Algebra and analysis: problems and solutions

Cover......Page 1
Editor\'s Foreword......Page 6
Preface......Page 7
Practical Suggestions for the Use of this Collection of Exercises......Page 9
Table of Alternative References......Page 11
Contents......Page 12
Part 1: General concepts and basic algebraic structures......Page 14
Part 2: Complex numbers, polynomials, and rational fractions......Page 52
Part 3: Linear and multilinear algebra......Page 100
Part 4: Real functions of a real variable; continuity; differentiation, sequences of numbers and functions......Page 224
Part 5: Integration of real regulated functions, integration over a noncompact interval, evaluation of integrals......Page 334
Part 6: Mappings of R into R^p, of R^p into R or R^4, and C into C; line integrals; double and triple integrals......Page 428
Part 7: Numerical series and series of functions......Page 488
Part 8: Differential equations, linear differential systems......Page 544
Glossary......Page 594
Subject Index......Page 601