greek mathematical thought and algebra

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Ryan Balot K. A Companion to Greek and Roman Political Thought Ryan Balot K. A Companion to Greek and Roman Political Thought
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Ryan Balot K. A Companion to Greek and Roman Political Thought


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18665.97 руб.

Comprises 34 essays from leading scholars in history, classics, philosophy, and political science to illuminate Greek and Roman political thought in all its diversity and depth. Offers a broad survey of ancient political thought from Archaic Greece through Late Antiquity Approaches ancient political philosophy from both a normative and historical focus Examines Greek and Roman political thought within historical context and contemporary debate Explores the role of ancient political thought in a range of philosophies, such as the individual and community, human rights, religion, and cosmopolitanism

Michael O'Leary L. A First Course in Mathematical Logic and Set Theory Michael O'Leary L. A First Course in Mathematical Logic and Set Theory
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Michael O'Leary L. A First Course in Mathematical Logic and Set Theory


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8623.66 руб.

A mathematical introduction to the theory and applications of logic and set theory with an emphasis on writing proofs Highlighting the applications and notations of basic mathematical concepts within the framework of logic and set theory, A First Course in Mathematical Logic and Set Theory introduces how logic is used to prepare and structure proofs and solve more complex problems. The book begins with propositional logic, including two-column proofs and truth table applications, followed by first-order logic, which provides the structure for writing mathematical proofs. Set theory is then introduced and serves as the basis for defining relations, functions, numbers, mathematical induction, ordinals, and cardinals. The book concludes with a primer on basic model theory with applications to abstract algebra. A First Course in Mathematical Logic and Set Theory also includes: Section exercises designed to show the interactions between topics and reinforce the presented ideas and concepts Numerous examples that illustrate theorems and employ basic concepts such as Euclid’s lemma, the Fibonacci sequence, and unique factorization Coverage of important theorems including the well-ordering theorem, completeness theorem, compactness theorem, as well as the theorems of Löwenheim–Skolem, Burali-Forti, Hartogs, Cantor–Schröder–Bernstein, and König An excellent textbook for students studying the foundations of mathematics and mathematical proofs, A First Course in Mathematical Logic and Set Theory is also appropriate for readers preparing for careers in mathematics education or computer science. In addition, the book is ideal for introductory courses on mathematical logic and/or set theory and appropriate for upper-undergraduate transition courses with rigorous mathematical reasoning involving algebra, number theory, or analysis.

David Sansone Ancient Greek Civilization David Sansone Ancient Greek Civilization
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David Sansone Ancient Greek Civilization


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2995.97 руб.

The third edition of Ancient Greek Civilization is a concise, engaging introduction to the history and culture of ancient Greece from the Minoan civilization to the age of the Roman Empire. Explores the evolution and development of Greek art, literature, politics, and thought across history, as well as the ways in which these were affected by Greek interaction with other cultures Now includes additional illustrations and maps, updated notes and references throughout, and an expanded discussion of the Hellenistic period Weaves the latest scholarship and archeological excavations into the narrative at an appropriate level for undergraduates

Jonas Hall Mathematical Modeling. Applications with GeoGebra Jonas Hall Mathematical Modeling. Applications with GeoGebra
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Jonas Hall Mathematical Modeling. Applications with GeoGebra


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9373.54 руб.

A logical problem-based introduction to the use of GeoGebra for mathematical modeling and problem solving within various areas of mathematics A well-organized guide to mathematical modeling techniques for evaluating and solving problems in the diverse field of mathematics, Mathematical Modeling: Applications with GeoGebra presents a unique approach to software applications in GeoGebra and WolframAlpha. The software is well suited for modeling problems in numerous areas of mathematics including algebra, symbolic algebra, dynamic geometry, three-dimensional geometry, and statistics. Featuring detailed information on how GeoGebra can be used as a guide to mathematical modeling, the book provides comprehensive modeling examples that correspond to different levels of mathematical experience, from simple linear relations to differential equations. Each chapter builds on the previous chapter with practical examples in order to illustrate the mathematical modeling skills necessary for problem solving. Addressing methods for evaluating models including relative error, correlation, square sum of errors, regression, and confidence interval, Mathematical Modeling: Applications with GeoGebra also includes: Over 400 diagrams and 300 GeoGebra examples with practical approaches to mathematical modeling that help the reader develop a full understanding of the content Numerous real-world exercises with solutions to help readers learn mathematical modeling techniques A companion website with GeoGebra constructions and screencasts Mathematical Modeling: Applications with GeoGebrais ideal for upper-undergraduate and graduate-level courses in mathematical modeling, applied mathematics, modeling and simulation, operations research, and optimization. The book is also an excellent reference for undergraduate and high school instructors in mathematics.

