Exploring Mathematics read online PDF, EPUB
9781449688547 English 1449688543 Includes Access To Student Companion Website Exploring Mathematics: Investigations With Functions Is Designed For One- Or Two- Term Mathematics Courses For Humanities And Liberal Arts Majors. This Unique Ten-Chapter Text Covers Modern Applications Of Mathematics In The Liberal Arts And Situates The Discipline Within Its Rich And Varied History. Exploring Mathematics Draws On Examples From The Humanities, Including How Math Is Used In Music And Astronomy, And Features Perforated Pages For Easy Study And Review. The Student-Friendly Writing Style And Informal Approach Demystifies The Subject Matter And Offers An Engaging And Informative Overview That Will Pique Students' Curiosity And Desire To Explore Mathematics Further. Organized Around The Use Of Algebraic Functions, This Text Builds Conceptual Bridges Between Each Chapter So That Students Develop Advanced Mathematical Skills Within A Larger Context. Unlike Other Texts That Present Mathematical Topics As A Disconnected Set Of Rules And Equations, Exploring Mathematics Flows Seamlessly From One Subject To The Next, Situating Each Within Its Historical And Cultural Context. This Text Provides A Unique Opportunity To Showcase The Richness Of Mathematics As A Foundation Upon Which To Build Understanding Of Many Different Phenomena. Students Will Come Away With A Solid Knowledge Base Of The Unifying Ideas Of Mathematics And The Ability To Explain How Mathematics Helps Us To Better Our Society And Understand The World Around Us. The Text's Objectives: The Author Chose The Topics Based On Meeting The Specific NCTM Curriculum Standards To: 1. Strengthen Estimation And Computational Skills. 2. Utilize Algebraic Concepts. 3. Emphasize Problem-Solving And Reasoning. 4. Emphasize Pattern And Relationship Recognition. 5. Highlight Importance Of Units In Measurement. 6. Highlight Importance Of The Notion Of A Mathematical Function. 7. Display Mathematical Connections To Other Disciplines. Key Features: A Full Color, Interactive Design Provides Students With A Safe Environment To Graph Solutions, Check Off Chapter Objectives, And Answer Questions Directly In Their Textbook Piques Student Interest In Math By Relating It To Areas Such As Astronomy And Music, Found In Chapter 4, Astronomy And The Methods Of Science And Chapter 9, Mathematics In Music And Cryptology Utilizes The Concept Of A Function As A Central Theme, Providing A Common Thread Through Chapters Presents An Engaging, Student-Friendly Style With Problem Sets That Incorporate Real-World Applications And Data An Abundance Of Examples Illustrating Important Applications Are Presented In Each Section, While Four-Color Pictures And Diagrams Reinforce Key Concepts And Increase Student Comprehension Every New, Printed Copy Includes Access To A Student Companion Website, Featuring A Lab Manual And Student Solutions Manual, Includes Access To Student Companion Website This Textbook Is Intended For A One Or Two-Term Course In Mathematics For Students Majoring In The Social Sciences, English, History, Or Any Of The Other Majors Within The Liberal Arts. With A Central Theme Around The Use Of The Concept Of Functions, And The Inclusion Of Unique Topics And Chapters, Exploring Mathematics Enables Students To Explore The Next Level Of Mathematics. It Attempts To Answer The Questions, "How Does Mathematics Help Us To Better Our Society And Understand The World Around Us?" And "What Are Some Of The Unifying Ideas Of Mathematics?" This Central Theme Helps To Impress Upon The Student The Feeling That Mathematics Is More Than A Disconnected Potpourri Of Rules And Tricks. Although It Would Be Inappropriate To Force A Functional Connection In Every Single Section, The Theme Is Used Whenever Possible To Provide Conceptual Bridges Between Chapters. The Text's Objectives: The Author Chose The Topics Based On Meeting The Specific NCTM Curriculum Standards To: 1. Strengthen Estimation And Computational Skills. 2. Utilize Algebraic Concepts. 3. Emphasize Problem-Solving And Reasoning. 4. Emphasize Pattern And Relationship Recognition. 5. Highlight Importance Of Units In Measurement. 6. Highlight Importance Of The Notion Of A Mathematical Function. 7. Display Mathematical Connections To Other Disciplines., Includes Access to Student Companion Website!Exploring Mathematics: Investigations with Functions is designed for one- or two- term mathematics courses for humanities and liberal arts majors. This unique ten-chapter text covers modern applications of mathematics in the liberal arts and situates the discipline within its rich and varied history. Exploring Mathematics draws on examples from the humanities, including how math is used in music and astronomy, and features perforated pages for easy study and review. The student-friendly writing style and informal approach demystifies the subject matter and offers an engaging and informative overview that will pique students' curiosity and desire to explore mathematics further.Organized around the use of algebraic functions, this text builds conceptual bridges between each chapter so that students develop advanced mathematical skills within a larger context. Unlike other texts that present mathematical topics as a disconnected set of rules and equations, Exploring Mathematics flows