Problems Books in Mathematics

Berkeley Problems in Mathematics
By Paulo N. de Souza, Jorge-Nuno Silva, Paulo Ney de Souza

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Publisher: Springer
Number Of Pages: 616
Publication Date: 2004-01-20
ISBN-10 / ASIN: 0387008926
ISBN-13 / EAN: 9780387008929
Binding: Paperback


Book Description:
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This book is a compilation of approximately nine hundred problems, which have appeared on the preliminary exams in Berkeley over the last twenty years. It is an invaluable source of problems and solutions for every mathematics student who plans to enter a Ph.D. program. Students who work through this book will develop problem solving skills in areas such as real analysis, multivariable calculus, differential equations, metric spaces, complex analysis, algebra, and linear algebra. The problems are organized by subject and ordered in an increasing level of difficulty. This new edition contains approximately 120 new problems and 200 new solutions. It is an ideal means for students to strengthen their foundation in basic mathematics and to prepare for graduate studies

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By Ji-Xiu Chen, Jiang Guo-Ying, Pan Yang-Lian, Qin Tie-Hu, Tong Yu-Sun, Wu Quan-Shui, Xu Shen-Zhi, Ta-Chien Li,​

Publisher: World Scientific Publishing Company
Number Of Pages: 539
Publication Date: 1999-06
Sales Rank: 783961
ISBN / ASIN: 9810234805
EAN: 9789810234805
Binding: Paperback
Manufacturer: World Scientific Publishing Company
Studio: World Scientific Publishing Company
Average Rating: 5
Total Reviews: 2

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by LearningExpress Editors


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Publisher: LearningExpress
Number Of Pages: 271
Publication Date: 2002-08-09
Sales Rank: 392050
ISBN / ASIN: 1576854248
EAN: 9781576854242
Binding: Paperback
Manufacturer: LearningExpress
Studio: LearningExpress
Average Rating: 1.5
Total Reviews: 3


Book Description:
Key aptitude tests, such as the SAT and GRE, include an algebra section within the math portion of the exam. In lieu of this, college-bound students must master algebra to get into their school of choice. 501 Algebra Questions provides the questions to help master these tests. These algebra questions familiarize readers with algebraic expressions and integers, how to multiply and factor polynomials, and how to use quadratic formulas and sound reasoning skills to solve these problems. In addition, 501 Algebra Questions teaches math-phobics, or those just needing math practice, how to build analytical skills.

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password: tah ​

 

College Algebra Solved!™ 2007
by Bagatrix

If you're looking for help in college algebra, you've come to the right

place. College Algebra Solved!™ solves your most difficult college

algebra problems, providing the answers you want with all of the step-

by-step work and explanations you need. With additional powerful

features including infinite example problems, practice tests, progress

tracking, and a math document desiger College Algebra Solved!™ is the

complete all-in-one college algebra solution you've been looking for.



Exclusive College Algebra Software Solver
Using Bagatrix Problem Solved!™ Technology, an advanced mathematical

software solving system, College Algebra Solved!™ lets you enter in

YOUR college algebra problems and provides the answers with step-by-

step work.




Covers All College Algebra Topoics:

Addition/Elimination Method
Arithmetic of Functions
Arithmetic Operations
Arithmetic Sequences
Calculating Slope and Y Intercept
Combining Like Terms
Completing the Square
Complex Operations
Composite Functions
Determining Odd and Even Functions
Determining Parallel Lines
Determining Perpendicular Lines
Difference of Cubes
Difference of Squares
Distance Formula
Distributive Property
Domain of Rational Expressions
Evaluating Expressions
Evaluating Function
Expanding Logarithmic Expressions
Expanding Series Notation
Exponential Equations
Exponential Expressions
Factoring by Grouping
Factoring Out Greatest Common Factor (GCF)
Factoring Trinomials
Factoring Using Any Method
Find the Midpoint of the Line Segment
Finding a Point's Quadrant
Finding Equations Using the Point-Slope Formula
Finding Equations Using Two Points
Finding the nTh Term
Finding the Sum of First n Terms
Geometric Sequences
Identifying Circles
Identifying Degree of Polynomial
Identifying Ellipses
Identifying Hyperbolas
Identifying Parabolas
Interval Inequalities
Logarithmic Equations
Matrix Addition
Matrix Multiplication
Matrix Multiplication by a Scalar
Matrix Subtraction
Maximum/Minimum of Quadratic Functions
Multiplying Polynomials Using FOIL
Negative Exponents
Operations on Polynomials
Operations on Rational Expressions
Polynomial Division
Quadratic Formula
Quadratic Inequalities
Rational Inequalities
Rationalizing Radical Expressions
Rationalizing with Complex Conjugates
Roots of Functions
Simple Exponents
Simplifying Absolute Value Expressions
Simplifying Expressions
Simplifying Functions
Simplifying Logarithmic Expressions
Simplifying Radical Expressions
Simplifying Rational Expressions by Factoring
Solve by Graphing Method
Solving Equations by Factoring
Solving Equations with Absolute Values
Solving Linear Equations
Solving Linear Inequalities
Solving Radical Equations
Solving Rational Equations
Substitution Method
Sum of Cubes
Synthetic Division
Trinomial Squares

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Dusan Djukic, Vladimir Z. Jankovic, Ivan Matic, Nikola Petrovic
"The IMO Compendium: A Collection of Problems Suggested for The International
Mathematical Olympiads: 1959-2004"
Springer | 2006-02-23 | ISBN: 0387242996 | 746 pages | PDF | 5,3 MB