Mary Sterling Jane Linear Algebra For Dummies Mary Sterling Jane Linear Algebra For Dummies
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Mary Sterling Jane Linear Algebra For Dummies


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1555.17 руб.

Learn to: Solve linear algebra equations in several ways Put data in order with matrices Determine values with determinants Work with eigenvalues and eigenvectors Your hands-on guide to real-world applications of linear algebra Does linear algebra leave you feeling lost? No worries —this easy-to-follow guide explains the how and the why of solving linear algebra problems in plain English. From matrices to vector spaces to linear transformations, you'll understand the key concepts and see how they relate to everything from genetics to nutrition to spotted owl extinction. Line up the basics – discover several different approaches to organizing numbers and equations, and solve systems of equations algebraically or with matrices Relate vectors and linear transformations – link vectors and matrices with linear combinations and seek solutions of homogeneous systems Evaluate determinants – see how to perform the determinant function on different sizes of matrices and take advantage of Cramer's rule Hone your skills with vector spaces – determine the properties of vector spaces and their subspaces and see linear transformation in action Tackle eigenvalues and eigenvectors – define and solve for eigenvalues and eigenvectors and understand how they interact with specific matrices Open the book and find: Theoretical and practical ways of solving linear algebra problems Definitions of terms throughout and in the glossary New ways of looking at operations How linear algebra ties together vectors, matrices, determinants, and linear transformations Ten common mathematical representations of Greek letters Real-world applications of matrices and determinants

Mary Sterling Jane Algebra II For Dummies Mary Sterling Jane Algebra II For Dummies
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Mary Sterling Jane Algebra II For Dummies


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1555.17 руб.

Algebra II For Dummies, 2nd Edition (9781119543145) was previously published as Algebra II For Dummies, 2nd Edition (9781119090625). 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. Your complete guide to acing Algebra II Do quadratic equations make you queasy? Does the mere thought of logarithms make you feel lethargic? You're not alone! Algebra can induce anxiety in the best of us, especially for the masses that have never counted math as their forte. But here's the good news: you no longer have to suffer through statistics, sequences, and series alone. Algebra II For Dummies takes the fear out of this math course and gives you easy-to-follow, friendly guidance on everything you'll encounter in the classroom and arms you with the skills and confidence you need to score high at exam time. Gone are the days that Algebra II is a subject that only the serious 'math' students need to worry about. Now, as the concepts and material covered in a typical Algebra II course are consistently popping up on standardized tests like the SAT and ACT, the demand for advanced guidance on this subject has never been more urgent. Thankfully, this new edition of Algebra II For Dummies answers the call with a friendly and accessible approach to this often-intimidating subject, offering you a closer look at exponentials, graphing inequalities, and other topics in a way you can understand. Examine exponentials like a pro Find out how to graph inequalities Go beyond your Algebra I knowledge Ace your Algebra II exams with ease Whether you're looking to increase your score on a standardized test or simply succeed in your Algebra II course, this friendly guide makes it possible.

Richard Penney C. Linear Algebra. Ideas and Applications Richard Penney C. Linear Algebra. Ideas and Applications
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Richard Penney C. Linear Algebra. Ideas and Applications


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9373.54 руб.

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 A comprehensive introduction, Linear Algebra: Ideas and Applications, Fourth 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 an explicit numerical example, 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, Fourth Edition also features: Two new and independent sections on the rapidly developing subject of wavelets A thoroughly updated section on electrical circuit theory 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, Fourth Edition is an excellent undergraduate-level textbook for one or two semester courses for students majoring in mathematics, science, computer science, and engineering. With an emphasis on intuition development, the book is also an ideal self-study reference.

John Arthur W. Understanding Geometric Algebra for Electromagnetic Theory John Arthur W. Understanding Geometric Algebra for Electromagnetic Theory
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John Arthur W. Understanding Geometric Algebra for Electromagnetic Theory


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11279.71 руб.

