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Faddeev, Sominsky - Problems in Higher Algebra

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Problems in Higher Algebra by D. Faddeev, L. Sominsky This book of problems in higher algebra grew out of a course of instruction at the Leningrad State University and the Herzen Pedagogical Institute. It is designed for students of universities and teachers colleges as a problem book in higher algebra. The problems included here are of two radically different types. On the one hand, there are a large number of numerical examples aimed at developing computational skills and illustrating the basic propositions of the theory. The authors believe that the number of problems is sufficient to cover work in class, at home and for tests. On the other hand, there are a rather large number of problems of medium difficulty and many which will demand all the ini- tiative and ingenuity of the student. Many of the problems of this category are accompanied by hints and suggestions to be found in Part II. These problems are starred. Answers are given to all problems, some of the problems are supplied with detailed solutions. This book was translated from the Russian by George Yankovsky. The book was published by first Mir Publishers in 1978. All credits to the original uploader. PDF | 3.4 MB | Pages: 318 | Bookmarked | OCR | Cover ====================================== =++++++++++++++++++++++++++++++++++++= =+ += =+ Released on TPB by mirtitles.org += =+ += =++++++++++++++++++++++++++++++++++++= ====================================== Table of Contents Contents Part I PROBLEMS CHAPTER I. COMPLEX NUMBERS 11 CHAPTER 2. EVALUATION OF DETERMINANTS 25 CHAPTER 3. SYSTEMS OF LINEAR EQUATIONS 61 CHAPTER 4. MATRICES 76 CHAPTER 5. POLYNOMIALS AND RATIONAL FUNCTIONS OF ONE VARIABLE 88 CHAPTER 6. SYMMETRIC FUNCTIONS 116 CHAPTER 7. LINEAR ALGEBRA 133 PART II HINTS TO SOLUTIONS CHAPTER 1. COMPLEX NUMBERS 151 CHAPTER 2. EVALUATION OF DETERMINANTS 153 CHAPTER 4. MATRICES 159 CHAPTER 5. POLYNOMIALS AND RATIONAL FUNCTIONS OF ONE VARIABLE 160 CHAPTER 6. SYMMETRIC FUNCTIONS 164 CHAPTER 7. LINEAR ALGEBRA 166 PART III ANSWERS AND SOLUTIONS CHAPTER 1. COMPLEX NUMBERS 168 CHAPTER 2. EVALUATION OF DETERMINANTS 186 CHAPTER 3. SYSTEMS OF LINEAR EQUATIONS 196 CHAPTER 4. MATRICES 203 CHAPTER 5. POLYNOMIALS AND RATIONAL FUNCTIONS OF ONE VARIABLE 221 CHAPTER 6. SYMMETRIC FUNCTIONS 261 CHAPTER 7. LINEAR ALGEBRA 286 INDEX 313-------------------------------------Torrent downloaded from http://thepiratebay.se

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