Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Integers, Polynomials, and Rings PDF full book. Access full book title Integers, Polynomials, and Rings by Ronald S. Irving. Download full books in PDF and EPUB format.
Author: Ronald S. Irving Publisher: Springer Science & Business Media ISBN: 0387403973 Category : Mathematics Languages : en Pages : 283
Book Description
This book began life as a set of notes that I developed for a course at the University of Washington entitled Introduction to Modern Algebra for Tea- ers. Originally conceived as a text for future secondary-school mathematics teachers, it has developed into a book that could serve well as a text in an - dergraduatecourseinabstractalgebraoracoursedesignedasanintroduction to higher mathematics. This book di?ers from many undergraduate algebra texts in fundamental ways; the reasons lie in the book’s origin and the goals I set for the course. The course is a two-quarter sequence required of students intending to f- ?ll the requirements of the teacher preparation option for our B.A. degree in mathematics, or of the teacher preparation minor. It is required as well of those intending to matriculate in our university’s Master’s in Teaching p- gram for secondary mathematics teachers. This is the principal course they take involving abstraction and proof, and they come to it with perhaps as little background as a year of calculus and a quarter of linear algebra. The mathematical ability of the students varies widely, as does their level of ma- ematical interest.
Author: Ronald S. Irving Publisher: Springer Science & Business Media ISBN: 0387403973 Category : Mathematics Languages : en Pages : 283
Book Description
This book began life as a set of notes that I developed for a course at the University of Washington entitled Introduction to Modern Algebra for Tea- ers. Originally conceived as a text for future secondary-school mathematics teachers, it has developed into a book that could serve well as a text in an - dergraduatecourseinabstractalgebraoracoursedesignedasanintroduction to higher mathematics. This book di?ers from many undergraduate algebra texts in fundamental ways; the reasons lie in the book’s origin and the goals I set for the course. The course is a two-quarter sequence required of students intending to f- ?ll the requirements of the teacher preparation option for our B.A. degree in mathematics, or of the teacher preparation minor. It is required as well of those intending to matriculate in our university’s Master’s in Teaching p- gram for secondary mathematics teachers. This is the principal course they take involving abstraction and proof, and they come to it with perhaps as little background as a year of calculus and a quarter of linear algebra. The mathematical ability of the students varies widely, as does their level of ma- ematical interest.
Author: A. O. Gelfond Publisher: Courier Dover Publications ISBN: 048682988X Category : Mathematics Languages : en Pages : 80
Book Description
Covering applications to physics and engineering as well, this relatively elementary discussion of algebraic equations with integral coefficients and with more than one unknown will appeal to students and mathematicians from high school level onward. 1961 edition.
Author: E. Grosswald Publisher: Springer Science & Business Media ISBN: 1461385660 Category : Mathematics Languages : en Pages : 262
Book Description
During the academic year 1980-1981 I was teaching at the Technion-the Israeli Institute of Technology-in Haifa. The audience was small, but con sisted of particularly gifted and eager listeners; unfortunately, their back ground varied widely. What could one offer such an audience, so as to do justice to all of them? I decided to discuss representations of natural integers as sums of squares, starting on the most elementary level, but with the inten tion of pushing ahead as far as possible in some of the different directions that offered themselves (quadratic forms, theory of genera, generalizations and modern developments, etc.), according to the interests of the audience. A few weeks after the start of the academic year I received a letter from Professor Gian-Carlo Rota, with the suggestion that I submit a manuscript for the Encyclopedia of Mathematical Sciences under his editorship. I answered that I did not have a ready manuscript to offer, but that I could use my notes on representations of integers by sums of squares as the basis for one. Indeed, about that time I had already started thinking about the possibility of such a book and had, in fact, quite precise ideas about the kind of book I wanted it to be.
