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Explicit Arithmetic of Jacobians of Generalized Legendre Curves Over Global Function Fields
The authors study the Jacobian $J$ of the smooth projective curve $C$ of genus $r-1$ with affine model $y^r = x^r-1(x + 1)(x + t)$ over the function field $\\mathbb F_p(t)$, when $p$ is prime and $r\\ge 2$ is an integer prime to $p$. When $q$ is a power of $p$ and $d$ is a positive integer, the authors compute the $L$-function of $J$ over $\\mathbb F_q(t^1/d)$ and show that the Birch and Swinnerton-Dyer conjecture holds for $J$ over $\\mathbb F_q(t^1/d)$.
eBook
Understanding Emotional Problems and their Healthy Alternatives
Rational Emotive Behaviour Therapy (REBT) is an approach to
counselling and psychotherapy rooted in the CBT tradition, and one that has a
distinctive perspective on emotional problems.
Rather than discussing treatment methods, Windy Dryden encourages the reader to
understand these problems accurately and suggests that doing so will provide a firm
foundation for effective treatment. This new edition, updated throughout, reflects the
increased interest in helping clients work towards ‘healthy negative emotions’.
Understanding Emotional Problems and their Healthy Alternatives
provides an accurate understanding of the REBT perspective on eight major emotional
problems for which help is sought and their healthy alternatives:
anxiety and concern
depression and sadness
shame and disappointment
guilt and remorse
unhealthy anger and healthy anger
hurt and sorrow
unhealthy jealousy and healthy jealousy
unhealthy envy and healthy envy.
Understanding Emotional Problems and their Healthy Alternatives will be
essential reading for therapists, both in training and in practice.
eBook
The Philosophy of Cognitive—Behavioural Therapy (CBT)
Why should modern psychotherapists be interested in philosophy, especially ancient philosophy? Why should philosophers be interested in psychotherapy? There is a sense of mutual attraction between what are today two thoroughly distinct disciplines. However, arguably it was not always the case that they were so distinct. Donald Robertson takes the view that by reconsidering the generally received wisdom concerning the history of these closely-related subjects, we can learn a great deal about both philosophy and psychotherapy, under which heading he includes potentially solitary pursuits such as self-help and personal development.
eBook
Motivic Euler Products and Motivic Height Zeta Functions
A motivic height zeta function associated to a family of varieties parametrised by a curve is the generating series of the classes,
in the Grothendieck ring of varieties, of moduli spaces of sections of this family with varying degrees. This text is devoted to the
study of the motivic height zeta function associated to a family of varieties with generic fiber having the structure of an equivariant
compactification of a vector group. Our main theorem describes the convergence of this motivic height zeta function with respect to a
topology on the Grothendieck ring of varieties coming from the theory of weights in cohomology. We deduce from it the asymptotic
behaviour, as the degree goes to infinity, of a positive proportion of the coefficients of the Hodge-Deligne polynomial of the above
moduli spaces: in particular, we get an estimate for their dimension and the number of components of maximal dimension. The main tools
for this are a notion of motivic Euler product for series with coefficients in the Grothendieck ring of varieties, an extension of
Hrushovski and Kazhdan’s motivic Poisson summation formula, and a motivic measure on the Grothendieck ring of varieties with
exponentials constructed using Denef and Loeser’s motivic vanishing cycles.
eBook
Cognitive Behaviour Therapy
Uncover the secrets of CBT and apply them to your own life
In the newly revised Third Edition of Cognitive Behaviour Therapy, veteran cognitive behaviour therapist and counsellor Avy Joseph delivers an essential and accessible discussion of how to use the time-tested and proven techniques in cognitive behaviour therapy (CBT) to improve your own life and the lives of others. You'll learn to challenge negative thoughts and unhealthy beliefs about yourself and begin improving your outlook on your personal and professional life.
In the book, you'll find updated scenarios and exercises for the practice of CBT techniques, discussions of how to maintain your mental health in a post-pandemic world and the difference between \"Action Tendencies\" and behaviours. You'll also get:
* Insightful discussions about recent advances in Rational Emotive Behaviour Therapy (REBT) and how it fits with CBT
* Practical strategies for creating a more realistic perception of the events in your life, along with specific techniques – like understanding the difference between malicious and non-malicious envy
* Tips for developing emotional responsibility in practice
A can't-miss resource for anyone interested in using CBT to solve their most intractable personal and professional problems, as well as those looking for evidence-based personal improvement techniques, Cognitive Behaviour Therapy will also earn a place in the libraries of CBT practitioners and therapists seeking a hands-on and accessible treatment of the discipline's most essential subjects.
eBook