Download or read book Hungarian Problem Book III written by György Hajós and published by Cambridge University Press. This book was released on 2001-08-09 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the problems and solutions of a famous Hungarian mathematics competition for high school students, from 1929 to 1943. The competition is the oldest in the world, and started in 1894. Two earlier volumes in this series contain the papers up to 1928, and further volumes are planned. The current edition adds a lot of background material which is helpful for solving the problems therein and beyond. Multiple solutions to each problem are exhibited, often with discussions of necessary background material or further remarks. This feature will increase the appeal of the book to experienced mathematicians as well as the beginners for whom it is primarily intended.
Download or read book Equations and Inequalities written by Jiri Herman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: A look at solving problems in three areas of classical elementary mathematics: equations and systems of equations of various kinds, algebraic inequalities, and elementary number theory, in particular divisibility and diophantine equations. In each topic, brief theoretical discussions are followed by carefully worked out examples of increasing difficulty, and by exercises which range from routine to rather more challenging problems. While it emphasizes some methods that are not usually covered in beginning university courses, the book nevertheless teaches techniques and skills which are useful beyond the specific topics covered here. With approximately 330 examples and 760 exercises.
Download or read book Hungarian Problem written by and published by . This book was released on 1961 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Contest Problem Book VI American High School Mathematics Examinations 1989 1994 written by Leo J. Schneider and published by American Mathematical Soc.. This book was released on 2019-01-24 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Contest Problem Book VI contains 180 challenging problems from the six years of the American High School Mathematics Examinations (AHSME), 1989 through 1994, as well as a selection of other problems. A Problems Index classifies the 180 problems in the book into subject areas: algebra, complex numbers, discrete mathematics, number theory, statistics, and trigonometry.
Download or read book The Mathematical Olympiad Handbook written by Anthony Gardiner and published by Oxford Science Publications. This book was released on 1997 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Olympiad problems help able school students flex their mathematical muscles. Good Olympiad problems are unpredictable: this makes them worthwhile but it also makes them seem hard and even unapproachable. The Mathematical Olympiad Handbook contains some of the problems and solutions from the British Mathematical Olympiads from 1965 to 1996 in a form designed to help bright students overcome this barrier.
Download or read book Counting and Configurations written by Jiri Herman and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents methods of solving problems in three areas of elementary combinatorial mathematics: classical combinatorics, combinatorial arithmetic, and combinatorial geometry. Brief theoretical discussions are immediately followed by carefully worked-out examples of increasing degrees of difficulty and by exercises that range from routine to rather challenging. The book features approximately 310 examples and 650 exercises.
Download or read book The Geometry of Numbers written by C. D. Olds and published by Cambridge University Press. This book was released on 2001-02-22 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained introduction to the geometry of numbers.
Download or read book Geometry Revisited written by H. S. M. Coxeter and published by American Mathematical Society. This book was released on 2021-12-30 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: Among the many beautiful and nontrivial theorems in geometry found in Geometry Revisited are the theorems of Ceva, Menelaus, Pappus, Desargues, Pascal, and Brianchon. A nice proof is given of Morley's remarkable theorem on angle trisectors. The transformational point of view is emphasized: reflections, rotations, translations, similarities, inversions, and affine and projective transformations. Many fascinating properties of circles, triangles, quadrilaterals, and conics are developed.
Download or read book Over and Over Again written by Gengzhe Chang and published by Cambridge University Press. This book was released on 1997 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical theme that relates chaos, graphics and geometry, all with just high school maths background.
Download or read book Mathematical Methods in Science written by George Pólya and published by Cambridge University Press. This book was released on 1977 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book captures some of Pólya's excitement and vision. Its distinctive feature is the stress on the history of certain elementary chapters of science; these can be a source of enjoyment and deeper understanding of mathematics even for beginners who have little, or perhaps no, knowledge of physics.
Download or read book Elementary Cryptanalysis written by Abraham Sinkov and published by MAA. This book was released on 2009-08-06 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the basic mathematical techniques involved in cryptanalysis.
