Search Constraints
Number of results to display per page
Results for:
Language
English
Remove constraint Language: English
Search Results
-
e-book
This book is an introduction to combinatorial mathematics, also known as combinatorics. The book focuses especially but not exclusively on the part of combinatorics that mathematicians refer to as “counting.” The book consists almost entirely of problems. Some of the problems are designed to lead you to think about a concept, others are designed to help you figure out a concept and state a theorem about it, while still others ask you to prove the theorem. Other problems give you a chance to use a theorem you have proved. From time to time there is a discussion that pulls together some of the things you have learned or introduces a new idea for you to work with. Many of the problems are designed to build up your intuition for how combinatorial mathematics works. There are problems that some people will solve quickly, and there are problems that will take days of thought for everyone. Probably the best way to use this book is to work on a problem until you feel you are not making progress and then go on to the next one. Think about the problem you couldn't get as you do other things. The next chance you get, discuss the problem you are stymied on with other members of the class. Often you will all feel you've hit dead ends, but when you begin comparing notes and listening carefully to each other, you will see more than one approach to the problem and be able to make some progress. In fact, after comparing notes you may realize that there is more than one way to interpret the problem. In this case your first step should be to think together about what the problem is actually asking you to do. You may have learned in school that for every problem you are given, there is a method that has already been taught to you, and you are supposed to figure out which method applies and apply it. That is not the case here. Based on some simplified examples, you will discover the method for yourself. Later on, you may recognize a pattern that suggests you should try to use this method again.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Textbooks Combinatorial analysis
- Resource Type:
- e-book
-
e-book
This book is designed for the transition course between calculus and differential equations and the upper division mathematics courses with an emphasis on proof and abstraction. The book has been used by the author and several other faculty at Southern Connecticut State University. There are nine chapters and more than enough material for a semester course. Student reviews are favorable. It is written in an informal, conversational style with a large number of interesting examples and exercises, so that a student learns to write proofs while working on engaging problems.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Textbooks Mathematics
- Resource Type:
- e-book
-
e-book
Prior to 1990, the performance of a student in precalculus at the University of Washington was not a predictor of success in calculus. For this reason, the mathematics department set out to create a new course with a specific set of goals in mind: A review of the essential mathematics needed to succeed in calculus. An emphasis on problem solving, the idea being to gain both experience and confidence in working with a particular set of mathematical tools. This text was created to achieve these goals and the 2004-05 academic year marks the eleventh year in which it has been used. Several thousand students have successfully passed through the course. This book is full of worked out examples. We use the the notation “Soluion.” to indicate where the reasoning for a problem begins; the symbol ?? is used to indicate the end of the solution to a problem. There is a Table of Contents that is useful in helping you find a topic treated earlier in the course. It is also a good rough outline when it comes time to study for the final examination. The book also includes an index at the end. Finally, there is an appendix at the end of the text with ”answers” to most of the problems in the text. It should be emphasized these are ”answers” as opposed to ”solutions”. Any homework problems you may be asked to turn in will require you include all your work; in other words, a detailed solution. Simply writing down the answer from the back of the text would never be sufficient; the answers are intended to be a guide to help insure you are on the right track.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Precalculus Textbooks
- Resource Type:
- e-book
-
e-book
This is Volume 3 in a three volume series written for Contracts Law. Its former title is "Collaborative Teaching Materials for Contracts." The first semester of law school is mostly about learning to speak a new legal language (but emphatically not “legalese”), to formulate and evaluate legal arguments, to become comfortable with the distinctive style of legal analysis. We could teach these skills using almost any legal topic. But we begin the first-year curriculum with subjects that pervade the entire field of law. Contract principles have a long history and they form a significant part of the way that lawyers think about many legal problems. As you will discover when you study insurance law, employment law, family law, and dozens of other practice areas, your knowledge of contract doctrine and theory will be invaluable.
- Subjects:
- Law and Legislation
- Keywords:
- Contracts United States Law Textbooks
- Resource Type:
- e-book
-
e-book
Offered as an introduction to the field of data structures and algorithms, Open Data Structures covers the implementation and analysis of data structures for sequences (lists), queues, priority queues, unordered dictionaries, ordered dictionaries, and graphs. Focusing on a mathematically rigorous approach that is fast, practical, and efficient, Morin clearly and briskly presents instruction along with source code. Analyzed and implemented in Java, the data structures presented in the book include stacks, queues, deques, and lists implemented as arrays and linked-lists; space-efficient implementations of lists; skip lists; hash tables and hash codes; binary search trees including treaps, scapegoat trees, and red-black trees; integer searching structures including binary tries, x-fast tries, and y-fast tries; heaps, including implicit binary heaps and randomized meldable heaps; graphs, including adjacency matrix and adjacency list representations; and B-trees. A modern treatment of an essential computer science topic, Open Data Structures is a measured balance between classical topics and state-of-the art structures that will serve the needs of all undergraduate students or self-directed learners.
