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Problems and Solutions in Mathematics

Author : Ji-Xiu Chen

Publisher : World Scientific

Page : 804 pages

File Size : 21,30 MB

Release : 2011

Category : Mathematics

ISBN : 9814304964

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Book Description

This book contains a selection of more than 500 mathematical problems and their solutions from the PhD qualifying examination papers of more than ten famous American universities. The mathematical problems cover six aspects of graduate school mathematics: Algebra, Topology, Differential Geometry, Real Analysis, Complex Analysis and Partial Differential Equations. While the depth of knowledge involved is not beyond the contents of the textbooks for graduate students, discovering the solution of the problems requires a deep understanding of the mathematical principles plus skilled techniques. For students, this book is a valuable complement to textbooks. Whereas for lecturers teaching graduate school mathematics, it is a helpful reference.



Problems And Solutions In Mathematics (2nd Edition)

Author : Tatsien Li

Publisher : World Scientific Publishing Company

Page : 804 pages

File Size : 42,99 MB

Release : 2011-02-28

Category : Mathematics

ISBN : 9813100877

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Book Description

This book contains a selection of more than 500 mathematical problems and their solutions from the PhD qualifying examination papers of more than ten famous American universities. The mathematical problems cover six aspects of graduate school mathematics: Algebra, Topology, Differential Geometry, Real Analysis, Complex Analysis and Partial Differential Equations. While the depth of knowledge involved is not beyond the contents of the textbooks for graduate students, discovering the solution of the problems requires a deep understanding of the mathematical principles plus skilled techniques. For students, this book is a valuable complement to textbooks. Whereas for lecturers teaching graduate school mathematics, it is a helpful reference.



Problem-Solving Strategies

Author : Arthur Engel

Publisher : Springer Science & Business Media

Page : 404 pages

File Size : 49,19 MB

Release : 2008-01-19

Category : Mathematics

ISBN : 0387226419

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Book Description

A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week", thus bringing a creative atmosphere into the classrooms. Equally, this is a must-have for individuals interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. In addition to being a valuable resource of mathematical problems and solution strategies, this is the most complete training book on the market.



Advanced Problems in Mathematics

Author : Stephen Siklos

Publisher :

Page : 188 pages

File Size : 48,67 MB

Release : 2019-10-16

Category : Mathematics

ISBN : 9781783747764

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Book Description

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.



Winning Solutions

Author : Edward Lozansky

Publisher : Springer Science & Business Media

Page : 253 pages

File Size : 36,28 MB

Release : 2012-12-06

Category : Mathematics

ISBN : 1461240344

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Book Description

This book provides the mathematical tools and problem-solving experience needed to successfully compete in high-level problem solving competitions. Each section presents important background information and then provides a variety of worked examples and exercises to help bridge the gap between what the reader may already know and what is required for high-level competitions. Answers or sketches of the solutions are given for all exercises.



Mathematics Problem-solving Challenges For Secondary School Students And Beyond

Author : Alan Sultan

Publisher : World Scientific

Page : 196 pages

File Size : 41,11 MB

Release : 2016-02-25

Category : Mathematics

ISBN : 981473005X

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Book Description

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.



Mathematics as Problem Solving

Author : Alexander Soifer

Publisher : Springer Science & Business Media

Page : 120 pages

File Size : 40,62 MB

Release : 2009-04-28

Category : Education

ISBN : 0387746463

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Book Description

Various elementary techniques for solving problems in algebra, geometry, and combinatorics are explored in this second edition of Mathematics as Problem Solving. Each new chapter builds on the previous one, allowing the reader to uncover new methods for using logic to solve problems. Topics are presented in self-contained chapters, with classical solutions as well as Soifer's own discoveries. With roughly 200 different problems, the reader is challenged to approach problems from different angles. Mathematics as Problem Solving is aimed at students from high school through undergraduate levels and beyond, educators, and the general reader interested in the methods of mathematical problem solving.



Elementary Analysis

Author : Kenneth A. Ross

Publisher : CUP Archive

Page : 192 pages

File Size : 10,61 MB

Release : 2014-01-15

Category : Mathematics

ISBN :

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Book Description



Problems from the Book

Author : Titu Andreescu

Publisher : Xyz Press

Page : 0 pages

File Size : 19,4 MB

Release : 2010

Category : Mathematics

ISBN : 9780979926907

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Book Description

In this volume they present innumerable beautiful results, intriguing problems, and ingenious solutions. The problems range from elementary gems to deep truths.



Challenging Problems in Algebra

Author : Alfred S. Posamentier

Publisher : Courier Corporation

Page : 296 pages

File Size : 12,17 MB

Release : 2012-05-04

Category : Mathematics

ISBN : 0486131548

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Book Description

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.