Kategoria BISAC: Mathematics >> Algebra - Elementary

Multiplicative invariant theory, as a research area in its own right within the wider spectrum of invariant theory, is of relatively recent vintage. The present text offers a coherent account of the basic results achieved thus far..

Multiplicative invariant theory is intimately tied to integral representations of finite groups. Therefore, the field has a predominantly discrete, algebraic flavor. Geometry, specifically the theory of algebraic groups, enters through Weyl groups and their root lattices as well as via character lattices of algebraic tori.

Throughout the text,...

This is the first book that comprehensively addresses dynamics with inequalities. The author develops the theory and application of dynamical systems that incorporate some kind of hard inequality constraint, such as mechanical systems with impact; electrical circuits with diodes (as diodes permit current flow in only one direction); and social and economic systems that involve natural or imposed limits (such as traffic flow, which can never be negative, or inventory, which must be stored within a given facility). Dynamics with Inequalities: Impacts and Hard Constraints demonstrates that hard...

Algebra can be like a foreign language, but ELEMENTARY AND INTERMEDIATE ALGEBRA, 5E, gives you the tools and practice you need to fully understand the language of algebra and the "why" behind problem solving. Using Strategy and Why explanations in worked examples and a six-step problem solving strategy, ELEMENTARY AND INTERMEDIATE ALGEBRA, 5E, will guide you through an integrated learning process that will expand your reasoning abilities as it teaches you how to read, write, and think mathematically. Feel confident about your skills through additional practice in the text and Enhanced...

This volume corresponds to the Banff International Research Station Workshop on Randomization, Relaxation, and Complexity, held from February 28-March 5, 2010 in Banff, Ontario, Canada. This volume contains a sample of advanced algorithmic techniques underpinning the solution of systems of polynomial equations. The papers are written by leading experts in algorithmic algebraic geometry and touch upon core topics such as homotopy methods for approximating complex solutions, robust floating point methods for clusters of roots, and speed-ups for counting real solutions. Vital related topics such...

This book is based on a capstone course that the author taught to upper division undergraduate students with the goal to explain and visualize the connections between different areas of mathematics and the way different subject matters flow from one another. In teaching his readers a variety of problem solving techniques as well, the author succeeds in enhancing the readers' hands on knowledge of mathematics and provides glimpses into the world of research and discovery. The connections between different techniques and areas of mathematics are emphasized throughout and constitute one of the...

Kaseberg/Cripe/Wildman's respected INTRODUCTORY ALGEBRA is known for an informal, interactive style that makes algebra more accessible to students while maintaining a high level of mathematical accuracy. This new edition introduces two new co-authors, Greg Cripe and Peter Wildman. The three authors have created a new textbook that introduces new pedagogy to teach students how to be better prepared to succeed in math and then life by strengthening their ability to solve critical-thinking problems. This text's popularity is attributable to the author's use of guided discovery, explorations, and...

In this innovative book, two experienced educators present a fresh and engaging approach to mathematics learning in the middle grades with the transition from arithmetic to algebra. The authors provide a collection of balanced, multi-dimensional assessment tasks designed to evaluate students ability to work with mathematical objects and perform mathematical actions.

This book is for young students Gifted or Advanced in math.

Students need the best teacher, thus, need examples, since examples are the best teacher.

So this is a book of examples, and all the examples are fully worked, and of course, help
you do math better.
And this book covers functions, and explains what a function is about, how it gets made,
what it does, how it works, and what we can do with it or how to use it.

So you will get the idea of a function, that is, the concept, and get to see how to work
with it, because the book explains, through examples,...

Presents examples of important techniques and theorems for Groups, Lie groups and Lie algebras. This book helps the reader to gain understandings and insights through practice. It provides applications of these topics in physics and engineering.

This book is for young students Gifted or Advanced in math.

Students need the best teacher, so you need examples, because examples are the best
teacher. All the examples in this book are fully worked, and of course, help you do math
better. And this book is about factorizations of polynomials, that is, factoring
polynomials. So the book explains how to manipulate polynomials, that is, how to
change or alter, convert, or modify expressions so that you can come up with the ones
you need. The ones are solutions, of course. And that's what polynomial factorizations
...

This book is for young students Gifted or Advanced in math.

This book explains what powers and logarithms are about and how to manipulate those
expressions, that is, how to change or alter, convert, or modify those so that you can
come up with the ones that you need. The ones are solutions, of course. And that's what
this book is about. This book does not just explain though. But it helps follow steps to
the solutions, too, so that you can get the sense of calculations with powers and
logarithms and see what you are doing when you do such calculations.

And this...

In this book we want to explore aspects of coherence in homological algebra, that already appear in the classical situation of abelian groups or abelian categories. Lattices of subobjects are shown to play an important role in the study of homological systems, from simple chain complexes to all the structures that give rise to spectral sequences. A parallel role is played by semigroups of endorelations. These links rest on the fact that many such systems, but not all of them, live in distributive sublattices of the modular lattices of subobjects of the system. The property of distributivity...

This book serves as a reference on links and on the invariants derived via algebraic topology from covering spaces of link exteriors. It emphasizes the features of the multicomponent case not normally considered by knot-theorists, such as longitudes, the homological complexity of many-variable Laurent polynomial rings, the fact that links are not usually boundary links, free coverings of homology boundary links, the lower central series as a source of invariants, nilpotent completion and algebraic closure of the link group, and disc links. Invariants of the types considered here play an...

x mannsche P-Funktion ist. Urn die Gleichungen zu erhalten, die die Parameter def P-Funktion bestimmen, hat man die aus den Koeffizienten p(x), q(x) und e(x) des Eigenwertproblems (E. l) gebildete Funktion der Veranderlichen x p')2 p" q-Ae] 2 [( (E. 4) Sex) = x 2p - 2p - -- mit einer Funktion E( ) der Variablen zu vergleichen, deren Koeffizien ten nur von h sowie den Parametern abhangen, die in unserem FaIle in der gewohnIichen Riemannschen P-Funktion. auftreten. Nach even tueller Durchftihrung einer Partialbruchzerlegung ergeben sich, h sowie die Parameter der P-Funktion aus algebraischen...

Larson IS student success. INTERMEDIATE ALGEBRA: ALGEBRA WITHIN REACH owes its success to the hallmark features for which the Larson team is known: learning by example, a straightforward and accessible writing style, emphasis on visualization through the use of graphs to reinforce algebraic and numeric solutions and to interpret data, and comprehensive exercise sets. These pedagogical features are carefully coordinated to ensure that students are better able to make connections between mathematical concepts and understand the content. With a bright, appealing design, the new Sixth Edition...

On the Higher-Order Sheffer Orthogonal Polynomial Sequences sheds light on the existence/non-existence of B-Type 1 orthogonal polynomials. This book presents a template for analyzing potential orthogonal polynomial sequences including additional higher-order Sheffer classes. This text not only shows that there are no OPS for the special case the B-Type 1 class, but that there are no orthogonal polynomial sequences for the general B-Type 1 class as well. Moreover, it is quite provocative how the seemingly subtle transition from the B-Type 0 class to the B-Type 1 class leads to a drastically...

We propose here a study of 'semiexact' and 'homological' categories as a basis for a generalised homological algebra. Our aim is to extend the homological notions to deeply non-abelian situations, where satellites and spectral sequences can still be studied. This is a sequel of a book on 'Homological Algebra, The interplay of homology with distributive lattices and orthodox semigroups', published by the same Editor, but can be read independently of the latter. The previous book develops homological algebra in p-exact categories, i.e. exact categories in the sense of Puppe and Mitchell - a...