The Language Issue in the Teaching of Mathematics in South Africa
Linear Algebra
There is good reason to be excited about Linear Algebra. With the world becoming increasingly digital, Linear Algebra is gaining more and more importance. When we send texts, share video, do internet searches, there are Linear Algebra algorithms in the background that make it work. This concise introduction to Linear Algebra is authored by a leading researcher presents a book that covers all the requisite material for a first course on the topic in a more practical way. The book focuses on the development of the mathematical theory and presents many applications to assist instructors and students to master the material and apply it to their areas of interest, whether it be to further their studies in mathematics, science, engineering, statistics, economics, or other disciplines. Linear Algebra has very appealing features: -It is a solid axiomatic based mathematical theory that is accessible to a large variety of students.-It has a multitude of applications from many different fields, ranging from traditional science and engineering applications to more 'daily life' applications.-It easily allows for numerical experimentation through the use of a variety of readily available software (both commercial and open source). Several suggestions of different software are made. While MATLAB is certainly still a favorite choice, open-source programs such as Sage (especially among algebraists) and the Python libraries are increasingly popular. This text guides the student to try out different programs by providing specific commands.
Combinatorial Nullstellensatz
Combinatorial Nullstellensatz is a novel theorem in algebra introduced by Noga Alon to tackle combinatorial problems in diverse areas of mathematics. This book focuses on the applications of this theorem to graph colouring. A key step in the applications of Combinatorial Nullstellensatz is to show that the coefficient of a certain monomial in the expansion of a polynomial is nonzero. The major part of the book concentrates on three methods for calculating the coefficients: Alon-Tarsi orientation: The task is to show that a graph has an orientation with given maximum out-degree and for which the number of even Eulerian sub-digraphs is different from the number of odd Eulerian sub-digraphs. In particular, this method is used to show that a graph whose edge set decomposes into a Hamilton cycle and vertex-disjoint triangles is 3-choosable, and that every planar graph has a matching whose deletion results in a 4-choosable graph. Interpolation formula for the coefficient: This method is in particular used to show that toroidal grids of even order are 3-choosable, r-edge colourable r-regular planar graphs are r-edge choosable, and complete graphs of order p+1, where p is a prime, are p-edge choosable. Coefficients as the permanents of matrices: This method is in particular used in the study of the list version of vertex-edge weighting and to show that every graph is (2,3)-choosable. It is suited as a reference book for a graduate course in mathematics.
101 Involved Algebra Problems with Answers
Sharpen your algebra skills by solving 101 "involved" algebra problems. This book includes separate sections of answers, hints, and full solutions. Prerequisites include multiplying expressions with square roots, systems of equations, the quadratic formula, the equation for a straight line, power rules, factoring, and other standard algebra techniques. A variety of problems are included, such as: systems of equations (many are nonstandard, including a quadratic term or a reciprocal, for example)simplifying expressions or solving equations that feature square rootsapplying algebra to derive equationsvariables in the denominatorrules for exponentsinequalitiesthe equation for a straight linemultiplying, distributing, or factoring expressionsapplications of algebra (such as in classic physics problems)transformations of variablesexposure to techniques such as completing the square, partial fractions, or separation of variablescross multiplyingratiosrationalizing the denominator and multiplying by the conjugateThis book is NOT indented to "teach" algebra (though the solutions may be instructive), but is designed to offer practice with a variety of algebra skills (which most students could benefit from) for students who are familiar with the skills listed. The author, Chris McMullen, Ph.D., has over twenty years of experience teaching math skills to physics students. He prepared this workbook of the Improve Your Math Fluency series to share his strategies for solving algebra problems.
X Marks the Spot
This book is written from the point of view of the users of maths. This book strives to give a guided tour of the development of various branches of mathematics (and what they're used for) that will give the reader this intuitive understanding.
Linear Algebra
Are you ready to dive into the vibrant world of linear algebra and see how it powers real-world applications? Welcome to this comprehensive guide, where traditional theory meets modern computational practices.Linear algebra is the magic behind many computational sciences -- machine learning, AI, data science, statistics, simulations, computer graphics, multivariate analyses, matrix decompositions, signal processing, and more. But here's a secret: the way it's taught in traditional textbooks isn't how professionals use it in the field.For instance, have you ever wondered about the practical importance of a matrix's "determinant"? You might be in for a surprise! This book bridges the gap between theoretical understanding and practical application, showing you not only the 'what' but also the 'how' of implementing linear algebra in real-world scenarios.What makes this book a must-have resource?Crystal clear explanations of linear algebra concepts and theories.Multiple angles to explain ideas, a proven technique to help cement your understanding.Vivid graphical visualizations to enhance your geometric intuition of linear algebra.Real-world implementations in MATLAB and Python. After all, in today's world, you seldom solve math problems by hand. Software is the way forward!A range of topics from beginner to intermediate levels, including vectors, matrix multiplications, least-squares projections, eigendecomposition, and singular-value decomposition.Emphasis on the application-oriented aspects of linear algebra and matrix analysis.Intuitive visual explanations of diagonalization, eigenvalues and eigenvectors, and singular value decomposition.Ready-to-use codes in MATLAB and Python to bring linear algebra concepts to life on your computer. All codes can be downloaded from https: //github.com/mikexcohen/LinAlgBook.A unique blend of hand-solved exercises and advanced code challenges. Remember, math is not a spectator sport!Whether you're just starting your journey in linear algebra or seeking to apply these concepts to data analyses on computers (such as statistics or signal processing), this book is your go-to guide. With this book at your side, you won't just learn linear algebra; you'll experience it!
