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Conflicts between Generalization, Rigor, and Intuition: Number Concepts Underlying the Development of Analysis in 17-19th Century France and Germany
Gert Schubring
Resumen/Descripción – provisto por la editorial
No disponible.
Palabras clave – provistas por la editorial
History of Mathematical Sciences; Analysis
Disponibilidad
Institución detectada | Año de publicación | Navegá | Descargá | Solicitá |
---|---|---|---|---|
No detectada | 2005 | SpringerLink |
Información
Tipo de recurso:
libros
ISBN impreso
978-0-387-22836-5
ISBN electrónico
978-0-387-28273-2
Editor responsable
Springer Nature
País de edición
Reino Unido
Fecha de publicación
2005
Información sobre derechos de publicación
© Springer Science+Business Media, Inc. 2005
Cobertura temática
Tabla de contenidos
Question and Method
Gert Schubring
Inmates are disproportionately impacted by communicable diseases such as HIV and viral hepatitis (Hammett et al., 2002, BOJ Statistics, 2002). Once incarcerated, the conditions that exist in most of the world’s jails and prisons create an ideal environment for the transmission of contagious diseases. Overcrowded communal living environments, delays in medical treatment, insufficient access to clean laundry, soap, and water, and prohibitions against the use of harm reduction measures such as condoms and needle exchange increase the probability that infectious diseases will be transmitted from one inmate to another. The transient status of inmates who are frequently and often abruptly moved from one location to another complicates the diagnosis of infection, recognition of an outbreak, interruption of transmission, performance of a contact investigation, and eradication of disease. In this chapter, I will explore the disproportionate impact of infectious diseases in jails and prisons on the health of the society at large, discuss some of the unique challenges and opportunities that exist in correctional public health, review the importance of enhanced interjurisdictional cooperation, and advocate for the creation of a more seamless system of health care for individuals as they move throughout the criminal justice system and return to the free world. Furthermore, I will address the importance of linking correctional health care with public health and community health providers, and argue for the importance of correctional settings as frontlines in our national strategies to reduce the prevalence of preventable diseases. These issues will be explored by discussing two illustrative diseases that significantly impact on the incarcerated: HIV and viral hepatitis.
Pp. 1-13
Paths Toward Algebraization — Development to the Eighteenth Century. The Number Field
Gert Schubring
Inmates are disproportionately impacted by communicable diseases such as HIV and viral hepatitis (Hammett et al., 2002, BOJ Statistics, 2002). Once incarcerated, the conditions that exist in most of the world’s jails and prisons create an ideal environment for the transmission of contagious diseases. Overcrowded communal living environments, delays in medical treatment, insufficient access to clean laundry, soap, and water, and prohibitions against the use of harm reduction measures such as condoms and needle exchange increase the probability that infectious diseases will be transmitted from one inmate to another. The transient status of inmates who are frequently and often abruptly moved from one location to another complicates the diagnosis of infection, recognition of an outbreak, interruption of transmission, performance of a contact investigation, and eradication of disease. In this chapter, I will explore the disproportionate impact of infectious diseases in jails and prisons on the health of the society at large, discuss some of the unique challenges and opportunities that exist in correctional public health, review the importance of enhanced interjurisdictional cooperation, and advocate for the creation of a more seamless system of health care for individuals as they move throughout the criminal justice system and return to the free world. Furthermore, I will address the importance of linking correctional health care with public health and community health providers, and argue for the importance of correctional settings as frontlines in our national strategies to reduce the prevalence of preventable diseases. These issues will be explored by discussing two illustrative diseases that significantly impact on the incarcerated: HIV and viral hepatitis.
Pp. 15-150
Paths toward Algebraization — The Field of Limits: The Development of Infinitely Small Quantities
Gert Schubring
Inmates are disproportionately impacted by communicable diseases such as HIV and viral hepatitis (Hammett et al., 2002, BOJ Statistics, 2002). Once incarcerated, the conditions that exist in most of the world’s jails and prisons create an ideal environment for the transmission of contagious diseases. Overcrowded communal living environments, delays in medical treatment, insufficient access to clean laundry, soap, and water, and prohibitions against the use of harm reduction measures such as condoms and needle exchange increase the probability that infectious diseases will be transmitted from one inmate to another. The transient status of inmates who are frequently and often abruptly moved from one location to another complicates the diagnosis of infection, recognition of an outbreak, interruption of transmission, performance of a contact investigation, and eradication of disease. In this chapter, I will explore the disproportionate impact of infectious diseases in jails and prisons on the health of the society at large, discuss some of the unique challenges and opportunities that exist in correctional public health, review the importance of enhanced interjurisdictional cooperation, and advocate for the creation of a more seamless system of health care for individuals as they move throughout the criminal justice system and return to the free world. Furthermore, I will address the importance of linking correctional health care with public health and community health providers, and argue for the importance of correctional settings as frontlines in our national strategies to reduce the prevalence of preventable diseases. These issues will be explored by discussing two illustrative diseases that significantly impact on the incarcerated: HIV and viral hepatitis.
