Challenging Problems in Algebra

Challenging Problems in Algebra

Author: Alfred S. Posamentier

Publisher: Courier Corporation

Published: 2012-05-04

Total Pages: 296

ISBN-13: 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.


Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers

Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers

Author: P.M. Gadea

Publisher: Springer Science & Business Media

Published: 2009-12-12

Total Pages: 446

ISBN-13: 9048135648

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A famous Swiss professor gave a student’s course in Basel on Riemann surfaces. After a couple of lectures, a student asked him, “Professor, you have as yet not given an exact de nition of a Riemann surface.” The professor answered, “With Riemann surfaces, the main thing is to UNDERSTAND them, not to de ne them.” The student’s objection was reasonable. From a formal viewpoint, it is of course necessary to start as soon as possible with strict de nitions, but the professor’s - swer also has a substantial background. The pure de nition of a Riemann surface— as a complex 1-dimensional complex analytic manifold—contributes little to a true understanding. It takes a long time to really be familiar with what a Riemann s- face is. This example is typical for the objects of global analysis—manifolds with str- tures. There are complex concrete de nitions but these do not automatically explain what they really are, what we can do with them, which operations they really admit, how rigid they are. Hence, there arises the natural question—how to attain a deeper understanding? One well-known way to gain an understanding is through underpinning the d- nitions, theorems and constructions with hierarchies of examples, counterexamples and exercises. Their choice, construction and logical order is for any teacher in global analysis an interesting, important and fun creating task.


The Green Book of Mathematical Problems

The Green Book of Mathematical Problems

Author: Kenneth Hardy

Publisher: Courier Corporation

Published: 2013-11-26

Total Pages: 196

ISBN-13: 0486169456

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Rich selection of 100 practice problems — with hints and solutions — for students preparing for the William Lowell Putnam and other undergraduate-level mathematical competitions. Features real numbers, differential equations, integrals, polynomials, sets, other topics. Hours of stimulating challenge for math buffs at varying degrees of proficiency. References.


Data Analysis and Probability Workbook

Data Analysis and Probability Workbook

Author: Pearson Prentice Hall

Publisher: Prentice Hall

Published: 2006-06

Total Pages: 0

ISBN-13: 9780131657250

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Comprehensive content coverage provides flexible course outlines Our comprehensive table of contents allows teachers to easily include trigonometry, statistics, or precalculus readiness in the Algebra 2 course along with more traditional topics. Content accessible to all Abundant exercises graded by difficulty allow teachers to meet the needs of an increasingly wide range of Algebra 2 students. Algebra 1 reviewed Key Algebra 1 concepts and skills are reviewed in Chapter 1 so that all students can be successful moving on to more advanced content. Throughout the text, key skills are reviewed and reinforced where needed.


NTA JEE Main 101 Speed Tests (87 Chapter-wise + 12 Subject-wise + 2 Full)

NTA JEE Main 101 Speed Tests (87 Chapter-wise + 12 Subject-wise + 2 Full)

Author: Disha Experts

Publisher: Disha Publications

Published: 2018-11-19

Total Pages: 756

ISBN-13: 9388240987

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The Smart & Innovative Book from Disha 'NTA JEE Main 101 Speed Tests' contains: 1. 87 Chapter-wise + 12 Subject-wise + 2 Full Syllabus Tests based on the NCERT & JEE Main Syllabus. 2. Carefully selected Questions (30 per Chapter /Subject & 90 per Full Test) that helps you assess & master the complete syllabus for JEE Main. 2. The book is divided into 3 parts: (a) 87 Chapter-wise Tests (29 in Physics, 30 in Chemistry & 28 in Mathematics); (b) 12 Subject-wise (4 each in Physics, Chemistry & Mathematics); (c) 2 Full Test of PCM. 3. Time Limit, Maximum Marks, Cutoff, Qualifying Score for each Test is provided. 4. These Tests will act as an Ultimate tool for Concept Checking & Speed Building. 5. Collection of 3210 MCQ’s of all variety as per latest pattern & syllabus of NEET exam. This book, if completed with FULL HONESTY, will help you improve your score by 15-20%. A Must Have Book in the last 3-4 months of the exam and can be completed in 105 Hrs.


