Products related to Algebra:
-
Introductory Mathematics: Algebra and Analysis
This text provides a lively introduction to pure mathematics.It begins with sets, functions and relations, proof by induction and contradiction, complex numbers, vectors and matrices, and provides a brief introduction to group theory.It moves onto analysis, providing a gentle introduction to epsilon-delta technology and finishes with continuity and functions.The book features numerous exercises of varying difficulty throughout the text.
Price: 29.99 £ | Shipping*: 0.00 £ -
Excursions in Number Theory, Algebra, and Analysis
This textbook originates from a course taught by the late Ken Ireland in 1972.Designed to explore the theoretical underpinnings of undergraduate mathematics, the course focused on interrelationships and hands-on experience.Readers of this textbook will be taken on a modern rendering of Ireland’s path of discovery, consisting of excursions into number theory, algebra, and analysis.Replete with surprising connections, deep insights, and brilliantly curated invitations to try problems at just the right moment, this journey weaves a rich body of knowledge that is ideal for those going on to study or teach mathematics. A pool of 200 ‘Dialing In’ problems opens the book, providing fuel for active enquiry throughout a course.The following chapters develop theory to illuminate the observations and roadblocks encountered in the problems, situating them in the broader mathematical landscape.Topics cover polygons and modular arithmetic; the fundamental theorems of arithmetic and algebra; irrational, algebraic and transcendental numbers; and Fourier series and Gauss sums.A lively accompaniment of examples, exercises, historical anecdotes, and asides adds motivation and context to the theory.Return trips to the Dialing In problems are encouraged, offering opportunities to put theory into practice and make lasting connections along the way. Excursions in Number Theory, Algebra, and Analysis invites readers on a journey as important as the destination.Suitable for a senior capstone, professional development for practicing teachers, or independent reading, this textbook offers insights and skills valuable to math majors and high school teachers alike.A background in real analysis and abstract algebra is assumed, though the most important prerequisite is a willingness to put pen to paper and do some mathematics.
Price: 49.99 £ | Shipping*: 0.00 £ -
Algebra
This book is about algebra. This is a very old science and its gems have lost their charm for us through everyday use.We have tried in this book to refresh them for you. The main part of the book is made up of problems. The best way to deal with them is: Solve the problem by yourself - compare your solution with the solution in the book (if it exists) - go to the next problem.However, if you have difficulties solving a problem (and some of them are quite difficult), you may read the hint or start to read the solution.If there is no solution in the book for some problem, you may skip it (it is not heavily used in the sequel) and return to it later.The book is divided into sections devoted to different topics.Some of them are very short, others are rather long.Of course, you know arithmetic pretty well. However, we shall go through it once more, starting with easy things. 2 Exchange of terms in addition Let's add 3 and 5: 3+5=8. And now change the order: 5+3=8. We get the same result. Adding three apples to five apples is the same as adding five apples to three - apples do not disappear and we get eight of them in both cases. 3 Exchange of terms in multiplication Multiplication has a similar property.But let us first agree on notation.
Price: 54.99 £ | Shipping*: 0.00 £ -
What Is Calculus?: From Simple Algebra To Deep Analysis
This unique book provides a new and well-motivated introduction to calculus and analysis, historically significant fundamental areas of mathematics that are widely used in many disciplines.It begins with familiar elementary high school geometry and algebra, and develops important concepts such as tangents and derivatives without using any advanced tools based on limits and infinite processes that dominate the traditional introductions to the subject. This simple algebraic method is a modern version of an idea that goes back to René Descartes and that has been largely forgotten.Moving beyond algebra, the need for new analytic concepts based on completeness, continuity, and limits becomes clearly visible to the reader while investigating exponential functions.The author carefully develops the necessary foundations while minimizing the use of technical language.He expertly guides the reader to deep fundamental analysis results, including completeness, key differential equations, definite integrals, Taylor series for standard functions, and the Euler identity.This pioneering book takes the sophisticated reader from simple familiar algebra to the heart of analysis.Furthermore, it should be of interest as a source of new ideas and as supplementary reading for high school teachers, and for students and instructors of calculus and analysis.
Price: 32.00 £ | Shipping*: 0.00 £
-
How does the function Linear Algebra Analysis work?
Linear Algebra Analysis is a mathematical tool that is used to analyze and solve systems of linear equations and study the properties of linear transformations. It involves the use of matrices, vectors, and linear transformations to understand the behavior of linear systems. By performing operations such as matrix multiplication, finding eigenvalues and eigenvectors, and solving systems of linear equations, Linear Algebra Analysis helps in understanding the relationships and patterns within linear systems. This function is widely used in various fields such as engineering, physics, computer science, and economics to model and solve real-world problems.
-
Does the analysis require being good at linear algebra?
No, the analysis does not necessarily require being good at linear algebra. While linear algebra can be helpful in certain aspects of analysis, such as understanding matrix operations or solving systems of equations, it is not a strict requirement. Many analyses can be conducted using statistical software or other tools that automate complex calculations, allowing individuals with varying levels of mathematical proficiency to perform analyses effectively. Ultimately, a solid understanding of the underlying concepts and methodologies being used is more important than specific mathematical skills.