Basic Math Skills Rescue, Part 2
The Critical Foundations of AlgebraThere are three clusters of essential math skills that all students need to learn and master. These are the foundational skills that will gradually lead children to algebra. Students need to have a strong understanding of these topics. These skills are aptly called the Critical Foundations of Algebra.Students need to fully understand these skills conceptually.They need to be able to compute accurately with them.They need to be able to apply them to problem solving.Automatic recall of number facts is also vitally important.The concepts, computation, problem solving, and recall of facts are mutually supportive of one another.The Critical Foundations of AlgebraWhole Numbers.Fractions and decimals, including percents, integers and positive and negative fractions and decimals.Some aspects of measurement and geometry.With a strong background in these areas, students will be prepared for success in algebra and beyond. The importance of a student's success in algebra cannot be over-emphasized. Algebra is the gateway subject that will equip students to take more advanced math, science, and technical classes. Success in algebra opens many doors to a higher education and a rewarding career; lack of success in algebra will sadly result in these doors staying closed.Basic Math Skills Rescue Parts 1 and 2 will ensure mastery of these Critical Skills of Algebra.Part 1 consists of three complete books: Whole numbers & integersFractions DecimalsPart 2 consists of three complete books: GeometryProblem Solving using all the above skillsMore Advanced Pre-Algebra SkillsMath Essentials materials will teach students these vital math skills in the most effective way possible. Here are some of the parent/teacher/student friendly program highlights.Short, concise, non-intimidating, self-contained lessonsA "Helpful Hints" section as part of each lesson, which insures that parents and students alike will understand each new topicFree Access to Online Video Tutorials taught by the authorEach lesson is self-contained and easy to understand with no fluff or distractionsConsistent review is built into each lessonChapter tests and final examsFun and exciting . . . students feel successful and develop self-esteemThe end result . . . Success in Algebra!
Galois Theory and Advanced Linear Algebra
This book discusses major topics in Galois theory and advanced linear algebra, including canonical forms. Divided into four chapters and presenting numerous new theorems, it serves as an easy-to-understand textbook for undergraduate students of advanced linear algebra, and helps students understand other courses, such as Riemannian geometry. The book also discusses key topics including Cayley-Hamilton theorem, Galois groups, Sylvester's law of inertia, Eisenstein criterion, and solvability by radicals. Readers are assumed to have a grasp of elementary properties of groups, rings, fields, and vector spaces, and familiarity with the elementary properties of positive integers, inner product space of finite dimension and linear transformations is beneficial.
Associative and Non-Associative Algebras and Applications
Part I: Algebraic and Analytic methods in associative and non-associative structures. Applications.- Behn, A., Casado Y. C. and Molina M. S: Isomorphisms of four dimensional perfect non-simple evolution algebras.- Ouattara, M. and Savadogo, S: Power-associative evolution algebras.- Cabrera-Padilla, M. G., Jim矇nez-Vargas A. and Villegas-Vallecillos, M: A survey on isometries between Lipschitz spaces.- Carmona, J., L籀pez-Mart穩nez, S. and Mart穩nez-Aparicio P. J: The principal eigenvalue for a class of singular quasilinear elliptic operators and applications.- Mart穩n, A. J. C., Dieme, B., and Izquierdo F. J. N: Non-commutative Poisson algebras admitting a multiplicative basis.- Garc穩a, M. C. and Palacios, ? . R: Multiplication algebras: algebraic and analytic aspects.- Oudghiri, M. and Souilah, K: Generalized Drazin inverse and commuting Riesz perturbations.- Louzari, M. and Reyes, A: Generalized rigid modules and their polynomial extensions.- Mart穩n, A. J. C., Gaye, B., and Izquierdo F. J. N: n-Ary k -actions between sets and their applications.- Badry, M. E., Abdallaoui, M. A., and Haily, A: Primary group rings.- Diop, Y., Mesmoudi, L. and Sow, D: Semi-ring based Gr繹bner-Shirshov bases over a noetherian valuation ring.- Haynou, M. and Mohammed Taous, M: The 4-rank of the class group of some real pure quartic number fields.- Part II: Homological and categorical methods in algebra.- Bulacu, D., and Torrecillas, B: Frobenius monoidal algebras and related topics.- Dembele, B., Maaouia M. B. F. and Sanghare, M: The functor SC-1 () and its relationship with homological functors T orn and E XT n.- Kaoutit, L. E.: BOCSES over small linear categories and corings.- Ammar, F., Ayadi, I., Mabrouk, S., and Makhlouf, A: Quadratic color Hom-Lie algebras.- Abdelalim, S., Chaichaa, A. and Garn, M. E: The extension property in the category of direct sum of cyclic torsion-free modules over a BFD.- Part III: History of Mathematics.- Azizi, A.: Arabic Scientific and technical Heritage in Morocco.
