This volume contains a coherent point of view on various sharp pointwise inequalities for analytic functions in a disk in terms of the real part of the function on the boundary circle or in the disk itself. Inequalities of this type are frequently used in the theory of entire functions and in the analytic number theory.
The main goal of this book is to present results pertaining to various versions of the maximum principle for elliptic and parabolic systems of arbitrary order. In particular, the authors present necessary and sufficient conditions for validity of the classical maximum modulus principles for systems of second order and obtain sharp constants in inequalities of Miranda-Agmon type and in many other inequalities of a similar nature. Somewhat related to this topic are explicit formulas for the norms and the essential norms of boundary integral operators. The proofs are based on a unified approach using, on one hand, representations of the norms of matrix-valued integral operators whose target spaces are linear and finite dimensional, and, on the other hand, on solving certain finite dimensional optimization problems. This book reflects results obtained by the authors, and can be useful to research mathematicians and graduate students interested in partial differential equations.
A personal and philosophical meditation on the Hebrew Bible, its stories, and its sages. In this volume, Gershon Rubin attempts to draw the secrets of the antediluvian world into the modern day. Through the lens of a lifetime of spiritual learning, he explores the ancient saga of creation, Adam and Eve, and the generations to come after. As Rubin states by way of introduction to The Hebrew Saga, “My first name, Gershon, is similar to the Greek word geron (old man). Thus through my ‘geronoscope,’ I view the over-four-thousand-year-long written history of the Hebrew nation, which resulted in the origination of this my world-view, or world outlook.”
The main goal of this book is to present results pertaining to various versions of the maximum principle for elliptic and parabolic systems of arbitrary order. In particular, the authors present necessary and sufficient conditions for validity of the classical maximum modulus principles for systems of second order and obtain sharp constants in inequalities of Miranda-Agmon type and in many other inequalities of a similar nature. Somewhat related to this topic are explicit formulas for the norms and the essential norms of boundary integral operators. The proofs are based on a unified approach using, on one hand, representations of the norms of matrix-valued integral operators whose target spaces are linear and finite dimensional, and, on the other hand, on solving certain finite dimensional optimization problems. This book reflects results obtained by the authors, and can be useful to research mathematicians and graduate students interested in partial differential equations.
This volume contains a coherent point of view on various sharp pointwise inequalities for analytic functions in a disk in terms of the real part of the function on the boundary circle or in the disk itself. Inequalities of this type are frequently used in the theory of entire functions and in the analytic number theory.
The authors of Searching for God: Study Partners Explore Contemporary Jewish Texts introduce “self-directed hevruta,” a novel twist on the traditional Jewish path of in-depth learning with a study partner. Together, they choose the most challenging topic of all, searching for God, and explore five contemporary Jewish texts that present several approaches: mysticism, rationalism, nontraditional Judaism, metaphors from science, and character development. These spiritual seekers are lay-people. Joan Burstyn is an historian and poet; Gershon Vincow is a scientist and community leader. They study, discuss, teach each other, and draw conclusions. The result of this study partnership is a transformative learning experience about Judaism and the search for God. “This touching and inspiring account of the commitment of two friends to study texts and share their insights with each other on behalf of their own, and each other’s connection to holiness could well be titled Thinking as a Spiritual Path. Celebrating intellect as an instrument of prayer, this book will serve as a template for seekers across religious traditions who long for a spiritual practice that satisfies their minds as it gladdens their hearts.” —Sylvia Boorstein, author of Happiness Is an Inside Job: Practicing for a Joyful Life. “This book successfully probes the most basic questions anyone should ask: What do I mean when I use the word ‘God’? And how does the answer affect the way I live?” —Edward D. Zinbarg, board member, Jewish Theological Seminary Rabbinical School; author of Faith, Morals and Money: What the World’s Religions Tell Us about Ethics in the Marketplace.
How do we understand suffering? In this sensitive, profound book, the author, who himself underwent countless yissurim and challenges, shows us twenty-four 'blessings' that a person derives from misfortune. Along with its forceful message, this book also offers the reader a much-needed measure of comfort to help him cope with difficulties.
Coachman 176 pages Rabbi Baruch travels in the disguise of a Coachman driving his horse and wagon across the countryside in order to further his spiritual understanding. In these stories, he gives blessings, sees the spiritual greatness of simple people, and illuminates the path for those who have strayed. In other stories, we meet unusual personalities like the master blacksmith Israel of Burgas and the English nobleman who secretly converts to Judaism. Reunion 156 pages This volume introduces "Rabbi Baruch and his disciples," stories of a Chasidic Rebbe of old who was a beacon of light in troubled times. A profound thought is hidden in each of these short tales. "From Days Bygone" entwines the famous historical events with human drama, including the exciting account of a brave group of boys who resisted the Roman conquerors of Israel. Silver Rings 168 pages Three young brothers flee the Spanish Inquisition, their hopes for the future symbolized by three silver rings. In another century, on the shores of Lake Tiberias, the would-be world conqueror, Napoleon, meets the future Chasidic master, Rabbi Nachman of Bratzlav, and receives an important piece of advice.
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