Author : CK-12 Foundation
Publisher : CK-12 Foundation
Page : 411 pages
File Size : 41,23 MB
Release : 2011-07-19
Category : Mathematics
ISBN : 1935983318
CK-12's Basic Geometry FlexBook, Volumes 1 through 2, is designed to present students with geometric principles in a more graphics-oriented course. Volume 1 includes 6 chapters: Basics of Geometry, Reasoning and Proof, Parallel and Perpendicular Lines, Triangles and Congruence, Relationships with Triangles, and Polygons and Quadrilaterals.
Author : CK-12 Foundation
Publisher : CK-12 Foundation
Page : 603 pages
File Size : 33,85 MB
Release : 2010-08-15
Category : Mathematics
ISBN : 1935983016
CK-12 Foundation's Single Variable Calculus FlexBook introduces high school students to the topics covered in the Calculus AB course. Topics include: Limits, Derivatives, and Integration.
Author : CK-12 Foundation
Publisher : CK-12 Foundation
Page : 434 pages
File Size : 38,86 MB
Release : 2011-07-19
Category : Mathematics
ISBN : 1935983326
CK-12's Basic Geometry FlexBook, Volumes 1 through 2, is designed to present students with geometric principles in a more graphics-oriented course. Volume 2 includes 6 chapters: Similarity, Right Triangle Trigonometry, Circles, Perimeter and Area, Surface Area and Volume, and Rigid Transformations.
Author : CK-12 Foundation
Publisher : CK-12 Foundation
Page : 438 pages
File Size : 26,69 MB
Release : 2011-10-14
Category : Mathematics
ISBN : 193598344X
CK-12's Trigonometry-Second Edition is a clear presentation of trigonometry for the high school student. Its 6 chapters cover the following topics: Right Triangles and an Introduction to Trigonometry, Graphing Trigonometric Functions, Trigonometric Identities and Equations, Inverse Trigonometric Functions, Triangles and Vectors, and The Polar System.
Author : Jeffrey R. Weeks
Publisher : CRC Press
Page : 248 pages
File Size : 25,12 MB
Release : 2001-12-12
Category : Mathematics
ISBN : 1135542651
Maintaining the standard of excellence set by the previous edition, this textbook covers the basic geometry of two- and three-dimensional spaces Written by a master expositor, leading researcher in the field, and MacArthur Fellow, it includes experiments to determine the true shape of the universe and contains illustrated examples and engaging exercises that teach mind-expanding ideas in an intuitive and informal way. Bridging the gap from geometry to the latest work in observational cosmology, the book illustrates the connection between geometry and the behavior of the physical universe and explains how radiation remaining from the big bang may reveal the actual shape of the universe.
Author : Shang-Ching Chou
Publisher : World Scientific
Page : 490 pages
File Size : 24,72 MB
Release : 1994
Category : Mathematics
ISBN : 9789810215842
This book reports recent major advances in automated reasoning in geometry. The authors have developed a method and implemented a computer program which, for the first time, produces short and readable proofs for hundreds of geometry theorems.The book begins with chapters introducing the method at an elementary level, which are accessible to high school students; latter chapters concentrate on the main theme: the algorithms and computer implementation of the method.This book brings researchers in artificial intelligence, computer science and mathematics to a new research frontier of automated geometry reasoning. In addition, it can be used as a supplementary geometry textbook for students, teachers and geometers. By presenting a systematic way of proving geometry theorems, it makes the learning and teaching of geometry easier and may change the way of geometry education.
Author : Franco P. Preparata
Publisher : Springer Science & Business Media
Page : 413 pages
File Size : 21,69 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461210984
From the reviews: "This book offers a coherent treatment, at the graduate textbook level, of the field that has come to be known in the last decade or so as computational geometry. ... ... The book is well organized and lucidly written; a timely contribution by two founders of the field. It clearly demonstrates that computational geometry in the plane is now a fairly well-understood branch of computer science and mathematics. It also points the way to the solution of the more challenging problems in dimensions higher than two." #Mathematical Reviews#1 "... This remarkable book is a comprehensive and systematic study on research results obtained especially in the last ten years. The very clear presentation concentrates on basic ideas, fundamental combinatorial structures, and crucial algorithmic techniques. The plenty of results is clever organized following these guidelines and within the framework of some detailed case studies. A large number of figures and examples also aid the understanding of the material. Therefore, it can be highly recommended as an early graduate text but it should prove also to be essential to researchers and professionals in applied fields of computer-aided design, computer graphics, and robotics." #Biometrical Journal#2
Author : Lynn Harold Loomis
Publisher : World Scientific Publishing Company
Page : 595 pages
File Size : 15,88 MB
Release : 2014-02-26
Category : Mathematics
ISBN : 9814583952
An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.
Author : Albrecht Beutelspacher
Publisher : Cambridge University Press
Page : 272 pages
File Size : 15,30 MB
Release : 1998-01-29
Category : Mathematics
ISBN : 9780521483643
Projective geometry is not only a jewel of mathematics, but has also many applications in modern information and communication science. This book presents the foundations of classical projective and affine geometry as well as its important applications in coding theory and cryptography. It also could serve as a first acquaintance with diagram geometry. Written in clear and contemporary language with an entertaining style and around 200 exercises, examples and hints, this book is ideally suited to be used as a textbook for study in the classroom or on its own.
Author : Jay Abramson
Publisher :
Page : 1152 pages
File Size : 38,43 MB
Release : 2018-01-07
Category : Mathematics
ISBN : 9789888407446
Precalculus is adaptable and designed to fit the needs of a variety of precalculus courses. It is a comprehensive text that covers more ground than a typical one- or two-semester college-level precalculus course. The content is organized by clearly-defined learning objectives, and includes worked examples that demonstrate problem-solving approaches in an accessible way. Coverage and Scope Precalculus contains twelve chapters, roughly divided into three groups. Chapters 1-4 discuss various types of functions, providing a foundation for the remainder of the course. Chapter 1: Functions Chapter 2: Linear Functions Chapter 3: Polynomial and Rational Functions Chapter 4: Exponential and Logarithmic Functions Chapters 5-8 focus on Trigonometry. In Precalculus, we approach trigonometry by first introducing angles and the unit circle, as opposed to the right triangle approach more commonly used in College Algebra and Trigonometry courses. Chapter 5: Trigonometric Functions Chapter 6: Periodic Functions Chapter 7: Trigonometric Identities and Equations Chapter 8: Further Applications of Trigonometry Chapters 9-12 present some advanced Precalculus topics that build on topics introduced in chapters 1-8. Most Precalculus syllabi include some of the topics in these chapters, but few include all. Instructors can select material as needed from this group of chapters, since they are not cumulative. Chapter 9: Systems of Equations and Inequalities Chapter 10: Analytic Geometry Chapter 11: Sequences, Probability and Counting Theory Chapter 12: Introduction to Calculus
