Focusing on the practical application of psychotherapy, this revised guidebook equips novice therapists with essential insights into effective patient interactions and the therapeutic relationship. It addresses common clinical dilemmas through detailed case examples, directly responding to the challenges faced by new clinicians. Additionally, it offers downloadable reproducible forms to assist in treatment planning, making it a valuable resource for bridging academic knowledge and real-world practice.
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 college or beginning graduate-level students, it assumes only elementary calculus and basic probability theory for the first part, and ordinary differential equations and continuous probability for the second section. All problems require students to study and create models, encouraging their active participation rather than a mechanical approach.Beyond the classroom, this volume will prove interesting and rewarding to anyone concerned with the development of mathematical models or the application of modeling to problem solving in a wide array of applications.
