Mathematical Problems
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| Author | : Stephen Siklos |
| Publisher | : |
| Total Pages | : 188 |
| Release | : 2019-10-16 |
| Genre | : Mathematics |
| ISBN | : 9781783747764 |
This new and expanded edition is intended to help candidates prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Paper). STEP is an examination used by Cambridge Colleges for conditional offers in mathematics. They are also used by some other UK universities and many mathematics departments recommend that their applicants practice on the past papers even if they do not take the examination. Advanced Problems in Mathematics bridges the gap between school and university mathematics, and prepares students for an undergraduate mathematics course. The questions analysed in this book are all based on past STEP questions and each question is followed by a comment and a full solution. The comments direct the reader's attention to key points and put the question in its true mathematical context. The solutions point students to the methodology required to address advanced mathematical problems critically and independently. This book is a must read for any student wishing to apply to scientific subjects at university level and for anyone interested in advanced mathematics.
| Author | : Ian Stewart |
| Publisher | : Profile Books |
| Total Pages | : 468 |
| Release | : 2013-03-07 |
| Genre | : Mathematics |
| ISBN | : 1847653510 |
There are some mathematical problems whose significance goes beyond the ordinary - like Fermat's Last Theorem or Goldbach's Conjecture - they are the enigmas which define mathematics. The Great Mathematical Problems explains why these problems exist, why they matter, what drives mathematicians to incredible lengths to solve them and where they stand in the context of mathematics and science as a whole. It contains solved problems - like the Poincaré Conjecture, cracked by the eccentric genius Grigori Perelman, who refused academic honours and a million-dollar prize for his work, and ones which, like the Riemann Hypothesis, remain baffling after centuries. Stewart is the guide to this mysterious and exciting world, showing how modern mathematicians constantly rise to the challenges set by their predecessors, as the great mathematical problems of the past succumb to the new techniques and ideas of the present.
| Author | : Terence Tao |
| Publisher | : OUP Oxford |
| Total Pages | : 116 |
| Release | : 2006-07-28 |
| Genre | : Mathematics |
| ISBN | : 0191568694 |
Authored by a leading name in mathematics, this engaging and clearly presented text leads the reader through the tactics involved in solving mathematical problems at the Mathematical Olympiad level. With numerous exercises and assuming only basic mathematics, this text is ideal for students of 14 years and above in pure mathematics.
| Author | : Oswald Jacoby |
| Publisher | : Courier Corporation |
| Total Pages | : 210 |
| Release | : 2013-05-23 |
| Genre | : Science |
| ISBN | : 0486168360 |
Treasury of challenging brainteasers includes puzzles involving numbers, letters, probability, reasoning, more: The Enterprising Snail, The Fly and the Bicycles, The Lovesick Cockroaches, many others. No advanced math needed. Solutions.
| Author | : Richard Guy |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 176 |
| Release | : 2013-06-29 |
| Genre | : Mathematics |
| ISBN | : 1475717385 |
Second edition sold 2241 copies in N.A. and 1600 ROW. New edition contains 50 percent new material.
| Author | : Kenneth Hardy |
| Publisher | : Courier Corporation |
| Total Pages | : 196 |
| Release | : 2013-11-26 |
| Genre | : Mathematics |
| ISBN | : 0486169456 |
Rich selection of 100 practice problems — with hints and solutions — for students preparing for the William Lowell Putnam and other undergraduate-level mathematical competitions. Features real numbers, differential equations, integrals, polynomials, sets, other topics. Hours of stimulating challenge for math buffs at varying degrees of proficiency. References.
| Author | : Heinrich Dörrie |
| Publisher | : Courier Corporation |
| Total Pages | : 418 |
| Release | : 2013-04-09 |
| Genre | : Mathematics |
| ISBN | : 0486318478 |
Problems that beset Archimedes, Newton, Euler, Cauchy, Gauss, Monge, Steiner, and other great mathematical minds. Features squaring the circle, pi, and similar problems. No advanced math is required. Includes 100 problems with proofs.
| Author | : Edward J. Barbeau |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 227 |
| Release | : 1995-12-31 |
| Genre | : Mathematics |
| ISBN | : 1614445079 |
This book contains 500 problems that range over a wide spectrum of areas of high school mathematics and levels of difficulty. Some are simple mathematical puzzlers while others are serious problems at the Olympiad level. Students of all levels of interest and ability will be entertained and taught by the book. For many problems, more than one solution is supplied so that students can see how different approaches can be taken to a problem and compare the elegance and efficiency of different tools that might be applied. Teachers at both the college and secondary levels will find the book useful, both for encouraging their students and for their own pleasure. Some of the problems can be used to provide a little spice in the regular curriculum by demonstrating the power of very basic techniques. This collection provides a solid base for students who wish to enter competitions at the Olympiad level. They can begin with easy problems and progress to more demanding ones. A special mathematical tool chest summarizes the results and techniques needed by competition-level students.
| Author | : Paulo Ney de Souza |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 614 |
| Release | : 2004-01-08 |
| Genre | : Mathematics |
| ISBN | : 9780387204291 |
This book collects approximately nine hundred problems that have appeared on the preliminary exams in Berkeley over the last twenty years. It is an invaluable source of problems and solutions. Readers who work through this book will develop problem solving skills in such areas as real analysis, multivariable calculus, differential equations, metric spaces, complex analysis, algebra, and linear algebra.
| Author | : Alexandre Borovik |
| Publisher | : |
| Total Pages | : 398 |
| Release | : 2019-06-11 |
| Genre | : Mathematics |
| ISBN | : 9781783746996 |
