Geometry, and From Erdos to Kiev. In Polya's Footsteps is his eighth book published in the Dolciani Mathematical Exposition Series. The study of mathematics is often undertaken with an air of such seriousness that it doesn't always seem to be much fun at the time. However, it is quite amazing how many surprising results and brilliant arguments one is in a position to enjoy with just a high school background. This is a book of miscellaneous delights, presented not in an attempt to instruct but as a harvest of rewards that are due good high school students and, of course, those more advancedtheir teachers, and everyone in the university mathematics community. Admittedly, they take a little concentration, but the price is a bargain for such gems. A half dozen essays are sprinkled among some hundred problems, most of which are the easier problems that have appeared on various national and international olympiads. Many subjects are representedcombinatorics, geometry, number theory, algebra, probability. The sections may be read in any order. The book concludes with twentyfive exercises and their detailed solutions. It is hoped that something to delight will be found in every sectiona surprising result, an intriguing approach, a stroke of ingenuityand that the leisurely pace and generous explanations will make them a pleasure to read. The inspiration for many of the problems came from the Olympiad Corner of Crux Mathematicorum, published by the Canadian Mathematical Society.
Download or read book In Pólya's Footsteps written by and published by . This book was released on 1997 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Learning Mathematics by : Anthony Orton
Download or read book Learning Mathematics written by Anthony Orton and published by A&C Black. This book was released on 2004-10-01 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: • Why do some students achieve more than others? • Do we have to wait until pupils are "ready"? • Can children discover math for themselves? • Does language interfere with the learning of math? This classic text, written from the viewpoint of the math teacher, provides answers to these and many more questions. Each chapter explores a particular issue that illustrates the interaction between theory and practice. New chapters have been included on cognition, pattern, and ICT.
Book Synopsis Teaching Secondary School Mathematics: Techniques And Enrichment by : Alfred S Posamentier
Download or read book Teaching Secondary School Mathematics: Techniques And Enrichment written by Alfred S Posamentier and published by World Scientific. This book was released on 2020-09-18 with total page 1042 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Wearing Gauss’s Jersey by : Dean Hathout
Download or read book Wearing Gauss’s Jersey written by Dean Hathout and published by CRC Press. This book was released on 2013-05-01 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wearing Gauss’s Jersey focuses on "Gauss problems," problems that can be very tedious and time consuming when tackled in a traditional, straightforward way but if approached in a more insightful fashion, can yield the solution much more easily and elegantly. The book shows how mathematical problem solving can be fun and how students can improve their mathematical insight, regardless of their initial level of knowledge. Illustrating the underlying unity in mathematics, it also explores how problems seemingly unrelated on the surface are actually extremely connected to each other. Each chapter starts with easy problems that demonstrate the simple insight/mathematical tools necessary to solve problems more efficiently. The text then uses these simple tools to solve more difficult problems, such as Olympiad-level problems, and develop more complex mathematical tools. The longest chapters investigate combinatorics as well as sequences and series, which are some of the most well-known Gauss problems. These topics would be very tedious to handle in a straightforward way but the book shows that there are easier ways of tackling them.
Book Synopsis Mathematical Delights by : Ross Honsberger
Download or read book Mathematical Delights written by Ross Honsberger and published by American Mathematical Soc.. This book was released on 2019-06-25 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Delights is a collection of 90 short elementary gems from algebra, geometry, combinatorics, and number theory. Ross Honsberger presents us with some surprising results, brilliant ideas, and beautiful arguments in mathematics, written in his wonderfully lucid style. The book is a mathematical entertainment to be read at a leisurely pace. High school mathematics should equip the reader to handle the problems presented in the book. The topics are entirely independent and can be read in any order. A useful set of indices helps the reader locate topics in the text.
Book Synopsis Mathematics as Problem Solving by : Alexander Soifer
Download or read book Mathematics as Problem Solving written by Alexander Soifer and published by Springer Science & Business Media. This book was released on 2009-04-29 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: Various elementary techniques for solving problems in algebra, geometry, and combinatorics are explored in this second edition of Mathematics as Problem Solving. Each new chapter builds on the previous one, allowing the reader to uncover new methods for using logic to solve problems. Topics are presented in self-contained chapters, with classical solutions as well as Soifer's own discoveries. With roughly 200 different problems, the reader is challenged to approach problems from different angles. Mathematics as Problem Solving is aimed at students from high school through undergraduate levels and beyond, educators, and the general reader interested in the methods of mathematical problem solving.
Download or read book Logic as Algebra written by Paul Halmos and published by American Mathematical Soc.. This book was released on 2019-01-29 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is an introduction to modern logic that differs from others by treating logic from an algebraic perspective. What this means is that notions and results from logic become much easier to understand when seen from a familiar standpoint of algebra. The presentation, written in the engaging and provocative style that is the hallmark of Paul Halmos, from whose course the book is taken, is aimed at a broad audience, students, teachers and amateurs in mathematics, philosophy, computer science, linguistics and engineering; they all have to get to grips with logic at some stage. All that is needed to understand the book is some basic acquaintance with algebra.
Book Synopsis The IMO Compendium by : Dušan Djukić
Download or read book The IMO Compendium written by Dušan Djukić and published by Springer Science & Business Media. This book was released on 2011-05-05 with total page 809 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The IMO Compendium" is the ultimate collection of challenging high-school-level mathematics problems and is an invaluable resource not only for high-school students preparing for mathematics competitions, but for anyone who loves and appreciates mathematics. The International Mathematical Olympiad (IMO), nearing its 50th anniversary, has become the most popular and prestigious competition for high-school students interested in mathematics. Only six students from each participating country are given the honor of participating in this competition every year. The IMO represents not only a great opportunity to tackle interesting and challenging mathematics problems, it also offers a way for high school students to measure up with students from the rest of the world. Until the first edition of this book appearing in 2006, it has been almost impossible to obtain a complete collection of the problems proposed at the IMO in book form. "The IMO Compendium" is the result of a collaboration between four former IMO participants from Yugoslavia, now Serbia and Montenegro, to rescue these problems from old and scattered manuscripts, and produce the ultimate source of IMO practice problems. This book attempts to gather all the problems and solutions appearing on the IMO through 2009. This second edition contains 143 new problems, picking up where the 1959-2004 edition has left off.
