# krainaksiazek mathematical problems and solutions for high school students 20091674

- znaleziono 42 produkty w 1 sklepie

### 300 Creative Physics Problems with Solutions Anthem Press

**Książki / Literatura obcojęzyczna**

This collection of exercises, compiled for talented high school students, encourages creativity and a deeper understanding of ideas when solving physics problems. Described as 'far beyond high-school level', this book grew out of the idea that teaching should not aim for the merely routine, but challenge pupils and stretch their ability through creativity and thorough comprehension of ideas.

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### Problems for Physics Students Cambridge University Press

**Książki / Literatura obcojęzyczna**

This book is a collection of some 400 physics problems, with hints on their solutions, and answers. The physics covered encompasses all areas studies by final-year (advanced level) students in schools and high schools. The author has concentrated on presenting interesting (and to some extent unusual) problems which can be solved using the physical principles normally taught in advanced school courses. By working through the questions, the student will become adept at selecting and applying physical principles appropriate to any particular problem. Problems for Physics Students will provide stimulation and practical help not only for those preparing for pre-university examinations in physics, but also for first-year physics and engineering students studying at universities and other institutions offering first-degree courses. Teachers of physics will find this an invaluable sourcebook for ideas to generate discussion, and for unusual problems to stimulate interest.

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### 103 Trigonometry Problems Birkhäuser

**Książki / Literatura obcojęzyczna**

Problem-solving tactics and practical test-taking techniques provide in-depth enrichment and preparation for various math competitions§Comprehensive introduction to trigonometric functions, their relations and functional properties, and their applications in the Euclidean plane and solid geometry§ A cogent problem-solving resource for advanced high school students, undergraduates, and mathematics teachers engaged in competition training103 Trigonometry Problems contains highly-selected problems and solutions used in the training and testing of the USA International Mathematical Olympiad (IMO) team. Though many problems may initially appear impenetrable to the novice, most can be solved using only elementary high school mathematics techniques.§Key features:§Gradual progression in problem difficulty builds and strengthens mathematical skills and techniques§Basic topics include trigonometric formulas and identities, their applications in the geometry of the triangle, trigonometric equations and inequalities, and substitutions involving trigonometric functions§Problem-solving tactics and strategies, along with practical test-taking techniques, provide in-depth enrichment and preparation for possible participation in various mathematical competitions§Comprehensive introduction (first chapter) to trigonometric functions, their relations and functional properties, and their applications in the Euclidean plane and solid geometry expose advanced students to college level material§103 Trigonometry Problems is a cogent problem-solving resource for advanced high school students, undergraduates, and mathematics teachers engaged in competition training.§Other books by the authors include 102 Combinatorial Problems: From the Training of the USA IMO Team (0-8176-4317-6, 2003) and A Path to Combinatorics for Undergraduates: Counting Strategies (0-8176-4288-9, 2004).103 Trigonometry Problems contains highly-selected problems and solutions used in the training and testing of the USA International Mathematical Olympiad (IMO) team. Though many problems may initially appear impenetrable to the novice, most can be solved using only elementary high school mathematics techniques.§Key features:§Gradual progression in problem difficulty builds and strengthens mathematical skills and techniques§Basic topics include trigonometric formulas and identities, their applications in the geometry of the triangle, trigonometric equations and inequalities, and substitutions involving trigonometric functions§Problem-solving tactics and strategies, along with practical test-taking techniques, provide in-depth enrichment and preparation for possible participation in various mathematical competitions§Comprehensive introduction (first chapter) to trigonometric functions, their relations and functional properties, and their applications in the Euclidean plane and solid geometry expose advanced students to college level material§103 Trigonometry Problems is a cogent problem-solving resource for advanced high school students, undergraduates, and mathematics teachers engaged in competition training.§Other books by the authors include 102 Combinatorial Problems: From the Training of the USA IMO Team (0-8176-4317-6, 2003) and A Path to Combinatorics for Undergraduates: Counting Strategies (0-8176-4288-9, 2004).