This book aims to disseminate geometric algebra as a straightforward mathematical tool set for working with and understanding classical electromagnetic theory. It's target readership is anyone who has some knowledge of electromagnetic theory, predominantly ordinary scientists and engineers who use it in the course of their work, or postgraduate students and senior undergraduates who are seeking to broaden their knowledge and increase their understanding of the subject. It is assumed that the reader is not a mathematical specialist and is neither familiar with geometric algebra or its application to electromagnetic theory. The modern approach, geometric algebra, is the mathematical tool set we should all have started out with and once the reader has a grasp of the subject, he or she cannot fail to realize that traditional vector analysis is really awkward and even misleading by comparison. Professors can request a solutions manual by email: [email protected]

Peter Wagner The Greek Polis and the Invention of Democracy. A Politico-cultural Transformation and Its Interpretations Peter Wagner The Greek Polis and the Invention of Democracy. A Politico-cultural Transformation and Its Interpretations
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Peter Wagner The Greek Polis and the Invention of Democracy. A Politico-cultural Transformation and Its Interpretations


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11619.63 руб.

The Greek Polis and the Invention of Democracy presents a series of essays that trace the Greeks’ path to democracy and examine the connection between the Greek polis as a citizen state and democracy as well as the interaction between democracy and various forms of cultural expression from a comparative historical perspective and with special attention to the place of Greek democracy in political thought and debates about democracy throughout the centuries. Presents an original combination of a close synchronic and long diachronic examination of the Greek polis – city-states that gave rise to the first democratic system of government Offers a detailed study of the close interactionbetween democracy, society, and the arts in ancient Greece Places the invention of democracy in fifth-century bce Athens both in its broad social and cultural context and in the context of the re-emergence of democracy in the modern world Reveals the role Greek democracy played in the political and intellectual traditions that shaped modern democracy, and in the debates about democracy in modern social, political, and philosophical thought Written collaboratively by an international team of leading scholars in classics, ancient history, sociology, and political science

Leonid Kurdachenko A. Algebra and Number Theory. An Integrated Approach Leonid Kurdachenko A. Algebra and Number Theory. An Integrated Approach
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Leonid Kurdachenko A. Algebra and Number Theory. An Integrated Approach


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11998.84 руб.

Explore the main algebraic structures and number systems that play a central role across the field of mathematics Algebra and number theory are two powerful branches of modern mathematics at the forefront of current mathematical research, and each plays an increasingly significant role in different branches of mathematics, from geometry and topology to computing and communications. Based on the authors' extensive experience within the field, Algebra and Number Theory has an innovative approach that integrates three disciplines—linear algebra, abstract algebra, and number theory—into one comprehensive and fluid presentation, facilitating a deeper understanding of the topic and improving readers' retention of the main concepts. The book begins with an introduction to the elements of set theory. Next, the authors discuss matrices, determinants, and elements of field theory, including preliminary information related to integers and complex numbers. Subsequent chapters explore key ideas relating to linear algebra such as vector spaces, linear mapping, and bilinear forms. The book explores the development of the main ideas of algebraic structures and concludes with applications of algebraic ideas to number theory. Interesting applications are provided throughout to demonstrate the relevance of the discussed concepts. In addition, chapter exercises allow readers to test their comprehension of the presented material. Algebra and Number Theory is an excellent book for courses on linear algebra, abstract algebra, and number theory at the upper-undergraduate level. It is also a valuable reference for researchers working in different fields of mathematics, computer science, and engineering as well as for individuals preparing for a career in mathematics education.

Mary Sterling Jane Algebra II Workbook For Dummies Mary Sterling Jane Algebra II Workbook For Dummies
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Mary Sterling Jane Algebra II Workbook For Dummies


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1295.87 руб.

To succeed in Algebra II, start practicing now Algebra II builds on your Algebra I skills to prepare you for trigonometry, calculus, and a of myriad STEM topics. Working through practice problems helps students better ingest and retain lesson content, creating a solid foundation to build on for future success. Algebra II Workbook For Dummies, 2nd Edition helps you learn Algebra II by doing Algebra II. Author and math professor Mary Jane Sterling walks you through the entire course, showing you how to approach and solve the problems you encounter in class. You'll begin by refreshing your Algebra I skills, because you'll need a strong foundation to build upon. From there, you'll work through practice problems to clarify concepts and improve understanding and retention. Revisit quadratic equations, inequalities, radicals, and basic graphs Master quadratic, exponential, and logarithmic functions Tackle conic sections, as well as linear and nonlinear systems Grasp the concepts of matrices, sequences, and imaginary numbers Algebra II Workbook For Dummies, 2nd Edition includes sections on graphing and special sequences to familiarize you with the key concepts that will follow you to trigonometry and beyond. Don't waste any time getting started. Algebra II Workbook For Dummies, 2nd Edition is your complete guide to success.