seamlessly from one subject to the next, situating each within its historical and cultural context. This text provides a unique opportunity to showcase the richness of mathematics as a foundation upon which to build understanding of many different phenomena. Students will come away with a solid knowledge base of the unifying ideas of mathematics and the ability to explain how mathematics helps us to better our society and understand the world around us.The Text's Objectives:The author chose the topics based on meeting the specific NCTM curriculum standards to:1. Strengthen estimation and computational skills.2. Utilize algebraic concepts.3. Emphasize problem-solving and reasoning.4. Emphasize pattern and relationship recognition.5. Highlight importance of units in measurement.6. Highlight importance of the notion of a mathematical function.7. Display mathematical connections to other disciplines.Key Features: A full color, interactive design provides students with a safe environment to graph solutions, check off chapter objectives, and answer questions directly in their textbook Piques student interest in math by relating it to areas such as astronomy and music, found in Chapter 4, Astronomy and the Methods of Science and Chapter 9, Mathematics in Music and Cryptology Utilizes the concept of a function as a central theme, providing a common thread through chapters Presents an engaging, student-friendly style with problem sets that incorporate real-world applications and data An abundance of examples illustrating important applications are presented in each section, while four-color pictures and diagrams reinforce key concepts and increase student comprehension Every new, printed copy includes access to a student companion website, featuring a lab manual and student solutions manual, Includes Access to Student Companion Website!This textbook is intended for a one or two-term course in mathematics for students majoring in the social sciences, English, history, or any of the other majors within the liberal arts. With a central theme around the use of the concept of functions, and the inclusion of unique topics and chapters, Exploring Mathematics enables students to explore the next level of mathematics. It attempts to answer the questions, "How does mathematics help us to better our society and understand the world around us?" and "What are some of the unifying ideas of mathematics?" This central theme helps to impress upon the student the feeling that mathematics is more than a disconnected potpourri of rules and tricks. Although it would be inappropriate to force a functional connection in every single section, the theme is used whenever possible to provide conceptual bridges between chapters. The Text's Objectives:The author chose the topics based on meeting the specific NCTM curriculum standards to:1. Strengthen estimation and computational skills.2. Utilize algebraic concepts.3. Emphasize problem-solving and reasoning.4. Emphasize pattern and relationship recognition.5. Highlight importance of units in measurement.6. Highlight importance of the notion of a mathematical function.7. Display mathematical connections to other disciplines., This textbook is intended for a one or two-term course in mathematics for college students majoring in the social sciences, English, history, music, art, education, humanities, philosophy, criminal justice, government, or any of the other majors in liberal arts. Most colleges and universities require liberal arts students to fulfill a math or quantitative component. The liberal arts mathematics course with an algebra prerequsite is a popular selection for these students. Our 9-chapter textbook offers modern applications of mathematics in the liberal arts as well as the aesthetic features of this very rich facet of history and ongoing advancement of human society.Johnson believes that both the use of the concept of function as a central theme and the inclusion of several chapters seldom seen in other texts of this genre considerably broadens the appeal of this text. It provides a sample of the next level of mathematics for which a college student who has passed intermediate algebra should be able to master. The book attempts to answer the questions, "How does mathematics help us to better our society and understand the world around us?" and "What are some of the unifying ideas of mathematics?" The central theme helps to impress upon the student the feeling that mathematics is more than a disconnected potpourri of rules and tricks. Although it would be inappropriate to force a functional connection in every single section, the theme is used whenever possible to provide conceptual bridges between chapters. Developing the concept of a function augments the presentation of many topics in every chapter.The Text's Objectives:The author chose the topics based on meeting the specific NCTM curriculum standards to:1. Strengthen estimation and computational skills.2. Utilize algebraic concepts.3. Emphasize problem-solving and reasoning.4. Emphasize pattern and relationship recognition.5. Highlight importance of units in measurement.6. Highlight importance of the notion of a mathematical function.7. Display mathematical connections to other disciplines.Key Features:Writing StyleAbundance of ExamplesNonstandard MaterialVocabulary ListChapter Review TestsHistorical FiguresFlexibility
