Problems and Solutions in Mathematics

Problems and Solutions in Mathematics
Author: Ji-Xiu Chen
Publisher: World Scientific
Total Pages: 804
Release: 2011
Genre: Mathematics
ISBN: 9814304964

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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.

555 Sat Math

555 Sat Math
Author: Tayyip Oral
Publisher: Createspace Independent Publishing Platform
Total Pages: 288
Release: 2016-07-13
Genre:
ISBN: 9781535284202

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555 SAT MATH BOOK, a series of 555 Math Books, was written especially for students in a way that they would excel in Scholastic Assessment Test (SAT) Mathematics Section. The book consists of 555 Math questions and the solutions to those problems are also included. The book covers the framework of SAT, which includes concepts of Algebra I and II, Arithmetic, Probability, Data Analysis, Plane Geometry, Coordinate Geometry and Trigonometry. Of these concepts, Algebra makes up the largest part of the test, accounting more than half of the questions. Some of those questions are easy to solve even with the least knowledge of math, because all of them come with the easiest and shortest possible solution methods. Harder questions come with formulas and short tips explaining the answers.

Mathematics in the Primary School

Mathematics in the Primary School
Author: Richard R. Skemp
Publisher: Routledge
Total Pages: 178
Release: 2002-09-11
Genre: Education
ISBN: 1134974299

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National Curriculum guidelines emphasise knowledge, understanding and skills. The author, an internationally recognised authority, provides teachers with a clear explanation of these principles, and explains the relation between understanding and skills, and describes their application to the teaching of mathematics. The book contains numerous activities to show how mathematics can be learnt in the primary classroom with understanding and enjoyment, including: * formation of mathematical concepts * construction of knowledge * contents and structure of primary mathematics

Math Problems and Solutions Guide

Math Problems and Solutions Guide
Author: David Scheinker
Publisher: Keith Kressin
Total Pages: 308
Release: 2009
Genre: Mathematics
ISBN: 0965730026

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Advanced Problems in Mathematics

Advanced Problems in Mathematics
Author: Stephen Siklos
Publisher:
Total Pages: 188
Release: 2019-10-16
Genre: Mathematics
ISBN: 9781783747764

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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.

The William Lowell Putnam Mathematical Competition

The William Lowell Putnam Mathematical Competition
Author: Gerald L. Alexanderson
Publisher: Cambridge University Press
Total Pages: 164
Release: 2003
Genre: Education
ISBN: 9780883854631

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The Putnam Competition has since 1928 been providing a challenge to gifted college mathematics students. This book, the second of the Putnam Competition volumes, contains problems with their solutions for the years 1965-1984. Additional solutions are presented for many of the problems. Included is an essay on recollections of the first Putnam Exam by Herbert Robbins, as well as appendices listing the winning teams and students from 1965 through 1984. This volume offers the problem solver an enticing sample of challenging problems and their solutions. In 1980, the MAA published the first William Lowell Putnam Mathematical Competition book, covering the contest from 1938 to 1964. In 2002 the third of the Putnam problem books appeared, covering the years 1985 through 2000. All three of these books belong on the bookshelf of students, teachers, and all interested in problem solving.

Challenging Problems in Algebra

Challenging Problems in Algebra
Author: Alfred S. Posamentier
Publisher: Courier Corporation
Total Pages: 296
Release: 2012-05-04
Genre: Mathematics
ISBN: 0486131548

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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.