Problems and Solutions in Mathematics

Problems and Solutions in Mathematics PDF Author: Ji-Xiu Chen
Publisher: World Scientific
ISBN: 9814304964
Category : Mathematics
Languages : en
Pages : 804

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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

Problems and Solutions in Mathematics PDF Author: Ji-Xiu Chen
Publisher: World Scientific
ISBN: 9814304964
Category : Mathematics
Languages : en
Pages : 804

Get Book Here

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.

Probability

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

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

How to Think Like a Mathematician

How to Think Like a Mathematician PDF Author: Kevin Houston
Publisher: Cambridge University Press
ISBN: 1139477056
Category : Mathematics
Languages : en
Pages : 341

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Book Description
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

100 Commonly Asked Questions in Math Class PDF Author: Alfred S. Posamentier
Publisher: Corwin Press
ISBN: 1452243085
Category : Education
Languages : en
Pages : 233

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Book Description
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.

555 Sat Math

555 Sat Math PDF Author: Tayyip Oral
Publisher: Createspace Independent Publishing Platform
ISBN: 9781535284202
Category :
Languages : en
Pages : 288

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Book Description
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

Topics in Algebra PDF Author: I. N. Herstein
Publisher: John Wiley & Sons
ISBN: 0471010901
Category : Mathematics
Languages : en
Pages : 405

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

Good Questions for Math Teaching

Good Questions for Math Teaching PDF Author: Peter Sullivan
Publisher: Math Solutions
ISBN: 0941355519
Category : Education
Languages : en
Pages : 113

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Book Description
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.

Challenging Problems in Algebra

Challenging Problems in Algebra PDF Author: Alfred S. Posamentier
Publisher: Courier Corporation
ISBN: 0486131548
Category : Mathematics
Languages : en
Pages : 296

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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.

Mathematics in the Primary School

Mathematics in the Primary School PDF Author: Richard R. Skemp
Publisher: Routledge
ISBN: 1134974299
Category : Education
Languages : en
Pages : 178

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Book Description
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

How to Solve it

How to Solve it PDF Author: George Pólya
Publisher: Princeton University Press
ISBN: 069116407X
Category : Mathematics
Languages : en
Pages : 288

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Book Description
"Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" out--from building a bridge to winning a game of anagrams."--Back cover.