Functions and Graphs

Functions and Graphs PDF Author: I. M. Gelfand
Publisher: Courier Corporation
ISBN: 0486317137
Category : Mathematics
Languages : en
Pages : 116

Book Description
This text demonstrates the fundamentals of graph theory. The first part employs simple functions to analyze basics; second half deals with linear functions, quadratic trinomials, linear fractional functions, power functions, rational functions. 1969 edition.

Modeling, Functions, and Graphs

Modeling, Functions, and Graphs PDF Author: Katherine Franklin
Publisher: Brooks/Cole
ISBN: 9780534132842
Category : Mathematics
Languages : en
Pages : 714

Book Description
While maintaining its focus on functions and graphs this book gives the adequately prepared algebra student the right start and flexible goals.

Functions and Graphs

Functions and Graphs PDF Author: James Tanton
Publisher: American Mathematical Soc.
ISBN: 147044349X
Category : Education
Languages : en
Pages : 238

Book Description
A playful, readable, and thorough guide to precalculus, this book is directed at readers who would like a holistic look at the high school curriculum material on functions and their graphs. The exploration is presented through problems selected from the history of the Mathematical Association of America's American Mathematics Competition.

Zeta Functions of Graphs

Zeta Functions of Graphs PDF Author: Audrey Terras
Publisher: Cambridge University Press
ISBN: 1139491784
Category : Mathematics
Languages : en
Pages : 253

Book Description
Graph theory meets number theory in this stimulating book. Ihara zeta functions of finite graphs are reciprocals of polynomials, sometimes in several variables. Analogies abound with number-theoretic functions such as Riemann/Dedekind zeta functions. For example, there is a Riemann hypothesis (which may be false) and prime number theorem for graphs. Explicit constructions of graph coverings use Galois theory to generalize Cayley and Schreier graphs. Then non-isomorphic simple graphs with the same zeta are produced, showing you cannot hear the shape of a graph. The spectra of matrices such as the adjacency and edge adjacency matrices of a graph are essential to the plot of this book, which makes connections with quantum chaos and random matrix theory, plus expander/Ramanujan graphs of interest in computer science. Created for beginning graduate students, the book will also appeal to researchers. Many well-chosen illustrations and exercises, both theoretical and computer-based, are included throughout.

College Algebra

College Algebra PDF Author: Jay Abramson
Publisher:
ISBN: 9789888407439
Category : Mathematics
Languages : en
Pages : 892

Book Description
College Algebra provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra course. The modular approach and richness of content ensure that the book meets the needs of a variety of courses. College Algebra offers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they've learned. Coverage and Scope In determining the concepts, skills, and topics to cover, we engaged dozens of highly experienced instructors with a range of student audiences. The resulting scope and sequence proceeds logically while allowing for a significant amount of flexibility in instruction. Chapters 1 and 2 provide both a review and foundation for study of Functions that begins in Chapter 3. The authors recognize that while some institutions may find this material a prerequisite, other institutions have told us that they have a cohort that need the prerequisite skills built into the course. Chapter 1: Prerequisites Chapter 2: Equations and Inequalities Chapters 3-6: The Algebraic Functions Chapter 3: Functions Chapter 4: Linear Functions Chapter 5: Polynomial and Rational Functions Chapter 6: Exponential and Logarithm Functions Chapters 7-9: Further Study in College Algebra Chapter 7: Systems of Equations and Inequalities Chapter 8: Analytic Geometry Chapter 9: Sequences, Probability and Counting Theory

Precalculus

Precalculus PDF Author: Jay P. Abramson
Publisher:
ISBN: 9781938168345
Category : Algebra
Languages : en
Pages : 2000

Book Description
"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.

Clothesline Math: The Master Number Sense Maker

Clothesline Math: The Master Number Sense Maker PDF Author: Chris Shore
Publisher: Teacher Created Materials
ISBN: 1493885146
Category : Education
Languages : en
Pages : 338

Book Description
This must-have resource provides the theoretical groundwork for teaching number sense. Authored by Chris Shore, this book empowers teachers with the pedagogy, lessons, and detailed instructions to help them implement Clothesline Math in K-12 classrooms. Detailed, useful tips for facilitating the ensuing mathematical discourse are also included. At the elementary level, the hands-on lessons cover important math topics including whole numbers, place value, fractions, order of operations, algebraic reasoning, variables, and more. Implement Clothesline Math at the secondary level and provide students with hands-on learning and activities that teach advanced math topics including geometry, algebra, statistics, trigonometry, and pre-calculus. Aligned to state and national standards, this helpful resource will get students excited about learning math as they engage in meaningful discourse.

University Calculus

University Calculus PDF Author: Joel Hass
Publisher:
ISBN: 9780321500977
Category : Calculus
Languages : en
Pages : 1056

Book Description
Calculus hasn't changed, but your students have. Many of today's students have seen calculus before at the high school level. However, professors report nationwide that students come into their calculus courses with weak backgrounds in algebra and trigonometry, two areas of knowledge vital to the mastery of calculus. University Calculus: Alternate Edition responds to the needs of today's students by developing their conceptual understanding while maintaining a rigor appropriate to the calculus course. The Alternate Edition is the perfect alternative for instructors who want the same quality and quantity of exercises as Thomas' Calculus, Media Upgrade, Eleventh Edition but prefer a faster-paced presentation. University Calculus: Alternate Edition is now available with an enhanced MyMathLab(t) course-the ultimate homework, tutorial and study solution for today's students. The enhanced MyMathLab(t) course includes a rich and flexible set of course materials and features innovative Java(t) Applets, Group Projects, and new MathXL(R) exercises. This text is also available with WebAssign(R) and WeBWorK(R).
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