Download or read book Lectures On Algebra Volume 1 written by Shreeram Shankar Abhyankar and published by World Scientific. This book was released on 2006-07-31 with total page 758 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a timely survey of much of the algebra developed during the last several centuries including its applications to algebraic geometry and its potential use in geometric modeling.The present volume makes an ideal textbook for an abstract algebra course, while the forthcoming sequel, Lectures on Algebra II, will serve as a textbook for a linear algebra course. The author's fondness for algebraic geometry shows up in both volumes, and his recent preoccupation with the applications of group theory to the calculation of Galois groups is evident in the second volume which contains more local rings and more algebraic geometry. Both books are based on the author's lectures at Purdue University over the last few years.

Download or read book The A to Z of Mathematics written by Thomas H. Sidebotham and published by John Wiley & Sons. This book was released on 2003-04-14 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Forget the jargon. Forget the anxiety. Just remember themath. In this age of cheap calculators and powerful spreadsheets, whoneeds to know math? The answer is: everyone. Math is all around us.We confront it shopping in the supermarket, paying our bills,checking the sports stats, and working at our jobs. It is also oneof the most fascinating-and useful-subjects. Mastering math canmake a difference in your career, your studies, and your dailylife. If you are among the millions of people who would love tounderstand math but are turned away by fear of its complexity, hereis your salvation. The A to Z of Mathematics makes math simplewithout making it simplistic. Both easy to use and easy to read,the book covers all the topics in basic mathematics. You'll learnthe definitions of such terms as "proportion"and "hexomino," andgrasp the concepts behind algebra, statistics, and other processes.The book's alphabetical arrangement helps you quickly home in onany topic, and its text is rich with stimulating examples,diagrams, and other illustrations that make the discussion crystalclear to every reader. Everyone will find something of interest inthis wide-ranging guide to mathematics. The perfect antidote to math anxiety, this is an invaluableresource for parents and students, home schoolers, teachers, andanyone else who wants to improve his or her math skills anddiscover the amazing relevance of mathematics to the world aroundus.

Download or read book Algebraic Groups and Number Theory Volume 1 written by Vladimir Platonov and published by Cambridge University Press. This book was released on 2023-08-31 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of this book provided the first systematic exposition of the arithmetic theory of algebraic groups. This revised second edition, now published in two volumes, retains the same goals, while incorporating corrections and improvements, as well as new material covering more recent developments. Volume I begins with chapters covering background material on number theory, algebraic groups, and cohomology (both abelian and non-abelian), and then turns to algebraic groups over locally compact fields. The remaining two chapters provide a detailed treatment of arithmetic subgroups and reduction theory in both the real and adelic settings. Volume I includes new material on groups with bounded generation and abstract arithmetic groups. With minimal prerequisites and complete proofs given whenever possible, this book is suitable for self-study for graduate students wishing to learn the subject as well as a reference for researchers in number theory, algebraic geometry, and related areas.

Download or read book Groups of Prime Power Order Volume 1 written by Yakov Berkovich and published by Walter de Gruyter. This book was released on 2008-12-10 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first of three volumes of a comprehensive and elementary treatment of finite p-group theory. Topics covered in this monograph include: (a) counting of subgroups, with almost all main counting theorems being proved, (b) regular p-groups and regularity criteria, (c) p-groups of maximal class and their numerous characterizations, (d) characters of p-groups, (e) p-groups with large Schur multiplier and commutator subgroups, (f) (p‒1)-admissible Hall chains in normal subgroups, (g) powerful p-groups, (h) automorphisms of p-groups, (i) p-groups all of whose nonnormal subgroups are cyclic, (j) Alperin's problem on abelian subgroups of small index. The book is suitable for researchers and graduate students of mathematics with a modest background on algebra. It also contains hundreds of original exercises (with difficult exercises being solved) and a comprehensive list of about 700 open problems.

Download or read book Elementary Abstract Algebra Examples and Applications Volume 1 Foundations written by Justin Hill and published by Lulu.com. This book was released on 2018-08-22 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is not intended for budding mathematicians. It was created for a math program in which most of the students in upper-level math classes are planning to become secondary school teachers. For such students, conventional abstract algebra texts are practically incomprehensible, both in style and in content. Faced with this situation, we decided to create a book that our students could actually read for themselves. In this way we have been able to dedicate class time to problem-solving and personal interaction rather than rehashing the same material in lecture format.