Sergey D. Skudaev The Easiest Way to Understand Algebra. Algebra equations with answers and solutions Sergey D. Skudaev The Easiest Way to Understand Algebra. Algebra equations with answers and solutions
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Sergey D. Skudaev The Easiest Way to Understand Algebra. Algebra equations with answers and solutions


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320 руб.

The book contains 80 different types of algebra equations together with explanations, answers and solutions. It helps a learner to understand the logic behind algebra equations and to build their self confidence. It is also a basic refresher for parents who are helping their children with math homework.

David Goodson Z. Mathematical Methods for Physical and Analytical Chemistry David Goodson Z. Mathematical Methods for Physical and Analytical Chemistry
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David Goodson Z. Mathematical Methods for Physical and Analytical Chemistry


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9019.88 руб.

Mathematical Methods for Physical and Analytical Chemistry presents mathematical and statistical methods to students of chemistry at the intermediate, post-calculus level. The content includes a review of general calculus; a review of numerical techniques often omitted from calculus courses, such as cubic splines and Newton’s method; a detailed treatment of statistical methods for experimental data analysis; complex numbers; extrapolation; linear algebra; and differential equations. With numerous example problems and helpful anecdotes, this text gives chemistry students the mathematical knowledge they need to understand the analytical and physical chemistry professional literature.

Sarah Morgan Powerful Greek, Unworldly Wife Sarah Morgan Powerful Greek, Unworldly Wife
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Sarah Morgan Powerful Greek, Unworldly Wife


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355.02 руб.

Powerful and proud ; he's a traditional Greek husband!Gorgeous Greek billionaire Leandro plucked plump Millie from her farm and swept her into his glamorous world! Wrapped in his arms, draped in diamonds, she thought nothing could touch them. But the deepest, darkest betrayal did. Her sister claimed she was expecting Leandro's baby. So Millie ran away, distraught.The designer dresses had clearly never hidden how unsuitable and unglamorous she truly was. Now, though, Leandro's powerful voice is demanding his wife come home. . . And, to her shame, she's willing. . .

Erin Muschla-Berry Algebra Teacher's Activities Kit. 150 Activities that Support Algebra in the Common Core Math Standards, Grades 6-12 Erin Muschla-Berry Algebra Teacher's Activities Kit. 150 Activities that Support Algebra in the Common Core Math Standards, Grades 6-12
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Erin Muschla-Berry Algebra Teacher's Activities Kit. 150 Activities that Support Algebra in the Common Core Math Standards, Grades 6-12


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2136.01 руб.

Help your students succeed with classroom-ready, standards-based activities The Algebra Teacher's Activities Kit: 150 Activities That Support Algebra in the Common Core Math Standards helps you bring the standards into your algebra classroom with a range of engaging activities that reinforce fundamental algebra skills. This newly updated second edition is formatted for easy implementation, with teaching notes and answers followed by reproducibles for activities covering the algebra standards for grades 6 through 12. Coverage includes whole numbers, variables, equations, inequalities, graphing, polynomials, factoring, logarithmic functions, statistics, and more, and gives you the material you need to reach students of various abilities and learning styles. Many of these activities are self-correcting, adding interest for students and saving you time. This book provides dozens of activities that Directly address each Common Core algebra standard Engage students and get them excited about math Are tailored to a diverse range of levels and abilities Reinforce fundamental skills and demonstrate everyday relevance Algebra lays the groundwork for every math class that comes after it, so it's crucial that students master the material and gain confidence in their abilities. The Algebra Teacher's Activities Kit helps you face the challenge, well-armed with effective activities that help students become successful in algebra class and beyond.

Downing D. Dictionary of Mathematics Terms. Third Edition Downing D. Dictionary of Mathematics Terms. Third Edition
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Downing D. Dictionary of Mathematics Terms. Third Edition


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1384 руб.

