Advanced Problems In Mathematics
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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 | : Stephen Siklos |
| Publisher | : Open Book Publishers |
| Total Pages | : 188 |
| Release | : 2016-01-25 |
| Genre | : Mathematics |
| ISBN | : 9781783741427 |
This book 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 as the basis for conditional offers. They are also used by Warwick University, and many other mathematics departments recommend that their applicants practice on the past papers even if they do not take the examination. Advanced Problems in Mathematics is recommended as preparation for any undergraduate mathematics course, even for students who do not plan to take the Sixth Term Examination Paper. The questions analysed in this book are all based on recent STEP questions selected to address the syllabus for Papers I and II, which is the A-level core (i.e. C1 to C4) with a few additions. 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 anybody interested in advanced mathematics.
| Author | : S. T. C. Siklos |
| Publisher | : |
| Total Pages | : |
| Release | : |
| Genre | : Calculus |
| ISBN | : 9781783741458 |
"This book is intended to help students prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Papers). STEP examinations are used by Cambridge colleges as the basis for conditional offers in mathematics and sometimes in other mathematics-related subjects. They are also used by Warwick University, and many other mathematics departments recommend that their applicants practice on past papers to become accustomed to university-style mathematics. Advanced Problems in Mathematics is recommended as preparation for any undergraduate mathematics course, even for students who do not plan to take the Sixth Term Examination Paper. The questions analysed in this book are all based on recent STEP questions selected to address the syllabus for Papers I and II, which is the A-level core (i.e. C1 to C4) with a few additions. 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."--Open Textbook Library.
| Author | : Alfred S. Posamentier |
| Publisher | : Courier Corporation |
| Total Pages | : 296 |
| Release | : 2012-05-04 |
| Genre | : Mathematics |
| ISBN | : 0486131548 |
Over 300 unusual problems, ranging from easy to difficult, involving equations and inequalities, Diophantine equations, number theory, quadratic equations, logarithms, more. Detailed solutions, as well as brief answers, for all problems are provided.
| Author | : Nikolaĭ Nikolaevich Lebedev |
| Publisher | : |
| Total Pages | : 429 |
| Release | : 1979 |
| Genre | : Mathematical physics |
| ISBN | : |
| 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 | : Alan Sultan |
| Publisher | : World Scientific |
| Total Pages | : 196 |
| Release | : 2016-02-25 |
| Genre | : Mathematics |
| ISBN | : 981473005X |
This book is a rare resource consisting of problems and solutions similar to those seen in mathematics contests from around the world. It is an excellent training resource for high school students who plan to participate in mathematics contests, and a wonderful collection of problems that can be used by teachers who wish to offer their advanced students some challenging nontraditional problems to work on to build their problem solving skills. It is also an excellent source of problems for the mathematical hobbyist who enjoys solving problems on various levels.Problems are organized by topic and level of difficulty and are cross-referenced by type, making finding many problems of a similar genre easy. An appendix with the mathematical formulas needed to solve the problems has been included for the reader's convenience. We expect that this book will expand the mathematical knowledge and help sharpen the skills of students in high schools, universities and beyond.
| Author | : Robert S. Borden |
| Publisher | : Courier Corporation |
| Total Pages | : 421 |
| Release | : 2012-09-11 |
| Genre | : Mathematics |
| ISBN | : 0486150380 |
This remarkable undergraduate-level text offers a study in calculus that simultaneously unifies the concepts of integration in Euclidean space while at the same time giving students an overview of other areas intimately related to mathematical analysis. The author achieves this ambitious undertaking by shifting easily from one related subject to another. Thus, discussions of topology, linear algebra, and inequalities yield to examinations of innerproduct spaces, Fourier series, and the secret of Pythagoras. Beginning with a look at sets and structures, the text advances to such topics as limit and continuity in En, measure and integration, differentiable mappings, sequences and series, applications of improper integrals, and more. Carefully chosen problems appear at the end of each chapter, and this new edition features an additional appendix of tips and solutions for selected problems.
| Author | : Teodora-Liliana Radulescu |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 462 |
| Release | : 2009-06-12 |
| Genre | : Mathematics |
| ISBN | : 0387773797 |
Problems in Real Analysis: Advanced Calculus on the Real Axis features a comprehensive collection of challenging problems in mathematical analysis that aim to promote creative, non-standard techniques for solving problems. This self-contained text offers a host of new mathematical tools and strategies which develop a connection between analysis and other mathematical disciplines, such as physics and engineering. A broad view of mathematics is presented throughout; the text is excellent for the classroom or self-study. It is intended for undergraduate and graduate students in mathematics, as well as for researchers engaged in the interplay between applied analysis, mathematical physics, and numerical analysis.
| Author | : Manan Khurma |
| Publisher | : Pearson Education India |
| Total Pages | : 1017 |
| Release | : 2013 |
| Genre | : |
| ISBN | : 933252033X |
Advanced Mathematics for the JEE is targeted towards students taking the JEE Mains, especially the JEE Advanced Mathematics paper. It covers all the prescribed topics and explains the conceptual foundations of a topic and makes clear its applications in solving the problems. All the chapters in the book contain theory, examples and solved problems. From chapter highlights to important facts and formulae, the theoretical portion is well-supported by numerous illustrative examples and unsolved problems of both objective and subjective types.