Separation in Point-Free Topology
This book is the first systematic treatment of this area so far scattered in a vast number of articles. As in classical topology, concrete problems require restricting the (generalized point-free) spaces by various conditions playing the roles of classical separation axioms. These are typically formulated in the language of points; but in the point-free context one has either suitable translations, parallels, or satisfactory replacements. The interrelations of separation type conditions, their merits, advantages and disadvantages, and consequences are discussed. Highlights of the book include a treatment of the merits and consequences of subfitness, various approaches to the Hausdorff's axiom, and normality type axioms. Global treatment of the separation conditions put them in a new perspective, and, a.o., gave some of them unexpected importance. The text contains a lot of quite recent results; the reader will see the directions the area is taking, and may find inspirationfor her/his further work.The book will be of use for researchers already active in the area, but also for those interested in this growing field (sometimes even penetrating into some parts of theoretical computer science), for graduate and PhD students, and others. For the reader's convenience, the text is supplemented with an Appendix containing necessary background on posets, frames and locales.
Skew Pbw Extensions
This monograph is devoted to a new class of non-commutative rings, skew Poincar矇-Birkhoff-Witt (PBW) extensions. Beginning with the basic definitions and ring-module theoretic/homological properties, it goes on to investigate finitely generated projective modules over skew PBW extensions from a matrix point of view. To make this theory constructive, the theory of Gr繹bner bases of left (right) ideals and modules for bijective skew PBW extensions is developed. For example, syzygies and the Ext and Tor modules over these rings are computed. Finally, applications to some key topics in the noncommutative algebraic geometry of quantum algebras are given, including an investigation of semi-graded Koszul algebras and semi-graded Artin-Schelter regular algebras, and the noncommutative Zariski cancellation problem. The book is addressed to researchers in noncommutative algebra and algebraic geometry as well as to graduate students and advanced undergraduate students.
Elements of Linear and Multilinear Algebra
This set of notes is an activity-oriented introduction to linear and multilinear algebra. The great majority of the most elementary results in these subjects are straightforward and can be verified by the thoughtful student. Indeed, that is the main point of these notes -- to convince the beginner that the subject is accessible. In the material that follows there are numerous indicators that suggest activity on the part of the reader: words such as 'proposition', 'example', 'theorem', 'exercise', and 'corollary', if not followed by a proof (and proofs here are very rare) or a reference to a proof, are invitations to verify the assertions made.These notes are intended to accompany an (academic) year-long course at the advanced undergraduate or beginning graduate level. (With judicious pruning most of the material can be covered in a two-term sequence.) The text is also suitable for a lecture-style class, the instructor proving some of the results while leaving others as exercises for the students.This book has tried to keep the facts about vector spaces and those about inner product spaces separate. Many beginning linear algebra texts conflate the material on these two vastly different subjects.
Advanced Algebra Study Guide
This book was written to better solve algebra problems using text, graphs, diagrams, rules, combined to show several approaches ofsolving algebra in a real life environment.
Semilocal Categories and Modules with Semilocal Endomorphism Rings
This book collects and coherently presents the research that has been undertaken since the author's previous book Module Theory (1998). In addition to some of the key results since 1995, it also discusses the development of much of the supporting material.In the twenty years following the publication of the Camps-Dicks theorem, the work of Facchini, Herbera, Shamsuddin, Puninski, Prihoda and others has established the study of serial modules and modules with semilocal endomorphism rings as one of the promising directions for module-theoretic research.Providing readers with insights into the directions in which the research in this field is moving, as well as a better understanding of how it interacts with other research areas, the book appeals to undergraduates and graduate students as well as researchers interested in algebra.