APC Understanding ISC Mathematics - Class 11 - Avichal Publishing Company

APC Understanding ISC Mathematics - Class 11 - Avichal Publishing Company

Author: M.L. Aggarwal

Publisher: Avichal Publishing Company

Published:

Total Pages: 928

ISBN-13: 8178555840

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Understanding ISC Mathematics, for class 11 - sections A, B & C, has been written by Mr. M.L. Aggarwal (Former Head of P.G. Department of Mathematics, D.A.V. College, Jalandhar) strictly according to the new syllabus prescribed by the Council for the Indian School Certificate Examinations, New Delhi in the year 2015 and onwards for students of class 11. A new feature - Typical Illustrative Examples and Typical Problems, has been added in some chapters for those students who want to attempt some more challenging problems. The entire matter in the book is given in a logical sequence so as to develop and strengthen the concepts of the students.


Essentials of Stochastic Processes

Essentials of Stochastic Processes

Author: Richard Durrett

Publisher: Springer

Published: 2016-11-07

Total Pages: 282

ISBN-13: 3319456148

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Building upon the previous editions, this textbook is a first course in stochastic processes taken by undergraduate and graduate students (MS and PhD students from math, statistics, economics, computer science, engineering, and finance departments) who have had a course in probability theory. It covers Markov chains in discrete and continuous time, Poisson processes, renewal processes, martingales, and option pricing. One can only learn a subject by seeing it in action, so there are a large number of examples and more than 300 carefully chosen exercises to deepen the reader’s understanding. Drawing from teaching experience and student feedback, there are many new examples and problems with solutions that use TI-83 to eliminate the tedious details of solving linear equations by hand, and the collection of exercises is much improved, with many more biological examples. Originally included in previous editions, material too advanced for this first course in stochastic processes has been eliminated while treatment of other topics useful for applications has been expanded. In addition, the ordering of topics has been improved; for example, the difficult subject of martingales is delayed until its usefulness can be applied in the treatment of mathematical finance.


Fundamentals of Mathematical Statistics

Fundamentals of Mathematical Statistics

Author: S.C. Gupta

Publisher: Sultan Chand & Sons

Published: 2020-09-10

Total Pages: 22

ISBN-13: 9351611736

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Knowledge updating is a never-ending process and so should be the revision of an effective textbook. The book originally written fifty years ago has, during the intervening period, been revised and reprinted several times. The authors have, however, been thinking, for the last few years that the book needed not only a thorough revision but rather a substantial rewriting. They now take great pleasure in presenting to the readers the twelfth, thoroughly revised and enlarged, Golden Jubilee edition of the book. The subject-matter in the entire book has been re-written in the light of numerous criticisms and suggestions received from the users of the earlier editions in India and abroad. The basis of this revision has been the emergence of new literature on the subject, the constructive feedback from students and teaching fraternity, as well as those changes that have been made in the syllabi and/or the pattern of examination papers of numerous universities. Knowledge updating is a never-ending process and so should be the revision of an effective textbook. The book originally written fifty years ago has, during the intervening period, been revised and reprinted several times. The authors have, however, been thinking, for the last few years that the book needed not only a thorough revision but rather a substantial rewriting. They now take great pleasure in presenting to the readers the twelfth, thoroughly revised and enlarged, Golden Jubilee edition of the book. The subject-matter in the entire book has been re-written in the light of numerous criticisms and suggestions received from the users of the earlier editions in India and abroad. The basis of this revision has been the emergence of new literature on the subject, the constructive feedback from students and teaching fraternity, as well as those changes that have been made in the syllabi and/or the pattern of examination papers of numerous universities. Knowledge updating is a never-ending process and so should be the revision of an effective textbook. The book originally written fifty years ago has, during the intervening period, been revised and reprinted several times. The authors have, however, been thinking, for the last few years that the book needed not only a thorough revision but rather a substantial rewriting. They now take great pleasure in presenting to the readers the twelfth, thoroughly revised and enlarged, Golden Jubilee edition of the book. The subject-matter in the entire book has been re-written in the light of numerous criticisms and suggestions received from the users of the earlier editions in India and abroad. The basis of this revision has been the emergence of new literature on the subject, the constructive feedback from students and teaching fraternity, as well as those changes that have been made in the syllabi and/or the pattern of examination papers of numerous universities. Some prominent additions are given below: 1. Variance of Degenerate Random Variable 2. Approximate Expression for Expectation and Variance 3. Lyapounov’s Inequality 4. Holder’s Inequality 5. Minkowski’s Inequality 6. Double Expectation Rule or Double-E Rule and many others