Download or read book Graphs and Their Uses written by Oystein Ore and published by Cambridge University Press. This book was released on 1990 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classic text on graph theory, brought up to date by Robin Wilson, himself a best-selling maths author.
Download or read book Invitation to Number Theory written by Oystein Ore and published by American Mathematical Society. This book was released on 2018-08-15 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: Number theory is the branch of mathematics concerned with the counting numbers, 1, 2, 3, … and their multiples and factors. Of particular importance are odd and even numbers, squares and cubes, and prime numbers. But in spite of their simplicity, you will meet a multitude of topics in this book: magic squares, cryptarithms, finding the day of the week for a given date, constructing regular polygons, pythagorean triples, and many more. In this revised edition, John Watkins and Robin Wilson have updated the text to bring it in line with contemporary developments. They have added new material on Fermat's Last Theorem, the role of computers in number theory, and the use of number theory in cryptography, and have made numerous minor changes in the presentation and layout of the text and the exercises.
Download or read book Exercises in Mathematical Style written by John McCleary and published by American Mathematical Soc.. This book was released on 2018 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: What does style mean in mathematics? Style is both how one does something and how one communicates what was done. In this book, the author investigates the worlds of the well-known numbers, the binomial coefficients. He follows the example of Raymond Queneau's Exercises in Style.
Download or read book The Riemann Hypothesis written by Roland van der Veen and published by The Mathematical Association of America. This book was released on 2016-01-06 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces interested readers to one of the most famous and difficult open problems in mathematics: the Riemann Hypothesis. Finding a proof will not only make you famous, but also earns you a one million dollar prize. The book originated from an online internet course at the University of Amsterdam for mathematically talented secondary school students. Its aim was to bring them into contact with challenging university level mathematics and show them why the Riemann Hypothesis is such an important problem in mathematics. After taking this course, many participants decided to study in mathematics at university.
Download or read book Episodes in Nineteenth and Twentieth Century Euclidean Geometry written by Ross Honsberger and published by Cambridge University Press. This book was released on 1995 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Professor Honsberger has succeeded in 'finding' and 'extricating' unexpected and little known properties of such fundamental figures as triangles, results that deserve to be better known. He has laid the foundations for his proofs with almost entirely synthetic methods easily accessible to students of Euclidean geometry early on. While in most of his other books Honsberger presents each of his gems, morsels, and plums, as self contained tidbits, in this volume he connects chapters with some deductive treads. He includes exercises and gives their solutions at the end of the book. In addition to appealing to lovers of synthetic geometry, this book will stimulate also those who, in this era of revitalizing geometry, will want to try their hands at deriving the results by analytic methods. Many of the incidence properties call to mind the duality principle; other results tempt the reader to prove them by vector methods, or by projective transformations, or complex numbers.
Download or read book Portal through Mathematics Journey to Advanced Thinking written by O. A. Ivanov and published by American Mathematical Soc.. This book was released on 2019-10-09 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Portal through Mathematics is a collection of puzzles and problems mostly on topics relating to secondary mathematics. The problems and topics are fresh and interesting and frequently surprising. One example: the puzzle that asks how much length must be added to a belt around the Earth's equator to raise it one foot has probably achieved old chestnut status. Ivanov, after explaining the surprising answer to this question, goes a step further and asks, if you grabbed that too long belt at some point and raised it as high as possible, how high would that be? The answer to that is more surprising than the classic puzzle's answer. The book is organized into 29 themes, each a topic from algebra, geometry or calculus and each launched from an opening puzzle or problem. There are excursions into number theory, solid geometry, physics and combinatorics. Always there is an emphasis on surprise and delight. And every theme begins at a level approachable with minimal background requirements. With well over 250 puzzles and problems, there is something here sure to appeal to everyone. Portal through Mathematics will be useful for prospective secondary teachers of mathematics and may be used (as a supplementary resource) in university courses in algebra, geometry, calculus, and discrete mathematics. It can also be used for professional development for teachers looking for inspiration. However, the intended audience is much broader. Every fan of mathematics will find enjoyment in it.
