Presents a clear bridge between mathematics and the liberal arts Mathematics for the Liberal Arts provides a comprehensible and precise introduction to modern mathematics intertwined with the history of mathematical discoveries. The book discusses mathematical ideas in the context of the unfolding story of human thought and highlights the application of mathematics in everyday life. Divided into two parts, Mathematics for the Liberal Arts first traces the history of mathematics from the ancient world to the Middle Ages, then moves on to the Renaissance and finishes with the development of modern mathematics. In the second part, the book explores major topics of calculus and number theory, including problem-solving techniques and real-world applications. This book emphasizes learning through doing, presents a practical approach, and features: A detailed explanation of why mathematical principles are true and how the mathematical processes work Numerous figures and diagrams as well as hundreds of worked examples and exercises, aiding readers to further visualize the presented concepts Various real-world practical applications of mathematics, including error-correcting codes and the space shuttle program Vignette biographies of renowned mathematicians Appendices with solutions to selected exercises and suggestions for further reading Mathematics for the Liberal Arts is an excellent introduction to the history and concepts of mathematics for undergraduate liberal arts students and readers in non-scientific fields wishing to gain a better understanding of mathematics and mathematical problem-solving skills.
Presents a clear bridge between mathematics and the liberal arts Mathematics for the Liberal Arts provides a comprehensible and precise introduction to modern mathematics intertwined with the history of mathematical discoveries. The book discusses mathematical ideas in the context of the unfolding story of human thought and highlights the application of mathematics in everyday life. Divided into two parts, Mathematics for the Liberal Arts first traces the history of mathematics from the ancient world to the Middle Ages, then moves on to the Renaissance and finishes with the development of modern mathematics. In the second part, the book explores major topics of calculus and number theory, including problem-solving techniques and real-world applications. This book emphasizes learning through doing, presents a practical approach, and features: A detailed explanation of why mathematical principles are true and how the mathematical processes work Numerous figures and diagrams as well as hundreds of worked examples and exercises, aiding readers to further visualize the presented concepts Various real-world practical applications of mathematics, including error-correcting codes and the space shuttle program Vignette biographies of renowned mathematicians Appendices with solutions to selected exercises and suggestions for further reading Mathematics for the Liberal Arts is an excellent introduction to the history and concepts of mathematics for undergraduate liberal arts students and readers in non-scientific fields wishing to gain a better understanding of mathematics and mathematical problem-solving skills.
The 1970 merger between the American Football League and the National Football League laid the foundation for a stronger brand of gridiron competition, providing a new level of excitement for fans. This book examines each year of the NFL's pivotal decade in detail, covering the great names, great rivalries and great games, as well as the key changes in both strategy and rules. Along the way, the author explains how pro football developed into a near-religious American tradition.
Children and adolescents with moderate and severe disabilities often have communication challenges that lead them to use problem behavior to convey their desires. This is the most comprehensive contemporary volume on functional communication training (FCT)--the individualized instructional approach that teaches a child socially acceptable communicative alternatives to aggression, tantrums, self-injury, and other unconventional behaviors. The expert authors provide accessible, empirically based guidelines for implementing FCT, and tips for overcoming obstacles. Grounded in the principles of applied behavior analysis, the book includes detailed strategies for developing a support plan, together with illustrative case examples. ÿ
Language impairment in childhood and youth: presentation, diagnosis, assessment, and empirically validated treatmentAs many as half of children and adolescents presenting for mental health services have language impairments, often undiagnosed. This book offers a clear and comprehensive description of language impairment emerging in childhood and its implications for clinical practice with children and adolescents. The book is filled with many clinical pearls and examples of the way language impairment impacts on the child's symptom picture and influences treatment. After discussing DSM-IV and the planned DSM-5 criteria, it then goes on to provide the reader with an easy-to-follow plan on how to conduct the assessment with the child and parents, and the steps to take in initiating treatment. Unique are the recommended modifications to empirically validated treatments for language-impaired children with comorbid anxiety or disruptive behavior disorders. Anyone who works with children and adolescents will benefit from this book.
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