Algebra for High School
This book provides students with a tool to improve their knowledge in preparation to learning Mathematics. This book is intended to be a quick review of the Linear Equations and Inequalities. The book follows the main precalculus concepts needed in order to understand High School Algebra. It starts with the Cartesian System, then Straight lines, Linear Equations, and Linear Inequalities. It explains concepts as distance between points, slope of a line, solving linear one step and multi step equations, parallel and perpendicular lines, solving one step and multistep inequalities. This is the first book on the High School Algebra.
A First Course in Group Theory
Preliminaries Notions.- Symmetries of Shapes.- Binary Operations.- Cyclic Groups.- Inverse Functions and Permutations.- Group of Arithmetical Functions.- Matrix Groups.- Translation and Scaling Matrices.- Cosets of Subgroups and Lagrange's Theorem.- Normal Subgroups and Factor Groups.- Some Special Subgroups.- Commutators and Derived Subgroups.- Maximal Subgroups.- Group Homomorphisms.- Homomorphisms and Their Properties.- Cayley's Theorem.- Another View of Linear Groups.
Homological Theory of Representations
Modern developments in representation theory rely heavily on homological methods. This book for advanced graduate students and researchers introduces these methods from their foundations up and discusses several landmark results that illustrate their power and beauty. Categorical foundations include abelian and derived categories, with an emphasis on localisation, spectra, and purity. The representation theoretic focus is on module categories of Artin algebras, with discussions of the representation theory of finite groups and finite quivers. Also covered are Gorenstein and quasi-hereditary algebras, including Schur algebras, which model polynomial representations of general linear groups, and the Morita theory of derived categories via tilting objects. The final part is devoted to a systematic introduction to the theory of purity for locally finitely presented categories, covering pure-injectives, definable subcategories, and Ziegler spectra. With its clear, detailed exposition of important topics in modern representation theory, many of which were unavailable in one volume until now, it deserves a place in every representation theorist's library.
Direct and Inverse Finite-Dimensional Spectral Problems on Graphs
Considering that the motion of strings with finitely many masses on them is described by difference equations, this book presents the spectral theory of such problems on finite graphs of strings. The direct problem of finding the eigenvalues as well as the inverse problem of finding strings with a prescribed spectrum are considered. This monograph gives a comprehensive and self-contained account on the subject, thereby also generalizing known results. The interplay between the representation of rational functions and their zeros and poles is at the center of the methods used. The book also unravels connections between finite dimensional and infinite dimensional spectral problems on graphs, and between self-adjoint and non-self-adjoint finite-dimensional problems. This book is addressed to researchers in spectral theory of differential and difference equations as well as physicists and engineers who may apply the presented results and methods to their research.
The Theory Of Ruled Surfaces
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Elements of the Topology of Plane Sets of Points
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The Pharmacological Assay of Digitalis by Different Methods
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Introduction to Logic and Sets
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Sets, Sequences, and Mappings
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Equations and Graphs; a Handbook of Algebraic Techniques
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The Continuum and Other Types of Serial Order; With an Introduction to Cantor’s Transfinite Numbers. --
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Sets, Sequences, and Mappings
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Matrix Iterative Analysis. --; 3
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Elements of Vector Analysis
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Epidemiology, Old and New
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Modern Algebra. In Part a Development From Lectures by E. Artin and E. Noether; Translated From the 2d Rev. German Ed. by Fred Blum, With Revisions and Additions by the Author; 1
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A Comparison of the Competence in Algebra of the Grade IX Students of the Edmonton Public Schools in 1938 and 1959
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Recursive Analysis
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Matrix Iterative Analysis. --; 3
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Advanced Vector Analysis, With Application to Mathematical Physics
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Notes on Algebra [microform]
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The Continuum and Other Types of Serial Order; With an Introduction to Cantor’s Transfinite Numbers. --
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Foundations of Analysis; the Arithmetic of Whole, Rational, Irrational, and Complex Numbers
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Introduction to Logic and Sets
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Elementary Algegra
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Algebraic Analysis [microform]
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Basic Concepts in Algebra I
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A Key and Companion to the Rudimentary Algebra Forming an Extensive Repository of Solved Examples and Problems, in Illustration of the Various Expedients Necessary in Algebrical Operations by J. R. Yo
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On a Special Polyadic of Order N-p Which Can Be Derived From Any P Independent Vectors in an N-dimensional Space and Which Can Be Regarded as a Generalization of the Vector Product
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Algebra Examination Papers for Admission to Harvard, Yale, Amherst, Dartmouth, Brown, and to the Mass. Institute of Technology, From June, 1878, to Sept. 1889 Inclusive
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Recursive Analysis
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Algebraic Analysis [microform]
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Elementary Algegra
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Algebra: Advanced Mathematics
Algebra is one of the major branches of mathematics which studies mathematical symbols and the rules used for handling these symbols. It deals with numerous concepts such as elementary equations and abstractions such as groups, rings and fields. There are two subdomains within algebra, namely, elementary algebra and abstract algebra. Elementary algebra is the basic part of algebra and it is used in different branches of mathematics, science, engineering, medicine and economics. Advanced mathematics is a major area in abstract algebra. This book provides comprehensive insights into the field of algebra. The various advancements in this discipline are glanced at and their applications as well as ramifications are looked at in detail. The extensive content of this book provides the readers with a thorough understanding of the subject.