Download or read book Algebra 1 Workbook written by Richard Carter and published by Independently Published. This book was released on 2018-12-03 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: *IF YOU BUY THE PAPER VERSION YOU GET THE KINDLE VERSION FOR FREE* ⭐⭐⭐ Algebra 1 Workbook ⭐⭐⭐ This book contains: Basic operations, number and integers, properties, rules and tips Monomials, Binomials and Polynomials operations How to find Least Common Multiple and Greatest Common Factor, Factorization and Prime Numbers Different types of expressions, and related ways of solutions Different types of equations, Inequalities and Functions with the related ways of solutions Many exercises the reader can do for each different argument with related explanations and solutions Algebra is a very noteworthy subfield of mathematics in its versatility alone if nothing else. You will be hard-pressed to find one single area of mathematics that is taught after algebra in which algebra is not practiced in almost every situation. The most general and the most commonly used definition of algebra is the study of mathematical symbols as well as the study of the manipulation of these symbols. Mathematical symbols are one of the most basic elements of mathematics, aside from numbers themselves and operation symbols, so the study of these symbols is one of the most important studies that one can take up as far as mathematics is concerned. To that end, in this book, you will find some of the most important topics regarding algebra. These include but are not limited to the following: understanding integers and basic operations, inequalities and one-step operations; fractions and factors; the main rules of arithmetic; linear equations in the coordinate plane, expressions, equations and functions; real numbers; solving linear equations; visualizing linear functions, linear equations, linear inequalities, systems of linear equations and inequalities; exponents and exponential function; polynomials, quadratic equations, radical expression, radical equations, rational expressions; and finally, intermediate topics in algebra.

Download or read book Graduate Course In Algebra A Volume 1 written by Ioannis Farmakis and published by World Scientific Publishing Company. This book was released on 2017-06-29 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive two-volume book deals with algebra, broadly conceived. Volume 1 (Chapters 1-6) comprises material for a first year graduate course in algebra, offering the instructor a number of options in designing such a course. Volume 1, provides as well all essential material that students need to prepare for the qualifying exam in algebra at most American and European universities. Volume 2 (Chapters 7-13) forms the basis for a second year graduate course in topics in algebra. As the table of contents shows, that volume provides ample material accommodating a variety of topics that may be included in a second year course. To facilitate matters for the reader, there is a chart showing the interdependence of the chapters.

Download or read book Groups St Andrews 2005 Volume 1 written by C. M. Campbell and published by Cambridge University Press. This book was released on 2007-01-04 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: Selected papers from 'Groups St Andrews 2005' cover a wide spectrum of modern group theory.

Download or read book Symmetries of Algebras Volume 1 written by Chelsea Walton and published by 619 Wreath Publishing. This book was released on 2024-07-08 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume of a graduate-level textbook series in the area of Algebraic Quantum Symmetry. The focus of this book series is on how one can do abstract algebra in the setting of monoidal categories. It is intended for readers who are familiar with abstract vector spaces, groups, rings, and ideals, and the author takes care in introducing categorical concepts from scratch. This book series on Symmetries of Algebras is intended to serve as learning books to newcomers to the area of research, and a carefully curated list of additional textbooks and articles are featured at the end of each chapter for further exploration. There are also numerous exercises throughout the series, with close to 200 exercises in Volume 1 alone. If you enjoy algebra, and are curious about how it fits into a broader context, this is for you.

Download or read book A Book of Abstract Algebra written by Charles C Pinter and published by Courier Corporation. This book was released on 2010-01-14 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.

Download or read book Basic Algebra I written by Nathan Jacobson and published by Courier Corporation. This book was released on 2012-12-11 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: A classic text and standard reference for a generation, this volume covers all undergraduate algebra topics, including groups, rings, modules, Galois theory, polynomials, linear algebra, and associative algebra. 1985 edition.

Download or read book Applied and Computational Complex Analysis Volume 1 written by Peter Henrici and published by John Wiley & Sons. This book was released on 1988-02-23 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents applications as well as the basic theory of analytic functions of one or several complex variables. The first volume discusses applications and basic theory of conformal mapping and the solution of algebraic and transcendental equations. Volume Two covers topics broadly connected with ordinary differental equations: special functions, integral transforms, asymptotics and continued fractions. Volume Three details discrete fourier analysis, cauchy integrals, construction of conformal maps, univalent functions, potential theory in the plane and polynomial expansions.