This quick-reference dictionary for math students, teachers, engineers, and statisticians defines more than 800 terms related to algebra, geometry, analytic geometry, trigonometry, probability, statistics, logic, and calculus. It also lists and defines mathematical symbols, includes a brief table of integrals, and describes how to derive key theorems. It is filled with illustrative diagrams and equations.

Mary Jane Sterling Algebra II For Dummies Mary Jane Sterling Algebra II For Dummies
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Mary Jane Sterling Algebra II For Dummies


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1295.87 руб.

Your complete guide to acing Algebra II Do quadratic equations make you queasy? Does the mere thought of logarithms make you feel lethargic? You're not alone! Algebra can induce anxiety in the best of us, especially for the masses that have never counted math as their forte. But here's the good news: you no longer have to suffer through statistics, sequences, and series alone. Algebra II For Dummies takes the fear out of this math course and gives you easy-to-follow, friendly guidance on everything you'll encounter in the classroom and arms you with the skills and confidence you need to score high at exam time. Gone are the days that Algebra II is a subject that only the serious 'math' students need to worry about. Now, as the concepts and material covered in a typical Algebra II course are consistently popping up on standardized tests like the SAT and ACT, the demand for advanced guidance on this subject has never been more urgent. Thankfully, this new edition of Algebra II For Dummies answers the call with a friendly and accessible approach to this often-intimidating subject, offering you a closer look at exponentials, graphing inequalities, and other topics in a way you can understand. Examine exponentials like a pro Find out how to graph inequalities Go beyond your Algebra I knowledge Ace your Algebra II exams with ease Whether you're looking to increase your score on a standardized test or simply succeed in your Algebra II course, this friendly guide makes it possible.

Majid Jaberi-Douraki Mathematical Modelling. A Graduate Textbook Majid Jaberi-Douraki Mathematical Modelling. A Graduate Textbook
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Majid Jaberi-Douraki Mathematical Modelling. A Graduate Textbook


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7555.75 руб.

An important resource that provides an overview of mathematical modelling Mathematical Modelling offers a comprehensive guide to both analytical and computational aspects of mathematical modelling that encompasses a wide range of subjects. The authors provide an overview of the basic concepts of mathematical modelling and review the relevant topics from differential equations and linear algebra. The text explores the various types of mathematical models, and includes a range of examples that help to describe a variety of techniques from dynamical systems theory. The book’s analytical techniques examine compartmental modelling, stability, bifurcation, discretization, and fixed-point analysis. The theoretical analyses involve systems of ordinary differential equations for deterministic models. The text also contains information on concepts of probability and random variables as the requirements of stochastic processes. In addition, the authors describe algorithms for computer simulation of both deterministic and stochastic models, and review a number of well-known models that illustrate their application in different fields of study. This important resource: Includes a broad spectrum of models that fall under deterministic and stochastic classes and discusses them in both continuous and discrete forms Demonstrates the wide spectrum of problems that can be addressed through mathematical modelling based on fundamental tools and techniques in applied mathematics and statistics Contains an appendix that reveals the overall approach that can be taken to solve exercises in different chapters Offers many exercises to help better understand the modelling process Written for graduate students in applied mathematics, instructors, and professionals using mathematical modelling for research and training purposes, Mathematical Modelling: A Graduate Textbook covers a broad range of analytical and computational aspects of mathematical modelling.

Mary Sterling Jane Algebra I For Dummies Mary Sterling Jane Algebra I For Dummies
:

Mary Sterling Jane Algebra I For Dummies


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1295.87 руб.

Algebra I For Dummies, 2nd Edition (9781119293576) was previously published as Algebra I For Dummies, 2nd Edition (9780470559642). 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. Factor fearlessly, conquer the quadratic formula, and solve linear equations There's no doubt that algebra can be easy to some while extremely challenging to others. If you're vexed by variables, Algebra I For Dummies, 2nd Edition provides the plain-English, easy-to-follow guidance you need to get the right solution every time! Now with 25% new and revised content, this easy-to-understand reference not only explains algebra in terms you can understand, but it also gives you the necessary tools to solve complex problems with confidence. You'll understand how to factor fearlessly, conquer the quadratic formula, and solve linear equations. Includes revised and updated examples and practice problems Provides explanations and practical examples that mirror today's teaching methods Other titles by Sterling: Algebra II For Dummies and Algebra Workbook For Dummies Whether you're currently enrolled in a high school or college algebra course or are just looking to brush-up your skills, Algebra I For Dummies, 2nd Edition gives you friendly and comprehensible guidance on this often difficult-to-grasp subject.

