Integral Calculus by Amit M. Agarwal | IIT Books

Hello everyone In Today's post Iam Sharing the one of the most preferred book of Maths for IIT JEE.
The name of the book is :  Integral Calculus by Amit M. Agarwal

About the Book :

Arihant Integral Calculus by Amit M. Agarwal are indeed very good books. It has a diverse set of problems which helps you a lot if you are preparing for JEE Advanced.The theory and solved examples are good and nicely compiled.
After that there are two (so called) Proficiency Exercises.Exercise 1 is of JEE level.
A few problems of Exercise 2 may be above JEE level but certainly within the syllabus. So solving them helps boost your confidence. At some places you might also find some tips and tricks which can't be found in Cengage (It's also a very good book in terms of Objective Type questions)


Reader Review : 

I referred to the Arihant books by Amit Agarwal on both differential calculus and integral calculus. I didn't solve the exercises from them but I read all the solved examples and the theory part thoroughly, several times. Helps a lot in understanding calculus and also helps develop the question solving technique. For solving math I referred to the Cengage series (they're pretty good). Now, back to your question, if you read this year's JEE Advanced paper you would know that the math part was difficult. So, you should try solving Amit Agarwal, but only after you've studied and revised calculus thoroughly. It is slightly above the JEE advanced level but this year's math section was more difficult than it has been in the past several years. You can never estimate the level of the math paper so you might as well practice the though questions so that you're prepared for a difficult paper.

Download link : Integral Calculus by Amit M. Agarwal

Higher Algebra - Hall and Knight | IIT Books

Hey Everyone , today's post is about the book Higher Algebra by Hall and Knight.

The most popular book for practicing algebraic questions. Hall and knight is one of the best book for both the engineering aspirants as well as for the students who are going to be appear for the board exams. And the best part of this book is its probability and algebraic equations. To become master in these topics you should have to go through the book deep inside. Many experts believe that it has most of the toughest questions and this book less expensive and one can easily afford it too.

Some of the topics of this book are ratio, proportion, geometrical progression, variation, arithmetic progression, surds and imaginary quantity, scale of notation, harmonic progression, permutation and combination, quadratic equation, mathematical induction, miscellaneous equations and questions,  multinomial theorem, binomial theorem positive integral theorem, exponential series of logarithmic expression, inequalities and inequations, interest and annuities, theory of inequation,matrices, miscellaneous questions, summation of series, theory of numbers, continued fraction value theorem, partial fraction, recurring series, first, second and third degree intermediate series, limiting theorem, condition of convergence, etc.

The solutions for questions are provided in such a quite good manner that any student can easily correlate it to its understanding. As for the reference point of view formula used in solving the question is also provided with good explanation. As some of my friends used to practice from this book, i also gave a try it is so good and you can solve the questions too. Bu the problem is that it is "so much time consumable." Therefore if you do not have much time then, I don't recommend you to use this book as it will grab all of your time and you will not be able to devotee time to study in physics and chemistry. It is an older version of higher algebra by ariahant. So there is a lot of topics which are not recommended from the point of jee exam.
So friends if you want to study it then you can easily study it but you should have to remember that you have not to waste your time in unusual topics which are beyond the syllabus of the exam and generally are not asked by the examiner. And if you want to cover up this whole book syllabus then you should have to do at least 200 questions per day and which should be of different type not of the similar type questions. The reason behind this is it will become then your habit to quickly tackle the tricky one questions and solve them in less time which will be beneficial for both your jee mains, jee advanced and from your point of view of boards exam too. You can prefer rd sharma too if you are not comfortable with this book and one more suggestion i want to give you is to" first complete your ncert books" as they are very necessary to build up your base. Because without solving them and directly jumping on a higher question and theory book will make you confused and you will be messed up with your entire syllabus.

I have seen a lot of students who are very well in studies but because of not getting the proper guidance of the books and the teachers they messed up their whole syllabus and regrets for that. Even I used the high-level books without solving ncerts, and my performance started getting down, then I got to know about the major issue is not solving the ncert books. I then started solving them and it boosted my performance and then I jumped to the high-level books which made it so easy to solve. So guys that's all in this post. If you have any query related to this book or want to suggest to post a book, please email me or comment in the comment box. I will surely try to do my best to resolve your query. 

