Around the Unit Circle

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Publisher : Springer Nature
ISBN 13 : 3030800318
Total Pages : 444 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Around the Unit Circle by : James McKee

Download or read book Around the Unit Circle written by James McKee and published by Springer Nature. This book was released on 2021-12-08 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mahler measure, a height function for polynomials, is the central theme of this book. It has many interesting properties, obtained by algebraic, analytic and combinatorial methods. It is the subject of several longstanding unsolved questions, such as Lehmer’s Problem (1933) and Boyd’s Conjecture (1981). This book contains a wide range of results on Mahler measure. Some of the results are very recent, such as Dimitrov’s proof of the Schinzel–Zassenhaus Conjecture. Other known results are included with new, streamlined proofs. Robinson’s Conjectures (1965) for cyclotomic integers, and their associated Cassels height function, are also discussed, for the first time in a book. One way to study algebraic integers is to associate them with combinatorial objects, such as integer matrices. In some of these combinatorial settings the analogues of several notorious open problems have been solved, and the book sets out this recent work. Many Mahler measure results are proved for restricted sets of polynomials, such as for totally real polynomials, and reciprocal polynomials of integer symmetric as well as symmetrizable matrices. For reference, the book includes appendices providing necessary background from algebraic number theory, graph theory, and other prerequisites, along with tables of one- and two-variable integer polynomials with small Mahler measure. All theorems are well motivated and presented in an accessible way. Numerous exercises at various levels are given, including some for computer programming. A wide range of stimulating open problems is also included. At the end of each chapter there is a glossary of newly introduced concepts and definitions. Around the Unit Circle is written in a friendly, lucid, enjoyable style, without sacrificing mathematical rigour. It is intended for lecture courses at the graduate level, and will also be a valuable reference for researchers interested in Mahler measure. Essentially self-contained, this textbook should also be accessible to well-prepared upper-level undergraduates.

Algebra and Trigonometry

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Publisher :
ISBN 13 : 9781938168376
Total Pages : 1564 pages
Book Rating : 4.1/5 (683 download)

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Book Synopsis Algebra and Trigonometry by : Jay P. Abramson

Download or read book Algebra and Trigonometry written by Jay P. Abramson and published by . This book was released on 2015-02-13 with total page 1564 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The text is suitable for a typical introductory algebra course, and was developed to be used flexibly. While the breadth of topics may go beyond what an instructor would cover, the modular approach and the richness of content ensures that the book meets the needs of a variety of programs."--Page 1.

Precalculus

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Publisher :
ISBN 13 : 9781938168345
Total Pages : 2000 pages
Book Rating : 4.1/5 (683 download)

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Book Synopsis Precalculus by : Jay P. Abramson

Download or read book Precalculus written by Jay P. Abramson and published by . This book was released on 2014-10-23 with total page 2000 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Precalculus is intended for college-level precalculus students. Since precalculus courses vary from one institution to the next, we have attempted to meet the needs of as broad an audience as possible, including all of the content that might be covered in any particular course. The result is a comprehensive book that covers more ground than an instructor could likely cover in a typical one- or two-semester course; but instructors should find, almost without fail, that the topics they wish to include in their syllabus are covered in the text. Many chapters of OpenStax College Precalculus are suitable for other freshman and sophomore math courses such as College Algebra and Trigonometry; however, instructors of those courses might need to supplement or adjust the material. OpenStax will also be releasing College Algebra and Algebra and trigonometry titles tailored to the particular scope, sequence, and pedagogy of those courses."--Preface.

Trigonometry For Dummies

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Publisher : John Wiley & Sons
ISBN 13 : 1118827570
Total Pages : 384 pages
Book Rating : 4.1/5 (188 download)

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Book Synopsis Trigonometry For Dummies by : Mary Jane Sterling

Download or read book Trigonometry For Dummies written by Mary Jane Sterling and published by John Wiley & Sons. This book was released on 2014-02-06 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: A plain-English guide to the basics of trig Trigonometry deals with the relationship between the sides and angles of triangles... mostly right triangles. In practical use, trigonometry is a friend to astronomers who use triangulation to measure the distance between stars. Trig also has applications in fields as broad as financial analysis, music theory, biology, medical imaging, cryptology, game development, and seismology. From sines and cosines to logarithms, conic sections, and polynomials, this friendly guide takes the torture out of trigonometry, explaining basic concepts in plain English and offering lots of easy-to-grasp example problems. It also explains the "why" of trigonometry, using real-world examples that illustrate the value of trigonometry in a variety of careers. Tracks to a typical Trigonometry course at the high school or college level Packed with example trig problems From the author of Trigonometry Workbook For Dummies Trigonometry For Dummies is for any student who needs an introduction to, or better understanding of, high-school to college-level trigonometry.