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### Mathematical Olympiad Challenges Springer

**Książki / Literatura obcojęzyczna**

This signficantly revised and expanded second edition of 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 from numerous mathematical competitions and journals have been selected and updated. The problems are clustered by topic into self-contained sections with solutions provided separately. Historical insights and asides are presented to stimulate further inquiry. The emphasis throughout is on creative solutions to open-ended problems.§New to the second edition:§§ Completely rewritten discussions precede each of the 30 units, adopting a more user-friendly style with more accessible and inviting examples§§ Many new or expanded examples, problems, and solutions§§ Additional references and reader suggestions have been incorporated§§Featuring enhanced motivation for advanced high school and beginning college students, as well as instructors and Olympiad coaches, this text can be used for creative problem-solving courses, professional teacher development seminars and workshops, self-study, or as a training resource for mathematical competitions. §§This [book] is much more than just another collection of interesting, challenging problems, but is instead organized specifically for learning. The book expertly weaves together related problems, so that insights gradually become techniques, tricks slowly become methods, and methods eventually evolve into mastery . The book is aimed at motivated high school and beginning college students and instructors...I strongly recommend this book for anyone interested in creative problem-solving in mathematics . It has already taken up a prized position in my personal library, and is bound to provide me with many hours of intellectual pleasure. The Mathematical Gazette (Review of the First Edition)

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### Mathematical Olympiad in China World Scientific Publishing Co Pte Ltd

**Książki / Literatura obcojęzyczna**

The International Mathematical Olympiad (IMO) is a competition for high school students. China has taken part in IMO twenty times since 1985 and has won the top ranking for countries thirteen times, with a multitude of golds for individual students. The 6 students China sent every year were selected from 20 to 30 students among approximately 130 students who take part in the China Mathematical Competition during the winter months. This volume comprises a collection of original problems with solutions that China used to train their Olympiad team in the years from 2003 to 2006.

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### 104 Number Theory Problems Birkhäuser

**Książki / Literatura obcojęzyczna**

This challenging problem book by renowned US Olympiad coaches, mathematics teachers, and researchers develops a multitude of problem-solving skills needed to excel in mathematical contests and research in number theory. Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas, conjectures, and conclusions in writing. Applying specific techniques and strategies, readers will acquire a solid understanding of the fundamental concepts and ideas of number theory.§§The presentation begins by familiarizing students with typical examples that illustrate central themes, followed by numerous carefully selected problems and extensive discussions of their solutions. The book engages students in creative thinking and stimulates them to express their comprehension and mastery of the material beyond the classroom. 104 Number Theory Problems is a valuable resource for advanced high school students, undergraduates, instructors, and mathematics coaches preparing to participate in mathematical contests and those contemplating future research in number theory and its related areas.

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### Methods of Solving Nonstandard Problems Springer, Berlin

**Książki / Literatura obcojęzyczna**

This book intends to make students proficient in solving nonstandard and complex problems of elementary mathematics. Numerous strategies and techniques are presented that can be used to solve intriguing and challenging problems of the type often found in competitions, such as the Mathematical Olympiad. The author emphasizes connections between different fields of mathematics and often proposes several different ways to attack the same problem. Topics covered include functions and their properties, polynomials, trigonometric and transcendental equations and inequalities, optimization, and nonlinear systems. Over 300 problems are included with hints, answers, and detailed solutions. High school and college students will find this to be a valuable resource, whether they are preparing for a math competition or looking to improve their mathematical skills, as will their teachers, for whom it can serve as an extra resource in the classroom.

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### The Colorado Mathematical Olympiad: The Third Decade and Further Explorations Springer Verlag GmbH

**Książki / Literatura obcojęzyczna**

Now in its third decade, the Colorado Mathematical Olympiad (CMO), founded by the author, has become an annual state-wide competition, hosting many hundreds of middle and high school contestants each year. This book presents a year-by-year history of the CMO from 2004-2013 with all the problems from the competitions and their solutions. Additionally, the book includes 10 further explorations, bridges from solved Olympiad problems to 'real' mathematics, bringing young readers to the forefront of various fields of mathematics. This book contains more than just problems, solutions, and event statistics - it tells a compelling story involving the lives of those who have been part of the Olympiad, their reminiscences of the past and successes of the present. I am almost speechless facing the ingenuity and inventiveness demonstrated in the problems proposed in the third decade of these Olympics. However, equally impressive is the drive and persistence of the originator and living soul of them. It is hard for me to imagine the enthusiasm and commitment needed to work singlehandedly on such an endeavor over several decades. After decades of hunting for Olympiad problems, and struggling to create Olympiad problems, he has become an extraordinary connoisseur and creator of Olympiad problems. The Olympiad problems were very good, from the beginning, but in the third decade the problems have become extraordinarily good. Every brace of 5 problems is a work of art. The harder individual problems range in quality from brilliant to work-of-genius... The same goes for the "Further Explorations" part of the book. Great mathematics and mathematical questions are immersed in a sauce of fascinating anecdote and reminiscence. If you could have only one book to enjoy while stranded on a desert island, this would be a good choice. Like Gauss, Alexander Soifer would not hesitate to inject Eureka! at the right moment. Like van der Waerden, he can transform a dispassionate exercise in logic into a compelling account of sudden insights and ultimate triumph. - Cecil Rousseau Chair, USA Mathematical Olympiad Committee A delightful feature of the book is that in the second part more related problems are discussed. Some of them are still unsolved. -Paul Erdos The book is a gold mine of brilliant reasoning with special emphasis on the power and beauty of coloring proofs. Strongly recommended to both serious and recreational mathematicians on all levels of expertise. -Martin Gardner

