Mathematical Challenges

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Five Hundred Mathematical Challenges

Author : Edward J. Barbeau
Publisher : American Mathematical Soc.
ISBN 13 : 1614445079
Total Pages : 227 pages
Book Rating : 4.6/5 (144 download)

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Book Synopsis Five Hundred Mathematical Challenges by : Edward J. Barbeau

Download or read book Five Hundred Mathematical Challenges written by Edward J. Barbeau and published by American Mathematical Soc.. This book was released on 1995-12-31 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains 500 problems that range over a wide spectrum of areas of high school mathematics and levels of difficulty. Some are simple mathematical puzzlers while others are serious problems at the Olympiad level. Students of all levels of interest and ability will be entertained and taught by the book. For many problems, more than one solution is supplied so that students can see how different approaches can be taken to a problem and compare the elegance and efficiency of different tools that might be applied. Teachers at both the college and secondary levels will find the book useful, both for encouraging their students and for their own pleasure. Some of the problems can be used to provide a little spice in the regular curriculum by demonstrating the power of very basic techniques. This collection provides a solid base for students who wish to enter competitions at the Olympiad level. They can begin with easy problems and progress to more demanding ones. A special mathematical tool chest summarizes the results and techniques needed by competition-level students.

Mathematical Olympiad Challenges

Author : Titu Andreescu
Publisher : Springer Science & Business Media
ISBN 13 : 9780817641900
Total Pages : 296 pages
Book Rating : 4.6/5 (419 download)

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Book Synopsis Mathematical Olympiad Challenges by : Titu Andreescu

Download or read book Mathematical Olympiad Challenges written by Titu Andreescu and published by Springer Science & Business Media. This book was released on 2000-04-26 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of problems put together by coaches of the U.S. International Mathematical Olympiad Team.

Mathematical Challenges For All

Author : Roza Leikin
Publisher : Springer Nature
ISBN 13 : 3031188683
Total Pages : 580 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Mathematical Challenges For All by : Roza Leikin

Download or read book Mathematical Challenges For All written by Roza Leikin and published by Springer Nature. This book was released on 2023-03-17 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book argues that mathematical challenge can be found at any level and at every age and constitutes an essential characteristic of any mathematics classroom aimed at developing the students’ mathematical knowledge and skills. Since each mathematics classroom is heterogeneous with respect to students’ mathematical potential, quality mathematical instruction results from matching the level of mathematical challenge to different students’ potential. Thus, effective integration of mathematical challenge in the instructional process is strongly connected to the equity principle of mathematics education. In the three sections in this volume readers can find diverse views on mathematical challenges in curriculum and instructional design, kinds and variation of mathematically challenging tasks and collections of mathematical problems. Evidence-based analysis is interwoven with theoretical positions expressed by the authors of the chapters. Cognitive, social and affective characteristics of challenging mathematical activities are observed and analyzed. The volume opens new avenues of research in mathematics education, and pose multiple questions about mathematical instruction rich in mathematical challenge for all. The authors invite readers to explore and enjoy mathematical challenges at different levels.

Advanced Problems in Mathematics

Author : Stephen Siklos
Publisher :
ISBN 13 : 9781783747764
Total Pages : 188 pages
Book Rating : 4.7/5 (477 download)

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Book Synopsis Advanced Problems in Mathematics by : Stephen Siklos

Download or read book Advanced Problems in Mathematics written by Stephen Siklos and published by . This book was released on 2019-10-16 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new and expanded edition is intended to help candidates prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Paper). STEP is an examination used by Cambridge Colleges for conditional offers in mathematics. They are also used by some other UK universities and many mathematics departments recommend that their applicants practice on the past papers even if they do not take the examination. Advanced Problems in Mathematics bridges the gap between school and university mathematics, and prepares students for an undergraduate mathematics course. The questions analysed in this book are all based on past STEP questions and each question is followed by a comment and a full solution. The comments direct the reader's attention to key points and put the question in its true mathematical context. The solutions point students to the methodology required to address advanced mathematical problems critically and independently. This book is a must read for any student wishing to apply to scientific subjects at university level and for anyone interested in advanced mathematics.

