Functions and Graphs


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.




Fundamentals of Mathematics : Functions and Graphs


Book Description

Fundamentals of Mathematics' isa series of 7 books, which are designed to provide comprehensive study material on a specific area in mathematics. It is an ideal companion for students who would like to master a particular subject area based on their individual requirements. All books in this series provide extensive coverage of the topics supported by numerous solved examples. The concepts are explained in a meticulously manner with ample illustrations and practice exercises (with answers). Overall these booksenables quick learning and aids thorough preparation to crack the various engineering entrance examinations




Fundamentals of Technical Mathematics


Book Description

Fundamentals of Technical Mathematics introduces key, applied mathematics for engineering technologists and technicians. Through a simple, engaging approach, the book reviews basic mathematics, including whole numbers, fractions, mixed numbers, decimals, percentages, ratios, and proportions. The book covers conversions to different units of measure (standard and/or metric) and other topics as required by specific businesses and industries, providing a go-to resource on the topic. Building on these foundations, it then explores concepts in arithmetic, introductory algebra, equations, inequalities, and modeling, graphs and functions, measurement, geometry, and trigonometry, all the while supporting these concepts with practical applications in a variety of technical and career vocations, including automotive, allied health, welding, plumbing, machine tool, carpentry, auto mechanics, HVAC, and many other fields. In addition, the book provides practical examples from a vast number of technologies. - Presents foundational math concepts in a concise, engaging way - Covers conversions to different units of measure (standard and/or metric) and other topics as required by specific businesses and industries - Reviews basic mathematics, including whole numbers, fractions, mixed numbers, decimals, percentages, ratios, and proportions - Connects concepts with recent applications in technology, engineering, manufacturing, and science - Includes many practice and review problems




Handbook of Mathematical Functions


Book Description

An extensive summary of mathematical functions that occur in physical and engineering problems




Introduction to Graph Theory


Book Description

Aimed at "the mathematically traumatized," this text offers nontechnical coverage of graph theory, with exercises. Discusses planar graphs, Euler's formula, Platonic graphs, coloring, the genus of a graph, Euler walks, Hamilton walks, more. 1976 edition.




Fundamentals of Mathematics


Book Description

Aimed at adults who need to review basic mathematical concepts and skills, this workbook by instructors at Portland Community College, Oregon, includes concept reviews, exercises of different levels, group projects, and highlighted tips. Coverage spans arithmetic basics from whole numbers to ratio and proportion, measurement and geometry, and an al




Fundamentals of Mathematics - Differential Calculus


Book Description

Fundamentals of Mathematics is a series of seven books offering comprehensive study material to crack the various engineering entrance examinations. As other books in the series, this book also provides extensive coverage of the specific topic. It meticulously explains concepts supplemented with numerous illustrations, examples and practice exercises which facilitates conceptual clarity.




Fundamentals of Mathematics in Medical Research: Theory and Cases


Book Description

Fundamentals of Mathematics in Medical Research: Theory and Cases is a comprehensive guide to the mathematical principles and methods used in medical research. This book is structured to facilitate learning and application and gives a solid foundation to readers. The book is divided into multiple parts that explain basic concepts in a progressive way. - Part I covers real-valued functions of one or more variables with geometric representations to establish a core understanding of advanced mathematics - Part II covers inferential methods of probability and statistics from basic probability to parametric and nonparametric tests - Part III covers correlation theory and advanced analysis of real-valued functions - Part IV covers multivariable analysis for solving complex problems with an explanation of Markov Chain models - An Appendix provides solutions for all exercises and along with Fortran 90 programs, Python scripts and Linux scripts to explore the mathematical concepts explained in the book. Key Features: Introduction and Conclusion in Every Chapter Exercises and Solutions Program codes and scripts Comprehensive Coverage of Mathematics for Academics and Research Real-World Cases This book is an essential resource for researchers, students, and professionals in medicine and allied fields who seek to understand and apply mathematical methods in their work.




Domination in Graphs


Book Description

""Presents the latest in graph domination by leading researchers from around the world-furnishing known results, open research problems, and proof techniques. Maintains standardized terminology and notation throughout for greater accessibility. Covers recent developments in domination in graphs and digraphs, dominating functions, combinatorial problems on chessboards, and more.




Fundamentals of Number Theory


Book Description

This excellent textbook introduces the basics of number theory, incorporating the language of abstract algebra. A knowledge of such algebraic concepts as group, ring, field, and domain is not assumed, however; all terms are defined and examples are given — making the book self-contained in this respect. The author begins with an introductory chapter on number theory and its early history. Subsequent chapters deal with unique factorization and the GCD, quadratic residues, number-theoretic functions and the distribution of primes, sums of squares, quadratic equations and quadratic fields, diophantine approximation, and more. Included are discussions of topics not always found in introductory texts: factorization and primality of large integers, p-adic numbers, algebraic number fields, Brun's theorem on twin primes, and the transcendence of e, to mention a few. Readers will find a substantial number of well-chosen problems, along with many notes and bibliographical references selected for readability and relevance. Five helpful appendixes — containing such study aids as a factor table, computer-plotted graphs, a table of indices, the Greek alphabet, and a list of symbols — and a bibliography round out this well-written text, which is directed toward undergraduate majors and beginning graduate students in mathematics. No post-calculus prerequisite is assumed. 1977 edition.