# krainaksiazek mathematical problems and solutions for high school students 20091674

- znaleziono 28 produktów w 1 sklepie

### 300 Creative Physics Problems with Solutions Anthem Press

**Książki / Literatura obcojęzyczna**

This collection of exercises compiled for talented high-school and undergraduate-level students encourages creativity and a deeper understanding of ideas when solving physics problems. This book features almost three hundred problems and solutions worked out in detail, dealing with classical physics topics such as mechanics, thermodynamics, electrodynamics, magnetism and optics. Posed in accessible language and requiring only elementary calculus, these problems are intended to strengthen students' knowledge of the laws of physics by applying them to practical situations in a fun and instructive way. These problems and solutions challenge students of physics, stretching their abilities through practice and a thorough comprehension of ideas.

Sklep: Libristo.pl

### Selected Problems of the Vietnamese Mathematical Olympiad (1 World Scientific Publishing

**Książki / Literatura obcojęzyczna**

Vietnam has actively organized the National Competition in Mathematics and since 1962, the Vietnamese Mathematical Olympiad (VMO). On the global stage, Vietnam has also competed in the International Mathematical Olympiad (IMO) since 1974 and constantly emerged as one of the top ten. To inspire and further challenge readers, we have gathered in this book selected problems of the VMO from 1962 to 2008. A number of Selection Test problems are also included to aid in the formation and training of a national team for IMO. The book is highly useful for high school students and teachers, coaches and instructors preparing for mathematical olympiads, as well as non-experts simply interested in having the edge over their opponents in mathematical competitions.

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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).

Sklep: Libristo.pl

### Jim Totten's Problems of the Week World Scientific Publishing Co Pte Ltd

**Książki / Literatura obcojęzyczna**

This volume provides a wide selection of problems (and solutions) to all those interested in mathematical problem solving and is accessible to readers from high school students to professionals. It is a resource for those interested in mathematical competitions ranging from high school level to the William Lowell Putnam Mathematical Competition (for undergraduate students). The collection offers challenges for students, teachers, and recreational mathematicians.

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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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### High School Chemistry Tutor RESEARCH & EDUCATION ASSOCIATI

**Książki / Literatura obcojęzyczna**

Specifically designed to meet the needs of high school students, REA's High School Chemistry Tutor presents hundreds of solved problems with step-by-step and detailed solutions. Almost any imaginable problem that might be assigned for homework or given on an exam is covered. Included are thorough sections on thermodynamics, electrochemistry, organic chemistry, biochemistry, and nuclear chemistry. Fully indexed for locating specific problems rapidly.

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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.

Sklep: Libristo.pl

### 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.

Sklep: Libristo.pl

### Topics in Algebra and Analysis Springer, Berlin

**Książki / Literatura obcojęzyczna**

This book presents topics in algebra and analysis with useful techniques for solving mathematical Olympiad problems. Most of the examples, exercises and problems in the book originate from the mathematical Olympiad contests around the world. The material is divided in ten chapters. The first four chapters are related to basic material that can be used in the first stages of any mathematical contests at high school level. The next four chapters comprise more advanced topics which are required for the international mathematical competitions and can be also useful for students in their first year of university. The final chapters provide a comprehensive list of problems which were presented at national and international contests in recent years, and solutions to all exercises and problems. in the book.