Challenges in Geometry

Author : Christopher J. Bradley
Publisher : OUP Oxford
ISBN 13 : 0191524263
Total Pages : 218 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Challenges in Geometry by : Christopher J. Bradley

Download or read book Challenges in Geometry written by Christopher J. Bradley and published by OUP Oxford. This book was released on 2005-02-17 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International Mathematical Olympiad (IMO) is the World Championship Mathematics Competition for High School students and is held annually in a different country. More than eighty countries are involved. Containing numerous exercises, illustrations, hints and solutions, presented in a lucid and thought-provoking style, this text provides a wide range of skills required in competitions such as the Mathematical Olympiad. More than fifty problems in Euclidean geometry involving integers and rational numbers are presented. Early chapters cover elementary problems while later sections break new ground in certain areas and are a greater challenge for the more adventurous reader. The text is ideal for Mathematical Olympiad training and also serves as a supplementary text for students in pure mathematics, particularly number theory and geometry. Dr. Christopher Bradley was formerly a Fellow and Tutor in Mathematics at Jesus College, Oxford, Deputy Leader of the British Mathematical Olympiad Team and for several years Secretary of the British Mathematical Olympiad Committee.

The Great Mathematical Problems

Author : Ian Stewart
Publisher : Profile Books
ISBN 13 : 1847653510
Total Pages : 468 pages
Book Rating : 4.8/5 (476 download)

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Book Synopsis The Great Mathematical Problems by : Ian Stewart

Download or read book The Great Mathematical Problems written by Ian Stewart and published by Profile Books. This book was released on 2013-03-07 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are some mathematical problems whose significance goes beyond the ordinary - like Fermat's Last Theorem or Goldbach's Conjecture - they are the enigmas which define mathematics. The Great Mathematical Problems explains why these problems exist, why they matter, what drives mathematicians to incredible lengths to solve them and where they stand in the context of mathematics and science as a whole. It contains solved problems - like the Poincaré Conjecture, cracked by the eccentric genius Grigori Perelman, who refused academic honours and a million-dollar prize for his work, and ones which, like the Riemann Hypothesis, remain baffling after centuries. Stewart is the guide to this mysterious and exciting world, showing how modern mathematicians constantly rise to the challenges set by their predecessors, as the great mathematical problems of the past succumb to the new techniques and ideas of the present.

Challenging Mathematical Tasks

Author : Peter Sullivan
Publisher :
ISBN 13 : 9780190303808
Total Pages : 179 pages
Book Rating : 4.3/5 (38 download)

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Book Synopsis Challenging Mathematical Tasks by : Peter Sullivan

Download or read book Challenging Mathematical Tasks written by Peter Sullivan and published by . This book was released on 2017-08-29 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: Challenging Mathematical Tasks supports the idea that students learn best when they work on problems that they do not yet know how to solve. Peter Sullivan's research shows that many students do not fear challenges in mathematics, but welcome them. And rather than having teachers instruct them, these students prefer to work out solutions for themselves.Challenging Mathematical Tasks:includes activities that allow for sustained thinking, decision-making and risk-taking by the studentsfeatures a 'Learning Focus', 'Key Mathematical Language', 'Pedagogical Considerations', 'Enabling and Extending Prompts' for each task, plus 'Supplementary Tasks' and 'Possible Solutions'is written by a well-established expert in the field of teaching and learning mathematicsfollows a set structure to help students approach and work through the tasks.For a preview, see the Sample Pages tab.

Mathematical Challenges from Theoretical/Computational Chemistry

Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 030917662X
Total Pages : 143 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Challenges from Theoretical/Computational Chemistry by : National Research Council

Download or read book Mathematical Challenges from Theoretical/Computational Chemistry written by National Research Council and published by National Academies Press. This book was released on 1995-03-29 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational methods are rapidly becoming major tools of theoretical, pharmaceutical, materials, and biological chemists. Accordingly, the mathematical models and numerical analysis that underlie these methods have an increasingly important and direct role to play in the progress of many areas of chemistry. This book explores the research interface between computational chemistry and the mathematical sciences. In language that is aimed at non-specialists, it documents some prominent examples of past successful cross-fertilizations between the fields and explores the mathematical research opportunities in a broad cross-section of chemical research frontiers. It also discusses cultural differences between the two fields and makes recommendations for overcoming those differences and generally promoting this interdisciplinary work.

