Mathematics Via Problems
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Mathematics Via Problems
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Author : Arkadiy Skopenkov
language : en
Publisher: American Mathematical Society, Mathematical Sciences Research Institute
Release Date : 2021-02-11
Mathematics Via Problems written by Arkadiy Skopenkov and has been published by American Mathematical Society, Mathematical Sciences Research Institute this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-11 with Mathematics categories.
This book is a translation from Russian of Part I of the book Mathematics Through Problems: From Olympiads and Math Circles to Profession. The other two parts, Geometry and Combinatorics, will be published soon. The main goal of this book is to develop important parts of mathematics through problems. The author tries to put together sequences of problems that allow high school students (and some undergraduates) with strong interest in mathematics to discover and recreate much of elementary mathematics and start edging into the sophisticated world of topics such as group theory, Galois theory, and so on, thus building a bridge (by showing that there is no gap) between standard high school exercises and more intricate and abstract concepts in mathematics. Definitions and/or references for material that is not standard in the school curriculum are included. However, many topics in the book are difficult when you start learning them from scratch. To help with this, problems are carefully arranged to provide gradual introduction into each subject. Problems are often accompanied by hints and/or complete solutions The book is based on classes taught by the author at different times at the Independent University of Moscow, at a number of Moscow schools and math circles, and at various summer schools. It can be used by high school students and undergraduates, their teachers, and organizers of summer camps and math circles. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.
Mathematics Via Problems
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Author : Alekseĭ Aleksandrovich Zaslavskiĭ
language : en
Publisher:
Release Date : 2021
Mathematics Via Problems written by Alekseĭ Aleksandrovich Zaslavskiĭ and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Geometry categories.
This book is a translation from Russian of Part II of the book Mathematics Through Problems: From Olympiads and Math Circles to Profession. Part I, Algebra, was recently published in the same series. Part III, Combinatorics, will be published soon.The main goal of this book is to develop important parts of mathematics through problems. The authors tried to put together sequences of problems that allow high school students (and some undergraduates) with strong interest in mathematics to discover and recreate much of elementary mathematics and start edging into more sophisticated topics such as.
Mathematics Via Problems
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Author : Mikhail B. Skopenkov
language : en
Publisher: American Mathematical Society, Simons Laufer Mathematical Sciences Institute (SLMath, formerly MSRI)
Release Date : 2023-11-17
Mathematics Via Problems written by Mikhail B. Skopenkov and has been published by American Mathematical Society, Simons Laufer Mathematical Sciences Institute (SLMath, formerly MSRI) this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-17 with Mathematics categories.
This book is a translation from Russian of Part III of the book Mathematics via Problems: From Olympiads and Math Circles to Profession. Part I, Algebra, and Part II, Geometry, have been published in the same series. The main goal of this book is to develop important parts of mathematics through problems. The authors tried to put together sequences of problems that allow high school students (and some undergraduates) with strong interest in mathematics to discover such topics in combinatorics as counting, graphs, constructions and invariants in combinatorics, games and algorithms, probabilistic aspects of combinatorics, and combinatorial geometry. Definitions and/or references for material that is not standard in the school curriculum are included. To help students that might be unfamiliar with new material, problems are carefully arranged to provide gradual introduction into each subject. Problems are often accompanied by hints and/or complete solutions. The book is based on classes taught by the authors at different times at the Independent University of Moscow, at a number of Moscow schools and math circles, and at various summer schools. It can be used by high school students and undergraduates, their teachers, and organizers of summer camps and math circles. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, SLMath (formerly MSRI) and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.
Mathematics Via Problems Part 2 Geometry
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Author : Alexey A. Zaslavsky
language : en
Publisher: American Mathematical Soc.
Release Date : 2021-08-24
Mathematics Via Problems Part 2 Geometry written by Alexey A. Zaslavsky and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-24 with Education categories.
This book is a translation from Russian of Part II of the book Mathematics Through Problems: From Olympiads and Math Circles to Profession. Part I, Algebra, was recently published in the same series. Part III, Combinatorics, will be published soon. The main goal of this book is to develop important parts of mathematics through problems. The authors tried to put together sequences of problems that allow high school students (and some undergraduates) with strong interest in mathematics to discover and recreate much of elementary mathematics and start edging into more sophisticated topics such as projective and affine geometry, solid geometry, and so on, thus building a bridge between standard high school exercises and more intricate notions in geometry. Definitions and/or references for material that is not standard in the school curriculum are included. To help students that might be unfamiliar with new material, problems are carefully arranged to provide gradual introduction into each subject. Problems are often accompanied by hints and/or complete solutions. The book is based on classes taught by the authors at different times at the Independent University of Moscow, at a number of Moscow schools and math circles, and at various summer schools. It can be used by high school students and undergraduates, their teachers, and organizers of summer camps and math circles. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.
Mathematics Via Problems
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Author : Arkadiy Skopenkov
language : en
Publisher:
Release Date : 2021
Mathematics Via Problems written by Arkadiy Skopenkov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Algebra categories.