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### Number Theory Springer

**Książki / Literatura obcojęzyczna**

Number theory, an ongoing rich area of mathematical exploration, is noted for its theoretical depth, with connections and applications to other fields from representation theory, to physics, cryptography, and more. While the forefront of number theory is replete with sophisticated and famous open problems, at its foundation are basic, elementary ideas that can stimulate and challenge beginning students. This lively introductory text focuses on a problem-solving approach to the subject.§§Key features of Number Theory: Structures, Examples, and Problems:§§- A rigorous exposition starts with the natural numbers and the basics.§- Important concepts are presented with an example, which may also emphasize an application. The exposition moves systematically and intuitively to uncover deeper properties.§- Topics include divisibility, unique factorization, modular arithmetic and the Chinese Remainder Theorem, Diophantine equations, quadratic residues, binomial coefficients, Fermat and Mersenne primes and other special numbers, and special sequences. Sections on mathematical induction and the pigeonhole principle, as well as a discussion of other number systems are covered.§- Unique exercises reinforce and motivate the reader, with selected solutions to some of the problems.§- Glossary, bibliography, and comprehensive index round out the text.§§Written by distinguished research mathematicians and renowned teachers, this text is a clear, accessible introduction to the subject and a source of fascinating problems and puzzles, from advanced high school students to undergraduates, their instructors, and general readers at all levels.

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### A Path to Combinatorics for Undergraduates Birkhäuser

**Książki / Literatura obcojęzyczna**

This unique approach to combinatorics is centered around challenging examples, fully-worked solutions, and hundreds of problems---many from Olympiads and other competitions, and many original to the authors. Each chapter highlights a particular aspect of the subject and casts combinatorial concepts in the guise of questions, illustrations, and exercises that are designed to encourage creativity, improve problem-solving techniques, and widen the reader's mathematical horizons.§§Topics encompass permutations and combinations, binomial coefficients and their applications, recursion, bijections, inclusions and exclusions, and generating functions. The work is replete with a broad range of useful methods and results, such as Sperner's Theorem, Catalan paths, integer partitions and Young's diagrams, and Lucas' and Kummer's Theorems on divisibility. Strong emphasis is placed on connections between combinatorial and graph-theoretic reasoning and on links between algebra and geometry.§§The authors' previous text, 102 Combinatorial Problems, makes a fine companion volume to the present work, which is ideal for Olympiad participants and coaches, advanced high school students, undergraduates, and college instructors. The book's unusual problems and examples will stimulate seasoned mathematicians as well. A Path to Combinatorics for Undergraduates is a lively introduction not only to combinatorics, but also to mathematical ingenuity, rigor, and the joy of solving puzzles.

Sklep: Libristo.pl

### Introduction to Applied Mathematics for Environmental Science Springer, Berlin

**Książki / Literatura obcojęzyczna**

This book teaches mathematical structures and how they can be applied in environmental science. Each chapter presents story problems with an emphasis on derivation. For each of these, the discussion follows the pattern of first presenting an example of a type of structure as applied to environmental science. The definition of the structure is presented, followed by additional examples using MATLAB, and analytic methods of solving and learning from the structure.Introduction to Mathematics for Environmental Science evolved from the author s 30 years experience teaching mathematics to graduate and advanced undergraduate students in the environmental sciences. Its basic purpose is to teach various types of mathematical structures and how they can be applied in a broad range of environmental science subfields. Derivatives and integrals, ordinary and partial differential equations, and linear and non-linear algebraic equations are the basic kinds of structures (types of mathematical models) discussed.§For each mathematical topic, the book emphasizes derivation of mathematical models from "story problems" first, and solution of equations second. It suggests finding analytic solutions when possible, but discusses methods for finding numerical solutions to problems that can t be solved analytically. For most topics, examples of using Matlab software to solve and explore the structures are also included.§This text assumes that its readers will already have been introduced to the basic ideas of differential and integral calculus, so it is not an introduction to calculus. It does, however, include three early chapters to review basic algebra, derivatives, and integrals. §Professor Parkhurst earned his B.S. degree in applied mathematics from the College of Engineering, University of Colorado, Boulder, in 1965, and his Ph.D. in Botany (Plant Ecology) from the University of Wisconsin, Madison, in 1970. He then worked three years at the CSIRO Division of Atmospheric Science in Aspendale, Victoria, Australia, before joining the Environmental Science faculty of the School of Public and Environmental Affairs, Indiana University, Bloomington, in 1973. He held a joint appointment in the Biology Department there as well. He retired from that position in December, 2005, after 32 years. His research areas include mathematical modelling of adaptations of plant leaves to environment, environmental risk analysis, and applications of statistics in environmental and public health areas.