9781449688547 English 1449688543 Includes Access To Student Companion Website Exploring Mathematics: Investigations With Functions Is Designed For One- Or Two- Term Mathematics Courses For Humanities And Liberal Arts Majors. This Unique Ten-Chapter Text Covers Modern Applications Of Mathematics In The Liberal Arts And Situates The Discipline Within Its Rich And Varied History. Exploring Mathematics Draws On Examples From The Humanities, Including How Math Is Used In Music And Astronomy, And Features Perforated Pages For Easy Study And Review. The Student-Friendly Writing Style And Informal Approach Demystifies The Subject Matter And Offers An Engaging And Informative Overview That Will Pique Students' Curiosity And Desire To Explore Mathematics Further. Organized Around The Use Of Algebraic Functions, This Text Builds Conceptual Bridges Between Each Chapter So That Students Develop Advanced Mathematical Skills Within A Larger Context. Unlike Other Texts That Present Mathematical Topics As A Disconnected Set Of Rules And Equations, Exploring Mathematics Flows Seamlessly From One Subject To The Next, Situating Each Within Its Historical And Cultural Context. This Text Provides A Unique Opportunity To Showcase The Richness Of Mathematics As A Foundation Upon Which To Build Understanding Of Many Different Phenomena. Students Will Come Away With A Solid Knowledge Base Of The Unifying Ideas Of Mathematics And The Ability To Explain How Mathematics Helps Us To Better Our Society And Understand The World Around Us. The Text's Objectives: The Author Chose The Topics Based On Meeting The Specific NCTM Curriculum Standards To: 1. Strengthen Estimation And Computational Skills. 2. Utilize Algebraic Concepts. 3. Emphasize Problem-Solving And Reasoning. 4. Emphasize Pattern And Relationship Recognition. 5. Highlight Importance Of Units In Measurement. 6. Highlight Importance Of The Notion Of A Mathematical Function. 7. Display Mathematical Connections To Other Disciplines. Key Features: A Full Color, Interactive Design Provides Students With A Safe Environment To Graph Solutions, Check Off Chapter Objectives, And Answer Questions Directly In Their Textbook Piques Student Interest In Math By Relating It To Areas Such As Astronomy And Music, Found In Chapter 4, Astronomy And The Methods Of Science And Chapter 9, Mathematics In Music And Cryptology Utilizes The Concept Of A Function As A Central Theme, Providing A Common Thread Through Chapters Presents An Engaging, Student-Friendly Style With Problem Sets That Incorporate Real-World Applications And Data An Abundance Of Examples Illustrating Important Applications Are Presented In Each Section, While Four-Color Pictures And Diagrams Reinforce Key Concepts And Increase Student Comprehension Every New, Printed Copy Includes Access To A Student Companion Website, Featuring A Lab Manual And Student Solutions Manual, Includes Access To Student Companion Website This Textbook Is Intended For A One Or Two-Term Course In Mathematics For Students Majoring In The Social Sciences, English, History, Or Any Of The Other Majors Within The Liberal Arts. With A Central Theme Around The Use Of The Concept Of Functions, And The Inclusion Of Unique Topics And Chapters, Exploring Mathematics Enables Students To Explore The Next Level Of Mathematics. It Attempts To Answer The Questions, "How Does Mathematics Help Us To Better Our Society And Understand The World Around Us?" And "What Are Some Of The Unifying Ideas Of Mathematics?" This Central Theme Helps To Impress Upon The Student The Feeling That Mathematics Is More Than A Disconnected Potpourri Of Rules And Tricks. Although It Would Be Inappropriate To Force A Functional Connection In Every Single Section, The Theme Is Used Whenever Possible To Provide Conceptual Bridges Between Chapters. The Text's Objectives: The Author Chose The Topics Based On Meeting The Specific NCTM Curriculum Standards To: 1. Strengthen Estimation And Computational Skills. 2. Utilize Algebraic Concepts. 3. Emphasize Problem-Solving And Reasoning. 4. Emphasize Pattern And Relationship Recognition. 5. Highlight Importance Of Units In Measurement. 6. Highlight Importance Of The Notion Of A Mathematical Function. 7. Display Mathematical Connections To Other Disciplines., Includes Access to Student Companion Website!Exploring Mathematics: Investigations with Functions is designed for one- or two- term mathematics courses for humanities and liberal arts majors. This unique ten-chapter text covers modern applications of mathematics in the liberal arts and situates the discipline within its rich and varied history. Exploring Mathematics draws on examples from the humanities, including how math is used in music and astronomy, and features perforated pages for easy study and review. The student-friendly writing style and informal approach demystifies the subject matter and offers an engaging and informative overview that will pique students' curiosity and desire to explore mathematics further.Organized around the use of algebraic functions, this text builds conceptual bridges between each chapter so that students develop advanced mathematical skills within a larger context. Unlike other texts that present mathematical topics as a disconnected set of rules and equations, Exploring Mathematics flows seamlessly from one subject