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Real Mathematical Analysis
Was plane geometry your favourite math course in high school? Did you like proving theorems? Are you sick of memorising integrals? If so, real analysis could be your cup of tea. In contrast to calculus and elementary algebra, it involves neither formula manipulation nor applications to other fields of science. None. It is Pure Mathematics, and it is sure to appeal to the budding pure mathematician. In this new introduction to undergraduate real analysis the author takes a different approach from past studies of the subject, by stressing the importance of pictures in mathematics and hard problems. The exposition is informal and relaxed, with many helpful asides, examples and occasional comments from mathematicians like Dieudonne, Littlewood and Osserman. The author has taught the subject many times over the last 35 years at Berkeley and this book is based on the honours version of this course. The book contains an excellent selection of more than 500 exercises.
Invariant Manifolds
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A First Course in Real Analysis
The first course in analysis which follows elementary calculus is a critical one for students who are seriously interested in mathematics. Traditional advanced calculus was precisely what its name indicates-a course with topics in calculus emphasizing problem solving rather than theory. As a result students were often given a misleading impression of what mathematics is all about; on the other hand the current approach, with its emphasis on theory, gives the student insight in the fundamentals of analysis. In A First Course in Real Analysis we present a theoretical basis of analysis which is suitable for students who have just completed a course in elementary calculus. Since the sixteen chap...
Anthropocene Islands
'A must read … a new analytical agenda for the Anthropocene, coherently drawing out the power of thinking with islands.' – Elena Burgos Martinez, Leiden University ‘This is an essential book. [The] analytics they propose … offer both a critical agenda for island studies and compass points through which to navigate the haunting past, troubling present, and precarious future.’ – Craig Santos Perez, University of Hawai’i, Manoa ‘All academic books should be like this: hard to put down. Informative, careful, sometimes devasting, yet absolutely necessary - if you read one book about the Anthropocene let it be this. You will never think of islands in the same way again.’ – Kimb...
Handbook of Dynamical Systems
Volumes 1A and 1B.These volumes give a comprehensive survey of dynamics written by specialists in the various subfields of dynamical systems. The presentation attains coherence through a major introductory survey by the editors that organizes the entire subject, and by ample cross-references between individual surveys.The volumes are a valuable resource for dynamicists seeking to acquaint themselves with other specialties in the field, and to mathematicians active in other branches of mathematics who wish to learn about contemporary ideas and results dynamics. Assuming only general mathematical knowledge the surveys lead the reader towards the current state of research in dynamics.Volume 1B will appear 2005.
Coates's Herd Book
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Mathematical Analysis I
This work by Zorich on Mathematical Analysis constitutes a thorough first course in real analysis, leading from the most elementary facts about real numbers to such advanced topics as differential forms on manifolds, asymptotic methods, Fourier, Laplace, and Legendre transforms, and elliptic functions.
Basic Elements of Real Analysis
From the author of the highly-acclaimed "A First Course in Real Analysis" comes a volume designed specifically for a short one-semester course in real analysis. Many students of mathematics and the physical and computer sciences need a text that presents the most important material in a brief and elementary fashion. The author meets this need with such elementary topics as the real number system, the theory at the basis of elementary calculus, the topology of metric spaces and infinite series. There are proofs of the basic theorems on limits at a pace that is deliberate and detailed, backed by illustrative examples throughout and no less than 45 figures.
Autonomy, Rationality, and Contemporary Bioethics
What should we do when autonomy and rationality seem to be in conflict in medical decision-making, as when there seems no good reason for a patient's wishes? Jonathan Pugh offers a new framework for thinking about the concept of autonomy, grounded in an understanding of the different roles that rational beliefs and rational desires have to play.
Handbook of Pediatric Transfusion Medicine
Structured to be a companion to the recently published Handbook of Transfusion Medicine, the Handbook of Pediatric Transfusion Medicine is dedicated to pediatric hematology-oncology and transfusion medicine, a field which remains ambiguous and which has generated few comprehensive texts. This book stands alone as one of the few texts that addresses transfusion issues specific to pediatric medicine. Written in an eminently readable style, this authoritative handbook is a requirement for any pediatric physician or caregiver. - Neonatal and fetal immune response and in utero development issues - Blood compatability and pre-transfusion testing issues specific to pediatric and neonatal transfusion - Therapeutic apheresis including red blood cell exchange and prophylactic chronic erythrocytapheresis for sickle cell patients - Also includes a section that concentrates on the consent, quality and legal issues of blood transfusion and donation