The International Mathematical Olympiad (IMO) has within its almost 50-year-old history become the most popular and prestigious competition for high-school students interested in mathematics. Only six students from each participating country are given the honor of participating in this competition every year. The IMO represents not only a great opportunity to tackle interesting and challenging mathematics problems, it also offers a way for high school students to measure up with students from the rest of the world.
The IMO has sparked off a burst of creativity among enthusiasts in creating new and interesting mathematics problems. In an extremely stiff competition, only six problems are chosen each year to appear on the IMO. The total number of problems proposed for the IMOs up to this point is staggering and, as a whole, this collection of problems represents a valuable resource for all high school students preparing for the IMO.
Until now it has been almost impossible to obtain a complete collection of the problems proposed at the IMO in book form. "The IMO Compendium" is the result of a two year long collaboration between four former IMO participants from Yugoslavia, now Serbia and Montenegro, to rescue these problems from old and scattered manuscripts, and produce the ultimate source of IMO practice problems. This book attempts to gather all the problems and solutions appearing on the IMO, as well as the so-called "short-lists", a total of 864 problems. In addition, the book contains 1036 problems from various "long-lists" over the years, for a grand total of 1900 problems.
In short, "The IMO Compendium" is the ultimate collection of challenging high-school-level mathematics problems. It will be an invaluable resource, not only for high-school students preparing for mathematics competitions, but for anyone who loves and appreciates math.

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Solving Least Squares Problems
(Classics in Applied Mathematics)
By Charles L. Lawson, Richard J. Hanson


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Publisher: Society for Industrial Mathematics
Number Of Pages: 350
Publication Date: 1987-01-01
ISBN-10 / ASIN: 0898713560
ISBN-13 / EAN: 9780898713565
Binding: Paperback



Product Description:
An accessible text for the study of numerical methods for solving least squares problems remains an essential part of a scientific software foundation. This book has served this purpose well. Numerical analysts, statisticians, and engineers have developed techniques and nomenclature for the least squares problems of their own discipline. This well-organized presentation of the basic material needed for the solution of least squares problems can unify this divergence of methods. Mathematicians, practicing engineers, and scientists will welcome its return to print. The material covered includes Householder and Givens orthogonal transformations, the QR and SVD decompositions, equality constraints, solutions in nonnegative variables, banded problems, and updating methods for sequential estimation. Both the theory and practical algorithms are included. The easily understood explanations and the appendix providing a review of basic linear algebra make the book accessible for the non-specialist.


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password: twilightzone ​

 

The Problems of Mathematics 2ND Edition
By Ian Stewart



Publisher: Oxford University Press, USA
Number Of Pages: 368
Publication Date: 1992-10-01
ISBN-10 / ASIN: B000OK8F7G, 0192861484, 0192192620
ISBN-13 / EAN: 9780192861481, 9780192192622


Product Description:

Greeted with terrific reviews, the first edition of this book proved to be widely popular as both a teaching aid and an entertaining introduction to modern mathematics. It succeeded in opening the door for general readers to the power and beauty of a field often thought of as remote and lifeless. In fact, more mathematical research is being done today than ever before, while the field is evolving with unprecedented rapidity and excitement. For this second edition, Ian Stewart has fully revised the text to incorporate recent developments. There are many new illustrations, and three new chapters, including one on Kepler's sphere-packing problem, which has recently been solved, 380 years after it was first articulated. In addition, the book surveys many other areas of current research in nontechnical terms, describing what the key problems are, where they come from, how they get solved, and what can be done with the answers that are forthcoming. Readers will learn what mathematicians are like, and how their work has affected our society and history. Topics include such famous problems as Fermat's last theorem, the Riemann hypothesis, the Poincare conjecture, prime numbers, non-Euclidean geometry, the concept of infinity, probability, catastrophe theory, chaos, fractals, algorithms, and undecidable propositions. A final chapter discusses the relation between mathematics and its applications. Each topic is developed within a historical framework, and a number of recent breakthroughs are presented for the first time in a manner that general readers will find easy to understand. Ideal as supplementary reading in the classroom, The Problems of Mathematics will also be enjoyed by anyone interested in mathematics or who has sought to understand the fascinating work taking place in the field today.




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Open Problems in Analysis

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-Plane Geometry​

by: Victor Prasolov, translated and edited by Dimitry Leites​

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by: V.Prasolov, I.Sharygin, translated and edited by Dimitry Leites​

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Problems and Solutions in Introductory and Advanced Matrix Calculus





World Scientific Publishing Co Pte Ltd | 2006 | ISBN: 9812702024 | 252 pages | Djvu | 2,4 MB

As an extensive collection of problems with detailed solutions in introductory and advanced matrix calculus, this self-contained book is ideal for both graduate and undergraduate mathematics students. The coverage includes systems of linear equations, linear differential equations, functions of matrices and the Kronecker product. Many of the problems are related to applications in areas such as group theory, Lie algebra theory and graph theory. Thus, physics and engineering students will also benefit from the book. Exercises for matrix-valued differential forms are also included.









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Problems in Real Analysis
Advanced Calculus on the Real Axis

By Teodora-Liliana Radulescu, Vincentiu D. Radulescu, Titu Andreescu



Publisher: Springer
Number Of Pages: 452
Publication Date: 2009-05-29
ISBN-10 / ASIN: 0387773789
ISBN-13 / EAN: 9780387773780


Product Description


Problems in Real Analysis: Advanced Calculus on the Real Axis features a comprehensive collection of challenging problems in mathematical analysis that aim to promote creative, non-standard techniques for solving problems. This self-contained text offers a host of new mathematical tools and strategies which develop a connection between analysis and other mathematical disciplines, such as physics and engineering. A broad view of mathematics is presented throughout; the text is excellent for the classroom or self-study. It is intended for undergraduate and graduate students in mathematics, as well as for researchers engaged in the interplay between applied analysis, mathematical physics, and numerical analysis


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