A Mathematical Gift I
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| Author | : Koji Shiga |
| Publisher | : American Mathematical Society |
| Total Pages | : 148 |
| Release | : 2005-07-18 |
| Genre | : Mathematics |
| ISBN | : 9780821832844 |
This book brings the beauty and fun of mathematics to the classroom. It offers serious mathematics in a lively, reader-friendly style. Included are exercises and many figures illustrating the main concepts. The first chapter talks about the theory of manifolds. It includes discussion of smoothness, differentiability, and analyticity, the idea of local coordinates and coordinate transformation, and a detailed explanation of the Whitney imbedding theorem (both in weak and in strong form).The second chapter discusses the notion of the area of a figure on the plane and the volume of a solid body in space. It includes the proof of the Bolyai-Gerwien theorem about scissors-congruent polynomials and Dehn's solution of the Third Hilbert Problem. This is the third volume originating from a series of lectures given at Kyoto University (Japan). It is suitable for classroom use for high school mathematics teachers and for undergraduate mathematics courses in the sciences and liberal arts. The first and second volumes are available as Volume 19 and Volume 20 in the AMS series, ""Mathematical World"".
| Author | : Kenji Ueno |
| Publisher | : American Mathematical Society |
| Total Pages | : 149 |
| Release | : 2023-07-13 |
| Genre | : Mathematics |
| ISBN | : 1470475545 |
This is the first of three volumes originated from a series of lectures in mathematics given by professors of Kyoto University in Japan for high school students. The main purpose of the lectures was to show the listeners the beauty and liveliness of mathematics using the material that is accessible to people with little preliminary knowledge. The first chapter of the book talks about the geometry and topology of surfaces. Among other topics the authors discuss the Poincar‚?Hopf theorem about critical points of vector fields on surfaces and the Gauss?Bonnet theorem about the relation between the curvature and topology (Euler characteristics). The second chapter addresses various aspects of the concept of dimension, including the Peano curve and the Poincar‚ approach to dimension. It also discusses the structure of three-dimensional manifolds, proving, in particular, that the three-dimensional sphere is the union of two doughnuts.
| Author | : Kenji Ueno |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 141 |
| Release | : 2003 |
| Genre | : Functions |
| ISBN | : 0821832832 |
Three volumes originating from a series of lectures in mathematics given by professors of Kyoto University in Japan for high school students.
| Author | : David A. Adler |
| Publisher | : Holiday House |
| Total Pages | : 18 |
| Release | : 2012-05-14 |
| Genre | : Juvenile Nonfiction |
| ISBN | : 0823427021 |
Boo! There is a mystery behind every door of the creepy haunted house. Luckily, algebra will help you solve each problem. By using simple addition, subtraction, mulitplication, and division, you'll discover that solving math mysteries isn't scary at all -- it's fun!
| Author | : Burkard Polster |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 273 |
| Release | : 2017-12-27 |
| Genre | : Mathematics |
| ISBN | : 1470435217 |
A Dingo Ate My Math Book presents ingenious, unusual, and beautiful nuggets of mathematics with a distinctly Australian flavor. It focuses, for example, on Australians' love of sports and gambling, and on Melbourne's iconic, mathematically inspired architecture. Written in a playful and humorous style, the book offers mathematical entertainment as well as a glimpse of Australian culture for the mathematically curious of all ages. This collection of engaging stories was extracted from the Maths Masters column that ran from 2007 to 2014 in Australia's Age newspaper. The maths masters in question are Burkard Polster and Marty Ross, two (immigrant) Aussie mathematicians, who each week would write about math in the news, providing a new look at old favorites, mathematical history, quirks of school mathematics—whatever took their fancy. All articles were written for a very general audience, with the intention of being as inviting as possible and assuming a minimum of mathematical background.
| Author | : Christopher J. Bradley |
| Publisher | : OUP Oxford |
| Total Pages | : 218 |
| Release | : 2005-02-17 |
| Genre | : Mathematics |
| ISBN | : 0191524263 |
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.
| Author | : D. B. Fuks |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 482 |
| Release | : 2007 |
| Genre | : Mathematics |
| ISBN | : 0821843168 |
The book consists of thirty lectures on diverse topics, covering much of the mathematical landscape rather than focusing on one area. The reader will learn numerous results that often belong to neither the standard undergraduate nor graduate curriculum and will discover connections between classical and contemporary ideas in algebra, combinatorics, geometry, and topology. The reader's effort will be rewarded in seeing the harmony of each subject. The common thread in the selected subjects is their illustration of the unity and beauty of mathematics. Most lectures contain exercises, and solutions or answers are given to selected exercises. A special feature of the book is an abundance of drawings (more than four hundred), artwork by an accomplished artist, and about a hundred portraits of mathematicians. Almost every lecture contains surprises for even the seasoned researcher.
| Author | : Leonid Efimovich Sadovskiĭ |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 164 |
| Release | : 1993 |
| Genre | : Juvenile Nonfiction |
| ISBN | : 0821895001 |
`Some scientists claim that strong tobacco and spirits clear the head and spur creativity. It would be well, however, to try other means: to exercise, jog, swim, or learn to play games like tennis, basketball, badminton, volleyball, and so on ... Not only checkers, chess, cards, or billiards are a source of interesting problems. Other sports provide them as well. Mathematical methods are increasingly applied in sports. Just think how many yet-unsolved problems arise when we study the interaction between ball and racket or between ball and court.' ---from the introduction. This unique book presents simple mathematicals models of various aspects of sports, with applications to sports training and competitions. Requiring only a background in precalculus, it would be suitable as a textbook for courses in mathematical modeling and operations research at the high school or college level. Coaches and those who do sports will find it interesting as well. The lively writing style and wide range of topics make this book especially appealing.
| Author | : P. Wojtaszczyk |
| Publisher | : Cambridge University Press |
| Total Pages | : 280 |
| Release | : 1997-02-13 |
| Genre | : Mathematics |
| ISBN | : 9780521578943 |
The only introduction to wavelets that doesn't avoid the tough mathematical questions.
| Author | : William K. Allard |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 482 |
| Release | : 1986 |
| Genre | : Mathematics |
| ISBN | : 0821814702 |
Includes twenty-six papers that survey a cross section of work in modern geometric measure theory and its applications in the calculus of variations. This title provides an access to the material, including introductions and summaries of many of the authors' much longer works and a section containing 80 open problems in the field.
