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Description
Finite Difference EquationsThe calculus of finite differences is an area of mathematics important to a broad range of professions, from physical science and engineering to social sciences and statistics. This comprehensive study, directed to advanced undergraduate level students, graduate students, and professionals, concentrates primarily on how the calculus of finite differences may be used as an approximation method for solving troublesome differential equations. Stressing
The calculus of finite differences is an area of mathematics important to a broad range of professions, from physical science and engineering to social sciences and statistics. This comprehensive study, directed to advanced undergraduate-level students, graduate students, and professionals, concentrates primarily on how the calculus of finite differences may be used as an approximation method for solving troublesome differential equations.Stressing problem solving rather than pure mathematics, the authors begin with elementary difference operations, treat interpolation and extrapolation, the derivation of difference equations, solution of linear difference equations with variable and constant coefficients, and the properties of the general difference equations. Chapter 5 develops the various modes of expansion of the solutions of nonlinear equations and the conditions under which these are valid. In addition, in Chapter 6, there is the estimation of the eigenvalues that arise in connection with linear difference equations, and the investigation of the properties of the corresponding orthogonal functions in the form of factorial series. The final two chapters treat applications of difference equations, and the investigation of the properties of the corresponding orthogonal functions in the form of factorial series. The final two chapters treat applications of difference equations and difference equations associated with functions of two variables. Included are a number of exercises with answers.
Binding Type: Paperback
Publisher: Dover Publications
Published: 09/11/1992
ISBN: 9780486672601
Pages: 304
Weight: 0.70lbs
Size: 8.40h x 5.40w x 0.60d
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4.1 ★★★★★
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Product Reviews
★★★★★ 5
A book to savor
Format: Hardcover
I just loved this book. First off, the artwork was amazing and made you feel enveloped in the wonder of the season from the first moment you open the book! The content also pulls you in - from the heartfelt stories, to the recipes and crafts, to the faith-filled reflections, this book helped me feel as though I was both savoring the season and preparing for Christmas. What a perfect gift for yourself or a friend to awaken your wonder for the season and your love for the coming Savior.
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Reviewed in the United States on April 3, 2025
★★★★★ 5
Lovely Book!
Format: Hardcover
Written as a companion to Advent and Christmastide, I could not wait until then to start reading this book. Lanier Ivester's writing is compelling and thought-provoking. Jennifer Trafton's art throughout the book is rich and beautiful. The writing and art accompanied by recipes, menus, devotional suggestions, music recommendations, and craft ideas make this a book I will be pulling out year after year. "Look now, for glad and golden hours come swiftly on the wing. O rest beside the weary road and hear the angels sing."
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Reviewed in the United States on October 9, 2024
★★★★★ 5
Luminous reflections for the glad and golden hours of Christmastide
Format: Hardcover
Lanier Ivester's Glad and Golden Hours is a beautiful advent companion filled with tempting recipes, helpful holiday tips, and luminous reflections upon the "bright sadness" of the holiday season. Her lovely writing is wise and earnest and kindled my heart to imagine how I might savor the glad and golden hours of Christmastide this year.
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Reviewed in the United States on October 5, 2024
★★★★★ 5
wisdom infused with beauty and grace
Format: Hardcover
Whether you’re facing this Advent with great anticipation or overwhelming grief, Glad and Golden Hours will prove a sweet companion for the season. Interspersed with Lanier Ivester’s essays are holiday recipes and craft ideas, along with illustrations by Jennifer Trafton. A collection of wisdom infused with beauty and grace that I’ll return to year after year!
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Reviewed in the United States on October 19, 2024
★★★★★ 5
You need this book
Format: Hardcover
I didn't want to like this book, thinking it would be another how-to-have-the perfect-Christmas book. It's not that. I liked it so much I bought it for my friends. It's an exquisitely beautiful, thoughtful, joyful week by week story of preparation for the celebration of the Nativity. The author shares her own traditions, her recipes, book lists and song lists in a week-by-week format of suggestions that are easily adaptable to your own family situation. Perhaps most important, she shares her experience of deep grief in a season when joy is expected. No matter your life situation - single, married with little or big children, empty nester - Glad and Golden Hours can be like sitting with a friend for a few minutes a day, a friend who encourages you to take time for what's really important, to take joy where you find it, to maybe rethink what Advent and the Christmas season mean for you (and your family.) I ended up loving this book I didn't even want to like.
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Reviewed in the United States on December 23, 2024
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