A pioneer in the field of dynamical systems discusses one-dimensional dynamics, differential equations, random walks, iterated function systems, symbolic dynamics, and Markov chains. Supplementary materials include PowerPoint slides and MATLAB exercises. 2010 edition.
This original 2019 work, based on the author's many years of teaching at Harvard University, examines mathematical methods of value and importance to advanced undergraduates and graduate students studying quantum mechanics. Its intended audience is students of mathematics at the senor university level and beginning graduate students in mathematics and physics. Early chapters address such topics as the Fourier transform, the spectral theorem for bounded self-joint operators, and unbounded operators and semigroups. Subsequent topics include a discussion of Weyl's theorem on the essential spectrum and some of its applications, the Rayleigh-Ritz method, one-dimensional quantum mechanics, Ruelle's theorem, scattering theory, Huygens' principle, and many other subjects.
Expert treatment introduces semi-Riemannian geometry and its principal physical application, Einstein's theory of general relativity, using the Cartan exterior calculus as a principal tool. Prerequisites include linear algebra and advanced calculus. 2012 edition.
A pioneer in the field of dynamical systems discusses one-dimensional dynamics, differential equations, random walks, iterated function systems, symbolic dynamics, and Markov chains. Supplementary materials include PowerPoint slides and MATLAB exercises. 2010 edition.
Symplectic geometry is very useful for formulating clearly and concisely problems in classical physics and also for understanding the link between classical problems and their quantum counterparts. It is thus a subject of interest to both mathematicians and physicists, though they have approached the subject from different viewpoints. This is the first book that attempts to reconcile these approaches. The authors use the uncluttered, coordinate-free approach to symplectic geometry and classical mechanics that has been developed by mathematicians over the course of the past thirty years, but at the same time apply the apparatus to a great number of concrete problems. Some of the themes emphasized in the book include the pivotal role of completely integrable systems, the importance of symmetries, analogies between classical dynamics and optics, the importance of symplectic tools in classical variational theory, symplectic features of classical field theories, and the principle of general covariance.
This textbook, available in two volumes, has been developed from a course taught at Harvard over the last decade. The course covers principally the theory and physical applications of linear algebra and of the calculus of several variables, particularly the exterior calculus. The authors adopt the 'spiral method' of teaching, covering the same topic several times at increasing levels of sophistication and range of application. Thus the reader develops a deep, intuitive understanding of the subject as a whole, and an appreciation of the natural progression of ideas. Topics covered include many items previously dealt with at a much more advanced level, such as algebraic topology (introduced via the analysis of electrical networks), exterior calculus, Lie derivatives, and star operators (which are applied to Maxwell's equations and optics). This then is a text which breaks new ground in presenting and applying sophisticated mathematics in an elementary setting. Any student, interpreted in the widest sense, with an interest in physics and mathematics, will gain from its study.
As astronaut Donald K. Slayton notes in his Foreword, this chronicle emphasizes the cooperation of "humans on space and on the ground. It realistically balances the role of the highly visible astronaut with the mammoth supporting team." An official NASA publication, Suddenly, Tomorrow Came is profusely illustrated with forty-four figures and tables, plus sixty-three photographs. Historian Paul Dickson brings the narrative up to date with an informative new Introduction.
This book is based on lectures given at Harvard University during the academic year 1960-1961. The presentation assumes knowledge of the elements of modern algebra (groups, vector spaces, etc.) and point-set topology and some elementary analysis. Rather than giving all the basic information or touching upon every topic in the field, this work treats various selected topics in differential geometry. The author concisely addresses standard material and spreads exercises throughout the text. His reprint has two additions to the original volume: a paper written jointly with V. Guillemin at the beginning of a period of intense interest in the equivalence problem and a short description from the author on results in the field that occurred between the first and the second printings.
The challenge with most companies' talent intelligence is that it is just not that intelligent. Having good talent intelligence—an accurate understanding of the skills, expertise, and qualities of people—is essential for the people decisions that all businesses make. Yet despite its vital importance, most organizations appear to be failing at this critical task. The reason lies in talent measurement: how companies produce their talent intelligence and then use it. Written by Nik Kinley and Shlomo Ben-Hur—two experts in the field—this book draws on the latest research to show how businesses can transform the value and impact of their talent intelligence to make sure they get the right people in the right roles. When that happens, all their talent management and development activities are built on an accurate understanding of the talent available to them. Filled with illustrative examples, the book shows how to overcome the stumbling blocks that stand in the way of successful talent intelligence and reveals step-by-step what organizations need to measure, how they can best do so, and how they can successfully implement measurement and use the results. As the authors explain, knowing what methods and tools to use is just part of the challenge: the bigger issue for many firms is ensuring they know how to use them and make the best use of the intelligence they provide.