Advanced Algebra
Algebra is a sub-division of mathematics that involves elementary equation solving and study of abstractions. Advanced algebra or abstract algebra is the study of algebraic structures such as groups, rings, fields, vector spaces, lattices, etc. Algebraic structures that involve single binary operations are magma, group, semigroup, monoid and quasigroup. Fields, modules, vector spaces, lie algebra, lattice, Boolean algebra, etc. are all examples of algebraic structures that involve several operations. This book is a compilation of chapters that discuss the most vital concepts and emerging trends in the field of advanced algebra. Such selected concepts that redefine this discipline have been presented in this book. It will serve as a valuable source of reference for graduate and post graduate students as well as experts.
Quick(er) Calculations
Finalist of the 2022 PROSE Awards How fast can you calculate? Would you like to be faster? This book presents the time honored tricks and tips of calculation, from a fresh perspective, to boost the speed at which you can add -- whether a couple of numbers, or columns so long an accountant may faint. Find out how to subtract, multiply, divide, and find square roots more quickly. What's more, this book gives suggestions for how to find answers that are "good enough" for tricky tasks like dividing by 17. It includes brand new ways to multiply and divide irrational numbers such as pi, e, the square root of 2, and the golden ratio. It has sections devoted to ancient mathematics, and the techniques we can borrow from previous and other cultures, in order to calculate more quickly. Examples, some serious, some fun, come from everyday life or from history -- like hot dog eating competitions, the Vatican's cricket team, the molecular weight of the molecule with the world's longest name, and the amount of people taken by Henry VIII to arguably history's biggest party, the Field of the Cloth of Gold. In an age of timed multiple-choice questions, the swifter you can sum, or rule out wrong answers, the better you will do. If you love to play with numbers, this book will be recreational reading. And if you ever wonder whether simple arithmetic problems can crop up in everyday life, this book provides a fresh perspective.
Annual Report; 2011-2012
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Lie Groups: Quantization (Volume 2)
A group is a collection of symmetries of any object, and each group is the symmetries of some object. Lie groups are groups whose elements are organized continuously and smoothly, making them differentiable manifolds. This is in contrast to discrete groups, where the elements are separated. A Lie group is a continuous group whose elements are described by several real parameters. As such, they provide a natural model for the concept of continuous symmetry, such as rotational symmetry in three dimensions. The real motivation for introducing Lie groups was to model the continuous symmetries of differential equations. They are extensively used in various parts of contemporary mathematics and physics. Lie groups also play a huge role in modern geometry on many different levels. This book outlines the processes and applications of Lie groups in detail. It covers some existent theories and innovative concepts revolving around this field. With state-of-the-art inputs by acclaimed experts of this field, this book targets students and professionals.
Integral Quadratic Forms
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The Elements of Algebra, With Numerous Exercises for Viva Voce and Written Work [microform]
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Introduction to the Theory of Sets
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Annual Report; 2013-2014
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Proceedings of the Bostonian Society, Annual Meeting; 1902
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An Introduction to the Theory of Canonical Matrices
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The Theory of Equations
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Bradbury’s Elementary Algebra
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Boolean Algebra and Its Applications
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The Topolattice and Permutation Group of an Infinite Set.
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface.We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.