Problems and Solutions in Mathematics

2011
Problems and Solutions in Mathematics

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  • Author: Ji-Xiu Chen
  • Publisher: World Scientific
  • ISBN: 9814304964
  • Category : Mathematics
  • Languages : en
  • Pages : 804

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

2016-07-13
555 Sat Math

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  • Author: Tayyip Oral
  • Publisher: Createspace Independent Publishing Platform
  • ISBN: 9781535284202
  • Category :
  • Languages : en
  • Pages : 288

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.

Topics in Algebra

1991-01-16
Topics in Algebra

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  • Author: I. N. Herstein
  • Publisher: John Wiley & Sons
  • ISBN: 0471010901
  • Category : Mathematics
  • Languages : en
  • Pages : 405

New edition includes extensive revisions of the material on finite groups and Galois Theory. New problems added throughout.

Probability

2016
Probability

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  • Author: David J. Morin
  • Publisher: Createspace Independent Publishing Platform
  • ISBN: 9781523318674
  • Category : Probabilities
  • Languages : en
  • Pages : 0

Preface -- Combinatorics -- Probability -- Expectation values -- Distributions -- Gaussian approximations -- Correlation and regression -- Appendices.

Mathematics in the Primary School

2002-09-11
Mathematics in the Primary School

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  • Author: Richard R. Skemp
  • Publisher: Routledge
  • ISBN: 1134974299
  • Category : Education
  • Languages : en
  • Pages : 178

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

Good Questions for Math Teaching

2002
Good Questions for Math Teaching

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  • Author: Peter Sullivan
  • Publisher: Math Solutions
  • ISBN: 0941355519
  • Category : Education
  • Languages : en
  • Pages : 113

Open-ended questions, coined ï¿1⁄2good questionsï¿1⁄2 by the authors, can prompt children to think creatively and critically. This useful book helps teachers define ï¿1⁄2good questions,ï¿1⁄2 offers teachers tips on how to create their own good questions, and presents a wide variety of sample questions that span 16 mathematical topics, including number, measurement, geometry, probability, and data.

Advanced Problems in Mathematics

2019-10-16
Advanced Problems in Mathematics

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  • Author: Stephen Siklos
  • Publisher:
  • ISBN: 9781783747764
  • Category : Mathematics
  • Languages : en
  • Pages : 188

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.

How to Think Like a Mathematician

2009-02-12
How to Think Like a Mathematician

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  • Author: Kevin Houston
  • Publisher: Cambridge University Press
  • ISBN: 1139477056
  • Category : Mathematics
  • Languages : en
  • Pages : 341

Looking for a head start in your undergraduate degree in mathematics? Maybe you've already started your degree and feel bewildered by the subject you previously loved? Don't panic! This friendly companion will ease your transition to real mathematical thinking. Working through the book you will develop an arsenal of techniques to help you unlock the meaning of definitions, theorems and proofs, solve problems, and write mathematics effectively. All the major methods of proof - direct method, cases, induction, contradiction and contrapositive - are featured. Concrete examples are used throughout, and you'll get plenty of practice on topics common to many courses such as divisors, Euclidean algorithms, modular arithmetic, equivalence relations, and injectivity and surjectivity of functions. The material has been tested by real students over many years so all the essentials are covered. With over 300 exercises to help you test your progress, you'll soon learn how to think like a mathematician.

100 Commonly Asked Questions in Math Class

2013-09-27
100 Commonly Asked Questions in Math Class

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  • Author: Alfred S. Posamentier
  • Publisher: Corwin Press
  • ISBN: 1452243085
  • Category : Education
  • Languages : en
  • Pages : 233

100 ways to get students hooked on math! It happens to the best of us: that one question thats got you stumped. Or maybe you have the answer, but its not all that compelling or convincing. Al Posamentier and his coauthors to the rescue with this handy reference containing fun answers to students 100 most frequently asked math questions. Even if you already have the answers, Als explanations are certain to keep kids hookedand thats what its all about. The questions are all organized around the Common Cores math content standards and relate directly to Numbers and Quantity, Functions, Algebra, Geometry, and Statistics and Probability.

Math Problems and Solutions Guide

2009
Math Problems and Solutions Guide

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  • Author: David Scheinker
  • Publisher: Keith Kressin
  • ISBN: 0965730026
  • Category : Mathematics
  • Languages : en
  • Pages : 308