Discover what factors, beliefs, and attitudes build a successful marriage!In the enormous social, political, and technological upheavals since World War I, the long and happy marriage has begun to seem like an endangered species. In the desperate hunt for reasons that marriages fail, most researchers have ignored the factors that help marriages succeed. Together Through Thick and Thin: A Multinational Picture of Long-Term Marriage reports a landmark study of long-term satisfaction in marriage. Instead of relying on conjecture or unproven clinical hunches, the authors studied the happily married around the world. The respondents’early experiences included the Great Depression, World War II, and the Holocaust as well as the Roaring Twenties. In the years since they married, technological change and the women's movement have made the world almost unrecognizable. Yet these people have managed to maintain both stability and quality in their marriages. The scope of Together Through Thick and Thin is sweeping: eight countries, more than 400 couples who had been happily married for between 25 and 45 years. Factors analyzed include degree of satisfaction, gender differences, socioeconomic level, family history, shared values, religious belief and practice, attitudes toward children, physical health, and problem-solving styles, among many others. Moreover, the book builds on existing documented literature on marriage. This solid background helps put its wealth of practical data into context, an ideal synthesis of theory and practice.This study delves into the reasons couples stay together and stay satisfied. What qualities and attitudes do happily married couples share? Can the factors that keep a Chilean couple together for life also apply in the very different cultures of Sweden, Israel, South Africa, the United States? What keeps a marriage together in times of crisis? How important is love?Together Through Thick and Thin helps you understand the diverse factors that affect marital quality and stability by offering a broad range of information: a comprehensive review of the literature of happy marriage cross-cultural comparisons that kindle fresh insights discussions of factors ranging from gender and economic status to family history and shared attitudes specific behaviors and attitudes that illuminate what matters most in marriage, from mutual respect to shared fun the reasons couples stick together during crises which problem-solving behaviors actually workTogether Through Thick and Thin provides psychologists, family therapists, and couples counselors with the solid data they need to guide couples in crisis toward greater intimacy, commitment, and joy together.
An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.
The scholarly world first became aware of the myth of Adapa and the South Wind when it was discovered on a tablet from the El-Amarna archive in 1887. We now have at our disposal six fragments of the myth. The largest and most important fragment, from Amarna, is dated to the 14th century B.C.E. This fragment of the Adapa myth has red-tinted points applied on the tablet at specific intervals. Izre’el draws attention to a few of these points that were missed in previous publications by Knudtzon and Schroeder. Five other fragments were part of the Assurbanipal library and are representative of this myth as it was known in Assyria about seven centuries later. The discovery of the myth of Adapa and the South Wind immediately attracted wide attention. Its ideology and its correspondence to the intellectual heritage of Western religions precipitated flourishing studies of this myth, both philological and substantive. Many translations have appeared during the past century, shedding light on various aspects of the myth and its characters. Izre’el unveils the myth of Adapa and the South Wind as mythos, as story. To do this, he analyzes the underlying concepts through extensive treatment of form. He offers an edition of the extant fragments of the myth, including the transliterated Akkadian text, a translation, and a philological commentary. The analysis of poetic form that follows leads to understanding the myth as a piece of literature and to uncovering its meanings. This study therefore marks a new phase in the long, extensive research into this Mesopotamian myth.
Apply the latest advances in management of neuroendocrine and pituitary disorders with the Endocrinology: Adult and Pediatric: Neuroendocrinology and The Pituitary Gland eBook! Brought to you by the same expert endocrinologists responsible for the highly acclaimed two-volume Endocrinology clinical reference, this endocrinology eBook puts all of the newest latest know-how of the Pituitary Gland and Neuroendocrinology at your fingertips, instantly accessible on your favorite eReader - so you can offer your patients the best care. - Stay abreast of the newest knowledge on neuroendocrinology and the pituitary gland, including our most recent understanding of the fundamental cellular and physiologic functions of the neuroendocrine system, mechanisms underlying clinical disorders, and approaches to managing patients harboring disorders of the hypothalamus and pituitary gland. - Approach any subject either by specific gland or through a discussion of multi-hormonal integration of endocrine function, as led by the "master conductor of the endocrine orchestra," the pituitary gland. - Gain a state-of-the-art understanding of comprehensive descriptors, integrating endocrine cell ontogeny, hormonal control of growth and maturation processes, and childhood and young adult pathophysiology with maturation and aging processes. - Count on all the authority that has made Endocrinology, 6th Edition, edited by Drs. Jameson and DeGroot, the go-to medical reference for endocrinologists worldwide. - Make the best clinical endocrinology decisions with an enhanced emphasis on evidence-based practice in conjunction with expert opinion. - Consult this title on your favorite e-reader, conduct rapid searches, and adjust font sizes for optimal readability. Compatible with Kindle®, nook®, and other popular devices.
