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Problems and Solutions in Mathematics

Author : Ji-Xiu Chen

Publisher : World Scientific

Page : 804 pages

File Size : 45,99 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.



Advanced Problems in Mathematics

Author : Stephen Siklos

Publisher :

Page : 188 pages

File Size : 19,44 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.



555 Sat Math

Author : Tayyip Oral

Publisher : Createspace Independent Publishing Platform

Page : 288 pages

File Size : 21,10 MB

Release : 2016-07-13

Category :

ISBN : 9781535284202

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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.





Mathematics in the Primary School

Author : Richard R. Skemp

Publisher : Routledge

Page : 178 pages

File Size : 14,61 MB

Release : 2002-09-11

Category : Education

ISBN : 1134974299

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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





Probability

Author : David J. Morin

Publisher : Createspace Independent Publishing Platform

Page : 0 pages

File Size : 16,44 MB

Release : 2016

Category : Probabilities

ISBN : 9781523318674

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Book Description

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





Topics in Algebra

Author : I. N. Herstein

Publisher : John Wiley & Sons

Page : 405 pages

File Size : 45,34 MB

Release : 1991-01-16

Category : Mathematics

ISBN : 0471010901

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Book Description

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



100 Great Problems of Elementary Mathematics

Author : Heinrich Dörrie

Publisher : Courier Corporation

Page : 418 pages

File Size : 49,93 MB

Release : 2013-04-09

Category : Mathematics

ISBN : 0486318478

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Book Description

Problems that beset Archimedes, Newton, Euler, Cauchy, Gauss, Monge, Steiner, and other great mathematical minds. Features squaring the circle, pi, and similar problems. No advanced math is required. Includes 100 problems with proofs.