COLLEGE ALGEBRA

Early in my teaching career, I realized two seemingly contradictory facts— that students are fully capable of understanding mathematical concepts but that many have had little success with mathematics. There are several reasons people struggle with mathematics. One is a weak background in basic mathematics. Most topics in mathematics are sequential. Weaknesses in any area will likely cause problems later. Another is that textbooks tend to present too many concepts at once, keeping students from being able to absorb them. I wrote this book (as well as my previous book, Algebra Demystified) with these issues in mind. Each section is short, containing exactly one new concept. This gives you a chance to absorb the material. Also, I have included detailed examples and solutions so that you can concentrate on the new lesson without being distracted by missing steps. The extra detail will also help you to review important skills.

CONTENTS

Preface

1. Completing the Square
2. Absolute Value Equations and Inequalities
3. The x y Coordinate Plane
4. Lines and Parabolas
5. Nonlinear Inequalities
6. Functions
7. Quadratic Functions
8. Transformations and Combinations
9. Polynomial Functions
10. Systems of Equations and Inequalities
11. Exponents and Logarithms

Final Exam
Index
v

Páginas : 457
Peso : 2mb.
Formato : PDF.
Edición : Primera
Año de Publicación :2004
Editorial : McGraw-Hill
Autor: Rhonda Huettenmueller


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ADVACEND ALGEBRA

Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Advanced Algebra includes chapters on modern algebra which treat various topics in commutative and noncommutative algebra and provide introductions to the theory of associative algebras, homological algebras, algebraic number theory, and algebraic geometry. Many examples and hundreds of problems are included, along with hints or complete solutions for most of the problems. Together the two books give the reader a global view of algebra and its role in mathematics as a whole

CONTENTS
Preface
List of Figures
Dependence among Chapters
Guide for the Reader
Notation and Terminology

I. Transition to modern number theory
II. Wedderburn–artin ring theory
III. Brauer group
IV. Homological algebra
V. Three theorems in algebraic number theory
VI. Reinterpretationwith adeles and ideles
VII. Infinite field extensions
VIII. Background for algebraic geometry
IX. The number theory of algebraic curves
X. Methods of algebraic geometry
XI. Methods of algebraic geometry (continued)

Páginas : 753
Peso : 5mb.
Formato : PDF.
Edición : Primera
Año de Publicación :2008
ISBN : 978-0-8176-4533-5
Editorial : Birkhäuser
Autor: Anthony W. Knapp

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A COURSE IN UNIVERSAL ALGEBRA

The book is excellent introduction to Universal Algebra. In fact, I cannot imagine a person studying the subject who is not familiar with this (already) classic book. The only bad part is that it is impossible to find.

CONTENTS
Special Notation
Preliminaries

I Lattices
II The Elements of Universal Algebra 25
III Selected Topics
IV Starting from Boolean Algebras
V Connections with Model Theory

Recent Developments and Open Problems
Bibliography
Author Index
Subject Index

Páginas : 331
Peso : 1mb.
Formato : PDF.
Edición : Primera
Año de Publicación :1982
ISBN : 0387905782
Editorial : Springer
Autor Stanley Burris, H. P. Sankappanavar

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SHAPE AND SHAPE THEORY

Everyone knows what is meant by ‘shape’. However, it is not a trivial matter to define shape in a manner that is susceptible to mathematical and statistical analysis and it is only over the last two or three decades that appropriate definitions have been developed and studied. In this book we assume that the shape of an object is essentially captured by the shape of a finite subset of its points and, for the latter, we carry out much of the fundamental analysis that is likely to lie at the heart of further progress. Although this may seem a severe restriction, there is no theoretical limit to the number of points we consider and it has the significant advantage that the dimensions of the resulting shape spaces are always finite and only increase linearly with the number of points.

CONTENTS

Preface

1. Shapes and Shape Spaces
2. The Global Structure of Shape Spaces
3. Computing the Homology of Cell Complexes
4. A Chain Complex for Shape Spaces
5. The Homology Groups of Shape Spaces
6. Geodesics in Shape Spaces
7. The Riemannian Structure of Shape Spaces
8. Induced Shape-Measures
9. Mean Shapes and The Shape of the\Means
10. Visualising The Higher Dimensional Shape Spaces
11. General Shape Spaces
Appendix
Bibliography
Index

Páginas : 318
Peso : 13mb.
Formato : PDF.
Edición : 1 edition
Año de Publicación :1999
ISBN : 978-0471968238
Editorial : Wiley
Autor: D. G. Kendall, D. Barden, T. K. Carne

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