Trigonometry

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Publisher :
ISBN 13 : 9781981517275
Total Pages : 440 pages
Book Rating : 4.5/5 (172 download)

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Book Synopsis Trigonometry by : Ted Sundstrom

Download or read book Trigonometry written by Ted Sundstrom and published by . This book was released on 2017-12-08 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: This college level trigonometry text may be different than most other trigonometry textbooks. In this book, the reader is expected to do more than read the book but is expected to study the material in the book by working out examples rather than just reading about them. So the book is not just about mathematical content (although it does contain important topics in trigonometry needed for further study in mathematics), but it is also about the process of learning and doing mathematics and is designed not to be just casually read but rather to be engaged. Recognizing that actively studying a mathematics book is often not easy, several features of the textbook have been designed to help students become more engaged as they study the material. Some of the features are: Beginning activities in each section that engage students with the material to be introduced, focus questions that help students stay focused on what is important in the section, progress checks that are short exercises or activities that replace the standard examples in most textbooks, a section summary, and appendices with answers for the progress checks and selected exercises.

Active Calculus 2018

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Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781724458322
Total Pages : 560 pages
Book Rating : 4.4/5 (583 download)

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Book Synopsis Active Calculus 2018 by : Matthew Boelkins

Download or read book Active Calculus 2018 written by Matthew Boelkins and published by Createspace Independent Publishing Platform. This book was released on 2018-08-13 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: Active Calculus - single variable is a free, open-source calculus text that is designed to support an active learning approach in the standard first two semesters of calculus, including approximately 200 activities and 500 exercises. In the HTML version, more than 250 of the exercises are available as interactive WeBWorK exercises; students will love that the online version even looks great on a smart phone. Each section of Active Calculus has at least 4 in-class activities to engage students in active learning. Normally, each section has a brief introduction together with a preview activity, followed by a mix of exposition and several more activities. Each section concludes with a short summary and exercises; the non-WeBWorK exercises are typically involved and challenging. More information on the goals and structure of the text can be found in the preface.

Geometry with an Introduction to Cosmic Topology

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Publisher : Jones & Bartlett Learning
ISBN 13 : 0763754579
Total Pages : 255 pages
Book Rating : 4.7/5 (637 download)

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Book Synopsis Geometry with an Introduction to Cosmic Topology by : Michael P. Hitchman

Download or read book Geometry with an Introduction to Cosmic Topology written by Michael P. Hitchman and published by Jones & Bartlett Learning. This book was released on 2009 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: The content of Geometry with an Introduction to Cosmic Topology is motivated by questions that have ignited the imagination of stargazers since antiquity. What is the shape of the universe? Does the universe have and edge? Is it infinitely big? Dr. Hitchman aims to clarify this fascinating area of mathematics. This non-Euclidean geometry text is organized intothree natural parts. Chapter 1 provides an overview including a brief history of Geometry, Surfaces, and reasons to study Non-Euclidean Geometry. Chapters 2-7 contain the core mathematical content of the text, following the ErlangenProgram, which develops geometry in terms of a space and a group of transformations on that space. Finally chapters 1 and 8 introduce (chapter 1) and explore (chapter 8) the topic of cosmic topology through the geometry learned in the preceding chapters.

