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Description
Special Functions(Hardcover). This book is written to provide an easy to follow study on the subject of Special Functions and Orthogonal Polynomials. It is written in such a way that it can be used as a self study text. Basic knowledge of calculus and differential equations is needed. The book is intended to help students in engineering, physics and applied sciences understand various aspects of Special Functions and Orthogonal Polynomials that very often occur in
(Hardcover). This book is written to provide an easy to follow study on the subject of Special Functions and Orthogonal Polynomials. It is written in such a way that it can be used as a self study text. Basic knowledge of calculus and differential equations is needed. The book is intended to help students in engineering, physics and applied sciences understand various aspects of Special Functions and Orthogonal Polynomials that very often occur in engineering, physics, mathematics and applied sciences. The book is organized in chapters that are in a sense self contained. Chapter 1 deals with series solutions of Differential Equations. Gamma and Beta functions are studied in Chapter 2 together with other functions that are defined by integrals. Legendre Polynomials and Functions are studied in Chapter 3. Chapters 4 and 5 deal with Hermite, Laguerre and other Orthogonal Polynomials. A detailed treatise of Bessel Function in given in Chapter 6.
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4.1 ★★★★★
Based on 1158 reviews
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Product Reviews
★★★★★ 5
Powerful
Format: Paperback
This is a must have in every area of your life. The ability to take God‘s word and declare it in a way that is relative to the situation that you’re going through on a personal level, is powerful. We have seen tremendous breakthrough in our lives by declaring the truth of God’s Word contained in this book!!!
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Reviewed in the United States on September 26, 2023
★★★★★ 5
Wonderful Insight to the Seer Prophetic Ministry…Those Who Are Called To This Ministry Will Be Greatly Benefitted!
Format: Kindle
I just finished reading this book and I thought it was fantastic. It is the first book I've read on the seer prophetic ministry. I was an atheist for years, but then got supernaturally saved and baptized in the Holy Spirit at the same time and immediately began moving in dreams and visions. I thought it was odd that I would mostly receive revelation for myself, others, and the church through dreams, rather than ministering to a person and receiving a word as I was speaking to them. I would pray and ask God to give me revelation through visions as I would minister in person on the spot but it would very rarely happen. I learned through this book that I'm actually a seer and received my calling last year. I then found this book and felt it clearly outlined my gift and helped me to understand who I am and how God made me to function. The seer ministry has never been taught in any church I have attended and I've been to plenty charismatic churches. I find this sad but I believe it won't always be so. There's also an impartation from this book. Before anyone dings me on that, remember that even in the bible, the anointing was transferred through handkerchiefs. I felt this book was pretty solid biblically and James speaks with a heart of love. You will learn more about this ministry and if you're already functioning in it, you may learn some great nuggets and may even be sharpened like I was. I'm looking forward to reading more on this awesome ministry. Thank you James for sharing your wisdom and insight. I'm actually reading it a second time, that's how great it is. Give it a try, you won't be disappointed!
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Reviewed in the United States on January 23, 2015
★★★★★ 5
A GOD-centric UPDATE that guides you to the Throne Room.
I was given the ORIGINAL version of this book as a gift—long before I knew about the prophetic as a realm ALL Believers can enter. I had several false starts reading the book. With each round of attempting to read it I stopped short for the same reason—I felt there was more emphasis on experiences and the author’s revelations than on the Word of God.
Fast forward to several years later, I decided to read this book again BUT by this time I had my own personal revelations and substantial teaching about the prophetic. I was/am still a WORD girl so as I prepared to read it I discovered THIS EXPANDED EDITION and boy was it a wayyyyyyy different read. EVERY IOTA of teaching is anchored in the word of God and turns it all back to the Godhead. There are endless stories of his or other giants’ personal experiences but EVERY account is in the framework of the Word of God. The Godhead is exalted in this book. EVERYTHING else is secondary. I absolutely loved this new writing voice—such that I have since bought another book by the author and I plan to read more of his works.
At the end of the day, heavenly encounters are purposed by God to draw us and others into deeper relationship with Him. The encounters and revelations are not the endpoint, HE is—His Word, His will, and His way. This is the thesis statement of this book and I love it!!!!!!!!!!!!
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Reviewed in the United States on September 15, 2019
★★★★★ 5
Seeing in the Spirit is biblically valid - book helped me understand & lose my fear/confusion about the supernatural
Wow! I read this book over the course of just 2 days. I bought it a while back but hadn't read it until now. I had some fear with seeing in the spirit realm. After reading this book, I have a MUCH greater understanding. I am also now interested in contemplative prayer - which James Goll briefly touches on in this book. I am willing to finally leave prejudices behind about the wonderful and supernatural means that God DOES in fact use to communicate with us. I have bought into the lies that this is somehow of the occult or non-biblical. Further inspection of the scriptures for myself (away from any teachers - no matter how great I thought they were) showed me this is not the case. God DOES speak to us, He DOES manifest Himself to us when we obey and love Him, and there IS a tangible, actual presence of God. What a shame this is being demonized in many Christian circles because there is NOTHING more wonderful and joyous than God's actual presence. Seeing in the Spirit is also another way God interacts with us. I have abandoned my fears and have come to realize how truly amazing this really is.
The Bible is filled with visions, dreams, divine interactions, etc. Any person reading the Bible - setting aside other opinions influencing him/her - will plainly see that the gifts will not cease until the return of Jesus Christ. Also, that we are to hear God's voice and commune with Him. John 5:39 - hit me hard during a terrible time of fear and confusion because of all the various doctrines on this topic. "Search the scriptures: for in them ye think ye have eternal life: and they are that which testify of Me. And ye will not come to Me, that ye might have life." We don't know Jesus through the Scripture, we know about Him from the Scripture. We do have to go to Him and seek Him in addition to studying the scriptures. He is a real Person, and this is a real relationship.
I tabbed the section James Goll wrote on testing the source and testing the spirits as this is something that I have not always done and now have excellent information about from this book. I also have reassurance that this does not offend God and/or Holy angels - as this is what we are told to do. I highly recommend this book - and I think it would be tremendously awesome for more Christians to leave the fear of deception, fear of the devil, and fear of the religious folks ridicule behind. We are able to enjoy a *REAL* relationship with Christ even during our time on earth.
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Reviewed in the United States on July 2, 2016
★★★★★ 5
Good book
Such an amazing book as someone who dreams and sees , it was a great break down and introduction to the world of seeing in which I’ve been looking for . Finished reading it once, now I will read it again
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on August 29, 2025
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