Mathematical Problems Via Down Under
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Author : Derek Allan Holton
language : en
Publisher:
Release Date : 1997
Mathematical Problems Via Down Under written by Derek Allan Holton and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
Introduction To Math Olympiad Problems
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Author : Michael A. Radin
language : en
Publisher: CRC Press
Release Date : 2021-06-24
Introduction To Math Olympiad Problems written by Michael A. Radin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-24 with Mathematics categories.
Introduction to Math Olympiad Problems aims to introduce high school students to all the necessary topics that frequently emerge in international Math Olympiad competitions. In addition to introducing the topics, the book will also provide several repetitive-type guided problems to help develop vital techniques in solving problems correctly and efficiently. The techniques employed in the book will help prepare students for the topics they will typically face in an Olympiad-style event, but also for future college mathematics courses in Discrete Mathematics, Graph Theory, Differential Equations, Number Theory and Abstract Algebra. Features: Numerous problems designed to embed good practice in readers, and build underlying reasoning, analysis and problem-solving skills Suitable for advanced high school students preparing for Math Olympiad competitions
Mathematical Word Problems
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Author : John Carty
language : en
Publisher: Australian Self Publishing Group
Release Date : 2023-11-01
Mathematical Word Problems written by John Carty and has been published by Australian Self Publishing Group this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-01 with Education categories.
John Carty wrote this book to get parents involved in their child’s mathematics education, especially that aspect involving word problems. It goes from age 10 to year 10, so you don’t need any Calculus to do any of the questions. A sound grasp of Algebra would help in many cases. There are 777 questions across 7 categories (chapters) and John’s ideal was a child could start doing 3 or 4 questions a week, and this way could be aged 16 before you get through all 777 successfully. All answers are provided. Hints for problem solving are detailed in the forward, but are in no way exhaustive. In learning there is nothing wrong with repetition and to go through some chapters 2 or 3 times, would enhance maths problem-solving skills in many students. In some cases, there are what maths educators call ‘elegant solutions’ but in in others, a parent may come up with a different pathway to the correct answer. John has been involved in using mathematics and in mathematics education all his life and feels bringing in the parents is a possible strategy to increasing the capacity of a child’s mathematical toolkit.
A Decade Of The Berkeley Math Circle
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Author : Zvezdelina Stankova
language : en
Publisher: American Mathematical Soc.
Release Date : 2008-11-26
A Decade Of The Berkeley Math Circle written by Zvezdelina Stankova and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-26 with Mathematics categories.
Many mathematicians have been drawn to mathematics through their experience with math circles: extracurricular programs exposing teenage students to advanced mathematical topics and a myriad of problem solving techniques and inspiring in them a lifelong love for mathematics. Founded in 1998, the Berkeley Math Circle (BMC) is a pioneering model of a U.S. math circle, aspiring to prepare our best young minds for their future roles as mathematics leaders. Over the last decade, 50 instructors--from university professors to high school teachers to business tycoons--have shared their passion for mathematics by delivering more than 320 BMC sessions full of mathematical challenges and wonders. Based on a dozen of these sessions, this book encompasses a wide variety of enticing mathematical topics: from inversion in the plane to circle geometry; from combinatorics to Rubik's cube and abstract algebra; from number theory to mass point theory; from complex numbers to game theory via invariants and monovariants. The treatments of these subjects encompass every significant method of proof and emphasize ways of thinking and reasoning via 100 problem solving techniques. Also featured are 300 problems, ranging from beginner to intermediate level, with occasional peaks of advanced problems and even some open questions. The book presents possible paths to studying mathematics and inevitably falling in love with it, via teaching two important skills: thinking creatively while still ``obeying the rules,'' and making connections between problems, ideas, and theories. The book encourages you to apply the newly acquired knowledge to problems and guides you along the way, but rarely gives you ready answers. ``Learning from our own mistakes'' often occurs through discussions of non-proofs and common problem solving pitfalls. The reader has to commit to mastering the new theories and techniques by ``getting your hands dirty'' with the problems, going back and reviewing necessary problem solving techniques and theory, and persistently moving forward in the book. The mathematical world is huge: you'll never know everything, but you'll learn where to find things, how to connect and use them. The rewards will be substantial. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.
Problems Of Number Theory In Mathematical Competitions
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Author : Hong-Bing Yu
language : en
Publisher: World Scientific
Release Date : 2010
Problems Of Number Theory In Mathematical Competitions written by Hong-Bing Yu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
Number theory is an important research field of mathematics. In mathematical competitions, problems of elementary number theory occur frequently. These problems use little knowledge and have many variations. They are flexible and diverse. In this book, the author introduces some basic concepts and methods in elementary number theory via problems in mathematical competitions. Readers are encouraged to try to solve the problems by themselves before they read the given solutions of examples. Only in this way can they truly appreciate the tricks of problem-solving.