Linear Algebra
Praise for the Third Edition "This volume is ground-breaking in terms of mathematical texts in that it does not teach from a detached perspective, but instead, looks to show students that competent mathematicians bring an intuitive understanding to the subject rather than just a master of applications."--Electric Review Learn foundational and advanced topics in linear algebra with this concise and approachable resource A comprehensive introduction, Linear Algebra: Ideas and Applications, Fifth Edition provides a discussion of the theory and applications of linear algebra that blends abstract and computational concepts. With a focus on the development of mathematical intuition, the book emphasizes the need to understand both the applications of a particular technique and the mathematical ideas underlying the technique. The book introduces each new concept in the context of explicit numerical examples, which allows the abstract concepts to grow organically out of the necessity to solve specific problems. The intuitive discussions are consistently followed by rigorous statements of results and proofs. Linear Algebra: Ideas and Applications, Fifth Edition also features: A new application section on section on Google's Page Rank Algorithm. A new application section on pricing long term health insurance at a Continuing Care Retirement Community (CCRC). Many other illuminating applications of linear algebra with self-study questions for additional study. End-of-chapter summaries and sections with true-false questions to aid readers with further comprehension of the presented material Numerous computer exercises throughout using MATLAB code Linear Algebra: Ideas and Applications, Fifth Edition is an excellent undergraduate-level textbook for one or two semester undergraduate courses in mathematics, science, computer science, and engineering. With an emphasis on intuition development, the book is also an ideal self-study reference.
Profinite Semigroups and Symbolic Dynamics
This book describes the relation between profinite semigroups and symbolic dynamics. Profinite semigroups are topological semigroups which are compact and residually finite. In particular, free profinite semigroups can be seen as the completion of free semigroups with respect to the profinite metric. In this metric, two words are close if one needs a morphism on a large finite monoid to distinguish them. The main focus is on a natural correspondence between minimal shift spaces (closed shift-invariant sets of two-sided infinite words) and maximal J-classes (certain subsets of free profinite semigroups). This correspondence sheds light on many aspects of both profinite semigroups and symbolic dynamics. For example, the return words to a given word in a shift space can be related to the generators of the group of the corresponding J-class. The book is aimed at researchers and graduate students in mathematics or theoretical computer science.
Complex Semisimple Quantum Groups and Representation Theory
This book provides a thorough introduction to the theory of complex semisimple quantum groups, that is, Drinfeld doubles of q-deformations of compact semisimple Lie groups. The presentation is comprehensive, beginning with background information on Hopf algebras, and ending with the classification of admissible representations of the q-deformation of a complex semisimple Lie group. The main components are: - a thorough introduction to quantized universal enveloping algebras over general base fields and generic deformation parameters, including finite dimensional representation theory, the Poincar矇-Birkhoff-Witt Theorem, the locally finite part, and the Harish-Chandra homomorphism, - the analytic theory of quantized complex semisimple Lie groups in terms of quantized algebras of functions and their duals, - algebraic representation theory in terms of category O, and - analytic representation theory of quantized complex semisimple groups. Given its scope, the book will be a valuable resource for both graduate students and researchers in the area of quantum groups.
Desingularization: Invariants and Strategy
This book provides a rigorous and self-contained review of desingularization theory. Focusing on arbitrary dimensional schemes, it discusses the important concepts in full generality, complete with proofs, and includes an introduction to the basis of Hironaka's Theory. The core of the book is a complete proof of desingularization of surfaces; despite being well-known, this result was no more than folklore for many years, with no existing references. Throughout the book there are numerous computations on standard bases, blowing ups and characteristic polyhedra, which will be a source of inspiration for experts exploring bigger dimensions. Beginners will also benefit from a section which presents some easily overlooked pathologies.
No Bullshit Guide to Linear Algebra
Linear algebra is the foundation of science and engineering. Knowledge of linear algebra is a prerequisite for studying statistics, machine learning, computer graphics, signal processing, chemistry, economics, quantum mechanics, and countless other applications. Indeed, linear algebra offers a powerful toolbox for modelling the real world.The No Bullshit Guide to Linear Algebra shows the connections between the computational techniques of linear algebra, their geometric interpretations, and the theoretical foundations. This university-level textbook contains lessons on linear algebra written in a style that is precise and concise. Each concept is illustrated through definitions, formulas, diagrams, explanations, and examples of real-world applications. Readers build their math superpowers by solving practice problems and learning to use the computer algebra system SymPy to speed up tedious matrix arithmetic tasks."The book explains the concepts in a way that gives a strong intuitive understanding." - Joe Nestor, student"It's very well written and a fun read!" - Felix Kwok, professor"I used this book in multiple big data courses when I needed a deeper understanding of the material." - Zane Zakraisek, studentThe author, Ivan Savov, combines 17 years of tutoring experience with a B.Eng. in electrical engineering, an M.Sc. in physics, and a Ph.D. in computer science from McGill University.
Recent Developments in Commutative Algebra
- Defining Equations of Blowup Algebras. - Koszul Modules. - Gr繹bner Degenerations. - Adams Operations in Commutative Algebra.
