Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

The discovery of infinite products by Wallis and infinite series by Newton marked the beginning of the modern mathematical era. It allowed Newton to solve the problem of finding areas under curves defined by algebraic equations, an achievement beyond the scope of the earlier methods of Torricelli, Fermat and Pascal. While Newton and his contemporaries, including Leibniz and the Bernoullis, concentrated on mathematical analysis and physics, Euler's prodigious accomplishments demonstrated that series and products could also address problems in algebra, combinatorics and number theory. In this book, Ranjan Roy describes many facets of the discovery and use of infinite series and products as worked out by their originators, including mathematicians from Asia, Europe and America. The text provides context and motivation for these discoveries, with many detailed proofs, offering a valuable perspective on modern mathematics. Mathematicians, mathematics students, physicists and engineers will all read this book with benefit and enjoyment.

Mathematics --- 51 <09> --- 510 --- 510 Fundamental and general considerations of mathematics. Foundations, logic etc. --- Fundamental and general considerations of mathematics. Foundations, logic etc. --- Historiography --- Mathematics--Geschiedenis van .. --- Mathematics--Geschiedenis van . --- Infinite. --- Historiography. --- Infinity --- Finite, The --- Mathematics--Geschiedenis van

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This is the first volume of a two-volume work that traces the development of series and products from 1380 to 2000 by presenting and explaining the interconnected concepts and results of hundreds of unsung as well as celebrated mathematicians. Some chapters deal with the work of primarily one mathematician on a pivotal topic, and other chapters chronicle the progress over time of a given topic. This updated second edition of Sources in the Development of Mathematics adds extensive context, detail, and primary source material, with many sections rewritten to more clearly reveal the significance of key developments and arguments. Volume 1, accessible to even advanced undergraduate students, discusses the development of the methods in series and products that do not employ complex analytic methods or sophisticated machinery. Volume 2 treats more recent work, including deBranges' solution of Bieberbach's conjecture, and requires more advanced mathematical knowledge.

Mathematics --- Historiography.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Psychology

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Chronic pain affects every facet of a patient's life, and nowhere is this more evident than in the complex arena of family life. Chronic Pain and Family: a Clinical Perspective examines typical family issues associated with prolonged illness, offering realistic ways to approach them in therapy. Informed by current practice and his own experience, noted author/clinician Ranjan Roy brings fresh insights to common pain scenarios and therapeutic impasses, and provides a framework for assessing marital and family relationships when chronic pain is a defining factor. Clinicians will get not only a clearer understanding of sensitive issues, but also effective strategies for engaging clients without turning them off. Coverage includes: Meanings of pain in relationships "Who Does What?": exploring changes in family roles Resistance to treatment: why it occurs and how to work through it Health concerns and other burdens on well spouses and children Sexuality, domestic abuse, and other "silent" issues Case examples demonstrating therapy step-by-step with a range of couples and families For therapists and social workers who deal with this growing population of patients, Chronic Pain and Family: A Clinical Perspective stands at a unique intersection of pain/disability and family resources. Roy's recognition of the family's changing demographics together with his synthesis of clinical knowledge make the book suitable for graduate-level courses as well.

Psychology --- Pharmacology. Therapy --- Psychiatry --- medische psychologie --- farmacologie --- analgesie --- pijn --- klinische psychologie