Variational Analysis and Aerospace Engineering: Mathematical Challenges for Aerospace Design

Author : Giuseppe Buttazzo
Publisher : Springer Science & Business Media
ISBN 13 : 1461424356
Total Pages : 467 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Variational Analysis and Aerospace Engineering: Mathematical Challenges for Aerospace Design by : Giuseppe Buttazzo

Download or read book Variational Analysis and Aerospace Engineering: Mathematical Challenges for Aerospace Design written by Giuseppe Buttazzo and published by Springer Science & Business Media. This book was released on 2012-04-23 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of papers presented at the Variational Analysis and Aerospace Engineering Workshop II held in Erice, Italy in September 2010 at the International School of Mathematics "Guido Stampacchia". The workshop provided a platform for aerospace engineers and mathematicians (from universities, research centers and industry) to discuss the advanced problems requiring an extensive application of mathematics. The presentations were dedicated to the most advanced subjects in engineering and, in particular to computational fluid dynamics methods, introduction of new materials, optimization in aerodynamics, structural optimization, space missions, flight mechanics, control theory and optimization, variational methods and applications, etc. This book will capture the interest of researchers from both academia and industry.

Mathematical Olympiad Challenges

Author : Titu Andreescu
Publisher : Springer Science & Business Media
ISBN 13 : 1461221382
Total Pages : 270 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Mathematical Olympiad Challenges by : Titu Andreescu

Download or read book Mathematical Olympiad Challenges written by Titu Andreescu and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Olympiad Challenges is a rich collection of problems put together by two experienced and well-known professors and coaches of the U.S. International Mathematical Olympiad Team. Hundreds of beautiful, challenging, and instructive problems from algebra, geometry, trigonometry, combinatorics, and number theory were selected from numerous mathematical competitions and journals. An important feature of the work is the comprehensive background material provided with each grouping of problems. The problems are clustered by topic into self-contained sections with solutions provided separately. All sections start with an essay discussing basic facts and one or two representative examples. A list of carefully chosen problems follows and the reader is invited to take them on. Additionally, historical insights and asides are presented to stimulate further inquiry. The emphasis throughout is on encouraging readers to move away from routine exercises and memorized algorithms toward creative solutions to open-ended problems. Aimed at motivated high school and beginning college students and instructors, this work can be used as a text for advanced problem- solving courses, for self-study, or as a resource for teachers and students training for mathematical competitions and for teacher professional development, seminars, and workshops.

Challenging Mathematical Teasers

Author : James Alston Hope Hunter
Publisher : Courier Corporation
ISBN 13 : 9780486238524
Total Pages : 130 pages
Book Rating : 4.2/5 (385 download)

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Book Synopsis Challenging Mathematical Teasers by : James Alston Hope Hunter

Download or read book Challenging Mathematical Teasers written by James Alston Hope Hunter and published by Courier Corporation. This book was released on 1980-01-01 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: 100 tough story teasers for the jaded. More difficult algebraically than typical puzzles, and ideal for confirmed puzzle fanatic, but appendices help less experienced. Step-by-step solutions to all 100 puzzles. Also 40 new alphametics — solvable by simple arithmetic and logical reasoning — with answers, and two sample solutions.

Challenging Problems in Algebra

Author : Alfred S. Posamentier
Publisher : Courier Corporation
ISBN 13 : 0486131548
Total Pages : 296 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Challenging Problems in Algebra by : Alfred S. Posamentier

Download or read book Challenging Problems in Algebra written by Alfred S. Posamentier and published by Courier Corporation. This book was released on 2012-05-04 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over 300 unusual problems, ranging from easy to difficult, involving equations and inequalities, Diophantine equations, number theory, quadratic equations, logarithms, more. Detailed solutions, as well as brief answers, for all problems are provided.

