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Mortgages and Annuities: Mathematical Foundations and Computational Algorithms Hardcover – November 10, 2009

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Product Details

  • Hardcover: 288 pages
  • Publisher: AKVY Press (November 10, 2009)
  • Language: English
  • ISBN-10: 0980966779
  • ISBN-13: 978-0980966770
  • Product Dimensions: 5.9 x 9.1 x 0.8 inches
  • Shipping Weight: 1.3 pounds (View shipping rates and policies)
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Best Sellers Rank: #6,521,086 in Books (See Top 100 in Books)

Editorial Reviews


Informed and informative, "Mortgages and Annuities: An Introduction" is replete numerical examples, exercises, and illustrative problems making it especially appropriate as a curriculum textbook. Also very highly recommended for professional and academic library reference collections is Yuri K. Shestopaloff's "Mortgages And Annuities: Mathematical Foundations And Computational Algorithms" --Wisconsin Bookwatch (Oregon, WI USA)

From the Publisher

The book has been chosen for publication for its clear style and comprehensive content covering all mathematical underpinnings and computational algorithms related to these widely accepted financial instruments. The book starts from scratch and no prior knowledge is required. This book is based on the material previously published in another author's book "Science of Inexact Mathematics" that received many good reviews and is highly valued by specialists working in the industry and academics. The level of material presentation has been adjusted to the undergraduate level, and many topics have been elaborated and illustrated by numerous numerical examples. The book includes lots of exercises and problems, which makes it ideal to use as a textbook, although it appeals to any specialist working with these instruments, who needs understanding their mathematical and computational side. Several new mathematical and computational algorithms can significantly benefit the designers of financial systems and financial calculators. Wisconsin Bookwatch's review highlights the high value of this book, and its as follows. "Mortgages and Annuities: An Introduction" is replete numerical examples, exercises, and illustrative problems making it especially appropriate as a curriculum textbook. Also very highly recommended for professional and academic library reference collections is Yuri K. Shestopaloff's "Mortgages And Annuities: Mathematical Foundations And Computational Algorithms". As a publisher, we just want to add that these books should be also considered by specialists working in financial industry as the primary sources of comprehensive, clear, and compact knowledge of mathematical aspects of mortgages and annuities and their computational algorithms. The book is equally valuable as a handbook for financial system designers and designers of financial calculators who want to achieve high performance of their systems and financial calculators.

More About the Author

Yours truly is a professional academic and consultant, who started his academic career as an Applied Mathematician and Engineer-Physicist. Master of Sciences and PhD degrees have been obtained from Moscow Physical Technological Institute, where I studied a way too many different subjects, although, how I see this now, I should be more centric on mathematical methods and algorithms for data interpretation; but the mere understanding of my passion did not come early. A long time, before this happened, sport and travel had much higher priorities in my life than the study. In addition to the aforementioned academic achievements, I have also a Doctor of Sciences degree, which is the highest academic degree in European countries.
With regard to teaching, I worked as an Associate Professor, and later as a Full Professor and Chair at Electrical Engineering Department at Academy of Transport, and simultaneously held position of Chief Scientist at Institute of Sensor Microelectronics of Russian Academy of Sciences. The title Full Professor is both a position and academic degree.

I like diversity and do not respect subject boundaries much, and this is why I do consulting on mathematical methods and computing algorithms in various fields of science and technology, in particular, financial mathematics, remote sensing, radiophysics, biology. This mixture looks strange at a first glance, but, in fact, it comes naturally if you do not block your mind intentionally to one specific area, and used to exercise the common sense on everyday basis, thus training your ability to get to the core of a problem quickly. Just take responsibility for what you are doing and rely on yourself, rather than specialists, who are just the same people from flesh and bones as you are.
To that day, I published five books and over eighty academic articles, focusing on mathematical methods and algorithms for data interpretation and data processing. Some articles received awards from industry journals. The subject of data interpretation may sound as something boring, but, in fact, this is an exceptionally interesting, colorful and challenging area, when you are able to make sense, and in many instances very revealing and sometimes even of a fundamental importance, from the pile of seemingly amorphic data or subtle and very general hypothesis.
I publish also articles on philosophical issues, mostly on natural philosophy. In fact, my book "Sums of exponential functions and their new fundamental properties, with applications to natural phenomena", includes some philosophical considerations closely tied to the book's mathematical content, and serving as a framework for the first chapter of this book.

In the list of books, you can see a collection of poetry, which is my second book of verses, and a collection of short stories, travels and a little humor, both books in Russian. People like the stories, some honestly think that I am one the best modern writers in Russian, putting me somewhere in top five with regard to literary quality of my writings; certainly, not in popularity. I am not sure about such a high level, but many stories, from my perspective, are not bad. This is not a coincidence, I know what I am doing when I write the stories.

Not many people read poetry these days, but who does, appreciate my verses and poems. This is the poetry about our life, nature, how we understand our human being and ourselves in this not easy going world. Maybe this reading is not for everybody, but the readers will be rewarded with new knowledge, thoughts, and all spectrum of emotions. Actually, these literary writings are on my web site,, you do not need to buy a book to get an idea what is what.

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Most Helpful Customer Reviews

Format: Hardcover
This is my third review of a book by the same author. All that I said before about ?Mortgages and Annuities. An Introduction? remains true for this book as well. Though written at a slightly more advanced level, this book also starts from scratch and proceeds to an expert level. Lots of graphical illustrations, numerical examples, exercises and problems make it easy to comprehend and follow the path laid out in the book. In fact, if the student or professional is interested the in mathematical side of mortgages and annuities, he can buy either book. The part about computational algorithms discusses algorithms relevant to mortgages and annuities and their software implementation. I am not an expert in system design, and so can?t say much, but the coverage of computational algorithms is really good. The author introduces several new algorithms. On the mathematical and computational side they are very original, and should be computationally efficient, as the author claims and illustrates by providing results of performance tests. However, the designers of financial calculators and systems have to provide an opinion as well. For financial professionals and software people in the financial industry, the whole book is a gem. Students and teachers can certainly use it as supplementary material. I should note that as a curriculum supplement for computer science courses the book is probably too much financially specialized. Otherwise, I warmly recommend the book.
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