Download or read book Selected Exercises in Algebra written by Rocco Chirivì and published by Springer Nature. This book was released on 2020-01-29 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, the first of two volumes, contains over 250 selected exercises in Algebra which have featured as exam questions for the Arithmetic course taught by the authors at the University of Pisa. Each exercise is presented together with one or more solutions, carefully written with consistent language and notation. A distinguishing feature of this book is the fact that each exercise is unique and requires some creative thinking in order to be solved. The themes covered in this volume are: mathematical induction, combinatorics, modular arithmetic, Abelian groups, commutative rings, polynomials, field extensions, finite fields. The book includes a detailed section recalling relevant theory which can be used as a reference for study and revision. A list of preliminary exercises introduces the main techniques to be applied in solving the proposed exam questions. This volume is aimed at first year students in Mathematics and Computer Science.

Download or read book Iwasawa Theory and Its Perspective Volume 1 written by Tadashi Ochiai and published by American Mathematical Society. This book was released on 2023-05-03 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: Iwasawa theory began in the late 1950s with a series of papers by Kenkichi Iwasawa on ideal class groups in the cyclotomic tower of number fields and their relation to $p$-adic $L$-functions. The theory was later generalized by putting it in the context of elliptic curves and modular forms. The main motivation for writing this book was the need for a total perspective of Iwasawa theory that includes the new trends of generalized Iwasawa theory. Another motivation of this book is an update of the classical theory for class groups taking into account the changed point of view on Iwasawa theory. The goal of this first part of the two-part publication is to explain the theory of ideal class groups, including its algebraic aspect (the Iwasawa class number formula), its analytic aspect (Leopoldt–Kubota $L$-functions), and the Iwasawa main conjecture, which is a bridge between the algebraic and the analytic aspects. The second part of the book will be published as a separate volume in the same series, Mathematical Surveys and Monographs of the American Mathematical Society.

Download or read book Real Algebraic Varieties written by Frédéric Mangolte and published by Springer Nature. This book was released on 2020-09-21 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a systematic presentation of real algebraic varieties. Real algebraic varieties are ubiquitous.They are the first objects encountered when learning of coordinates, then equations, but the systematic study of these objects, however elementary they may be, is formidable. This book is intended for two kinds of audiences: it accompanies the reader, familiar with algebra and geometry at the masters level, in learning the basics of this rich theory, as much as it brings to the most advanced reader many fundamental results often missing from the available literature, the “folklore”. In particular, the introduction of topological methods of the theory to non-specialists is one of the original features of the book. The first three chapters introduce the basis and classical methods of real and complex algebraic geometry. The last three chapters each focus on one more specific aspect of real algebraic varieties. A panorama of classical knowledge is presented, as well as major developments of the last twenty years in the topology and geometry of varieties of dimension two and three, without forgetting curves, the central subject of Hilbert's famous sixteenth problem. Various levels of exercises are given, and the solutions of many of them are provided at the end of each chapter.

Download or read book Banach Algebras and the General Theory of Algebras Volume 1 Algebras and Banach Algebras written by Theodore W. Palmer and published by Cambridge University Press. This book was released on 1994-03-25 with total page 820 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume of a two volume set that provides a modern account of basic Banach algebra theory including all known results on general Banach *-algebras. This account emphasizes the role of *-algebraic structure and explores the algebraic results that underlie the theory of Banach algebras and *-algebras. The first volume, which contains previously unpublished results, is an independent, self-contained reference on Banach algebra theory. Each topic is treated in the maximum interesting generality within the framework of some class of complex algebras rather than topological algebras. Proofs are presented in complete detail at a level accessible to graduate students. The book contains a wealth of historical comments, background material, examples, particularly in noncommutative harmonic analysis, and an extensive bibliography. Volume II is forthcoming.

Download or read book Modern Trends in Algebra and Representation Theory written by David Jordan and published by Cambridge University Press. This book was released on 2023-07-31 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Expanding upon the material delivered during the LMS Autumn Algebra School 2020, this volume reflects the fruitful connections between different aspects of representation theory. Each survey article addresses a specific subject from a modern angle, beginning with an exploration of the representation theory of associative algebras, followed by the coverage of important developments in Lie theory in the past two decades, before the final sections introduce the reader to three strikingly different aspects of group theory. Written at a level suitable for graduate students and researchers in related fields, this book provides pure mathematicians with a springboard into the vast and growing literature in each area.