Pp. 151-256
Culmination of Algebraization and Retour du Refoulé
Gert Schubring
Inmates are disproportionately impacted by communicable diseases such as HIV and viral hepatitis (Hammett et al., 2002, BOJ Statistics, 2002). Once incarcerated, the conditions that exist in most of the world’s jails and prisons create an ideal environment for the transmission of contagious diseases. Overcrowded communal living environments, delays in medical treatment, insufficient access to clean laundry, soap, and water, and prohibitions against the use of harm reduction measures such as condoms and needle exchange increase the probability that infectious diseases will be transmitted from one inmate to another. The transient status of inmates who are frequently and often abruptly moved from one location to another complicates the diagnosis of infection, recognition of an outbreak, interruption of transmission, performance of a contact investigation, and eradication of disease. In this chapter, I will explore the disproportionate impact of infectious diseases in jails and prisons on the health of the society at large, discuss some of the unique challenges and opportunities that exist in correctional public health, review the importance of enhanced interjurisdictional cooperation, and advocate for the creation of a more seamless system of health care for individuals as they move throughout the criminal justice system and return to the free world. Furthermore, I will address the importance of linking correctional health care with public health and community health providers, and argue for the importance of correctional settings as frontlines in our national strategies to reduce the prevalence of preventable diseases. These issues will be explored by discussing two illustrative diseases that significantly impact on the incarcerated: HIV and viral hepatitis.
Pp. 257-308
Le Retour du Refoulé: From the Perspective of Mathematical Concepts
Gert Schubring
Inmates are disproportionately impacted by communicable diseases such as HIV and viral hepatitis (Hammett et al., 2002, BOJ Statistics, 2002). Once incarcerated, the conditions that exist in most of the world’s jails and prisons create an ideal environment for the transmission of contagious diseases. Overcrowded communal living environments, delays in medical treatment, insufficient access to clean laundry, soap, and water, and prohibitions against the use of harm reduction measures such as condoms and needle exchange increase the probability that infectious diseases will be transmitted from one inmate to another. The transient status of inmates who are frequently and often abruptly moved from one location to another complicates the diagnosis of infection, recognition of an outbreak, interruption of transmission, performance of a contact investigation, and eradication of disease. In this chapter, I will explore the disproportionate impact of infectious diseases in jails and prisons on the health of the society at large, discuss some of the unique challenges and opportunities that exist in correctional public health, review the importance of enhanced interjurisdictional cooperation, and advocate for the creation of a more seamless system of health care for individuals as they move throughout the criminal justice system and return to the free world. Furthermore, I will address the importance of linking correctional health care with public health and community health providers, and argue for the importance of correctional settings as frontlines in our national strategies to reduce the prevalence of preventable diseases. These issues will be explored by discussing two illustrative diseases that significantly impact on the incarcerated: HIV and viral hepatitis.
Pp. 309-426
Cauchy’s Compromise Concept
Gert Schubring
Inmates are disproportionately impacted by communicable diseases such as HIV and viral hepatitis (Hammett et al., 2002, BOJ Statistics, 2002). Once incarcerated, the conditions that exist in most of the world’s jails and prisons create an ideal environment for the transmission of contagious diseases. Overcrowded communal living environments, delays in medical treatment, insufficient access to clean laundry, soap, and water, and prohibitions against the use of harm reduction measures such as condoms and needle exchange increase the probability that infectious diseases will be transmitted from one inmate to another. The transient status of inmates who are frequently and often abruptly moved from one location to another complicates the diagnosis of infection, recognition of an outbreak, interruption of transmission, performance of a contact investigation, and eradication of disease. In this chapter, I will explore the disproportionate impact of infectious diseases in jails and prisons on the health of the society at large, discuss some of the unique challenges and opportunities that exist in correctional public health, review the importance of enhanced interjurisdictional cooperation, and advocate for the creation of a more seamless system of health care for individuals as they move throughout the criminal justice system and return to the free world. Furthermore, I will address the importance of linking correctional health care with public health and community health providers, and argue for the importance of correctional settings as frontlines in our national strategies to reduce the prevalence of preventable diseases. These issues will be explored by discussing two illustrative diseases that significantly impact on the incarcerated: HIV and viral hepatitis.