- Subjects:
- Computing, Data Science and Artificial Intelligence
- Keywords:
- Textbooks Data structures (Computer science) Computer algorithms
- Resource Type:
- e-book
-
e-book
Cognitive science arose in the 1950s when it became apparent that a number of disciplines, including psychology, computer science, linguistics, and philosophy, were fragmenting. Perhaps owing to the field's immediate origins in cybernetics, as well as to the foundational assumption that cognition is information processing, cognitive science initially seemed more unified than psychology. However, as a result of differing interpretations of the foundational assumption and dramatically divergent views of the meaning of the term information processing, three separate schools emerged: classical cognitive science, connectionist cognitive science, and embodied cognitive science. Examples, cases, and research findings taken from the wide range of phenomena studied by cognitive scientists effectively explain and explore the relationship among the three perspectives. Intended to introduce both graduate and senior undergraduate students to the foundations of cognitive science, Mind, Body, World addresses a number of questions currently being asked by those practicing in the field: What are the core assumptions of the three different schools? What are the relationships between these different sets of core assumptions? Is there only one cognitive science, or are there many different cognitive sciences? Giving the schools equal treatment and displaying a broad and deep understanding of the field, Dawson highlights the fundamental tensions and lines of fragmentation that exist among the schools and provides a refreshing and unifying framework for students of cognitive science.
- Subjects:
- Psychology
- Keywords:
- Cognitive science Textbooks
- Resource Type:
- e-book
-
e-book
Fundamentals of Mathematics is a work text that covers the traditional study in a modern prealgebra course, as well as the topics of estimation, elementary analytic geometry, and introductory algebra. It is intended for students who: have had previous courses in prealgebra wish to meet the prerequisites of higher level courses such as elementary algebra need to review fundamental mathematical concenpts and techniques This text will help the student devlop the insight and intuition necessary to master arithmetic techniques and manipulative skills. It was written with the following main objectives: to provide the student with an understandable and usable source of information to provide the student with the maximum oppurtinity to see that arithmetic concepts and techniques are logically based to instill in the student the understanding and intuitive skills necessary to know how and when to use particular arithmetic concepts in subsequent material cources and nonclassroom situations to give the students the ability to correctly interpret arithmetically obtained results We have tried to meet these objects by presenting material dynamically much the way an instructure might present the material visually in a classroom. (See the development of the concept of addition and subtraction of fractions in section 5.3 for examples) Intuition and understanding are some of the keys to creative thinking, we belive that the material presented in this text will help students realize that mathematics is a creative subject.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Textbooks Mathematics
- Resource Type:
- e-book
-
e-book
Mayer, Warner, Siedel and Lieberman's Government Regulation and the Legal Environment of Business is an up-to-date textbook that covers legal issues that students must understand in today's highly regulated business environment. The text is organized to permit instructors to tailor the materials to their particular approach. The authors take special care to engage students by relating law to everyday events with their clear, concise and readable style. After introductory chapters covering the legal environment of business, Government Regulation and the Legal Environment of Business provides students with context and essential legal concepts relating to contracts, consumer credit transactions, bankruptcy, intellectual property, securities regulation, regulation of real estate, antitrust, unfair trade practices, employment law and labor relations. The text provides the vocabulary and legal savvy they will need to talk in an educated way to customers, suppliers, employees, creditors, shareholders, government regulators and other stakeholders — and to their own lawyers.
- Subjects:
- Law and Legislation
- Keywords:
- Business United States Law Textbooks
- Resource Type:
- e-book
-
e-book
This chapter's objective is to raise interesting tax ethics issues in practical contexts. There are 43 notes and questions to prompt and guide discussions, and primary source materials to inform the discussions (e.g., cases, IRC provisions, and Circular 230 excerpts). These Teaching Notes flesh out the notes and questions, summarize the cases, and provide additional information and suggestions for readings. Of course, the ultimate test for casebook materials lies in student interaction based on the materials, so I assigned the materials to my students, and, taking their reaction into account, I have made suggestions below as to materials to eliminate or emphasize in customizing for your own class. Faculty materials also available: In addition to the free, open learning materials for students listed above, this eLangdell chapter includes a teacher's manual. Faculty and staff at CALI member schools can access this and other faculty-only materials by logging in to eLangdell with their cali.org username and password. Contact CALI if you have questions.
- Subjects:
- Business Ethics
- Keywords:
- Lawyers Tax lawyers Legal ethics Textbooks
- Resource Type:
- e-book
-
e-book
These are the Federal Rules of Civil Procedure (FRCP) as amended to December 01, 2016. The FRCP govern civil proceedings in the United States district courts and are often the foundation for the standard 1L law school course, Civil Procedure.
- Keywords:
- Civil procedure Court rules Textbooks United States
- Resource Type:
- e-book