The Ultimate Mathematical Challenge: Over 365 puzzles to test your wits and excite your mind

Author : The UK Mathematics Trust
Publisher : HarperCollins
ISBN 13 : 0008316414
Total Pages : 288 pages
Book Rating : 4.0/5 (83 download)

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Book Synopsis The Ultimate Mathematical Challenge: Over 365 puzzles to test your wits and excite your mind by : The UK Mathematics Trust

Download or read book The Ultimate Mathematical Challenge: Over 365 puzzles to test your wits and excite your mind written by The UK Mathematics Trust and published by HarperCollins. This book was released on 2018-11-01 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: ’Be warned: cracking puzzles releases a very addictive drug.’ – Marcus du Sautoy Have you ever wanted to be a puzzle pro or logical luminary? Well, look no further!

A Mathematical Orchard

Author : Mark Krusemeyer
Publisher : MAA
ISBN 13 : 0883858339
Total Pages : 412 pages
Book Rating : 4.8/5 (838 download)

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Book Synopsis A Mathematical Orchard by : Mark Krusemeyer

Download or read book A Mathematical Orchard written by Mark Krusemeyer and published by MAA. This book was released on 2012-10-11 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: An entertaining collection of 208 accessible yet challenging mathematical puzzles, designed to appeal to problem solvers at many different levels.

Solving Mathematical Problems

Author : Terence Tao
Publisher : OUP Oxford
ISBN 13 : 0191568694
Total Pages : 116 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Solving Mathematical Problems by : Terence Tao

Download or read book Solving Mathematical Problems written by Terence Tao and published by OUP Oxford. This book was released on 2006-07-28 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: Authored by a leading name in mathematics, this engaging and clearly presented text leads the reader through the tactics involved in solving mathematical problems at the Mathematical Olympiad level. With numerous exercises and assuming only basic mathematics, this text is ideal for students of 14 years and above in pure mathematics.

Nine Mathematical Challenges: An Elucidation

Author : A. Kechris
Publisher : American Mathematical Soc.
ISBN 13 : 1470454904
Total Pages : 221 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Nine Mathematical Challenges: An Elucidation by : A. Kechris

Download or read book Nine Mathematical Challenges: An Elucidation written by A. Kechris and published by American Mathematical Soc.. This book was released on 2021-09-24 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume stems from the Linde Hall Inaugural Math Symposium, held from February 22–24, 2019, at California Institute of Technology, Pasadena, California. The content isolates and discusses nine mathematical problems, or sets of problems, in a deep way, but starting from scratch. Included among them are the well-known problems of the classification of finite groups, the Navier-Stokes equations, the Birch and Swinnerton-Dyer conjecture, and the continuum hypothesis. The other five problems, also of substantial importance, concern the Lieb–Thirring inequalities, the equidistribution problems in number theory, surface bundles, ramification in covers and curves, and the gap and type problems in Fourier analysis. The problems are explained succinctly, with a discussion of what is known and an elucidation of the outstanding issues. An attempt is made to appeal to a wide audience, both in terms of the field of expertise and the level of the reader.

Mathematical Problems in Data Science

Author : Li M. Chen
Publisher : Springer
ISBN 13 : 3319251279
Total Pages : 219 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Mathematical Problems in Data Science by : Li M. Chen

Download or read book Mathematical Problems in Data Science written by Li M. Chen and published by Springer. This book was released on 2015-12-15 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes current problems in data science and Big Data. Key topics are data classification, Graph Cut, the Laplacian Matrix, Google Page Rank, efficient algorithms, hardness of problems, different types of big data, geometric data structures, topological data processing, and various learning methods. For unsolved problems such as incomplete data relation and reconstruction, the book includes possible solutions and both statistical and computational methods for data analysis. Initial chapters focus on exploring the properties of incomplete data sets and partial-connectedness among data points or data sets. Discussions also cover the completion problem of Netflix matrix; machine learning method on massive data sets; image segmentation and video search. This book introduces software tools for data science and Big Data such MapReduce, Hadoop, and Spark. This book contains three parts. The first part explores the fundamental tools of data science. It includes basic graph theoretical methods, statistical and AI methods for massive data sets. In second part, chapters focus on the procedural treatment of data science problems including machine learning methods, mathematical image and video processing, topological data analysis, and statistical methods. The final section provides case studies on special topics in variational learning, manifold learning, business and financial data rec overy, geometric search, and computing models. Mathematical Problems in Data Science is a valuable resource for researchers and professionals working in data science, information systems and networks. Advanced-level students studying computer science, electrical engineering and mathematics will also find the content helpful.