-
What are the foundations of Analysis, Stochastics, and Algebra?
The foundations of Analysis lie in the study of limits, continuity, and differentiation, as well as the concept of infinity and the rigorous development of calculus. Stochastics is built on the theory of probability and random variables, including the study of stochastic processes and their applications in modeling uncertainty and randomness. Algebra is based on the study of mathematical structures such as groups, rings, and fields, as well as the manipulation of symbols and equations to solve problems and prove theorems. These three areas of mathematics are fundamental to many branches of science and have wide-ranging applications in various fields.
-
What is the difference between algebra and sigma-algebra?
Algebra is a collection of subsets of a set that is closed under complementation and countable unions and intersections. It is a structure used in set theory and abstract algebra. On the other hand, a sigma-algebra is a more specific type of algebra that is also closed under countable unions and intersections, but it is defined on a probability space and is used in measure theory and probability theory. In essence, a sigma-algebra is a more specialized and stricter form of algebra, with additional properties that make it suitable for use in probability and measure theory.
Similar search terms for Algebra:
-
Algebra Dominoes
Algebra dominoes include a 28 piece set on thick plastic dominoes. Dominoes come in a collectors tin for storage. Children will love the feel of real dominoes as they complete the algebra matching game. Ages 8
Price: 17.18 £ | Shipping*: 7.19 £ -
Human Algebra
Price: 13.99 £ | Shipping*: 3.99 £ -
Pre-Algebra
Boost grades and the understanding of early algebra concepts that can make or break the long-term study of algebra through middle and high school and on to college.Textbooks and classes cover so much over months at a time that the details at different stages of learning are passed up with expectations of students remembering all the details of every stage of learning.This 6 page laminated reference guide is expertly authored and designed to offer a quick detailed overview of all stages of early algebra learning.So all concepts can be seen at a glance before reading texts or listening to instructors, during study and homework, or further into the class for refreshing before quizzes and exams.It can help the math-rusty parent homework coach as well to get the algebra gears turning again so you can be the homework hero.Topics covered include: Number Systems; Operations; Algebra; Concepts; Translating Words into Algebraic Statements; Algebraic Equations; Algebraic Inequalities; Coordinate; Plane Geometry; Ratio; Portion; Percent.
Price: 6.99 £ | Shipping*: 3.99 £ -
Linear Algebra
Linear Algebra is intended for a one-term course at the junior or senior level.It begins with an exposition of the basic theory of vector spaces and proceeds to explain the fundamental structure theorems for linear maps, including eigenvectors and eigenvalues, quadric and hermitian forms, diagonalization of symmetric, hermitian, and unitary linear maps and matrices, triangulation, and Jordan canonical form.The book also includes a useful chapter on convex sets and the finite-dimensional Krein-Milman theorem.The presentation is aimed at the student who has already had some exposure to the elementary theory of matrices, determinants, and linear maps.However, the book is logically self-contained. In this new edition, many parts of the book have been rewritten and reorganized, and new exercises have been added.
Price: 43.99 £ | Shipping*: 0.00 £
-
Which is more difficult: Linear Algebra I or Analysis I?
The difficulty of Linear Algebra I versus Analysis I can vary depending on the individual's strengths and background. Generally, Analysis I is considered more difficult due to its focus on rigorous proofs and abstract concepts. It requires a strong foundation in mathematical reasoning and a deep understanding of calculus. On the other hand, Linear Algebra I is more computational and visual, making it more accessible to some students. However, both courses are fundamental and essential for a strong understanding of mathematics.
-
How difficult are Analysis and Linear Algebra in the study?
Analysis and Linear Algebra can be challenging subjects in the study of mathematics. Both require a strong foundation in algebra and calculus, and they involve abstract concepts and rigorous proofs. However, with dedication and practice, students can develop a deep understanding of these subjects. It is important to seek help from professors, tutors, and peers when facing difficulties, and to approach the material with patience and persistence.
-
Does the analysis exist if one is good at linear algebra?
While being good at linear algebra can certainly be helpful in conducting analysis, it is not the sole factor determining the existence of analysis. Analysis involves a broader set of skills and knowledge beyond just linear algebra, such as calculus, statistics, and critical thinking. Being proficient in linear algebra can enhance one's ability to manipulate and interpret data, but it is not sufficient on its own to conduct a comprehensive analysis.
-
Is relational algebra difficult?
Relational algebra can be difficult for some people, especially those who are new to the concept of relational databases and set theory. It involves understanding various operations such as selection, projection, join, and union, as well as the rules and properties associated with these operations. However, with practice and a solid understanding of the underlying principles, relational algebra can become more manageable. It is important to approach it with patience and persistence, and seek out resources and guidance to help grasp the concepts.
* All prices are inclusive of VAT and, if applicable, plus shipping costs. The offer information is based on the details provided by the respective shop and is updated through automated processes. Real-time updates do not occur, so deviations can occur in individual cases.