Topics in Algebra and Analysis
Topics in Algebra and Analysis

Author: Radmila Bulajich Manfrino

Publisher: Birkhäuser

Published: 2015-02-09

Total Pages: 319

ISBN-13: 331911946X

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The techniques presented here are useful for solving mathematical contest problems in algebra and analysis. Most of the examples and exercises that appear in the book originate from mathematical Olympiad competitions around the world. In the first four chapters the authors cover material for competitions at high school level. The level advances with the chapters. The topics explored include polynomials, functional equations, sequences and an elementary treatment of complex numbers. The final chapters provide a comprehensive list of problems posed at national and international contests in recent years, and solutions to all exercises and problems presented in the book. It helps students in preparing for national and international mathematical contests form high school level to more advanced competitions and will also be useful for their first year of mathematical studies at the university. It will be of interest to teachers in college and university level, and trainers of the mathematical Olympiads.

Topics in Algebra
Topics in Algebra

Author: I. N. Herstein

Publisher: John Wiley & Sons

Published: 1991-01-16

Total Pages: 405

ISBN-13: 0471010901

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

Advances in Algebra and Analysis
Advances in Algebra and Analysis

Author: V. Madhu

Publisher: Springer

Published: 2019-01-23

Total Pages: 473

ISBN-13: 3030011208

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This volume is the first of two containing selected papers from the International Conference on Advances in Mathematical Sciences, Vellore, India, December 2017 - Volume I. This meeting brought together researchers from around the world to share their work, with the aim of promoting collaboration as a means of solving various problems in modern science and engineering. The authors of each chapter present a research problem, techniques suitable for solving it, and a discussion of the results obtained. These volumes will be of interest to both theoretical- and application-oriented individuals in academia and industry. Papers in Volume I are dedicated to active and open areas of research in algebra, analysis, operations research, and statistics, and those of Volume II consider differential equations, fluid mechanics, and graph theory.

Applied Algebra and Functional Analysis
Applied Algebra and Functional Analysis

Author: Anthony N. Michel

Publisher: Courier Corporation

Published: 1993-01-01

Total Pages: 514

ISBN-13: 048667598X

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"A valuable reference." — American Scientist. Excellent graduate-level treatment of set theory, algebra and analysis for applications in engineering and science. Fundamentals, algebraic structures, vector spaces and linear transformations, metric spaces, normed spaces and inner product spaces, linear operators, more. A generous number of exercises have been integrated into the text. 1981 edition.

Algebra and Analysis for Engineers and Scientists
Algebra and Analysis for Engineers and Scientists

Author: Anthony N. Michel

Publisher: Springer Science & Business Media

Published: 2009-12-24

Total Pages: 500

ISBN-13: 0817647074

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Written for graduate and advanced undergraduate students in engineering and science, this classic book focuses primarily on set theory, algebra, and analysis. Useful as a course textbook, for self-study, or as a reference, the work is intended to familiarize engineering and science students with a great deal of pertinent and applicable mathematics in a rapid and efficient manner without sacrificing rigor. The book is divided into three parts: set theory, algebra, and analysis. It offers a generous number of exercises integrated into the text and features applications of algebra and analysis that have a broad appeal.

Abstract Algebra
Abstract Algebra

Author: Dan Saracino

Publisher: Waveland Press

Published: 2008-09-02

Total Pages: 320

ISBN-13: 1478610131

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The Second Edition of this classic text maintains the clear exposition, logical organization, and accessible breadth of coverage that have been its hallmarks. It plunges directly into algebraic structures and incorporates an unusually large number of examples to clarify abstract concepts as they arise. Proofs of theorems do more than just prove the stated results; Saracino examines them so readers gain a better impression of where the proofs come from and why they proceed as they do. Most of the exercises range from easy to moderately difficult and ask for understanding of ideas rather than flashes of insight. The new edition introduces five new sections on field extensions and Galois theory, increasing its versatility by making it appropriate for a two-semester as well as a one-semester course.

Inequalities
Inequalities

Author: Radmila Bulajich Manfrino

Publisher: Springer Science & Business Media

Published: 2010-01-01

Total Pages: 214

ISBN-13: 303460050X

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This book is intended for the Mathematical Olympiad students who wish to prepare for the study of inequalities, a topic now of frequent use at various levels of mathematical competitions. In this volume we present both classic inequalities and the more useful inequalities for confronting and solving optimization problems. An important part of this book deals with geometric inequalities and this fact makes a big difference with respect to most of the books that deal with this topic in the mathematical olympiad. The book has been organized in four chapters which have each of them a different character. Chapter 1 is dedicated to present basic inequalities. Most of them are numerical inequalities generally lacking any geometric meaning. However, where it is possible to provide a geometric interpretation, we include it as we go along. We emphasize the importance of some of these inequalities, such as the inequality between the arithmetic mean and the geometric mean, the Cauchy-Schwarz inequality, the rearrangementinequality, the Jensen inequality, the Muirhead theorem, among others. For all these, besides giving the proof, we present several examples that show how to use them in mathematical olympiad problems. We also emphasize how the substitution strategy is used to deduce several inequalities.

TOPICS IN ALGEBRA, 2ND ED
TOPICS IN ALGEBRA, 2ND ED

Author: I.N.Herstein

Publisher: John Wiley & Sons

Published: 2006

Total Pages: 396

ISBN-13: 9788126510184

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About The Book: This book on algebra includes extensive revisions of the material on finite groups and Galois Theory. Further more the book also contains new problems relating to Algebra.

Category Theory in Context
Category Theory in Context

Author: Emily Riehl

Publisher: Courier Dover Publications

Published: 2017-03-09

Total Pages: 273

ISBN-13: 0486820807

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Introduction to concepts of category theory — categories, functors, natural transformations, the Yoneda lemma, limits and colimits, adjunctions, monads — revisits a broad range of mathematical examples from the categorical perspective. 2016 edition.