Translating the evidence from the bedside to populations This sixth edition of the best-selling Epidemiology, Evidence-based Medicine and Public Health Lecture Notes equips students and health professionals with the basic tools required to learn, practice and teach epidemiology and health prevention in a contemporary setting. The first section, 'Epidemiology', introduces the fundamental principles and scientific basis behind work to improve the health of populations, including a new chapter on genetic epidemiology. Applying the current and best scientific evidence to treatment at both individual and population level is intrinsically linked to epidemiology and public health, and has been introduced in a brand new second section: ‘Evidence-based Medicine’ (EBM), with advice on how to incorporate EBM principles into your own practice. The third section, 'Public Health', introduces students to public health practice, including strategies and tools used to prevent disease, prolong life, reduce inequalities, and includes global health. Thoroughly updated throughout, including new studies and cases from around the globe, key learning features include: Learning objectives and key points in every chapter Extended coverage of critical appraisal and data interpretation A brand new self-assessment section of SAQs and 'True/False' questions for each topic A glossary to quickly identify the meaning of key terms, all of which are highlighted for study and exam preparation Further reading suggestions on each topic Whether approaching these topics for the first time, starting a special study module or placement, or looking for a quick-reference summary, this book offers medical students, junior doctors, and public health students an invaluable collection of theoretical and practical information.
Expertly bridging the gap between basic science and clinical information, Williams Textbook of Endocrinology, 14th Edition, brings together an outstanding collection of world-renowned authors to provide authoritative discussions of the full spectrum of adult and pediatric endocrine system disorders. New chapters and significant revisions throughout keep you up to date with recent advances in medications, therapies, clinical trials, and more. This essential reference is a must-have resource for endocrinologists, endocrine surgeons, gynecologists, internists, pediatricians, and other clinicians who need current, comprehensive coverage of this multifaceted field. - Up to date with recent advances in medications, therapies, and clinical trials. - Provides state-of-the-art coverage of diabetes, metabolic syndrome, metabolic bones disorders, obesity, thyroid disease, testicular disorders, newly defined adrenal disorders and much more - all designed to help you provide optimal care to every patient. - Contains new chapters on Global Burden of Endocrine Disease, Navigation of Endocrine Guidelines, and Transgender Endocrinology. - Includes significant updates to the Diabetes section, including a new chapter on Physiology of Insulin Secretion and greater coverage of Type 2 Diabetes. - Presents current information in a highly illustrated, user-friendly format for quick reference. - Enhanced eBook version included with purchase. Your enhanced eBook allows you to access all of the text, figures, and references from the book on a variety of devices.
For more than 65 years, Williams Textbook of Endocrinology has been the gold standard in the field, delivering authoritative guidance on every aspect of adult and pediatric endocrine system disorders. The 13th Edition has been thoroughly updated by Drs. Shlomo Melmed, Kenneth S. Polonsky, P. Reed Larsen, and Henry M. Kronenberg, to bring you state-of-the-art coverage of diabetes, metabolic syndrome, obesity, thyroid disease, testicular disorders, and much more, all designed to help you provide optimal care to every patient. Bridging the gap between basic science and clinical information, it is an essential, relevant resource for endocrinologists, endocrine surgeons, gynecologists, internists, and pediatricians - any clinician who needs the most reliable coverage available on the diverse features across the spectrum of endocrine disease. Obtain a better understanding of both scientific insight and clinical data from the classic reference that delivers the current information you need in a highly illustrated, user-friendly format. Stay up to date with expanded discussions of autoimmune thyroid diseases, mechanisms, and the appropriate treatment of the ophthalmopathy of Graves' disease; a new section on the interpretation of fine needle aspiration results in patients with thyroid nodules; and new coverage of when and when not to use radioiodine in the treatment of patients with thyroid cancer. Update your knowledge and skills with all-new chapters on Genetics of Endocrine Disease, Endocrinology of Population Health, and Laboratory Techniques for Recognition of Endocrine Disorders. Confidently manage any clinical endocrinopathy you may encounter thanks to new information on recent FDA-approved drugs for pituitary disorders, a new focus on pediatrics, and new content on diabetes, obesity, and appetite control. Benefit from the expertise of dynamic new contributors who offer fresh perspectives throughout.
