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Mathematics for IIT-JEE Main & Advanced: Volume 1

Mathematics for IIT-JEE Main & Advanced: Volume 1

Author : M.L. Khanna

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  • ISBN : 9789355014009
  • Pages : 1056
  • Binding : Paperback
  • Language : English
  • Imprint : S. Chand Publishing
  • © year : 2022
  • Size : 8"X 10.55"

Price : 899.00 719.20

This new edition of a very well-known and popular IIT-JEE Mathematics prep book carries all its hallmark features of the earlier editions. Along with exploration of theory, deƒOnitions and derivations, the book carries a plenty of solved examples - from simple ones to more complex and tough problems in each chapter - to hand-hold students into the process of problem solving. After every important topic, problem exercises have been given which the students are expected to solve on their own. Hints and solutions of these are given in case the students need to refer to these. Apart from the newer Main and Advanced problems, this edition carries all the old classic problems of the past decades from JEE as well as other similar examinations, because many such questions and their solutions are thought to be extremely important for developing a proper pedagogical approach to solving IIT-JEE Mathematics problems irrespective of year of examination. An assortment of selected problems of Main and Advanced exams of the last 5 years have been given at the end of the book along with solutions which the students can use as integrative practice questions and also get familiar with the trends of the recently held examinations. For an audio-visual demo and to get a closer look-and-feel of solving questions live, students are advised to go through the videos given for each chapter by scanning the QR codes given on the chapter-opening page. Each of these videos have been prepared with utmost care by keeping the natural ƒPow of treatment of the concepts in the book. These are accessible free of any additional cost to the students!

Volume - 1
ALGEBRA

1. Sets, Relations and Functions
2. Complex Numbers
3. Progressions
4. Theory of Quadratic Equations
5. Logarithms
6. Miscellaneous Equations
7. Permutations and Combinations
8. Mathematical Induction
9. Binomial Theorem
10. Determinants
11. Matrices
TRIGONOMETRY
13. Trigonometrical Equations
14. Inverse Circular Functions
15. Properties of Triangles
16. Height and Distance
CO-ORDINATE GEOMETRY
17. Rectangular Cartesian Co-ordinate System and Straight Line
18. Circles
19. Pair of Straight Lines

Volume - 2
CO-ORDINATE GEOMETRY

20. The Parabola
21. The Ellipse
22. Hyperbola
23. Co-ordinate Geometry of three Dimensions
VECTORS
24. Addition of Vectors
25. Multiplication of Vectors
DIFFERENTIAL CALCULUS
26. Differentiation
27. Functions
28. Limits, Continuity and Differentiability
29. Tangents, Normals and Simple Applications of the Derivatives
30. Maxima and Minima
INTEGRAL CALCULUS
31. Integration
DIFFERENTIAL EQUATIONS
32. Differential Equations (Ist Order and Ist Degree)
STATISTICS
33. Measures of Central Tendency and Dispersion
ALGEBRA
34. Probability
35. Mathematical Reasoning

• Crisp introduction to each topic followed by examples for ease of understanding of the concepts
• Definitions are given and explored in the desired depth for developing concepts
• A large number of illustrations accompanied by solutions to hand-hold the learner into the development of solutions
• A large number of problem sets, with jee-main and jee-advanced sections given separately
• Complete solutions are given for all hard problems, hints for easier ones. Cross-references for hinting at possible variation of question types.
Important solutions or question types are asterisked.
• Important flags for the learner to pay special attention to those relationships, equations etc.
• All important theorems are accompanied by proofs which often helps in solving problems templatized on the theorems
• Cross-references are given to avoid repetition and also to help the learner in seeing the pattern of inter-topic connections
• Precise diagrams, many times multiple, are used wherever required to arrive at solutions
• Alternative methods are given wherever possible so that the learner can use them to verify answers or choose the method more suited to him/her
• Selected problems of main and advanced exams of recent years have been given at the end of the book, along with complete solutions
• Old questions from past exams are given to give the learner an idea of the pattern then which are also of good quality to fit in this book today
• Fascinating facts are given at the end of the chapters which are actually some relationships, corollary or some pattern which are not easily discernible

IIT-JEE

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