Mazen Shahin Explorations of Mathematical Models in Biology with MATLAB Mazen Shahin Explorations of Mathematical Models in Biology with MATLAB
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Mazen Shahin Explorations of Mathematical Models in Biology with MATLAB


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9224.13 руб.

Explore and analyze the solutions of mathematical models from diverse disciplines As biology increasingly depends on data, algorithms, and models, it has become necessary to use a computing language, such as the user-friendly MATLAB, to focus more on building and analyzing models as opposed to configuring tedious calculations. Explorations of Mathematical Models in Biology with MATLAB provides an introduction to model creation using MATLAB, followed by the translation, analysis, interpretation, and observation of the models. With an integrated and interdisciplinary approach that embeds mathematical modeling into biological applications, the book illustrates numerous applications of mathematical techniques within biology, ecology, and environmental sciences. Featuring a quantitative, computational, and mathematical approach, the book includes: Examples of real-world applications, such as population dynamics, genetics, drug administration, interacting species, and the spread of contagious diseases, to showcase the relevancy and wide applicability of abstract mathematical techniques Discussion of various mathematical concepts, such as Markov chains, matrix algebra, eigenvalues, eigenvectors, first-order linear difference equations, and nonlinear first-order difference equations Coverage of difference equations to model a wide range of real-life discrete time situations in diverse areas as well as discussions on matrices to model linear problems Solutions to selected exercises and additional MATLAB codes Explorations of Mathematical Models in Biology with MATLAB is an ideal textbook for upper-undergraduate courses in mathematical models in biology, theoretical ecology, bioeconomics, forensic science, applied mathematics, and environmental science. The book is also an excellent reference for biologists, ecologists, mathematicians, biomathematicians, and environmental and resource economists.

Mazen Shahin Explorations of Mathematical Models in Biology with Maple Mazen Shahin Explorations of Mathematical Models in Biology with Maple
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Mazen Shahin Explorations of Mathematical Models in Biology with Maple


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8923.18 руб.

Explore and analyze the solutions of mathematical models from diverse disciplines As biology increasingly depends on data, algorithms, and models, it has become necessary to use a computing language, such as the user-friendly MapleTM, to focus more on building and analyzing models as opposed to configuring tedious calculations. Explorations of Mathematical Models in Biology with Maple provides an introduction to model creation using Maple, followed by the translation, analysis, interpretation, and observation of the models. With an integrated and interdisciplinary approach that embeds mathematical modeling into biological applications, the book illustrates numerous applications of mathematical techniques within biology, ecology, and environmental sciences. Featuring a quantitative, computational, and mathematical approach, the book includes: Examples of real-world applications, such as population dynamics, genetics, drug administration, interacting species, and the spread of contagious diseases, to showcase the relevancy and wide applicability of abstract mathematical techniques Discussion of various mathematical concepts, such as Markov chains, matrix algebra, eigenvalues, eigenvectors, first-order linear difference equations, and nonlinear first-order difference equations Coverage of difference equations to model a wide range of real-life discrete time situations in diverse areas as well as discussions on matrices to model linear problems Solutions to selected exercises and additional Maple codes Explorations of Mathematical Models in Biology with Maple is an ideal textbook for undergraduate courses in mathematical models in biology, theoretical ecology, bioeconomics, forensic science, applied mathematics, and environmental science. The book is also an excellent reference for biologists, ecologists, mathematicians, biomathematicians, and environmental and resource economists.

Шаракшанэ Александр Абович Учебный англо-русский математический словарь Шаракшанэ Александр Абович Учебный англо-русский математический словарь
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Шаракшанэ Александр Абович Учебный англо-русский математический словарь


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258 руб.

Учебный англо-русский математический словарь" предназначен для студентов, изучающих математику на английском языке. Словарь содержит около 1800 словарных статей и охватывает материал, относящийся к базовым математическим предметам: математическому анализу, линейной алгебре и линейному программированию, теории вероятностей и математической статистике. Математические термины снабжены транскрипциями и примерами употребления. "A Student's English-Russian Mathematical Dictionary" is designed for Russian-speaking students who study mathematics in English. Including about 1800 lexical units, the dictionary covers the material pertaining to the basic mathematical courses of Calculus, Linear Algebra and Linear Programming, Probability Theory and Mathematical Statistics. The mathematical terms are supplied with transcriptions and example phrases and sentences.

