Download and read online College Geometry in PDF and EPUB This book exposes readers to many practical applications of geometry, especially those involving measurement. A three- part organization divides topics into Problem Solving, Geometric Shapes, and Measurement; Formal Synthetic Euclidean Geometry; and Alternate Approaches to Plane Geometry.
Download and read online College Geometry in PDF and EPUB
Download and read online College Geometry in PDF and EPUB This manual includes tips for solving the problems in each section of the text and written solutions to odd-numbered exercises, applications, and proofs in each section. This student resource also contains written solutions to the Chapter Review Problems and Chapter Tests.
Download and read online College Geometry in PDF and EPUB Designed for mathematics majors and other students who intend to teach mathematics at the secondary school level, College Geometry: A Unified Development unifies the three classical geometries within an axiomatic framework. The author develops the axioms to include Euclidean, elliptic, and hyperbolic geometry, showing how geometry has real and far-reaching implications. He approaches every topic as a fresh, new concept and carefully defines and explains geometric principles. The book begins with elementary ideas about points, lines, and distance, gradually introducing more advanced concepts such as congruent triangles and geometric inequalities. At the core of the text, the author simultaneously develops the classical formulas for spherical and hyperbolic geometry within the axiomatic framework. He explains how the trigonometry of the right triangle, including the Pythagorean theorem, is developed for classical non-Euclidean geometries. Previously accessible only to advanced or graduate students, this material is presented at an elementary level. The book also explores other important concepts of modern geometry, including affine transformations and circular inversion. Through clear explanations and numerous examples and problems, this text shows step-by-step how fundamental geometric ideas are connected to advanced geometry. It represents the first step toward future study of Riemannian geometry, Einstein’s relativity, and theories of cosmology.
Download and read online College Algebra with Applications for Business and Life Sciences in PDF and EPUB COLLEGE ALGEBRA WITH APPLICATIONS FOR BUSINESS AND LIFE SCIENCES, Second Edition, meets the demand for courses that emphasize problem solving, modeling, and real-world applications for business and the life sciences. The authors provide a firm foundation in algebraic concepts, and prompt students to apply their understanding to relevant examples and applications they are likely to encounter in college or in their careers. The program addresses the needs of students at all levels--and in particular those who may have struggled in previous algebra courses--offering an abundance of examples and exercises that reinforce concepts and make learning more dynamic. The early introduction of functions in Chapter 1 ensures compatibility with syllabi and provides a framework for student learning. Instructors can also opt to use graphing technology as a tool for problem solving and for review or retention. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
Download and read online Geometry for College Students in PDF and EPUB One of the challenges many mathematics students face occurs after they complete their study of basic calculus and linear algebra, and they start taking courses where they are expected to write proofs. Historically, students have been learning to think mathematically and to write proofs by studying Euclidean geometry. In the author's opinion, geometry is still the best way to make the transition from elementary to advanced mathematics. The book begins with a thorough review of high school geometry, then goes on to discuss special points associated with triangles, circles and certain associated lines, Ceva's theorem, vector techniques of proof, and compass-and-straightedge constructions. There is also some emphasis on proving numerical formulas like the laws of sines, cosines, and tangents, Stewart's theorem, Ptolemy's theorem, and the area formula of Heron. An important difference of this book from the majority of modern college geometry texts is that it avoids axiomatics. The students using this book have had very little experience with formal mathematics. Instead, the focus of the course and the book is on interesting theorems and on the techniques that can be used to prove them. This makes the book suitable to second- or third-year mathematics majors and also to secondary mathematics education majors, allowing the students to learn how to write proofs of mathematical results and, at the end, showing them what mathematics is really all about.
Download and read online College Geometry in PDF and EPUB College Geometry is an approachable text, covering both Euclidean and Non-Euclidean geometry. This text is directed at the one semester course at the college level, for both pure mathematics majors and prospective teachers. A primary focus is on student participation, which is promoted in two ways: (1) Each section of the book contains one or two units, called Moments for Discovery, that use drawing, computational, or reasoning experiments to guide students to an often surprising conclusion related to section concepts; and (2) More than 650 problems were carefully designed to maintain student interest.
