Judaism, Mathematics, And The Hebrew Calendar
The author explores several connections between mathematics and the history and tradition of Judaism, including the use of gematria to discover deeper meanings of words and phrases in the Torah. this book analysis the mathematical structure and properties of the Hebrew calendar, including probabilities assoiated with the calendar and computation of correspondences between Hebrew and civil dates. Intended for the scholar and layperson alike, this volume will appeal to reders with an interest...
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The author explores several connections between mathematics and the history and tradition of Judaism, including the use of gematria to discover deeper meanings of words and phrases in the Torah. this book analysis the mathematical structure and properties of the Hebrew calendar, including probabilities assoiated with the calendar and computation of correspondences between Hebrew and civil dates. Intended for the scholar and layperson alike, this volume will appeal to reders with an interest in Judaism and/or mathematics.
PrefacePt. 1Judaism and MathematicsForeword3Introduction5References1Numbers in Judaism and Mathematics82Infinity in Judaism and Mathematics313Other Topics on Judaism and Mathematics504Gematria of the Torah and the Prayer Book71Pt. 2Mathematics of the Hebrew CalendarForeword121Introduction122References1241Introduction to the Hebrew Calendar1252Foundations of the Hebrew Calendar1553Construction of Hebrew Calendars1724Further Analysis of Ordered Triples1915Further Analysis of Postponement Rules2206Probabilities Associated with the Hebrew Calendar2427Hebrew Dates and Civil Dates270Pt. 3Supplementary Sections1Solutions to Exercises in Part 23192Proofs of Theorems in Part 23593Appendix for Part 23734Part 1 Outlines of Topics and Biblical References4045Part 2 Outlines of Topics and Biblical References412Index416
\ Rabbi Morris PickholzMany of our talmudic rabbis had a profound understanding of mathematics, as evidenced by the fact that our Hebrew calendar, with all of its intricate calculations, was finalized in the fourth century. None of them, however, used mathematics to explore Torah and Judaism as Dr. Hyman Gabai. His investigation of mathematical concepts in Judaism, as presented in this book, is very creative and absolutely fascinating. He weaves the two disciplines together in an ingenious manner that reflects his scholarship in both Judaism and mathematics. This book is not meant only for mathematicians. It will be of great interest to every student of judaism. The numbers do not overwhelm the scholarly discussions of Jewish history and traditions. Instead, as the reader will discover, all of the beautiful connections between mathematics and Judaism provide additional validation and structure to the profound lessons that are inherent in our Torah.\ \ \ \ \ Herbert A. HauptmanAs a mathematician, I appreciate that this analysis of the calendar involves only straightforward applications of the most elementary mathematics. All that is needed is a first course in algebra, which every high school student must have at his fingertips, and a bit of elementary number theory, all of which is described in great detail to make the book completely self contained. Even less mathematics is needed if one omits the proofs and optional sections. For the reader with an interest in learning about the Hebrew calendar, it is difficult to image a more comprehensive text. For anyone with an interest in ways that mathematics can be both useful and fun, this entire book will provide endless hours of pleasure and satisfaction.\ \