Summit Math Algebra 2 Book 6
This textbook series supports both independent study and classroom learning, empowering students to learn at their own pace, whether working individually or collaboratively. The author makes each concept easy to understand and actively engages students in a step-by-step process of building genuine understanding, rather than memorizing formulas without knowing why they work. With careful pacing, clear explanations, and a detailed answer key for timely feedback and helpful guidance, the uniquely scaffolded approach allows students to learn math anywhere, at school or at home. Written by a teacher with over 20 years of experience, each feature is designed to benefit students. Published as separate books instead of a single textbook, students feel a sense of achievement when they finish each book, making learning feel less intimidating. Each lightweight book has 2 parts. The first half uses small steps to guide students through the process of constructing each concept, while the second half provides additional practice to reinforce learning and improve retention. Every section includes an answer key to provide teacher-like feedback that helps students keep moving forward. This curriculum is named Summit Math to reflect the author's belief that learning is like hiking. Anyone can reach the summit, at their own pace, if they keep taking small steps. Book description: In this book, students review what they learned about solving systems of linear equations in the Algebra 1 course. They will use the strategies of substitution and elimination to solve word problems that involve systems of linear equations. Linear inequalities are also included in this book. Students will then apply what they have learned about factoring as they solve nonlinear systems of equations. They will also learn how to solve 3-variable systems of equations and then use this skill to find the equation of a parabola when they know 3 points on the parabola. This book builds on Algebra 1: Books 5 and 6 and Algebra 2: Book 3. Book 6 Contents: Review graphing systems, substitution, and eliminationScenarios involving linear systemsSystems of linear inequalitiesNonlinear systemsSystems with 3 variablesWriting the equation for a parabola, given 3 pointsCumulative ReviewAnswer Key
Elements of algebra. Translated from the French, with the notes of Bernoulli and the additions of De La Grange To Which Is Prefixed a Memoirs of the Life and Character of Euler
This book has been considered by academicians and scholars of great significance and value to literature. This forms a part of the knowledge base for future generations. So that the book is never forgotten we have represented this book in a print format as the same form as it was originally first published. Hence any marks or annotations seen are left intentionally to preserve its true nature.
Advanced Linear and Matrix Algebra
This textbook emphasizes the interplay between algebra and geometry to motivate the study of advanced linear algebra techniques. Matrices and linear transformations are presented as two sides of the same coin, with their connection motivating inquiry throughout the book. Building on a first course in linear algebra, this book offers readers a deeper understanding of abstract structures, matrix decompositions, multilinearity, and tensors. Concepts draw on concrete examples throughout, offering accessible pathways to advanced techniques. Beginning with a study of vector spaces that includes coordinates, isomorphisms, orthogonality, and projections, the book goes on to focus on matrix decompositions. Numerous decompositions are explored, including the Shur, spectral, singular value, and Jordan decompositions. In each case, the author ties the new technique back to familiar ones, to create a coherent set of tools. Tensors and multilinearity complete the book, with a study of the Kronecker product, multilinear transformations, and tensor products. Throughout, "Extra Topic" sections augment the core content with a wide range of ideas and applications, from the QR and Cholesky decompositions, to matrix-valued linear maps and semidefinite programming. Exercises of all levels accompany each section. Advanced Linear and Matrix Algebra offers students of mathematics, data analysis, and beyond the essential tools and concepts needed for further study. The engaging color presentation and frequent marginal notes showcase the author's visual approach. A first course in proof-based linear algebra is assumed. An ideal preparation can be found in the author's companion volume, Introduction to Linear and Matrix Algebra.
Arbeitsbuch Lineare Algebra
Dieses Arbeitsbuch enth瓣lt die Aufgaben, Hinweise, L繹sungen und L繹sungswege des Werks Karpfinger/Stachel, Lineare Algebra. Durch die stufenweise Offenlegung der L繹sungen ist das Werk bestens geeignet zum Selbststudium, zur Vorlesungsbegleitung und als Pr羹fungsvorbereitung. Inhaltlich decken die Aufgaben den Stoff der linearen Algebra aus den ersten beiden Semestern ab.