Graphical Approach to Precalculus with Limits

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Publisher : Pearson Higher Ed
ISBN 13 : 0321899806
Total Pages : 1026 pages
Book Rating : 4.3/5 (218 download)

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Book Synopsis Graphical Approach to Precalculus with Limits by : John Hornsby

Download or read book Graphical Approach to Precalculus with Limits written by John Hornsby and published by Pearson Higher Ed. This book was released on 2012-11-09 with total page 1026 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the eBook of the printed book and may not include any media, website access codes, or print supplements that may come packaged with the bound book. A Graphical Approach to Precalculus with Limits: A Unit Circle Approach illustrates how the graph of a function can be used to support the solutions of equations and inequalities involving the function. Beginning with linear functions in Chapter 1, the text uses a four-part process to analyze each type of function, starting first with the graph of the function, then the equation, the associated inequality of that equation, and ending with applications. The text covers all of the topics typically caught in a college algebra course, but with an organization that fosters students’ understanding of the interrelationships among graphs, equations, and inequalities. With the Fifth Edition, the text continues to evolve as it addresses the changing needs of today’s students. Included are additional components to build skills, address critical thinking, solve applications, and apply technology to support traditional algebraic solutions, while maintaining its unique table of contents and functions-based approach. A Graphical Approach to Precalculus with Limits: A Unit Circle Approach continues to incorporate an open design, with helpful features and careful explanations of topics.

The Circle

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Publisher : Vintage
ISBN 13 : 0385351402
Total Pages : 404 pages
Book Rating : 4.3/5 (853 download)

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Book Synopsis The Circle by : Dave Eggers

Download or read book The Circle written by Dave Eggers and published by Vintage. This book was released on 2013-10-08 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: INTERNATIONAL BESTSELLER • A bestselling dystopian novel that tackles surveillance, privacy and the frightening intrusions of technology in our lives—a “compulsively readable parable for the 21st century” (Vanity Fair). When Mae Holland is hired to work for the Circle, the world’s most powerful internet company, she feels she’s been given the opportunity of a lifetime. The Circle, run out of a sprawling California campus, links users’ personal emails, social media, banking, and purchasing with their universal operating system, resulting in one online identity and a new age of civility and transparency. As Mae tours the open-plan office spaces, the towering glass dining facilities, the cozy dorms for those who spend nights at work, she is thrilled with the company’s modernity and activity. There are parties that last through the night, there are famous musicians playing on the lawn, there are athletic activities and clubs and brunches, and even an aquarium of rare fish retrieved from the Marianas Trench by the CEO. Mae can’t believe her luck, her great fortune to work for the most influential company in the world—even as life beyond the campus grows distant, even as a strange encounter with a colleague leaves her shaken, even as her role at the Circle becomes increasingly public. What begins as the captivating story of one woman’s ambition and idealism soon becomes a heart-racing novel of suspense, raising questions about memory, history, privacy, democracy, and the limits of human knowledge.

Processing

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Publisher : Apress
ISBN 13 : 1430203102
Total Pages : 738 pages
Book Rating : 4.4/5 (32 download)

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Book Synopsis Processing by : Ira Greenberg

Download or read book Processing written by Ira Greenberg and published by Apress. This book was released on 2007-12-31 with total page 738 pages. Available in PDF, EPUB and Kindle. Book excerpt: First Processing book on the market Processing is a nascent technology rapidly increasing in popularity Links with the creators of Processing will help sell the book

A Modern Approach to Probability Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 1489928375
Total Pages : 775 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis A Modern Approach to Probability Theory by : Bert E. Fristedt

Download or read book A Modern Approach to Probability Theory written by Bert E. Fristedt and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 775 pages. Available in PDF, EPUB and Kindle. Book excerpt: Students and teachers of mathematics and related fields will find this book a comprehensive and modern approach to probability theory, providing the background and techniques to go from the beginning graduate level to the point of specialization in research areas of current interest. The book is designed for a two- or three-semester course, assuming only courses in undergraduate real analysis or rigorous advanced calculus, and some elementary linear algebra. A variety of applications—Bayesian statistics, financial mathematics, information theory, tomography, and signal processing—appear as threads to both enhance the understanding of the relevant mathematics and motivate students whose main interests are outside of pure areas.