Book Synopsis Problem-Solving Strategies for Efficient and Elegant Solutions, Grades 6-12 by : Alfred S. Posamentier
Download or read book Problem-Solving Strategies for Efficient and Elegant Solutions, Grades 6-12 written by Alfred S. Posamentier and published by Corwin Press. This book was released on 2008-03-20 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: This updated edition presents ten strategies for solving a wide range of mathematics problems, plus new sample problems.
Book Synopsis Tools for Teaching Logic by : Patrick Blackburn
Download or read book Tools for Teaching Logic written by Patrick Blackburn and published by Springer Science & Business Media. This book was released on 2011-05-23 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the Third International Congress on Tools for Teaching Logic, TICTTL 2011, held in Salamanca, Spain, in June 2011. The 30 papers presented were carefully reviewed and selected from 62 submissions. The congress focusses on a variety of topics including: logic teaching software, teaching formal methods, logic in the humanities, dissemination of logic courseware and logic textbooks, methods for teaching logic at different levels of instruction, presentation of postgraduate programs in logic, e-learning, logic games, teaching argumentation theory and informal logic, and pedagogy of logic.
Book Synopsis Excursions in Calculus by : Robert M. Young
Download or read book Excursions in Calculus written by Robert M. Young and published by American Mathematical Soc.. This book was released on 1992-10-01 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the rich and elegant interplay between the two main currents of mathematics, the continuous and the discrete. Such fundamental notions in discrete mathematics as induction, recursion, combinatorics, number theory, discrete probability, and the algorithmic point of view as a unifying principle are continually explored as they interact with traditional calculus.
Book Synopsis Icons of Mathematics: An Exploration of Twenty Key Images by : Claudi Alsina
Download or read book Icons of Mathematics: An Exploration of Twenty Key Images written by Claudi Alsina and published by American Mathematical Soc.. This book was released on 2020-06-01 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors present twenty icons of mathematics, that is, geometrical shapes such as the right triangle, the Venn diagram, and the yang and yin symbol and explore mathematical results associated with them. As with their previous books (Charming Proofs, When Less is More, Math Made Visual) proofs are visual whenever possible. The results require no more than high-school mathematics to appreciate and many of them will be new even to experienced readers. Besides theorems and proofs, the book contains many illustrations and it gives connections of the icons to the world outside of mathematics. There are also problems at the end of each chapter, with solutions provided in an appendix. The book could be used by students in courses in problem solving, mathematical reasoning, or mathematics for the liberal arts. It could also be read with pleasure by professional mathematicians, as it was by the members of the Dolciani editorial board, who unanimously recommend its publication.
Book Synopsis Mathematical Diamonds by : Ross Honsberger
Download or read book Mathematical Diamonds written by Ross Honsberger and published by American Mathematical Soc.. This book was released on 2003-12-31 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ross Honsberger has done it again. He has brought together another wonderful collection of elementary mathematical problems and their solutions abounding in striking surprises and brilliant ideas that reflect the beauty of mathematics. Many of these problems come from mathematical journals. Others come from various mathematical competitions such as the Tournament of the Towns, the Balkan Olympiad, the American Invitational Mathematics Exam, and the Putnam exam. And, of course, there is a problem suggested by Paul Erdos. This book is ideal for students, teachers and anyone interested in recreational mathematics.
Book Synopsis Teaching Formal Methods by : Jeremy Gibbons
Download or read book Teaching Formal Methods written by Jeremy Gibbons and published by Springer. This book was released on 2009-10-26 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of TFM2009, the Second International FME Conference on Teaching Formal Methods, organized by the Subgroup of Education of the Formal Methods Europe (FME) association. The conference took place as part of the ?rst Formal Methods Week (FMWeek), held in Ei- hoven, The Netherlands, in November 2009. TFM2009 was a one-day forum in which to explore the successes and fa- ures of formal method (FM) education, and to promote cooperative projects to further educationand training in FMs. The organizersgatheredlecturers,tea- ers,andindustrialpartnersto discusstheir experience,presenttheir pedagogical methodologies, and explore best practices. Interest in FM teaching is growing. TFM2009 followed in a series of events on teaching FMs which includes two BCS-FACS TFM workshops (Oxford in 2003, and London in 2006), the TFM2004 conference (Ghent, 2004, with p- ceedings published as Springer LNCS Volume 3294), the FM-Ed 2006 workshop (Hamilton, co-located with FM2006), FORMED (Budapest, at ETAPS2008), and FMET2008 (Kitakyushu, co-located with ICFEM2008). FMs have an important role to play in the development of complex c- puting systems—a role acknowledged in industrial standards such as IEC61508 and ISO/IEC15408, and in the increasing use of precise modelling notations, semantic markup languages, and model-driven techniques. There is a growing need for software engineers who can work e?ectively with simple, mathematical abstractions, and with practical notions of inference and proof.
Book Synopsis Smarandache Function Journal, vol. 10/1999 by : V. Seleacu
Download or read book Smarandache Function Journal, vol. 10/1999 written by V. Seleacu and published by Infinite Study. This book was released on with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of papers concerning Smarandache type functions, numbers, sequences, inteqer algorithms, paradoxes, experimental geometries, algebraic structures, neutrosophic probability, set, and logic, etc.
