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Originally published in 1914, this book provides a concise proof of Cauchy's Theorem, with applications of the theorem to the evaluation of definite integrals.
Enabling patients’ minds to change the structure of their brains. Beatriz and Albert Sheldon have spent the last 20 years developing the novel therapeutic paradigm called Complex Integration of Multiple Brain Systems (CIMBS). They have pioneered new methodology for "reading" and assessing emotional states using their patients’ carefully observed psychophysiological phenomena as empirical evidence. CIMBS also incorporates the latest groundbreaking research on neuroplasticity, brain development, and therapeutic change. This book details their novel neurobiological and psychotherapeutic paradigm—and reveals how therapists can use it for more successful treatment. Clients come to therapy troubled by deeply ingrained neural circuits and emotional habits. The authors demonstrate how they use psychophysiological perspectives to recognize limitations in brain systems that are interfering with their patients’ functioning. And through “physiopsychotherapy,” they activate self-affirming, nonconscious emotional resources to change rigid, maladaptive neural circuits. CIMBS offers a way of “integrating” these [brain system] resources to foster more complex and flexible mental functioning and to produce more successful psychotherapeutic outcomes. The therapeutic attachment relationship between therapist and patient, and “present moment” experiences within the session rather than recollections of past trauma, are key elements in this unique emotional resource-based mode of therapy. This book is wide-ranging in documenting CIMBS' success at operationalizing neuroscience research. Translating their academic, scientific, and clinical research and successful training courses into a reference work that you can hold in your hands and savor at leisure, the Sheldons have produced an approachable, intriguing, yet comprehensive milestone in the psychotherapeutic literature.
The theory of complex functions is a strikingly beautiful and powerful area of mathematics. Some particularly fascinating examples are seemingly complicated integrals which are effortlessly computed after reshaping them into integrals along contours, as well as apparently difficult differential and integral equations, which can be elegantly solved using similar methods. To use them is sometimes routine but in many cases it borders on an art. The goal of the book is to introduce the reader to this beautiful area of mathematics and to teach him or her how to use these methods to solve a variety of problems ranging from computation of integrals to solving difficult integral equations. This is done with a help of numerous examples and problems with detailed solutions.
Enabling patients’ minds to change the structure of their brains. Beatriz and Albert Sheldon have spent the last 20 years developing the novel therapeutic paradigm called Complex Integration of Multiple Brain Systems (CIMBS). They have pioneered new methodology for "reading" and assessing emotional states using their patients’ carefully observed psychophysiological phenomena as empirical evidence. CIMBS also incorporates the latest groundbreaking research on neuroplasticity, brain development, and therapeutic change. This book details their novel neurobiological and psychotherapeutic paradigm—and reveals how therapists can use it for more successful treatment. Clients come to therapy troubled by deeply ingrained neural circuits and emotional habits. The authors demonstrate how they use psychophysiological perspectives to recognize limitations in brain systems that are interfering with their patients’ functioning. And through “physiopsychotherapy,” they activate self-affirming, nonconscious emotional resources to change rigid, maladaptive neural circuits. CIMBS offers a way of “integrating” these [brain system] resources to foster more complex and flexible mental functioning and to produce more successful psychotherapeutic outcomes. The therapeutic attachment relationship between therapist and patient, and “present moment” experiences within the session rather than recollections of past trauma, are key elements in this unique emotional resource-based mode of therapy. This book is wide-ranging in documenting CIMBS' success at operationalizing neuroscience research. Translating their academic, scientific, and clinical research and successful training courses into a reference work that you can hold in your hands and savor at leisure, the Sheldons have produced an approachable, intriguing, yet comprehensive milestone in the psychotherapeutic literature.
The interface of evolution and development has attracted the attention of evolutionary and developmental biologists, geneticists, and organismal biologists. Pigliucci (ecology, evolutionary biology, University of Tennessee) and Preston (botany, Standford University) bring together work by experts in the field of phenotype integration, shedding ligh.
Integrals and sums are not generally considered for evaluation using complex integration. This book proposes techniques that mainly use complex integration and are quite different from those in the existing texts. Such techniques, ostensibly taught in Complex Analysis courses to undergraduate students who have had two semesters of calculus, are usually limited to a very small set of problems. Few practitioners consider complex integration as a tool for computing difficult integrals. While there are a number of books on the market that provide tutorials on this subject, the existing texts in this field focus on real methods. Accordingly, this book offers an eye-opening experience for computation enthusiasts used to relying on clever substitutions and transformations to evaluate integrals and sums. The book is the result of nine years of providing solutions to difficult calculus problems on forums such as Math Stack Exchange or the author's website, residuetheorem.com. It serves to detail to the enthusiastic mathematics undergraduate, or the physics or engineering graduate student, the art and science of evaluating difficult integrals, sums, and products.
Concerned with the management of complex long-term engineering projects, this important volume, of great interest to postgraduate students of business, technology management and engineering, reports on a set of rich, novel and unique findings concerning the conduct and management of three high profile and complex projects. The major investments which constitute complex long-term projects represent an increasingly important source of economic activity, often with particularly significant consequences for economic growth and public policy. This informative volume expertly contributes to broader debates concerning new organizational forms, knowledge management and organizational learning and the management of innovation in project-based settings.
Presents applications as well as the basic theory of analytic functions of one or several complex variables. The first volume discusses applications and basic theory of conformal mapping and the solution of algebraic and transcendental equations. Volume Two covers topics broadly connected with ordinary differental equations: special functions, integral transforms, asymptotics and continued fractions. Volume Three details discrete fourier analysis, cauchy integrals, construction of conformal maps, univalent functions, potential theory in the plane and polynomial expansions.
This book proposes a comprehensive conceptualization of policy integration and negotiates pertinent theoretical, methodological and applied issues from the perspective of selected EU policies - rural development, regional development, transport, social, economic, environmental, water resources, and biodiversity policy.
An introduction to complex analysis for students with some knowledge of complex numbers from high school. It contains sixteen chapters, the first eleven of which are aimed at an upper division undergraduate audience. The remaining five chapters are designed to complete the coverage of all background necessary for passing PhD qualifying exams in complex analysis. Topics studied include Julia sets and the Mandelbrot set, Dirichlet series and the prime number theorem, and the uniformization theorem for Riemann surfaces, with emphasis placed on the three geometries: spherical, euclidean, and hyperbolic. Throughout, exercises range from the very simple to the challenging. The book is based on lectures given by the author at several universities, including UCLA, Brown University, La Plata, Buenos Aires, and the Universidad Autonomo de Valencia, Spain.