The Mathematics of the Heavens and the Earth

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Publisher : Princeton University Press
ISBN 13 : 1400833310
Total Pages : 352 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis The Mathematics of the Heavens and the Earth by : Glen Van Brummelen

Download or read book The Mathematics of the Heavens and the Earth written by Glen Van Brummelen and published by Princeton University Press. This book was released on 2021-08-10 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematics of the Heavens and the Earth is the first major history in English of the origins and early development of trigonometry. Glen Van Brummelen identifies the earliest known trigonometric precursors in ancient Egypt, Babylon, and Greece, and he examines the revolutionary discoveries of Hipparchus, the Greek astronomer believed to have been the first to make systematic use of trigonometry in the second century BC while studying the motions of the stars. The book traces trigonometry's development into a full-fledged mathematical discipline in India and Islam; explores its applications to such areas as geography and seafaring navigation in the European Middle Ages and Renaissance; and shows how trigonometry retained its ancient roots at the same time that it became an important part of the foundation of modern mathematics. The Mathematics of the Heavens and the Earth looks at the controversies as well, including disputes over whether Hipparchus was indeed the father of trigonometry, whether Indian trigonometry is original or derived from the Greeks, and the extent to which Western science is indebted to Islamic trigonometry and astronomy. The book also features extended excerpts of translations of original texts, and detailed yet accessible explanations of the mathematics in them. No other book on trigonometry offers the historical breadth, analytical depth, and coverage of non-Western mathematics that readers will find in The Mathematics of the Heavens and the Earth.

CK-12 Calculus

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Publisher : CK-12 Foundation
ISBN 13 : 1935983016
Total Pages : 603 pages
Book Rating : 4.9/5 (359 download)

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Book Synopsis CK-12 Calculus by : CK-12 Foundation

Download or read book CK-12 Calculus written by CK-12 Foundation and published by CK-12 Foundation. This book was released on 2010-08-15 with total page 603 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Exploring Mathematics Iv' 2003 Ed.

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Author :
Publisher : Rex Bookstore, Inc.
ISBN 13 : 9789712335778
Total Pages : 600 pages
Book Rating : 4.3/5 (357 download)

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Book Synopsis Exploring Mathematics Iv' 2003 Ed. by :

Download or read book Exploring Mathematics Iv' 2003 Ed. written by and published by Rex Bookstore, Inc.. This book was released on with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Circle Way

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Publisher : Berrett-Koehler Publishers
ISBN 13 : 1605092584
Total Pages : 241 pages
Book Rating : 4.6/5 (5 download)

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Book Synopsis The Circle Way by : Christina Baldwin

Download or read book The Circle Way written by Christina Baldwin and published by Berrett-Koehler Publishers. This book was released on 2010-03 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Meetings in the round have become the preferred tool for moving individual commitment into group action. This book lays out the structure of circle conversation, based on the original work of the authors who have standardized the essential elements that constitute circle practice.

Trigonometry

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Publisher : Academic Press
ISBN 13 : 1483218767
Total Pages : 475 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Trigonometry by : Charles P. McKeague

Download or read book Trigonometry written by Charles P. McKeague and published by Academic Press. This book was released on 2014-05-10 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: Trigonometry focuses on the principles, operations, formulas, and functions involved in trigonometry. The publication first takes a look at the six trigonometric functions, right triangle trigonometry, and radian measure. Discussions focus on radiance and degrees, unit circle and even and odd functions, length of arc and area of a sector, trigonometric functions of an acute angle, solving right triangles, rectangular coordinate system, and angles, degrees, and special triangles. The manuscript then examines graphing and inverse functions, identities and formulas, and equations. Topics include solving trigonometric equations, parametric equations and further graphing, sum and difference formulas, half-angle formulas, additional identities, phase shift, amplitude and period, graphing combinations of functions, and inverse trigonometric functions. The text ponders on complex numbers and polar coordinates, triangles, and equations, including the law of sines and cosines, products and quotients in trigonometric form, roots of a complex number, and polar coordinates. The book is a dependable reference for students and readers interested in trigonometry.

E-math Iv' 2007 Ed.(advance Algebra & Trigonometry)

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Author :
Publisher : Rex Bookstore, Inc.
ISBN 13 : 9789712345340
Total Pages : 586 pages
Book Rating : 4.3/5 (453 download)

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Book Synopsis E-math Iv' 2007 Ed.(advance Algebra & Trigonometry) by :

Download or read book E-math Iv' 2007 Ed.(advance Algebra & Trigonometry) written by and published by Rex Bookstore, Inc.. This book was released on with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: