Functions, Data and Models: An Applied Approach to College Algebra

Sheldon P. Gordon, Florence S. Gordon


Mathematical Association of America | 2010 | 509 páginas | RAR - PDF | 3,10Mb


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Functions, Data, and Models is a college-level algebra textbook that is written to provide the kind of mathematical knowledge and experience that students will need for courses in other fields such as biology, chemistry, business, finance, economics, and other areas that are heavily dependent on data either from laboratory experiments or from other studies. The book focuses on fundamental mathematical concepts and realistic problem-solving via mathematical modeling rather than the development of algebraic skills.

Functions, Data and Models presents college algebra in a way that differs from almost all college algebra books available today. The authors teach something new rather than covering the same ground as high school courses. By changing the content of the course, the authors are able to give students an introduction to data analysis and mathematical modeling that even students with limited algebraic skills can handle. The book contains rich exercises, many of which use real data. Also included are thought experiments or what if questions that are meant to stretch the student's mathematical thinking.

Contents: 1. Data Everywhere; 2. Functions Everywhere; ;3. Linear Functions; 4. More About Linear Functions; 5. Families of Nonlinear functions; 6. Polynomial Functions; 7. Extended Families of Functions; 8. Modeling Periodic Phenomena. Appendics: Absolute Values; Factorial Notation n!; Summation Notation; Statistical Calculations on TI Calulators; Statistical Calculations using Excel; Algebra of Linear Functions; Solving Equations Graphically; Zoom-and-Trace; Linear Regression on TI Calculators; Linear Regression in Excel; Solving Systems of Linear Equations Algebraically; Curve Fitting in Excel; Symmetry; Arithmetic of Complex Numbers; 2009 World Population Data.

Types of Functions in Mathematics

Gabriella Durand

World Technologies | 2012 | 105 páginas | PDF | 1,29 Mb

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This book explains different types of Functions in Mathematics.


Table of Contents
Chapter 1 - Additive Function
Chapter 2 - Algebraic Function
Chapter 3 - Analytic Function
Chapter 4 - Completely Multiplicative Function and Concave Function
Chapter 5 - Convex Function
Chapter 6 - Differentiable Function
Chapter 7 - Elementary Function and Entire Function
Chapter 8 - Even and Odd Functions
Chapter 9 - Harmonic Function
Chapter 10 - Holomorphic Function
Chapter 11 - Homogeneous Function
Chapter 12 - Indicator Function
Chapter 13 - Injective Function
Chapter 14 - Measurable Function
Chapter 15 - Meromorphic Function
Chapter 16 - Multiplicative Function and Multivalued Function
Chapter 17 - Periodic Function
Chapter 18 - Pseudoconvex Function and Quasiconvex Function
Chapter 19 - Rational Function
Chapter 20 - Ring of Symmetric Functions

Functions Mathematics

Gisselle Eagle

World Technologies | 2012 | 119 páginas | PDF | 2,5 Mb

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Table of Contents
Chapter 1 - Introduction to Function
Chapter 2 - Inverse Function
Chapter 3 - Special Functions & Implicit and Explicit Functions
Chapter 4 - Function Composition
Chapter 5 - Continuous Function
Chapter 6 - Hyperbolic Function & Trigonometric Functions
Chapter 7 - Arithmetic Function

Functions and Graphs

Izrailʹ Moiseevich Gelʹ fand, Elena Georgievna Glagoleva, E. E. Shnol

Birkhäuser Boston | 1990 | 116 páginas | PDF | 2,68 Mb

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The need for improved mathematics education at the high school and college levels has never been more apparent than in the 1990's. As early as the 1960's, I.M. Gelfand and his colleagues in the USSR thought hard about this same question and developed a style for presenting basic mathematics in a clear and simple form that engaged the curiosity and intellectual interest of thousands of high school and college students. These same ideas, this same content, unchanged by over thirty years of experience and mathematical development, are available in the following books to any student who is willing to read, to be stimulated, and to learn. "Functions and Graphs" provides instruction in transferring formulas and data into geometrical form. Thus, drawing graphs is shown to be one way to "see" formulas and functions and to observe the ways in which they change. This skill is fundamental to the study of calculus and other mathematical topics. Teachers of mathematics will find here a fresh understanding of the subject and a valuable path to the training of students in mathematical concepts and skills. 

Preface * Foreword * Introduction * 1. Examples * 2. The Linear Function * 3. The Function y=|x| * 4. The Quadratic Trinomial * 5. The Linear Fractional Function * 6. Power Functions * 7. Rational Functions * Problems for Independent Solution * Answers and Hints to Problems and Exercises Marked with the Sign + 

Remarkable Sine Functions

A. I Markushevich

Elsevier |  1966   |  100 páginas | 1966 | PDF | 2,12 Mb

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This book is the second volume of a study of the history of mathematics in the nineteenth century. The first part of the book describes the development of geometry. The many varieties of geometry are considered and three main themes are traced: the development of a theory of invariants and forms that determine certain geometric structures such as curves or surfaces.

The Language of Functions and Graphs: An Examination Module for Secondary Schools

Malcolm Swan

Shell Centre & Joint Matriculation Board | 1982 | 240 páginas | PDF | 17,321 Mb


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The Language of Functions and Graphs is now regarded as a classic book on the teaching and assessment of graph interpretation skills.

It focuses on developing fluency in using various mathematical representations to describe and analyse the real world, and on the teaching tactics needed to handle pupil discussion in groups and with the whole class. Unit A of the classroom materials tackles the interpretation and sketching of scatter graphs and line graphs - an area where most pupils need help if they are to go beyond the plotting and reading of points to the global meaning of the graph; this material is accessible to a wide range of abilities. Unit B develops modeling skills - the search for patterns in a realistic situation and their expression in verbal, graphical and algebraic forms: this unit is more challenging. Each Unit takes about two weeks of mathematics time in the 13-16 age range. In addition there is a collection of further problems, as well as the assessment tasks with marking schemes for GCSE.

"By addressing the query of 'how do you assess open ended problem solving', the Shell team generated a classic resource, from which has grown the substantial literature of alternative assessment of today." - AAMT

"The materials are very well produced with attractive worksheets and an abundance of materials from which to select." - Mathematical Gazett

Gama simple - ¿Cómo construir las gráficas

G. E. Shílov

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Descrição: La música se base en el tono musical o en el sonido de una altura determinada que representa un proceso oscilatorio que con cierta frecuencia vehícula por el aire. Aunque nuestro oído percibe tonos por una banda de frecuencias bastante amplia, en música nosotros utilizamos un número de tonos relativamente pequeño. El problema acerca de qué tonos debe poseer la escala musical se resuelve por métodos matemáticos. A ello está dedicado el presente folleto. En éste se exponen los procedimientos más simples para construir gráficas de las funciones, empleando en calidad de ejemplos las dependencias directa e inversa proporcional y los polinomios de segundo grado. También se muestra cómo, usando estas gráficas, construir las gráficas de las funciones más complicadas.