This textbook, based on courses taught at Harvard University, is an introduction to group theory and its application to physics. The physical applications are considered as the mathematical theory is developed so that the presentation is unusually cohesive and well-motivated. Many modern topics are dealt with, and there is much discussion of the group SU(n) and its representations. This is of great significance in elementary particle physics. Applications to solid state physics are also considered. This stimulating account will prove to be an essential resource for senior undergraduate students and their teachers.
Symplectic geometry and the theory of Fourier integral operators are modern manifestations of themes that have occupied a central position in mathematical thought for the past three hundred years--the relations between the wave and the corpuscular theories of light. The purpose of this book is to develop these themes, and present some of the recent advances, using the language of differential geometry as a unifying influence.
This textbook, available in two volumes, has been developed from a course taught at Harvard over the last decade. The course covers principally the theory and physical applications of linear algebra and of the calculus of several variables, particularly the exterior calculus. The authors adopt the 'spiral method' of teaching, covering the same topic several times at increasing levels of sophistication and range of application. Thus the reader develops a deep, intuitive understanding of the subject as a whole, and an appreciation of the natural progression of ideas. Topics covered include many items previously dealt with at a much more advanced level, such as algebraic topology (introduced via the analysis of electrical networks), exterior calculus, Lie derivatives, and star operators (which are applied to Maxwell's equations and optics). This then is a text which breaks new ground in presenting and applying sophisticated mathematics in an elementary setting. Any student, interpreted in the widest sense, with an interest in physics and mathematics, will gain from its study.
Symplectic geometry is very useful for formulating clearly and concisely problems in classical physics and also for understanding the link between classical problems and their quantum counterparts. It is thus a subject of interest to both mathematicians and physicists, though they have approached the subject from different viewpoints. This is the first book that attempts to reconcile these approaches. The authors use the uncluttered, coordinate-free approach to symplectic geometry and classical mechanics that has been developed by mathematicians over the course of the past thirty years, but at the same time apply the apparatus to a great number of concrete problems. Some of the themes emphasized in the book include the pivotal role of completely integrable systems, the importance of symmetries, analogies between classical dynamics and optics, the importance of symplectic tools in classical variational theory, symplectic features of classical field theories, and the principle of general covariance.
This book discusses the equivariant cohomology theory of differentiable manifolds. Although this subject has gained great popularity since the early 1980's, it has not before been the subject of a monograph. It covers almost all important aspects of the subject The authors are key authorities in this field.
This book is based on lectures given at Harvard University during the academic year 1960?1961. The presentation assumes knowledge of the elements of modern algebra (groups, vector spaces, etc.) and point-set topology and some elementary analysis. Rather than giving all the basic information or touching upon every topic in the field, this work treats various selected topics in differential geometry. The author concisely addresses standard material and spreads exercises throughout the text. his reprint has two additions to the original volume: a paper written jointly with V. Guillemin at the beginning of a period of intense interest in the equivalence problem and a short description from the author on results in the field that occurred between the first and the second printings.
The book contains a lot of examples, a lot of non-standard material which is not included in many other books. At the same time the authors manage to avoid numerous cumbersome calculations … It is a great achievement that the authors found a balance.'zbMATHThis book presents the study of symmetry groups in Physics from a practical perspective, i.e. emphasising the explicit methods and algorithms useful for the practitioner and profusely illustrating by examples.The first half reviews the algebraic, geometrical and topological notions underlying the theory of Lie groups, with a review of the representation theory of finite groups. The topic of Lie algebras is revisited from the perspective of realizations, useful for explicit computations within these groups. The second half is devoted to applications in physics, divided into three main parts — the first deals with space-time symmetries, the Wigner method for representations and applications to relativistic wave equations. The study of kinematical algebras and groups illustrates the properties and capabilities of the notions of contractions, central extensions and projective representations. Gauge symmetries and symmetries in Particle Physics are studied in the context of the Standard Model, finishing with a discussion on Grand-Unified Theories.
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