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1. |
Record Nr. |
UNINA9910464443603321 |
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Titolo |
Classical geometry : euclidean, transformational, inversive, and projective / / Ed I. Leonard, [and three others] |
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Pubbl/distr/stampa |
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Hoboken, New Jersey : , : Wiley, , 2014 |
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©2014 |
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ISBN |
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1-118-67914-8 |
1-118-83943-9 |
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Edizione |
[1st edition] |
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Descrizione fisica |
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1 online resource (493 p.) |
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Classificazione |
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MAT012000EDU027000MAT003000 |
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Disciplina |
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Soggetti |
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Geometry |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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CLASSICAL GEOMETRY: Euclidean, Transformational, Inversive, and Projective; Copyright; CONTENTS; Preface; PART I EUCLIDEAN GEOMETRY; 1 PART I EUCLIDEAN GEOMETRY Congruency; 1.1 Introduction; 1.2 Congruent Figures; 1.3 Parallel Lines; 1.3.1 Angles in a Triangle; 1.3.2 Thales' Theorem; 1.3.3 Quadrilaterals; 1.4 More About Congruency; 1.5 Perpendiculars and Angle Bisectors; 1.6 Construction Problems; 1.6.1 The Method of Loci; 1.7 Solutions to Selected Exercises; 1.8 Problems; 2 Concurrency; 2.1 Perpendicular Bisectors; 2.2 Angle Bisectors; 2.3 Altitudes; 2.4 Medians; 2.5 Construction Problems |
2.6 Solutions to the Exercises2.7 Problems; 3 Similarity; 3.1 Similar Triangles; 3.2 Parallel Lines and Similarity; 3.3 Other Conditions Implying Similarity; 3.4 Examples; 3.5 Construction Problems; 3.6 The Power of a Point; 3.7 Solutions to the Exercises; 3.8 Problems; 4 Theorems of Ceva and Menelaus; 4.1 Directed Distances, Directed Ratios; 4.2 The Theorems; 4.3 Applications of Ceva's Theorem; 4.4 Applications of Menelaus' Theorem; 4.5 Proofs of the Theorems; 4.6 Extended Versions of the Theorems; 4.6.1 Ceva's Theorem in the Extended Plane; 4.6.2 Menelaus' Theorem in the Extended Plane |
4.7 Problems5 Area; 5.1 Basic Properties; 5.1.1 Areas of Polygons; 5.1.2 Finding the Area of Polygons; 5.1.3 Areas of Other Shapes; 5.2 |
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Applications of the Basic Properties; 5.3 Other Formulae for the Area of a Triangle; 5.4 Solutions to the Exercises; 5.5 Problems; 6 Miscellaneous Topics; 6.1 The Three Problems of Antiquity; 6.2 Constructing Segments of Specific Lengths; 6.3 Construction of Regular Polygons; 6.3.1 Construction of the Regular Pentagon; 6.3.2 Construction of Other Regular Polygons; 6.4 Miquel's Theorem; 6.5 Morley's Theorem; 6.6 The Nine-Point Circle; 6.6.1 Special Cases |
6.7 The Steiner-Lehmus Theorem6.8 The Circle of Apollonius; 6.9 Solutions to the Exercises; 6.10 Problems; PART II TRANSFORMATIONAL GEOMETRY; 7 The Euclidean Transformations or lsometries; 7.1 Rotations, Reflections, and Translations; 7.2 Mappings and Transformations; 7.2.1 Isometries; 7.3 Using Rotations, Reflections, and Translations; 7.4 Problems; 8 The Algebra of lsometries; 8.1 Basic Algebraic Properties; 8.2 Groups of Isometries; 8.2.1 Direct and Opposite Isometries; 8.3 The Product of Reflections; 8.4 Problems; 9 The Product of Direct lsometries; 9.1 Angles; 9.2 Fixed Points |
9.3 The Product of Two Translations9.4 The Product of a Translation and a Rotation; 9.5 The Product of Two Rotations; 9.6 Problems; 10 Symmetry and Groups; 10.1 More About Groups; 10.1.1 Cyclic and Dihedral Groups; 10.2 Leonardo's Theorem; 10.3 Problems; 11 Homotheties; 11.1 The Pantograph; 11.2 Some Basic Properties; 11.2.1 Circles; 11.3 Construction Problems; 11.4 Using Homotheties in Proofs; 11.5 Dilatation; 11.6 Problems; 12 Tessellations; 12.1 Tilings; 12.2 Monohedral Tilings; 12.3 Tiling with Regular Polygons; 12.4 Platonic and Archimedean Tilings; 12.5 Problems |
PART Ill INVERSIVE AND PROJECTIVE GEOMETRIES |
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Sommario/riassunto |
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"Written by well-known mathematical problem solvers, Modern Geometry features up-to-date and applicable coverage of the wide spectrum of modern geometry and aids readers in learning the art of logical reasoning, modeling, and proof. With its reader-friendly approach, this undergraduate text features: self-contained coverage of modern geometry, provides a large selection of solved exercises to aid in reader comprehension, contains material that can be tailored for a one-, two-, or three-semester sequence, and provides a wide range of fully worked exercises throughout"-- |
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2. |
Record Nr. |
UNISA996466565303316 |
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Autore |
Quirk Thomas J. |
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Titolo |
Excel 2019 in applied statistics for high school students : a guide to solving practical problems / / Thomas J. Quirk |
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Pubbl/distr/stampa |
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Cham, Switzerland : , : Springer, , [2021] |
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©2021 |
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ISBN |
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Edizione |
[2nd ed. 2021.] |
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Descrizione fisica |
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1 online resource (XVII, 244 p. 169 illus., 162 illus. in color.) |
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Collana |
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Excel for Statistics, , 2570-4605 |
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Disciplina |
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Soggetti |
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Management - Statistical methods |
Gestió |
Estadística matemàtica |
Llibres electrònics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Preface -- Acknowledgements -- 1 Sample Size, Mean, Standard Deviation, and Standard Error of the Mean -- 2 Random Number Generator -- 3 Confidence Interval About the Mean Using the TINV Function and Hypothesis Testing -- 4 One-Group t-Test for the Mean -- 5 Two-Group t-Test of the Difference of the Means for Independent Groups -- 6 Correlation and Simple Linear Regression -- 7 Multiple Correlation and Multiple Regression -- 8 One-Way Analysis of Variance (ANOVA) -- Appendix A: Answers to End-of-Chapter Practice Problems -- Appendix B: Practice Test -- Appendix C: Answers to Practice Test -- Appendix D: Statistical Formulas -- Appendix E: t-table -- Index. |
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Sommario/riassunto |
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This textbook is a step-by-step guide for high school, community college, and undergraduate students who are taking a course in applied statistics and wish to learn how to use Excel to solve statistical problems. All of the statistics problems in this book come from the following fields of study: business, education, psychology, marketing, engineering and advertising. Students will learn how to perform key statistical tests in Excel without being overwhelmed by statistical theory. Each chapter briefly explains a topic and then demonstrates how to use Excel commands and formulas to solve specific statistics |
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problems. The book offers guidance in using Excel in two different ways: (1) writing formulas (e.g., confidence interval about the mean, one-group t-test, two-group t-test, correlation) and (2) using Excel’s drop-down formula menus (e.g., simple linear regression, multiple correlations and multiple regression, and one-way ANOVA). Three practice problems are provided at the end of each chapter, along with their solutions in an appendix. An additional practice test allows readers to test their understanding of each chapter by attempting to solve a specific statistics problem using Excel; the solution to each of these problems is also given in an appendix. This book is a tool that can be used either by itself or along with any good statistics book. |
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