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 thirty-four essays in this volume follow the particular interests of Leonard van der Kuijp, whose groundbreaking research in Tibetan intellectual and cultural history imbued his students with an abiding sense of curiosity and discovery. As part of Leonard van der Kuijp’s research in Tibetan history, as he patiently and expertly revealed treasures of the Tibetan intellectual tradition in fourteenth-century Tsang, or seventeenth-century Lhasa, or eighteenth-century Amdo, he developed an international community of colleagues and students. The thirty-four essays in this volume follow the particular interests of the honoree and express the comprehensive research that his international cohort have engaged in alongside his generous tutelage over the course of forty years. He imbued his students with the abiding sense of curiosity and discovery that can be experienced through every one of his writings, and that can be found as well in these new essays in intellectual, cultural, and institutional history by Christopher Beckwith, the late Hubert Decleer, Franz-Karl Ehrhard, Jörg Heimbel and David Jackson, Isabelle Henrion-Dourcy, Nathan Hill, Matthew Kapstein, Kurtis Schaeffer, Michael Witzel, Allison Aitken, Yael Bentor, Pieter Verhagen, Todd Lewis, William McGrath, Peter Schwieger, Gray Tuttle, and others.

A study of the seminal Tibetan Buddhist work, Gateway to Learning.

This volume contains the most comprehensive collection of scholarly sources on Indian poetics and aesthetics (the Alaṃkāraśāstra ever published in ancient India. Entries are divided into three sections and a detailed index is provided. Reference to primary sources from several languages range from about the 5th to the 19th centuries. Secondary sources in two dozen languages are divided into two sections, viz., books and articles. These begin in the mid-19th century and continue to the present. Annotations are usually brief and descriptive.

Anandavardhana and the metaphysics of literature -- Abhinavagupta and the theology of literature -- Abhinavagupta's literary theory -- Mahimabhaṭṭa on literary knowing -- The will of objects -- Mahimabhaṭṭa on literary being : the pragmatic use of illusion.

This author presents new metaphysics with a genealogy based on counter-intuition and locates counter-intuition and complexity at the foundations of truth. This book stimulates future philosophical and religious discussion.

How can we meet the increasing demands on American education for more content, greater complexity, and much higher levels of student success? How can we make every student a more effective learner? How can we help every teacher support learning more productively? How can we create schools that enable each and every child to achieve the education to which he or she aspires? We can with a new technology of education - a technology focused on student practice and conceptual visualization. Fortunately, this new technology is now at hand, and it can enable us to revolutionize education. Please join me in an exploration of these new physical ideas that are here, so desperately, needed. Art Bardige

Winner, 2024 E. Gene Smith Inner Asia Book Prize, Association for Asian Studies Honorable Mention, 2023 Joseph Levenson Prize Post-1900, Association for Asian Studies In the aftermath of the cataclysmic Maoist period, three Tibetan Buddhist scholars living and working in the People’s Republic of China became intellectual heroes. Renowned as the “Three Polymaths,” Tséten Zhabdrung (1910–1985), Mugé Samten (1914–1993), and Dungkar Lozang Trinlé (1927–1997) earned this symbolic title for their efforts to keep the lamp of the Dharma lit even in the darkest hour of Tibetan history. Lineages of the Literary reveals how the Three Polymaths negotiated the political tides of the twentieth century, shedding new light on Sino-Tibetan relations and Buddhism during this turbulent era. Nicole Willock explores their contributions to reviving Tibetan Buddhism, expanding Tibetan literary arts, and pioneering Tibetan studies as an academic discipline. Her sophisticated reading of Tibetan-language sources vivifies the capacious literary world of the Three Polymaths, including autobiography, Buddhist philosophy, poetic theory, and historiography. Whereas prevailing state-centric accounts place Tibetan religious figures in China in one of two roles, collaborator or resistance fighter, Willock shows how the Three Polymaths offer an alternative model of agency. She illuminates how they by turns safeguarded, taught, and celebrated Tibetan Buddhist knowledge, practices, and institutions after their near destruction during the Cultural Revolution. An interdisciplinary work spanning religious studies, history, literary studies, and social theory, Lineages of the Literary offers new insight into the categories of religion and the secular, the role of Tibetan Buddhist leaders in modern China, and the contested ground of Tibet.

This book offers an accessible and in-depth look at some of the most important episodes of two thousand years of mathematical history. Beginning with trigonometry and moving on through logarithms, complex numbers, infinite series, and calculus, this book profiles some of the lesser known but crucial contributors to modern day mathematics. It is unique in its use of primary sources as well as its accessibility; a knowledge of first-year calculus is the only prerequisite. But undergraduate and graduate students alike will appreciate this glimpse into the fascinating process of mathematical creation. The history of math is an intercontinental journey, and this book showcases brilliant mathematicians from Greece, Egypt, and India, as well as Europe and the Islamic world. Several of the primary sources have never before been translated into English. Their interpretation is thorough and readable, and offers an excellent background for teachers of high school mathematics as well as anyone interested in the history of math.