Two top experts in topology, O.Ya. Viro and D.B. Fuchs, give an up-to-date account of research in central areas of topology and the theory of Lie groups. They cover homotopy, homology and cohomology as well as the theory of manifolds, Lie groups, Grassmanians and low-dimensional manifolds. Their book will be used by graduate students and researchers in mathematics and mathematical physics.
The book consists of thirty lectures on diverse topics, covering much of the mathematical landscape rather than focusing on one area. The reader will learn numerous results that often belong to neither the standard undergraduate nor graduate curriculum and will discover connections between classical and contemporary ideas in algebra, combinatorics, geometry, and topology. The reader's effort will be rewarded in seeing the harmony of each subject. The common thread in the selected subjects is their illustration of the unity and beauty of mathematics. Most lectures contain exercises, and solutions or answers are given to selected exercises. A special feature of the book is an abundance of drawings (more than four hundred), artwork by an accomplished artist, and about a hundred portraits of mathematicians. Almost every lecture contains surprises for even the seasoned researcher.
Two top experts in topology, O.Ya. Viro and D.B. Fuchs, give an up-to-date account of research in central areas of topology and the theory of Lie groups. They cover homotopy, homology and cohomology as well as the theory of manifolds, Lie groups, Grassmanians and low-dimensional manifolds. Their book will be used by graduate students and researchers in mathematics and mathematical physics.
Immunological Aspects of Reproduction in Mammals contains papers presented during a symposium at the University of Nottingham Easter School. The scholarly presentations provide a wealth of information on the field of reproductive immunology and indicate just how complex this field is and how many questions still remain to be answered. The book begins with reviews of the current status of the complexities and uncertainties of the cellular basis of the immune response and the structure and function of antibodies. This is followed by separate chapters on the assessment and interpretation of the phenomena surrounding autoimmune and isoimmune reactions to spermatozoa; advances in defining the distribution and degree of exposure of major histocompatibility antigens; the reproductive immunology of the mouse, horse, and sheep; and fetal and neonatal immunity. Subsequent chapters present studies of immunization of several species with either the hypothalamic hormone LH-RH, pituitary gonadotrophins, or ovarian steroids; and studies directed towards efforts to enhance animal production by either active or passive immunization of female farm animals against steroid hormones. This book will be a valuable reference text for those already involved in the field and a stimulus for others to enter this complex and fascinating area of research.
Contents: Effective Educational Practices, How Children Learn? Teaching, Tutoring, Teaching Additional Languages, Motivational Languages, Motivation to Learn, Preventing Behaviour Problems: What Works?, Wasted Opportunities When School Fail.
The book consists of thirty lectures on diverse topics, covering much of the mathematical landscape rather than focusing on one area. The reader will learn numerous results that often belong to neither the standard undergraduate nor graduate curriculum and will discover connections between classical and contemporary ideas in algebra, combinatorics, geometry, and topology. The reader's effort will be rewarded in seeing the harmony of each subject. The common thread in the selected subjects is their illustration of the unity and beauty of mathematics. Most lectures contain exercises, and solutions or answers are given to selected exercises. A special feature of the book is an abundance of drawings (more than four hundred), artwork by an accomplished artist, and about a hundred portraits of mathematicians. Almost every lecture contains surprises for even the seasoned researcher.
Basic Immunology focuses on substances that take part in serological reactions, including antigens, antibodies, and the physicochemical nature of immunological reactions. The selection first elaborates on the basic notions of immunity, antigens, immunoglobulins, and the production of antibody. Discussions focus on factors which increase the immune response, production of antibody, biological properties of immunoglobulins, evolution and control of immunoglobulin structure, antigenicity, specific immunity, and resistance. The text then takes a look at the complement system, antigen-antibody reactions, and immediate hypersensitivity. The book ponders on cell-mediated immunity and delayed hypersensitivity, transplantation immunology, and tumor immunology. Topics include production of immunity to neoplasms, immunological aspects of carcinogenesis and growth of established tumors, immunotherapy for experimental neoplasms, donor selection in human-organ transplantation, elicitation of delayed hypersensitivity, and the role of humoral factors in the transfer of delayed hypersensitivity. The selection is a valuable reference for medicine students and researchers interested in basic immunology.
There is no question that the cohomology of infinite dimensional Lie algebras deserves a brief and separate mono graph. This subject is not cover~d by any of the tradition al branches of mathematics and is characterized by relative ly elementary proofs and varied application. Moreover, the subject matter is widely scattered in various research papers or exists only in verbal form. The theory of infinite-dimensional Lie algebras differs markedly from the theory of finite-dimensional Lie algebras in that the latter possesses powerful classification theo rems, which usually allow one to "recognize" any finite dimensional Lie algebra (over the field of complex or real numbers), i.e., find it in some list. There are classifica tion theorems in the theory of infinite-dimensional Lie al gebras as well, but they are encumbered by strong restric tions of a technical character. These theorems are useful mainly because they yield a considerable supply of interest ing examples. We begin with a list of such examples, and further direct our main efforts to their study.
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