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This book collects and explains the many theorems concerning the existence of certificates of positivity for polynomials that are positive globally or on semialgebraic sets. A certificate of positivity for a real polynomial is an algebraic identity that gives an immediate proof of a positivity condition for the polynomial. Certificates of positivity have their roots in fundamental work of David Hilbert from the late 19thcentury on positive polynomials and sums of squares. Because of the numerous applications of certificates of positivity in mathematics, applied mathematics, engineering, and...

Encounter God's unlimited presence and unconditional love in this joyful picture book that helps kids discover God in all parts of creation, from the mountains to the anthills and, most of all, in our hearts amid joy, sadness, calm, and chaos. In this poetic book for 4- to 8-year-olds, a child asks her mother "Is God here, or is God there?" and begins to understand that God's attention, kindness, and comfort are everywhere. Young children will learn God is present in all parts of nature God is present with them when they are scared or brave, happy or sad, and in all situations each person...