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An Introduction to Mathematical Modeling
Employing a practical, "learn by doing" approach, this first-rate text fosters the development of the skills beyond the pure mathematics needed to set up and manipulate mathematical models. The author draws on a diversity of fields — including science, engineering, and operations research — to provide over 100 reality-based examples. Students learn from the examples by applying mathematical methods to formulate, analyze, and criticize models. Extensive documentation, consisting of over 150 references, supplements the models, encouraging further research on models of particular interest. The lively and accessible text requires only minimal scientific background. Designed for senior colleg...
Foundations of Combinatorics with Applications
This introduction to combinatorics, the foundation of the interaction between computer science and mathematics, is suitable for upper-level undergraduates and graduate students in engineering, science, and mathematics. The four-part treatment begins with a section on counting and listing that covers basic counting, functions, decision trees, and sieving methods. The following section addresses fundamental concepts in graph theory and a sampler of graph topics. The third part examines a variety of applications relevant to computer science and mathematics, including induction and recursion, sorting theory, and rooted plane trees. The final section, on generating functions, offers students a powerful tool for studying counting problems. Numerous exercises appear throughout the text, along with notes and references. The text concludes with solutions to odd-numbered exercises and to all appendix exercises.
Mathematics for Algorithm and Systems Analysis
Discrete mathematics is fundamental to computer science, and this up-to-date text assists undergraduates in mastering the ideas and mathematical language to address problems that arise in the field's many applications. It consists of 4 units of study: counting and listing, functions, decision trees and recursion, and basic concepts of graph theory.
Mathematical Methods in Artificial Intelligence
Mathematical Methods in Artificial Intelligence introduces the student to the important mathematical foundations and tools in AI and describes their applications to the design of AI algorithms. This useful text presents an introductory AI course based on the most important mathematics and its applications. It focuses on important topics that are proven useful in AI and involve the most broadly applicable mathematics. The book explores AI from three different viewpoints: goals, methods or tools, and achievements and failures. Its goals of reasoning, planning, learning, or language understanding and use are centered around the expert system idea. The tools of AI are presented in terms of what ...
Becoming a Therapist
Revised and expanded for the digital age, this trusted guidebook and text helps novice psychotherapists of any orientation bridge the gap between coursework and clinical practice. It offers a window into what works and what doesn't work in interactions with patients, the ins and outs of the therapeutic relationship, and how to manage common clinical dilemmas. Featuring rich case examples, the book speaks directly to the questions, concerns, and insecurities of novice clinicians. Reproducible forms to aid in treatment planning can be downloaded and printed in a convenient 8 1/2" x 11" size. New to This Edition *Reflects two decades of technological changes--covers how to develop email and texting policies, navigate social media, use electronic medical records, and optimize teletherapy. *New chapters on professional development and on managing the impact of therapist life events (pregnancy and parental leave, vacations, medical issues). *Instructive discussion of systemic racism, cultural humility, and implicit bias. *Significantly revised chapter on substance use disorders, with a focus on motivational interviewing techniques. *Reproducible/downloadable Therapist Tools.
A Short Course in Discrete Mathematics
What sort of mathematics do I need for computer science? In response to this frequently asked question, a pair of professors at the University of California at San Diego created this text. Its sources are two of the university's most basic courses: Discrete Mathematics, and Mathematics for Algorithm and System Analysis. Intended for use by sophomores in the first of a two-quarter sequence, the text assumes some familiarity with calculus. Topics include Boolean functions and computer arithmetic; logic; number theory and cryptography; sets and functions; equivalence and order; and induction, sequences, and series. Multiple choice questions for review appear throughout the text. Original 2005 edition. Notation Index. Subject Index.
Lest They Forget Freedom's Price
"Lest They Forget Freedom's Price," is the fascinating story of B-17 bomber pilot Edward M. Bender (USAAFR retired Lt. Col.), who describes his flight training, bomber missions, capture, and time as a POW in Europe during World War II. When a fire forces the crew of his Flying Fortress down in enemy-occupied France, Lt. Bender is captured by a unit of teenage NAZI recruits from Adolph Hitler's youth corps. He describes his year as a prisoner of the Third Reich at camps in Sagan, Nurnberg, and Moosburg, and the bitterly cold forced march of Winter 1945, when the Germans and POWs evacuated the Stalag Luft III prison camp in anticipation of the advancing Russian army. Finally, Lt. Bender is liberated by Gen. George Patton's army and returns home to adapt to the challenges of life in post-war America. Filled with humor and pathos, this narrative provides a portrait of life in war-time Europe and America, and the challenges faced by an American airman and POW.
Corporate Financial Strategy
Corporate Financial Strategy is a practical guide to understanding the elements of financial strategy, and how directors and advisors can add value by tailoring financial strategy to complement corporate strategy. The book sets out appropriate financial strategies over the key milestones in a company's life. It discusses the practicalities behind transactions such as: * Raising venture capital * Flotation on a stock exchange * Making acquisitions * Management buyouts * Financial restructuring In explaining financing structures, the book sets out the basic building blocks of any financial instrument to enable the reader to appreciate innovations in the field. It also illustrates how and why d...
Concepts of Mathematical Modeling
Appropriate for undergraduate and graduate students, this text features independent sections that illustrate the most important principles of mathematical modeling, a variety of applications, and classic models. Students with a solid background in calculus and some knowledge of probability and matrix theory will find the material entirely accessible. The range of subjects includes topics from the physical, biological, and social sciences, as well as those of operations research. Discussions cover related mathematical tools and the historical eras from which the applications are drawn. Each section is preceded by an abstract and statement of prerequisites, and answers or hints are provided for selected exercises. 1984 edition.
Foundations of Applied Combinatorics
This introduction to combinatorics is suitable for upper-level undergraduates and graduate students in engineering, science, and mathematics. The four-part treatment begins with a section on counting and listing that covers basic counting, functions, decision trees, and sieving methods. The following section addresses fundamental concepts in graph theory and a sampler of graph topics. The third part examines induction and recursion, sorting theory, and rooted plane trees. The final section, on generating functions, offers students a powerful tool for studying counting problems. Numerous exercises (some with solutions), notes, and references appear throughout the text. 75 figures. Appendixes.