to the next, situating each within its historical and cultural context. This text provides a unique opportunity to showcase the richness of mathematics as a foundation upon which to build understanding of many different phenomena. Students will come away with a solid knowledge base of the unifying ideas of mathematics and the ability to explain how mathematics helps us to better our society and understand the world around us.The Text's Objectives:The author chose the topics based on meeting the specific NCTM curriculum standards to:1. Strengthen estimation and computational skills.2. Utilize algebraic concepts.3. Emphasize problem-solving and reasoning.4. Emphasize pattern and relationship recognition.5. Highlight importance of units in measurement.6. Highlight importance of the notion of a mathematical function.7. Display mathematical connections to other disciplines.Key Features: A full color, interactive design provides students with a safe environment to graph solutions, check off chapter objectives, and answer questions directly in their textbook Piques student interest in math by relating it to areas such as astronomy and music, found in Chapter 4, Astronomy and the Methods of Science and Chapter 9, Mathematics in Music and Cryptology Utilizes the concept of a function as a central theme, providing a common thread through chapters Presents an engaging, student-friendly style with problem sets that incorporate real-world applications and data An abundance of examples illustrating important applications are presented in each section, while four-color pictures and diagrams reinforce key concepts and increase student comprehension Every new, printed copy includes access to a student companion website, featuring a lab manual and student solutions manual, Includes Access to Student Companion Website!This textbook is intended for a one or two-term course in mathematics for students majoring in the social sciences, English, history, or any of the other majors within the liberal arts. With a central theme around the use of the concept of functions, and the inclusion of unique topics and chapters, Exploring Mathematics enables students to explore the next level of mathematics. It attempts to answer the questions, "How does mathematics help us to better our society and understand the world around us?" and "What are some of the unifying ideas of mathematics?" This central theme helps to impress upon the student the feeling that mathematics is more than a disconnected potpourri of rules and tricks. Although it would be inappropriate to force a functional connection in every single section, the theme is used whenever possible to provide conceptual bridges between chapters. The Text's Objectives:The author chose the topics based on meeting the specific NCTM curriculum standards to:1. Strengthen estimation and computational skills.2. Utilize algebraic concepts.3. Emphasize problem-solving and reasoning.4. Emphasize pattern and relationship recognition.5. Highlight importance of units in measurement.6. Highlight importance of the notion of a mathematical function.7. Display mathematical connections to other disciplines., This textbook is intended for a one or two-term course in mathematics for college students majoring in the social sciences, English, history, music, art, education, humanities, philosophy, criminal justice, government, or any of the other majors in liberal arts. Most colleges and universities require liberal arts students to fulfill a math or quantitative component. The liberal arts mathematics course with an algebra prerequsite is a popular selection for these students. Our 9-chapter textbook offers modern applications of mathematics in the liberal arts as well as the aesthetic features of this very rich facet of history and ongoing advancement of human society.Johnson believes that both the use of the concept of function as a central theme and the inclusion of several chapters seldom seen in other texts of this genre considerably broadens the appeal of this text. It provides a sample of the next level of mathematics for which a college student who has passed intermediate algebra should be able to master. The book attempts to answer the questions, "How does mathematics help us to better our society and understand the world around us?" and "What are some of the unifying ideas of mathematics?" The central theme helps to impress upon the student the feeling that mathematics is more than a disconnected potpourri of rules and tricks. Although it would be inappropriate to force a functional connection in every single section, the theme is used whenever possible to provide conceptual bridges between chapters. Developing the concept of a function augments the presentation of many topics in every chapter.The Text's Objectives:The author chose the topics based on meeting the specific NCTM curriculum standards to:1. Strengthen estimation and computational skills.2. Utilize algebraic concepts.3. Emphasize problem-solving and reasoning.4. Emphasize pattern and relationship recognition.5. Highlight importance of units in measurement.6. Highlight importance of the notion of a mathematical function.7. Display mathematical connections to other disciplines.Key Features:Writing StyleAbundance of ExamplesNonstandard MaterialVocabulary ListChapter Review TestsHistorical FiguresFlexibility