Search results for "Applied Discrete Structures"
Contributors: Doerr and Levasseur
Publisher: Alan Doerr & Kenneth Levasseur
In writing this book, care was taken to use language and examples that gradually wean students from a simpleminded mechanical approach andmove them toward mathematical maturity. We also recognize that many students who hesitate to ask for help from an instructor need a readable text, and we have tried to anticipate the questions that go unasked.
Publisher: OpenStax CNX
This is a "first course" in the sense that it presumes no previous course in probability. The mathematical prerequisites are ordinary calculus and the elements of matrix algebra. A few standard series and integrals are used, and double integrals are evaluated as iterated integrals. The reader who can evaluate simple integrals can learn quickly from the examples how to deal with the iterated integrals used in the theory of expectation and conditional expectation. Appendix B provides a convenient compendium of mathematical facts used frequently in this work. And the symbolic toolbox, implementing MAPLE, may be used to evaluate integrals, if desired.
Contributors: Keller and Trotter
Publisher: Mitchel T. Keller, William T. Trotter
Applied Combinatorics is an open-source textbook for a course covering the fundamental enumeration techniques (permutations, combinations, subsets, pigeon hole principle), recursion and mathematical induction, more advanced enumeration techniques (inclusion-exclusion, generating functions, recurrence relations, Polyá theory), discrete structures (graphs, digraphs, posets, interval orders), and discrete optimization (minimum weight spanning trees, shortest paths, network flows). There are also chapters introducing discrete probability, Ramsey theory, combinatorial applications of network flows, and a few other nuggets of discrete mathematics.
Publisher: OpenStax CNX
Applied Finite Mathematics covers topics including linear equations, matrices, linear programming, the mathematics of finance, sets and counting, probability, Markov chains, and game theory.
Applied Developmental Systems Science: Everything You Always Wanted to Know About Theories, Meta-Theories, Methods, and Interventions but Didn't Realize You Needed to Ask. An Advanced Textbook
Contributors: Skinner, Kindermann, and Roeser
Publisher: Portland State University Library
This textbook provides a toolbox, a guidebook, and an instruction manual for researchers and interventionists who want to conceptualize and study applied problems from a developmental systems perspective, and for those who want to teach their graduate (or advanced undergraduate) students how to do this. It is designed to be useful to practitioners who focus on applied developmental problems, such as improving the important developmental contexts where people live, learn, and work, including the applied professions in education, social work, counseling, health care, community development, and business, all of which at their core are concerned with optimizing the development of their students, clients, patients, workers, citizens, and others whose lives they touch.
Publisher: Open Oregon Educational Resources
This is a forest measurements textbook written for field technicians. Silvicultural applications and illustrations are provided to demonstrate the relevance of the measurements. Special “technique tips” for each skill are intended to help increase data collection accuracy and confidence. These include how to avoid common pitfalls, effective short cuts and essentials for recording field data correctly. The emphasis is on elementary skills; it is not intended to be a timber cruising guide.
Contributors: Hall and Wallace
Publisher: University System of Georgia
College ESL Writers: Applied Grammar and Composing Strategies for Success is designed as a comprehensive grammar and writing etext for high intermediate and advanced level non-native speakers of English. We open the text with a discussion on the sentence and then break it down into its elemental components, before reconstructing them into effective sentences with paragraphs and larger academic assignments. Following that, we provide instruction in paragraph and essay writing with several opportunities to both review the fundamentals as well as to demonstrate mastery and move on to more challenging assignments.
Contributors: Ahmari, Md Imran Kabir, and Bowers
Publisher: Mavs Open Press
This lab manual provides students with the theory, practical applications, objectives, and laboratory procedure of ten experiments. The manual also includes educational videos showing how student should run each experiment and a workbook for organizing data collected in the lab and preparing result tables and charts.
Publisher: Open SUNY
This is a text that covers the standard topics in a sophomore-level course in discrete mathematics: logic, sets, proof techniques, basic number theory, functions, relations, and elementary combinatorics, with an emphasis on motivation. It explains and clarifies the unwritten conventions in mathematics, and guides the students through a detailed discussion on how a proof is revised from its draft to a final polished form. Hands-on exercises help students understand a concept soon after learning it. The text adopts a spiral approach: many topics are revisited multiple times, sometimes from a different perspective or at a higher level of complexity. The goal is to slowly develop students' problem-solving and writing skills.
Publisher: Oscar Levin
Discrete Mathematics: An Open Introduction is a free, open source textbook appropriate for a first or second year undergraduate course for math majors, especially those who will go on to teach. The textbook has been developed while teaching the Discrete Mathematics course at the University of Northern Colorado. Primitive versions were used as the primary textbook for that course since Spring 2013, and have been used by other instructors as a free additional resource. Since then it has been used as the primary text for this course at UNC, as well as at other institutions.