| Book Detail | |
| Publication Year | 1965 |
| ISBN-13 | 978-81-933284-9-1 |
| ASIN | 81-933284-9-3 |
| Language | English |
| Edition | 45th |
| Pages | 1474 |
| Preface | |
| Preface | 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. |
| Table of Contents | |
| Table of Contents | UNIT I: ALGEBRA, VECTORS AND GEOMETRY * Solution of Equations * Linear Algebra: Determinants, Matrices * Vector Algebra & Solid Geometry UNIT II: CALCULUS * Differential Calculus and Its Applications * Partial Differentiation and Its Applications * Integral Calculus and Its Applications * Multiple Integrals and Beta, Gamma functions * Vector Calculus and Its Applications UNIT III: SERIES * Infinite Series * Fourier series UNIT IV: DIFFERENTIAL EQUATIONS * Differential Equations of First Order * Applications of Differential Equations of First Order * Linear Differential Equations * Applications of Linear Differential Equations * Differential Equations of Other Types * Series Solution of Differential Equations and Special Functions * Partial Differential Equations * Applications of Partial Differential Equations UNIT V: COMPLEX ANALYSIS * Complex Numbers and Functions * Calculus of Complex Functions UNIT VI : TRANSFORMS * Laplace Transforms * Fourier Transforms * Z-Transforms UNIT VII : NUMERICAL TECHNIQUES * Empirical Laws and Curve-fitting * Statistical Methods * Probability and Distributions * Sampling & Inference * Numerical Solution of Equations * Finite Difference and Interpolation * Numerical Differentiation and Integration * Difference Equations * Numerical Solution of Ordinary Differential Equations * Numerical Solution of Partial Differential Equations UNIT VIII: SPECIAL TOPICS* Linear Programming * Calculus of Variations |
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