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Topics In Algebra And Analysis
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Book Synopsis Topics in Algebra and Analysis by : Radmila Bulajich Manfrino
Download or read book Topics in Algebra and Analysis written by Radmila Bulajich Manfrino and published by Birkhäuser. This book was released on 2015-02-09 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Topics in Algebra and Analysis by : Radmila Bulajich Manfrino
Download or read book Topics in Algebra and Analysis written by Radmila Bulajich Manfrino and published by Birkhäuser. This book was released on 2015-02-13 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Applied Algebra and Functional Analysis by : Anthony N. Michel
Download or read book Applied Algebra and Functional Analysis written by Anthony N. Michel and published by Courier Corporation. This book was released on 1993-01-01 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.
Author :Sterling K. Berberian Publisher :Springer Science & Business Media ISBN 13 :9780387984803 Total Pages :504 pages Book Rating :4.9/5 (848 download)
Book Synopsis Fundamentals of Real Analysis by : Sterling K. Berberian
Download or read book Fundamentals of Real Analysis written by Sterling K. Berberian and published by Springer Science & Business Media. This book was released on 2013-03-15 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is very well organized and clearly written and contains an adequate supply of exercises. If one is comfortable with the choice of topics in the book, it would be a good candidate for a text in a graduate real analysis course." -- MATHEMATICAL REVIEWS
Book Synopsis Algebra and Analysis for Engineers and Scientists by : Anthony N. Michel
Download or read book Algebra and Analysis for Engineers and Scientists written by Anthony N. Michel and published by Springer Science & Business Media. This book was released on 2009-12-24 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Topics in Algebra by : I. N. Herstein
Download or read book Topics in Algebra written by I. N. Herstein and published by John Wiley & Sons. This book was released on 1991-01-16 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: New edition includes extensive revisions of the material on finite groups and Galois Theory. New problems added throughout.
Book Synopsis Advances in Algebra and Analysis by : V. Madhu
Download or read book Advances in Algebra and Analysis written by V. Madhu and published by Springer. This book was released on 2019-01-23 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers by : P.M. Gadea
Download or read book Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers written by P.M. Gadea and published by Springer Science & Business Media. This book was released on 2009-12-12 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author :Radmila Bulajich Manfrino Publisher :Springer Science & Business Media ISBN 13 :303460050X Total Pages :214 pages Book Rating :4.0/5 (346 download)
Book Synopsis Inequalities by : Radmila Bulajich Manfrino
Download or read book Inequalities written by Radmila Bulajich Manfrino and published by Springer Science & Business Media. This book was released on 2010-01-01 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis All the Mathematics You Missed by : Thomas A. Garrity
Download or read book All the Mathematics You Missed written by Thomas A. Garrity and published by 清华大学出版社有限公司. This book was released on 2004 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Gabriel Daniel Villa Salvador Publisher :Springer Science & Business Media ISBN 13 :0817645152 Total Pages :658 pages Book Rating :4.8/5 (176 download)
Book Synopsis Topics in the Theory of Algebraic Function Fields by : Gabriel Daniel Villa Salvador
Download or read book Topics in the Theory of Algebraic Function Fields written by Gabriel Daniel Villa Salvador and published by Springer Science & Business Media. This book was released on 2007-10-10 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fields of algebraic functions of one variable appear in several areas of mathematics: complex analysis, algebraic geometry, and number theory. This text adopts the latter perspective by applying an arithmetic-algebraic viewpoint to the study of function fields as part of the algebraic theory of numbers. The examination explains both the similarities and fundamental differences between function fields and number fields, including many exercises and examples to enhance understanding and motivate further study. The only prerequisites are a basic knowledge of field theory, complex analysis, and some commutative algebra.
Book Synopsis Topics in Matrix Analysis by : Roger A. Horn
Download or read book Topics in Matrix Analysis written by Roger A. Horn and published by Cambridge University Press. This book was released on 1994-06-24 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book treats several topics in matrix theory not included in its predecessor volume, Matrix Analysis.
Book Synopsis Mathematical Analysis by : Andrew Browder
Download or read book Mathematical Analysis written by Andrew Browder and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Among the traditional purposes of such an introductory course is the training of a student in the conventions of pure mathematics: acquiring a feeling for what is considered a proof, and supplying literate written arguments to support mathematical propositions. To this extent, more than one proof is included for a theorem - where this is considered beneficial - so as to stimulate the students' reasoning for alternate approaches and ideas. The second half of this book, and consequently the second semester, covers differentiation and integration, as well as the connection between these concepts, as displayed in the general theorem of Stokes. Also included are some beautiful applications of this theory, such as Brouwer's fixed point theorem, and the Dirichlet principle for harmonic functions. Throughout, reference is made to earlier sections, so as to reinforce the main ideas by repetition. Unique in its applications to some topics not usually covered at this level.
Author :Terence Tao Publisher :Hindustan Book Agency and Indian National Science Academy ISBN 13 :9788185931944 Total Pages :0 pages Book Rating :4.9/5 (319 download)
Download or read book Analysis written by Terence Tao and published by Hindustan Book Agency and Indian National Science Academy. This book was released on 2009 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable for undergraduates who have already been exposed to calculus, this title includes material that starts at the very beginning - the construction of number systems and set theory, then goes on to the basics of analysis, through to power series, several variable calculus and Fourier analysis, and finally to the Lebesgue integral.
Book Synopsis Handbook of Analysis and Its Foundations by : Eric Schechter
Download or read book Handbook of Analysis and Its Foundations written by Eric Schechter and published by Academic Press. This book was released on 1996-10-24 with total page 907 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Analysis and Its Foundations is a self-contained and unified handbook on mathematical analysis and its foundations. Intended as a self-study guide for advanced undergraduates and beginning graduatestudents in mathematics and a reference for more advanced mathematicians, this highly readable book provides broader coverage than competing texts in the area. Handbook of Analysis and Its Foundations provides an introduction to a wide range of topics, including: algebra; topology; normed spaces; integration theory; topological vector spaces; and differential equations. The author effectively demonstrates the relationships between these topics and includes a few chapters on set theory and logic to explain the lack of examples for classical pathological objects whose existence proofs are not constructive. More complete than any other book on the subject, students will find this to be an invaluable handbook. Covers some hard-to-find results including: Bessagas and Meyers converses of the Contraction Fixed Point Theorem Redefinition of subnets by Aarnes and Andenaes Ghermans characterization of topological convergences Neumanns nonlinear Closed Graph Theorem van Maarens geometry-free version of Sperners Lemma Includes a few advanced topics in functional analysis Features all areas of the foundations of analysis except geometry Combines material usually found in many different sources, making this unified treatment more convenient for the user Has its own webpage: http://math.vanderbilt.edu/
Book Synopsis Topics in Algebraic Graph Theory by : Lowell W. Beineke
Download or read book Topics in Algebraic Graph Theory written by Lowell W. Beineke and published by Cambridge University Press. This book was released on 2004-10-04 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is no other book with such a wide scope of both areas of algebraic graph theory.
Book Synopsis TOPICS IN ALGEBRA, 2ND ED by : I.N.Herstein
Download or read book TOPICS IN ALGEBRA, 2ND ED written by I.N.Herstein and published by John Wiley & Sons. This book was released on 2006 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