Download and read online Financial Algebra Advanced Algebra with Financial Applications in PDF and EPUB By combining algebraic and graphical approaches with practical business and personal finance applications, FINANCIAL ALGEBRA, Second Edition, motivates high school students to explore algebraic thinking patterns and functions in a financial context. FINANCIAL ALGEBRA, Second Edition will help your students achieve success by offering an applications based learning approach incorporating Algebra I, Algebra II, and Geometry topics. Authors Gerver and Sgroi have spent more than 25 years working with students of all ability levels and they have found the most success when connecting math to the real world. With new features, such as What’s the Problem?, FINANCIAL ALGEBRA, Second Edition encourages students to be actively involved in applying mathematical ideas to their everyday lives. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
Download and read online Trigonometry in PDF and EPUB Gain a solid understanding of the principles of trigonometry and how these concepts apply to real life with McKeague/Turner’s TRIGONOMETRY. This book’s proven approach presents contemporary concepts in brief, manageable sections using current, detailed examples and interesting applications. Captivating illustrations such as cycling, the Ferris wheel, and even the human cannonball, show trigonometry in action. Unique Historical Vignettes offer a fascinating glimpse at how many of the central ideas in trigonometry began. The text is easy to read, and important theorems and definitions are boxed so they can be quickly identified for study purposes. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
Download and read online Precalculus with Calculus Previews in PDF and EPUB Instructors are always faced with the dilemma of too much material and too little time. Perfect for the one-term course, Precalculus with Calculus Previews, Fourth Edition provides a complete, yet manageable, introduction to precalculus concepts while focusing on important topics that will be of direct and immediate use in most calculus courses. Consistent with Professor Zill's eloquent writing style, this four-color text offers numerous exercise sets and examples to aid in students' learning and understanding, while graphs and figures throughout serve to illuminate key concepts. The exercise sets include engaging problems that focus on algebra, graphing, and function theory, the sub-text of so many calculus problems. The authors are careful to use the terminology of calculus in an informal and comprehensible way to facilitate the student's successful transition into future calculus courses. With an extensive Student Study Guide and a full Solutions Manual for instructors, Precalculus with Calculus Previews offers a complete teaching and learning package!
Download and read online Elementary Geometry for College Students in PDF and EPUB Building on the success of its first five editions, the Sixth Edition of the market-leading text explores the important principles and real-world applications of plane, coordinate, and solid geometry. Strongly influenced by both NCTM and AMATYC standards, the text includes intuitive, inductive, and deductive experiences in its explorations. Goals of the authors for the students include a comprehensive development of the vocabulary of geometry, an intuitive and inductive approach to development of principles, and the strengthening of deductive skills that leads to both verification of geometric theories and the solution of geometry-based real world applications. Updates in this edition include the addition of 150 new problems, new applications, new Discover! activities and examples and additional material on select topics such as parabolas and a Three-Dimensional Coordinate System. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
Download and read online Functions in Mathematics in PDF and EPUB
Download and read online Elementary Differential Geometry in PDF and EPUB Elementary Differential Geometry presents the main results in the differential geometry of curves and surfaces suitable for a first course on the subject. Prerequisites are kept to an absolute minimum – nothing beyond first courses in linear algebra and multivariable calculus – and the most direct and straightforward approach is used throughout. New features of this revised and expanded second edition include: a chapter on non-Euclidean geometry, a subject that is of great importance in the history of mathematics and crucial in many modern developments. The main results can be reached easily and quickly by making use of the results and techniques developed earlier in the book. Coverage of topics such as: parallel transport and its applications; map colouring; holonomy and Gaussian curvature. Around 200 additional exercises, and a full solutions manual for instructors, available via www.springer.com ul>
Download and read online Trigonometry in PDF and EPUB Note: You are purchasing a standalone product; MyMathLab does not come packaged with this content. If you would like to purchase both the physical text and MyMathLab, search for ISBN-10: 0321900340 /ISBN-13: 9780321900340 . That package includes ISBN-10: 0321431308/ISBN-13: 9780321431301, ISBN-10:0321654064 /ISBN-13: 9780321654069 and ISBN-10:0321923480 /ISBN-13: 9780321923486. MyMathLab is not a self-paced technology and should only be purchased when required by an instructor. With an emphasis on problem solving and critical thinking, Mark Dugopolski's Trigonometry, Fourth Edition gives students the essential strategies to help them develop the comprehension and confidence they need to be successful in this course. Students will find carefully placed learning aids and review tools to help them do the math.
Download and read online Matlab in PDF and EPUB MATLAB: A Practical Introduction to Programming and Problem Solving, Fourth Edition, has been updated to reflect the functionality of the current version of MATLAB, including the new H2 Graphics system. It features new and revised end-of-chapter exercises, more engineering applications to help the reader learn this software tool in context, and a new section on object-oriented programming in MATLAB. MATLAB has become the standard software tool for solving scientific and engineering problems due to its powerful built-in functions and its ability to program. Assuming no knowledge of programming, this book guides the reader both programming and built-in functions to easily exploit MATLAB's extensive capabilities for tackling engineering problems. The book starts with programming concepts, such as variables, assignments, and selection statements, moves on to loops, and then solves problems using both the programming concept and the power of MATLAB. In-depth coverage is given to input/output, a topic fundamental to many engineering applications. Presents programming concepts and MATLAB built-in functions side-by-side Offers a systematic, step-by-step approach, building on concepts throughout the book and facilitating easier learning Includes sections on common pitfalls and programming guidelines to direct students toward best practices Combines basic programming concepts, built-in functions, and advanced topics for problem solving with MATLAB to make this book uniquely suitable for a wide range of courses teaching or using MATLAB across the curriculum