Arthur Mazer The Ellipse. A Historical and Mathematical Journey Arthur Mazer The Ellipse. A Historical and Mathematical Journey
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Arthur Mazer The Ellipse. A Historical and Mathematical Journey


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5445.38 руб.

Explores the development of the ellipse and presents mathematical concepts within a rich, historical context The Ellipse features a unique, narrative approach when presenting the development of this mathematical fixture, revealing its parallels to mankind's advancement from the Counter-Reformation to the Enlightenment. Incorporating illuminating historical background and examples, the author brings together basic concepts from geometry, algebra, trigonometry, and calculus to uncover the ellipse as the shape of a planet's orbit around the sun. The book begins with a discussion that tells the story of man's pursuit of the ellipse, from Aristarchus to Newton's successful unveiling nearly two millenniums later. The narrative draws insightful similarities between mathematical developments and the advancement of the Greeks, Romans, Medieval Europe, and Renaissance Europe. The author begins each chapter by setting the historical backdrop that is pertinent to the mathematical material that is discussed, equipping readers with the knowledge to fully grasp the presented examples and derive the ellipse as the planetary pathway. All topics are presented in both historical and mathematical contexts, and additional mathematical excursions are clearly marked so that readers have a guidepost for the materials' relevance to the development of the ellipse. The Ellipse is an excellent book for courses on the history of mathematics at the undergraduate level. It is also a fascinating reference for mathematicians, engineers, or anyone with a general interest in historical mathematics.

Marvin H. J. Gruber Matrix Algebra for Linear Models Marvin H. J. Gruber Matrix Algebra for Linear Models
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Marvin H. J. Gruber Matrix Algebra for Linear Models


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8548.95 руб.

A self-contained introduction to matrix analysis theory and applications in the field of statistics Comprehensive in scope, Matrix Algebra for Linear Models offers a succinct summary of matrix theory and its related applications to statistics, especially linear models. The book provides a unified presentation of the mathematical properties and statistical applications of matrices in order to define and manipulate data. Written for theoretical and applied statisticians, the book utilizes multiple numerical examples to illustrate key ideas, methods, and techniques crucial to understanding matrix algebra’s application in linear models. Matrix Algebra for Linear Models expertly balances concepts and methods allowing for a side-by-side presentation of matrix theory and its linear model applications. Including concise summaries on each topic, the book also features: Methods of deriving results from the properties of eigenvalues and the singular value decomposition Solutions to matrix optimization problems for obtaining more efficient biased estimators for parameters in linear regression models A section on the generalized singular value decomposition Multiple chapter exercises with selected answers to enhance understanding of the presented material Matrix Algebra for Linear Models is an ideal textbook for advanced undergraduate and graduate-level courses on statistics, matrices, and linear algebra. The book is also an excellent reference for statisticians, engineers, economists, and readers interested in the linear statistical model.


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An important resource that provides an overview of mathematical modelling Mathematical Modelling offers a comprehensive guide to both analytical and computational aspects of mathematical modelling that encompasses a wide range of subjects. The authors provide an overview of the basic concepts of mathematical modelling and review the relevant topics from differential equations and linear algebra. The text explores the various types of mathematical models, and includes a range of examples that help to describe a variety of techniques from dynamical systems theory. The book’s analytical techniques examine compartmental modelling, stability, bifurcation, discretization, and fixed-point analysis. The theoretical analyses involve systems of ordinary differential equations for deterministic models. The text also contains information on concepts of probability and random variables as the requirements of stochastic processes. In addition, the authors describe algorithms for computer simulation of both deterministic and stochastic models, and review a number of well-known models that illustrate their application in different fields of study. This important resource: Includes a broad spectrum of models that fall under deterministic and stochastic classes and discusses them in both continuous and discrete forms Demonstrates the wide spectrum of problems that can be addressed through mathematical modelling based on fundamental tools and techniques in applied mathematics and statistics Contains an appendix that reveals the overall approach that can be taken to solve exercises in different chapters Offers many exercises to help better understand the modelling process Written for graduate students in applied mathematics, instructors, and professionals using mathematical modelling for research and training purposes, Mathematical Modelling: A Graduate Textbook covers a broad range of analytical and computational aspects of mathematical modelling.
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