A complete calculus text, including differentiation, integration, infinite series, and introductions to differential equations and multivariable calculus. By award-winning Frank Morgan of Williams College.

Geometric Measure Theory: A Beginner's Guide, Fifth Edition provides the framework readers need to understand the structure of a crystal, a soap bubble cluster, or a universe.

The book is essential to any student who wants to learn geometric measure theory, and will appeal to researchers and mathematicians working in the field. Brevity, clarity, and scope make this classic book an excellent introduction to more complex ideas from geometric measure theory and the calculus of variations for beginning graduate students and researchers.

Morgan emphasizes geometry over proofs and technicalities, providing a fast and efficient insight into many aspects of the subject, with new coverage to this edition including topical coverage of the Log Convex Density Conjecture, a major new theorem at the center of an area of mathematics that has exploded since its appearance in Perelman's proof of the Poincar conjecture, and new topical coverage of manifolds taking into account all recent research advances in theory and applications.

This classic text serves as a tool for self-study; it is also used as a basic text for undergraduate courses in differential geometry. The author's ability to extract the essential elements of the theory in a lucid and concise fashion allows the student easy access to the material and enables the instructor to add emphasis and cover special topics. The extraordinary wealth of examples within the exercises and the new material, ranging from isoperimetric problems to comments on Einstein's original paper on relativity theory, enhance this new edition.

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The heartwarming and stimulating tale of Adam and the unlikely team of friends drawn together to solve the mystery of his identity. Against a subtle background of middle eastern ethnic strife, inspector Qedemah Sadeq and doctor Sarah Berit and their families and associates are drawn into the arena of conflicting ideologies. Strong differences in national and ethnic origins, religion, age, and social status are overcome by friendship in the search for Adam's roots. An interfaith tour of Israel and the influence of Greek thought bring a deeper quest to the seekers, creating tension between faith and mathematics, religion and science, modernity and traditional values as Adam's friends find their beliefs and emotions stretched by Adam's journey. The search for truth about Adam becomes a challenge to his friends to take up the big questions of meaning, reality, and their own identity as human beings in the face of ethnic violence.