This book having a rich legacy, has run through its 44th edition, with twenty eight subsequent reprints, which itself is a testament to its enduring popularity. Despite maintaining the familiar format and features that have garnered such widespread acclaim, we have meticulously revised the text, introducing additions and alterations to enhance its utility. We have expanded the number of solved examples, integrating problems sourced from the latest university question papers. It is our sincere hope that these revisions will further elevate the book's standing among its readers. The authors extend their heartfelt thanks to the esteemed readers for their letters of appreciation and to the renowned professors for their invaluable suggestions and insightful opinions which helped in shaping this edition. In particular, they express gratitude to Dr. K. L. Sai Prasad, of G.V.P. College of Engineering for Women, Visakhapatnam., Dr. Rashmi Bhardwaj of G.G.S. Indraprastha University, Delhi; Dr. B.B. Singh of Vidyavihar, Ionere (Raigarh); Dr. V. Vasudeva Murthy of S.R.K.R. Engineering College, Bhimavaram (A.P.); Prof. P. Veeraiah of Sri Venkateswara College of Engineering, Sriperumbudur (T.N.); Dr. Jeavargi Phakirappa of R.Y.M. Engineering College, Bellary (Ka.); Dr. T. Subedi of the National Institute of Technology, Shillong; Dr. S. Mayilaganan of S.R.M. University, Kuttankulathur (T.N.); Dr. Garima Aggarwal of Manipal University, Jaipur; Dr. Barun Kumar Yadav, Head of the Department of Mathematics at Chouksey Engineering College, Bilaspur (C.G.); Dr. Arvind Kumar Sinha of the National Institute of Technology, Raipur; Dr. T. Yogalakshmi of Vellore Institute of Technology, Vellore; Dr. C.N.B. Rao of S.R.K.R. Engineering College, Bhimavaram (A.P.); Dr. V. Dhanapalan of Government College of Technology, Pudar (T.N.); and Prof. Shivani Mehra of Chandigarh University, Mohali. Suggestions for improvement of the text and intimation of misprints will be thankfully acknowledged.

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