Early Algebra Prel繳dio da ?lgebra nos anos iniciais da Educa癟瓊o B獺sica
As concep癟繭es alg矇bricas nos manuais did獺ticos abordam a ?lgebra como um processo de m矇todos e t矇cnicas sistematizadas e, por outro lado, como linguagem espec穩fica capaz de expressar ideias e estruturas matem獺ticas. Condicionado a um conjunto sistem獺tico de s穩mbolos, regras arbitr獺rias e pragm獺ticas que deveria ser compreendida apenas nos anos finais do Ensino Fundamental. Preocupados com essa perspectiva no ensino da ?lgebra, pesquisadores, especialistas, educadores e tamb矇m os 籀rg瓊os educacionais (nacionais e internacionais) discutem e se perguntam: Quais as compet礙ncias, esquemas que os estudantes dos anos iniciais do Ensino Fundamental apresentam ao lidar com problemas da ?lgebra elementar? e, ainda Quais os n穩veis de racioc穩nio alg矇brico que estes estudantes apresentam se lhes fossem propiciado oportunidades para lidar com problemas da 獺lgebra elementar? Estas inquieta癟繭es e seus resultados compreendem o resultado dos estudos abordados no livro.
Linear Algebra
This book, originally published as "Finite-Dimensional Vector Spaces" has been regarded as a masterpiece of linear algebra. Due to its non-standard title, the book was often overlooked even by math majors. Now the book appears with the new title, new typesetting, and corrections.The free PDF file available on the publisher's website www.bwpest2018.org
Linear Algebra
This book, originally published as "Finite-Dimensional Vector Spaces" has been regarded as a masterpiece of linear algebra. Due to its non-standard title, the book was often overlooked even by math majors. Now the book appears with the new title, new typesetting, and corrections.Asymmetry of the book cover is due to a formal display problem. Actual books are printed symmetrically. Please look at the paperback edition for the correct image.The free PDF file available on the publisher's website www.bwpest2018.org
Pre-Algebra Workbook
Prepare for the Pre-Algebra with a Perfect Workbook! Pre-Algebra Workbook is a learning workbook to prevent learning loss. It helps you retain and strengthen your Math skills and provides a strong foundation for success. This Pre-Algebra book provides you with solid foundation to get a head starts on your upcoming Pre-Algebra Test. Pre-Algebra Workbook is designed by top math instructors to help students prepare for the Pre-Algebra course. It provides students with an in-depth focus on the Pre-Algebra concepts. This is a prestigious resource for those who need an extra practice to succeed on the Pre-Algebra test.Pre-Algebra Workbook contains many exciting and unique features to help you score higher on the Pre-Algebra test, including: Over 2,500 Pre-Algebra Practice questions with answersComplete coverage of all Math concepts which students will need to ace the Pre-Algebra testTwo Pre-Algebra practice tests with detailed answersContent 100% aligned with the latest Pre-Algebra coursesThis Comprehensive Workbook for the Pre-Algebra is a perfect resource for those Pre-Algebra takers who want to review core content areas, brush-up in math, discover their strengths and weaknesses, and achieve their best scores on the Pre-Algebra test.Published By: The Math Notionwww.mathnotion.com
Algebra 1 Workbook
Prepare for the Algebra 1 with a Perfect Workbook! Algebra 1 Workbook is a learning workbook to prevent learning loss. It helps you retain and strengthen your Math skills and provides a strong foundation for success. This Algebra book provides you with solid foundation to get a head starts on your upcoming Algebra Test. Algebra 1 Workbook is designed by top math instructors to help students prepare for the Algebra course. It provides students with an in-depth focus on the Algebra concepts. This is a prestigious resource for those who need an extra practice to succeed on the Algebra test.Algebra 1 Workbook contains many exciting and unique features to help you score higher on the Algebra test, including: Over 2,500 Algebra Practice questions with answersComplete coverage of all Math concepts which students will need to ace the Algebra testTwo Algebra 1 practice tests with detailed answersContent 100% aligned with the latest Algebra coursesThis Comprehensive Workbook for the Algebra is a perfect resource for those Algebra takers who want to review core content areas, brush-up in math, discover their strengths and weaknesses, and achieve their best scores on the Algebra test.Published By: The Math Notionwww.mathnotion.com
Algebra 2 Workbook
Prepare for the Algebra 2 with a Perfect Workbook! Algebra 2 Workbook is a learning workbook to prevent learning loss. It helps you retain and strengthen your Math skills and provides a strong foundation for success. This Algebra book provides you with solid foundation to get a head starts on your upcoming Algebra Test. Algebra 2 Workbook is designed by top math instructors to help students prepare for the Algebra course. It provides students with an in-depth focus on the Algebra concepts. This is a prestigious resource for those who need an extra practice to succeed on the Algebra test.Algebra 2 Workbook contains many exciting and unique features to help you score higher on the Algebra test, including: Over 2,500 Algebra Practice questions with answersComplete coverage of all Math concepts which students will need to ace the Algebra testTwo Algebra 2 practice tests with detailed answersContent 100% aligned with the latest Algebra coursesThis Comprehensive Workbook for the Algebra is a perfect resource for those Algebra takers who want to review core content areas, brush-up in math, discover their strengths and weaknesses, and achieve their best scores on the Algebra test.Published By: The Math Notionwww.mathnotion.com
6th and 7th Grade Math Workbook
APEX Test Prep's 6th and 7th Grade Math Workbook: Math Practice Book for Grade 6 and 7 [New Edition Includes 900] Practice Questions] This workbook was developed to help 6th and 7th grade math students master all of the important skills that they have learned up to this point. It starts with the most basic concepts and works up to some rather advanced concepts. It is broken down into the four main content areas listed below: Arithmetic Measurement and Data Algebra Geometry Math can be frustrating, but it doesn't have to be! Our goal at APEX Test Prep is to help your student succeed with 6th and 7th grade math problems by practicing with these 6th and 7th grade math worksheets. With our detailed answer explanations, they won't have to make the same mistake twice if they miss an answer. Get this 6th and 7th grade math book today!