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### Brainteaser Madness NANB

**Książki / Literatura obcojęzyczna**

This book contains nearly 70 exercises designed to allow children age 9 and above to strengthen and deepen their knowledge of simple mathematical operations (addition, subtraction, division & multiplication) as well as learn to reason logically, decipher and look for clues and draw conclusions. The exercises are presented in order of difficulty, which ensures an evaluation of your child's mathematical knowledge and potential. The book helps students with difficulties in maths to review each year's programme with a parent or teacher and better understand the essence of mathematical thinking. Each exercise targets a specific problem, asks questions and provides clues for children to find the solution - not in pre-set patterns but by promoting the development of individual reasoning. The book is presented in a fun way for even more enjoyable learning. At the end of the book, you will find comments accompanying solutions to the problems. 'My First Activities' are valuable and attractive educational books designed to supplement your child's school maths programme. The books were written by authors of school textbooks and exercise books and are meant as a tool to strengthen and deepen students' knowledge both within and outside the context of school as well as a fun and clever source of entertainment. Imaginative exercises, interesting puzzles, engaging tasks, thoughtful layouts, clear solutions, and finally, interesting topics are some of the great assets of this series. Each book covers topics specific to a particular student's age. The target age group for 'My First Activities' ranges from preschool to first-year secondary school students.

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### Essential Mathematics and Statistics for Forensic Science Wiley

**Książki / Literatura obcojęzyczna**

This text is an accessible, student-friendly introduction to the wide range of mathematical and statistical tools needed by the forensic scientist in the analysis, interpretation and presentation of experimental measurements.§§From a basis of high school mathematics, the book develops essential quantitative analysis techniques within the context of a broad range of forensic applications. This clearly structured text focuses on developing core mathematical skills together with an understanding of the calculations associated with the analysis of experimental work, including an emphasis on the use of graphs and the evaluation of uncertainties. Through a broad study of probability and statistics, the reader is led ultimately to the use of Bayesian approaches to the evaluation of evidence within the court. In every section, forensic applications such as ballistics trajectories, post-mortem cooling, aspects of forensic pharmacokinetics, the matching of glass evidence, the formation of bloodstains and the interpretation of DNA profiles are discussed and examples of calculations are worked through. In every chapter there are numerous self-assessment problems to aid student learning.§§Its broad scope and forensically focused coverage make this book an essential text for students embarking on any degree course in forensic science or forensic analysis, as well as an invaluable reference for post-graduate students and forensic professionals.§§Key features:§ Offers a unique mix of mathematics and statistics topics, specifically tailored to a forensic science undergraduate degree.§ All topics illustrated with examples from the forensic science discipline.§ Written in an accessible, student-friendly way to engage interest and enhance learning and confidence.§ Assumes only a basic high-school level prior mathematical knowledge.

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### Scalar Wave Theory Springer, Berlin

**Książki / Literatura obcojęzyczna**

This book comprises some of the lecture notes I developed for various one-or two-semester courses I taught at the Colorado School of Mines. The main objective of all the courses was to introduce students to the mathematical aspects of wave theory with a focus on the solution of some specific fundamental problems. These fundamental solutions would then serve as a basis for more complex wave propagation and scattering problems. Although the courses were taught in the mathematics department, the audience was mainly not mathematicians. It consisted of gradu ate science and engineering majors with a varied background in both mathematics and wave theory in general. I believed it was necessary to start from fundamental principles of both advanced applied math ematics as well as wave theory and to develop them both in some detail. The notes reflect this type of development, and I have kept this detail in the text. I believe it essential in technical careers to see this detailed development at least once. This volume consists of five chapters. The first two on Scalar Wave Theory (Chapter 1) and Green's Functions (Chapter 2) are mainly mathematical although in Chapter 1 the wave equation is derived from fundamental physical principles. More complicated problems involving spatially and even temporally varying media are briefly introduced.

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