Pp. 427-480
Development of Pure Mathematics in Prussia/Germany
Gert Schubring
Inmates are disproportionately impacted by communicable diseases such as HIV and viral hepatitis (Hammett et al., 2002, BOJ Statistics, 2002). Once incarcerated, the conditions that exist in most of the world’s jails and prisons create an ideal environment for the transmission of contagious diseases. Overcrowded communal living environments, delays in medical treatment, insufficient access to clean laundry, soap, and water, and prohibitions against the use of harm reduction measures such as condoms and needle exchange increase the probability that infectious diseases will be transmitted from one inmate to another. The transient status of inmates who are frequently and often abruptly moved from one location to another complicates the diagnosis of infection, recognition of an outbreak, interruption of transmission, performance of a contact investigation, and eradication of disease. In this chapter, I will explore the disproportionate impact of infectious diseases in jails and prisons on the health of the society at large, discuss some of the unique challenges and opportunities that exist in correctional public health, review the importance of enhanced interjurisdictional cooperation, and advocate for the creation of a more seamless system of health care for individuals as they move throughout the criminal justice system and return to the free world. Furthermore, I will address the importance of linking correctional health care with public health and community health providers, and argue for the importance of correctional settings as frontlines in our national strategies to reduce the prevalence of preventable diseases. These issues will be explored by discussing two illustrative diseases that significantly impact on the incarcerated: HIV and viral hepatitis.
Pp. 481-565
Conflicts Between Confinement to Geometry and Algebraization in France
Gert Schubring
Inmates are disproportionately impacted by communicable diseases such as HIV and viral hepatitis (Hammett et al., 2002, BOJ Statistics, 2002). Once incarcerated, the conditions that exist in most of the world’s jails and prisons create an ideal environment for the transmission of contagious diseases. Overcrowded communal living environments, delays in medical treatment, insufficient access to clean laundry, soap, and water, and prohibitions against the use of harm reduction measures such as condoms and needle exchange increase the probability that infectious diseases will be transmitted from one inmate to another. The transient status of inmates who are frequently and often abruptly moved from one location to another complicates the diagnosis of infection, recognition of an outbreak, interruption of transmission, performance of a contact investigation, and eradication of disease. In this chapter, I will explore the disproportionate impact of infectious diseases in jails and prisons on the health of the society at large, discuss some of the unique challenges and opportunities that exist in correctional public health, review the importance of enhanced interjurisdictional cooperation, and advocate for the creation of a more seamless system of health care for individuals as they move throughout the criminal justice system and return to the free world. Furthermore, I will address the importance of linking correctional health care with public health and community health providers, and argue for the importance of correctional settings as frontlines in our national strategies to reduce the prevalence of preventable diseases. These issues will be explored by discussing two illustrative diseases that significantly impact on the incarcerated: HIV and viral hepatitis.
Pp. 567-600
Summary and Outlook
Gert Schubring
Inmates are disproportionately impacted by communicable diseases such as HIV and viral hepatitis (Hammett et al., 2002, BOJ Statistics, 2002). Once incarcerated, the conditions that exist in most of the world’s jails and prisons create an ideal environment for the transmission of contagious diseases. Overcrowded communal living environments, delays in medical treatment, insufficient access to clean laundry, soap, and water, and prohibitions against the use of harm reduction measures such as condoms and needle exchange increase the probability that infectious diseases will be transmitted from one inmate to another. The transient status of inmates who are frequently and often abruptly moved from one location to another complicates the diagnosis of infection, recognition of an outbreak, interruption of transmission, performance of a contact investigation, and eradication of disease. In this chapter, I will explore the disproportionate impact of infectious diseases in jails and prisons on the health of the society at large, discuss some of the unique challenges and opportunities that exist in correctional public health, review the importance of enhanced interjurisdictional cooperation, and advocate for the creation of a more seamless system of health care for individuals as they move throughout the criminal justice system and return to the free world. Furthermore, I will address the importance of linking correctional health care with public health and community health providers, and argue for the importance of correctional settings as frontlines in our national strategies to reduce the prevalence of preventable diseases. These issues will be explored by discussing two illustrative diseases that significantly impact on the incarcerated: HIV and viral hepatitis.
Pp. 601-617