Author: Bruce M. Landman Publisher: American Mathematical Soc. ISBN: 0821898671 Category : Mathematics Languages : en Pages : 409
Book Description
Ramsey theory is the study of the structure of mathematical objects that is preserved under partitions. In its full generality, Ramsey theory is quite powerful, but can quickly become complicated. By limiting the focus of this book to Ramsey theory applied to the set of integers, the authors have produced a gentle, but meaningful, introduction to an important and enticing branch of modern mathematics. Ramsey Theory on the Integers offers students a glimpse into the world of mathematical research and the opportunity for them to begin pondering unsolved problems. For this new edition, several sections have been added and others have been significantly updated. Among the newly introduced topics are: rainbow Ramsey theory, an "inequality" version of Schur's theorem, monochromatic solutions of recurrence relations, Ramsey results involving both sums and products, monochromatic sets avoiding certain differences, Ramsey properties for polynomial progressions, generalizations of the Erdős-Ginzberg-Ziv theorem, and the number of arithmetic progressions under arbitrary colorings. Many new results and proofs have been added, most of which were not known when the first edition was published. Furthermore, the book's tables, exercises, lists of open research problems, and bibliography have all been significantly updated. This innovative book also provides the first cohesive study of Ramsey theory on the integers. It contains perhaps the most substantial account of solved and unsolved problems in this blossoming subject. This breakthrough book will engage students, teachers, and researchers alike.
Author: Bright Tutee Publisher: Bright Tutee ISBN: Category : Education Languages : en Pages : 7
Book Description
The chapter-wise NCERT solutions prove very beneficial in understanding a chapter and also in scoring marks in internal and final exams. Our teachers have explained every exercise and every question of chapters in detail and easy to understand language. You can get access to these solutions in Ebook. Download chapter-wise NCERT Solutions now! These NCERT solutions are comprehensive which helps you greatly in your homework and exam preparations. so you need not purchase any guide book or any other study material. Now, you can study better with our NCERT chapter-wise solutions of English Literature. You just have to download these solutions. The CBSE (???????) NCERT(?????????) solutions for Class 6th Mathematics prepared by Bright Tutee team helps you prepare the chapter from the examination point of view. The topics covered in the chapter include free fall, mass and weight, and thrust and pressure. All you have to do is download the solutions from our website. NCERT Solutions for Class 6th Mathematics This valuable resource is a must-have for CBSE class 6th students and is available. Some of the added benefits of this resource are:- - Better understanding of the chapter - Access to all the answers of the chapter - Refer the answers for a better exam preparation - You are able to finish your homework faster The CBSE NCERT solutions are constantly reviewed by our panel of experts so that you always get the most updated solutions. Start your learning journey by downloading the chapter-wise solution. At Bright Tutee, we make learning engrossing by providing you video lessons. In these lessons, our teachers use day to day examples to teach you the concepts. They make learning easy and fun. Apart from video lessons, we also give you MCQs, assignments and an exam preparation kit. All these resources help you get at least 30-40 percent more marks in your exams.
Author: Thomas L. Saaty Publisher: RWS Publications ISBN: 1888603372 Category : Business & Economics Languages : en Pages : 310
Book Description
This text, the first of its kind, surveys the entire field of optimization in integers. It is designed for students of mathematics, engineering, science, social science, and operations research. It will stimulate and excite the reader's interest in the elementary methods and ideas. of discrete optimization and related problems. The text presents the current theories and a wide variety of examples and applications of optimization in integers in both geometric end algebraic settings. Coverage is given to a wide class of problems and the ways in which they may be handled. The text includes numerous exercises and illustrations.
Author: J. M. de Koninck Publisher: American Mathematical Soc. ISBN: 9780821870419 Category : Mathematics Languages : en Pages : 316
Book Description
The book is mostly devoted to the study of the prime factors of integers, their size and their quantity, to good bounds on the number of integers with different properties (for example, those with only large prime factors) and to the distribution of divisors of integers in a given interval. In particular, various estimates concerning smooth numbers are developed. A large emphasis is put on the study of additive and multiplicative functions as well as various arithmetic functionssuch as the partition function. More specific topics include the Erdos-Kac Theorem, cyclotomic polynomials, combinatorial methods, quadratic forms, zeta functions, Dirichlet series and $L$-functions. All these create an intimate understanding of the properties of integers and lead to fascinating andunexpected consequences. The volume includes contributions from leading participants in this active area of research, such as Kevin Ford, Carl Pomerance, Kannan Soundararajan and Gerald Tenenbaum.
Author: Ronald S. Irving
Author: Ronald S. Irving
Author: Joe Roberts
Author: A. O. Gelfond
Author: Richard Dedekind
Author: E. Grosswald
Author: Serge Lang
Author: Bruce M. Landman
Author: Bright Tutee
Author: Thomas L. Saaty
Author: J. M. de Koninck