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### Developing Mathematical Thinking Rowman & Littlefield Education

**Książki / Literatura obcojęzyczna**

In this country we have done a poor job of helping students come to see the wonder, beauty and power of mathematics. Standards can be brought into the picture, but unless we think about what it means to truly engage students in mathematics we will continue to be unsuccessful. The goal of this book is to begin to change the way students experience mathematics in the middle and high school classrooms. In this book you will find a theoretical basis for this approach to teaching mathematics, multiple guides and questions for teachers to think about in relation to their everyday teaching, and over 30 examples of problems, lessons, tasks, and projects that been used effectively with urban students.

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### Problems and Proofs in Numbers and Algebra Springer, Berlin

**Książki / Literatura obcojęzyczna**

Focusing on an approach of solving rigorous problems and learning how to prove, this volume is concentrated on two specific content themes, elementary number theory and algebraic polynomials. The benefit to readers who are moving from calculus to more abstract mathematics is to acquire the ability to understand proofs through use of the book and the multitude of proofs and problems that will be covered throughout. This book is meant to be a transitional precursor to more complex topics in analysis, advanced number theory, and abstract algebra. To achieve the goal of conceptual understanding, a large number of problems and examples will be interspersed through every chapter. The problems are always presented in a multi-step and often very challenging, requiring the reader to think about proofs, counter-examples, and conjectures. Beyond the undergraduate mathematics student audience, the text can also offer a rigorous treatment of mathematics content (numbers and algebra) for high-achieving high school students. Furthermore, prospective teachers will add to the breadth of the audience as math education majors, will understand more thoroughly methods of proof, and will add to the depth of their mathematical knowledge. In the past, PNA has been taught in a "problem solving in middle school course (twice), to a quite advanced high school students course (three semesters), and three times as a secondary resource for a course for future high school teachers. PNA is suitable for secondary math teachers who look for material to encourage and motivate more high achieving students.

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### The IMO Compendium Springer, Berlin

**Książki / Literatura obcojęzyczna**

"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.The IMO Compendium is the ultimate collection of challenging high school level mathematics problems. It is an invaluable resource, not only for students preparing for competitions, but for anyone who loves and appreciates math. Training for mathematical olympiads is enjoyed by talented students throughout the world. Olympiads have become one of the primary ways to recognize and develop talented youth with a potential to excel in areas that require abstract thinking. Although the problems appearing at IMO do not involve advanced mathematics, they must be difficult and their solutions must arise from creative and clever insights rather than tedious calculations.§In preparation for the distinguished International Mathematical Olympiad (IMO) competition, each participating country selects the top six high school students every year through a series of national olympiads. These students are invited to participate in the IMO, usually held in July. The IMO is a two-day contest where each day competitors are given three problems which they work on independently. The IMO host country appoints a special committee to which each country submits up to six problems. From this composite longlist of problems, a shortlist of 25-30 problems is created. The jury, consisting of one professor from each country, makes the final selection from the shortlist a few days before the IMO begins.§The IMO has sparked a burst of creativity among enthusiasts to create new and interesting mathematics problems. It can be safely said that the IMO and shortlisted problems are among the well-crafted problems created in a given year. This book attempts to gather all of these problems with their solutions. In addition, the book contains all the available longlist problems, for a total of more than 2000 problems.§From the reviews of the first edition:§"The International Mathematical Olympiad, or IMO is the premier international competition for talented high school mathematics students. This book collects statements and solutions of all of the problems ever set in the IMO, together with many problems proposed for the contest. serves as a vast repository of problems at the Olympiad level, useful both to students and to faculty looking for hard elementary problems. No library will want to be without a copy, nor will anyone involved in mathematics competitions " (Fernando Q. Gouv