Introductory AlgebraAn Intuition-Building Approach For Teaching Your Child
How To Do Algebra
If you want to learn how to solve algebra problems faster with less effort, then get the "How To Do Algebra." In this step-by-step guide, you will discover tips, techniques, and strategies on how to become better at Algebra from an Algebra teacher's perspective. - How to solve Algebra problems faster with less effort. - Get better grades in Algebra class. - Impress your friends and teachers with much better scores. - Gain respect and a better reputation as a great student. - Please your parents with better scores in your math class. - Learn studying techniques to get better grades than other students. - Have a better success in math to look better in your college applications. - Discover the basic tools and tips to succeed in Algebra. - Understand how to solve Algebra problems the right way. - And much more! HowExpert publishes quick 'how to' guides on all topics from A to Z by everyday experts.
How To Teach Algebra
If you want to learn how to teach algebra the right way, then get the "How To Teach Algebra" guide. In this step-by-step guide, you will discover tips and techniques on how to teach Algebra the best way from an actual math teacher who has a passion and love for teaching Algebra. - How to teach Algebra properly. - Step-by-step and effective classroom management techniques. - Effective teaching methods in Algebra explained. - Cooperative learning techniques for teaching Algebra. - Influence your students to enjoy learning math and algebra. - Get recognized as one of the best math teachers in your school. - Sample rubrics to teach Algebra more effectively. - Tips on how to construct Algebra tests. - 10 recommended tips for writing test items. - And much more! HowExpert publishes quick 'how to' guides on all topics from A to Z by everyday experts.
Analytic and Probabilistic Methods in Number Theory
No detailed description available for "Analytic and Probabilistic Methods in Number Theory".
Multivariate Statistics and Matrices in Statistics
No detailed description available for "Multivariate Statistics and Matrices in Statistics".
No-Nonsense Algebra Practice Workbook, Bilingual Edition
NEW! Now available in Bilingual Edition, English and Spanish lessons side-by-side. The Perfect Companion to the No-Nonsense Algebra Text. Check out our new companion title, No-Nonsense Algebra Practice Workbook. Perfect to use along with the text for extra practice. Thousand of practice problems. Provides the practice necessary to ensure that students retain what they have learned. Includes a final review. Perfect for students who struggle. Excellent test preparation for SAT. Includes a handy Algebra Resource Center. Solutions for every problem. To become good at anything, practice is necessary. This applies to learning how to play an instrument, becoming good at a sport, and a multitude of various other skills. This book will provide the practice that is necessary to become successful in Algebra. Each leson in the book provides practice for the corresponding lesson in the No-Nonsense Algebra text.For maximum learning it is recommended that students use this workbook in combination with the original text, No-Nonsense Algebra, where detailed examples as well as online video tutorials are available.
Do the Math Workbook for Intermediate Algebra
This workbook offers a collection of 5-Minute Warm-Up exercises, Guided Practice exercises, and Do the Math exercises for each section in the text. These worksheets can be used as in-class assignments, as an in-lab study assignment, or for homework.
Do the Math Workbook for Elementary Algebra
This workbook offers a collection of 5-Minute Warm-Up exercises, Guided Practice exercises, and Do the Math exercises for each section in the text. These worksheets can be used as in-class assignments, as an in-lab study assignment, or for homework.
Algebra Made Easy
This book is intended as a study aid for fundamental algebra. The contents focus mainly on American high school curriculum. But anybody from any part of the world who is willing to learn a little algebra can be benefitted from this book. A big part of this book is focused on state regent exam (New York State). But it would be helpful for any high school student in America. The teachers can find some practice problems. The best part of the book is that there are answer explanations on all problems. This book is the outcome of my long years' experience of teaching and tutoring. Every problem is out of my imagination and creativity. These are not copied from any book or online resources. This book is for all students, teachers, future scientists, and engineers. A good foundation of math is very much necessary for future scientists. So I tried to include as many realistic problems as possible. Thank you all.
