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This book has been written by a pioneer teacher associated with IIT-JEE coaching, Dr. G.S.N. Murti, along with Dr. U.M. Swamy who had an illustrious career as a renowned mathematician. The topics covered in this book - Trigonometry, Vector Algebra, and Probability - are of utmost importance to engineering students. An additional chapter on Inequalities has been included. The book has a two-fold advantage: (a) Conceptual strength provided by accurate, precise but sufficient coverage of topics; (b) solved and unsolved problems as per IIT-JEE pattern for strengthening concepts. The main idea is to make students understand the theory behind to enable them to strategize a given problem and tactically solve it. Salient Features Eminent Authorship Clear, Concise, and Inviting Writing Style, Tone and Layout Optimum Balance of Theory and Applications Excellent Pedagogy Theorems and Corollaries (with proofs) Solved Examples Examples Quick Look Try It Out Worked Out Problems Summary Exercises Answers Worked-Out Problems and End-Of-Chapter Material as per IIT-JEE Assessment Pattern Single Correct Choice Type Multiple Correct Choice Type Matrix-Match Type Comprehension-Type Assertion-Reasoning Type Integer Answer Type 140+  Solved Examples 490+  Unsolved Problems 820+  Worked-out Problems About the Author G.S.N. Murti is an eminent mathematician, accomplished author and a dedicated teacher. He has taught Mathematics at degree level for 27 years before moving onto coach prospective IIT-JEE candidates. Over the last 25 years, his name has become synonymous with the best quality IIT-JEE coaching in Mathematics. In addition to being a great teacher, Dr. Murti is also considered a master trainer and mentor by a huge community of Mathematics teachers who prepare students for engineering entrance examinations.Dr. U.M. Swamy is an illustrious Mathematician with 40 years of teaching and research experience who served at various levels in the Department of Mathematics at Andhra University and superannuated as Chairman of the Faculty of Science in 2006 from the University. He is acclaimed as a distinguished teacher in the teaching community. Government of Andhra Pradesh felicitated him with the “Best Teacher Award” in 2006.