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### Schaums 3000 Solved Problems in Physics MCGRAW-HILL Professional

**Książki / Literatura obcojęzyczna**

The ideal review for your physics courseMore than 40 million students have trusted Schaum's Outlines for their expert knowledge and helpful solved problems. Written by renowned experts in their respective fields, Schaum's Outlines cover everything from math to science, nursing to language. The main feature for all these books is the solved problems. Step-by-step, authors walk readers through coming up with solutions to exercises in their topic of choice. 3,000 solved problemsProblems from every area of physicsClear diagrams and illustrationsComprehensive index Appropriate for all high school and undergraduate physics coursesStep-by-step solutions to problemsThousands of practice problems with a wealth of problems on each topic

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### 3,000 Solved Problems In Chemistry Revised MCGRAW-HILL Professional

**Książki / Literatura obcojęzyczna**

The ideal review for your chemistry courseMore than 40 million students have trusted Schaum's Outlines for their expert knowledge and helpful solved problems. Written by renowned experts in their respective fields, Schaum's Outlines cover everything from math to science, nursing to language. The main feature for all these books is the solved problems. Step-by-step, authors walk readers through coming up with solutions to exercises in their topic of choice. 3,000 solved problemsProblems from every area of chemistryClear diagrams and illustrationsAppropriate for all high school and undergraduate chemistry coursesStep-by-step solutions to problemsThousands of practice problems with a wealth of problems on each topic

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### Creating a Learning School Paul Chapman Publishing Ltd

**Książki / Literatura obcojęzyczna**

'Improving the quality of learning and teaching is the most important thing that school leaders do. This book contains much that will help the reader in that enterprise. It reflects the fact that much of what we know about effective, high-quality schools is already 'out there' in schools across the country. The book mines that gold. It is full of good sense, a treasure chest of helpful ideas which have the credibility of being grounded in case-study material, and in the experience of the authors, two of whom are practising headteachers. The book sets out the principles underpinning the Learning School, but offers also a strong pragmatic focus and is organized so that it can be dipped into and something worthwhile easily found.It sets out practical and specific steps to creating the Learning School and will support change and improvement in the professional practices involved in making a school a stimulating learning environment for adults as well as students' - Dr Martin J Coles, Assistant Director, National College for School Leadership '[C]learly set out, passionately and well-written, covering much material, full of interesting insights, as one might expect from two head teachers and an acknowledged expert in the field. ..Lots of interesting thoughts and ideas, written in an accessible style. I would certainly recommend this book to my students' - ESCalate The schools of the 21st century cannot continue to apply the techniques of the 20th century. 'New Learning' dispenses with outdated preoccupations with tests, targets, and leadership from above, and focuses on independence of learning and structural flexibility within schools. The authors give a complete overview of how schools can adapt to meet changing needs.They look at the teacher as learner, learning outside the classroom, and the nature of leadership in learning schools, and provide practical solutions to the problems of staffing, resourcing and assessment. This book is an invaluable resource for all mid-to-upper level managers in schools, anyone aspiring to these positions, or anyone who takes a longterm view of the future of educational practice.

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### The Contest Problem Book IX Cambridge University Press

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For over fifty years, the Mathematical Association of America (MAA) has been engaged in the construction and administration of challenging contests for students in American and Canadian high schools at every level of ability. This is the ninth book of problems and solutions from the American Mathematics Competitions 12 (AMC), aimed at students of high school age, and featuring 325 problems from the 13 AMC contests held in the years 2001-2007. Graphs and figures have since been redrawn to make them more consistent in form and style, and the solutions to the problems have been both edited and supplemented. The Problem Index contained classifies the problems into the following major subject areas: Algebra and Arithmetic, Sequences and Series, Triangle Geometry, Circle Geometry, Quadrilateral Geometry, Polygon Geometry, Counting Coordinate Geometry, Solid Geometry, Discrete Probability, Statistics, Number Theory, and Logic. These are then broken down into subcategories and cross-referenced for ease of use.

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