Elementary Algebra
Students of mathematics are often baffled by their own algebraic mistakes-and with good reason. The common manipulation errors of elementary algebra so closely resemble the actual laws that they can be called nonlaws. Students from algebra one through college algebra and calculus continue to make these deceptive errors. Elementary Algebra explores the differences between algebraic laws and nonlaws, hoping to aid students in eliminating or significantly reducing the most frequently occurring issues. It offers drills for the student via true-false questions and word problems and also includes sections on the important annuity formula used in banking. With its specific focus on overcoming typical problems in algebraic study, this handbook provides valuable support for students at many levels. Serving as a supplement for any course that uses algebra, this textbook presents mathematics students with a guide to help master common errors of the subject.
Algebra II Essentials for Dummies
Algebra II Essentials For Dummies (9781119590873) was previously published as Algebra II Essentials For Dummies (9780470618400). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product. Passing grades in two years of algebra courses are required for high school graduation. Algebra II Essentials For Dummies covers key ideas from typical second-year Algebra coursework to help students get up to speed. Free of ramp-up material, Algebra II Essentials For Dummies sticks to the point, with content focused on key topics only. It provides discrete explanations of critical concepts taught in a typical Algebra II course, from polynomials, conics, and systems of equations to rational, exponential, and logarithmic functions. This guide is also a perfect reference for parents who need to review critical algebra concepts as they help students with homework assignments, as well as for adult learners headed back into the classroom who just need a refresher of the core concepts. The Essentials For Dummies SeriesDummies is proud to present our new series, The Essentials For Dummies. Now students who are prepping for exams, preparing to study new material, or who just need a refresher can have a concise, easy-to-understand review guide that covers an entire course by concentrating solely on the most important concepts. From algebra and chemistry to grammar and Spanish, our expert authors focus on the skills students most need to succeed in a subject.
Mcgraw-hill Education Algebra II Review and Workbook
All the Math You Needs to Succeed in Algebra IIThis book will help you develop the math skills needed to succeed in the classroom and on standardized tests. The user-friendly pages are filled with easy-to-follow explanations of key algebra II concepts, followed by detailed examples that clearly demonstrate how to solve common problems. Hundreds of practice questions will help you master each concept, sharpen your problem-solving skills, and build confidence.Features include: - Topics aligned with national and state standards for algebra II courses- Content focused on helping you excel in the classroom and on standardized tests- Concise, clear explanations to easily grasp key concepts- Thorough examples that illustrate how to solve typical algebra II questions- More than 500 math problems that provide extensive opportunities to practice your new skills - Helpful appendixes covering matrices and probabilitiesTopics covered: - Linear Equations and Inequalities- Functions- Quadratic Relationships- Complex Numbers- Polynomial Functions- Rational and Irrational Functions- Exponential and Logarithmic Functions- Sequences and Series- Trigonometry - Descriptive Statistics- Inferential Statistics
Algebra II for Dummies
Boost your chances of scoring higher at Algebra II Algebra II introduces students to complex algebra concepts in preparation for trigonometry and calculus. In this new edition of Algebra II Workbook For Dummies, high school and college students will work through the types of Algebra II problems they'll see in class, including systems of equations, matrices, graphs, and conic sections. Plus, the book now comes with free 1-year access to chapter quizzes online! A recent report by ACT shows that over a quarter of ACT-tested 2012 high school graduates did not meet any of the four college readiness benchmarks in mathematics, English, reading, and science. Algebra II Workbook For Dummies presents tricky topics in plain English and short lessons, with examples and practice at every step to help students master the essentials, setting them up for success with each new lesson. Tracks to a typical Algebra II class Can be used as a supplement to classroom learning or for test prep Includes plenty of practice and examples throughout Comes with free access to chapter quizzes online Get ready to take the intimidation out of Algebra II!
Essentials of Modern Algebra
This new edition isintended for the undergraduate one or two semester course in modern algebra, also called abstract algebra. It follows a logical path, using the axioms or rules to understand structures such as groups, rings, andfields, and giving the reader examples to help, but leaving many theorems andexamples for them to try. The unique feature of the text is the list of"projects" at the end of each chapter that can be used in the classroom (withstudents solving them), alone, or in groups with the aid of an instructor.Because of their interactive nature, the projects are designed toreinforce previous concepts.Features: A logic-based presentation, with the structures of groups, rings, and fieldspresented in similar ways through objects, sub-objects, mappings betweenobjects, and quotients of objectsFollows a fairlystraight path without many of the side areas, such as modules, in order tointroduce Galois Theory and solvability of polynomialsProvides numerousexamples, exercises, and the inclusion of "projects" in each chapterAdds more, varied examples touse when illustrating ideas such as order of elements, direct products, andsubgroupsIncludes new material on thehistory of mathematics with vignettes of mathematicians Provides instructor's resources with solutionsand PowerPoint slides for use as a textbook