Till then keep practicing regularly, keep smile on face and lead yourself towards excellence and success. 

And remember the aim-IITJEE.

Download free pdf of book from here:-
Higher Algebra - Hall & Knight

Coordinate Geometry | SL Lonely | IIT Books

Hello Eyeryone, In this post I am Sharing a very renowend book of Mathematics for IIT JEE.
The name of this book is : Coordinate Geometry by SL Lonely.
I am Sharing this book In PDF version which you can easily access anytime and anywhere via your mobile.
This book contains all the questions of all the topics which are generally asked in the JEE examination.

Now what consist of coordinate geometry? ↧↧  pdf below ↧↧↧ 

Well , coordinate geometry consists of the straight lines, circles, parabolas, ellipse and hyperbolas. 
All the necessary stuff related to these topics have been given in the book.
Friends actually JEE examination generally mixes up the questions very well as we all know.
 But the questions which are asked in JEE from coordinate geometry mostly from the Straight lines, circles and parabolla.

Sometimes what happens the examiner mixes the questions among these topics. 
Which makes them a little bit tougher to think about, but if you have cleared your doubts and have grasp a strong command over these topics surely then you will be able to solve the book completely. 
Most of the students what did, they actually try to learn the equations of the particular topics in coordinate geometry, but there is a vast number of different forms.
They somehow manage to learn them and then they forget, and the result they fail to solve the easier questions comes from coordinate geometry which are asked directly. 
So remembering equations is not a solution,
But how to change them from one form to another matter really. 
Also the questions mostly asked from 3D and vectors( which I will provide later in upcoming post) are same as in coordinate geometry. 
What the difference is? It is only that normally there is 2D in coordinate geometry and 3D in the 3D vectors.

The book has covered all the important topics such as 

Straight lines

• perpendicular lines,
• parallel lines, normal to a slope, equation of tangent,
•  equation of tangent in normal form, 
• equation of straight line in 2 point form, 
• equation of straight line in 1 point form, 
• equation of straight line in parametric form, 
• equation of line in intercept form, equation of line in intersect form, 
• equation of line in slope form, family of straight lines, 
• angle between two lines, intercepts of a line on the axes, 
• parallel line to x-axis, parallel line to y-axis, 
• slope intercept form, point-slope form, two point form, perpendicular form, 
• distance form, position of a point relative to a line, 
• condition of concurrency, 
• intersection of lines, 
• lines parallel and perpendicular to a given line, 
• distance of a point from a line, area of a parallelogram,
•  image of a point with respect to a line, 
• equation of straight lines passing through a given point and making an angle with a line, l
• ine through intersection of two lines, equation of the bisectors, 
• bisector of the angle containing the origin, 
• acute and obtuse angle bisectors, 
• locus and its equation.circle, 
• standard equation of a circle, 
• some particular cases of the central form,
•  general equation of a circle, 
• circle passing through three points, 
• diameter form of a circle, 
• intercepts on the axes, position of a point with respect to a circle, 
• equation of a circle in parametric form, 
• intersection of a line and a circle, tangent to a circle with parametric, 
• slope and point form, normal to a circle, pairs of tangents,
•  length of a tangent, 
• director circle, chord of contact, 
• chord bisected at a given point, pole and polar, 
• common tangents to two circle, 
• common chord, length of common chord, 
• angle of intersection of two circles,
•  condition of orthogonality, properties of radical axis, radical centre,
•  family of circles,
•  co-axial system of circles, 
• system of coaxial circles when limiting points are given.

Parabola(conic)

• general equation of conic, axis, 
• vertex, centre, latus rectum, focal chord,
• double coordinate, 
• parabola and its standard form, 
• other standard forms of parabola, 
• focal distance of any point, parametric equations of a parabola,
•  point and parabola, 
• parametric equation of a chord, 
• focal length of a chord, 
• a line and a parabola, nature of the points of intersection,
• condition of tangency, 
• some useful results on tangents, 
• common tangents, angle of intersection of two curves, 
• some useful results on normals,
•  number of normal and conformal points, 
• some useful results on conformal points, 
• pair of tangents, chord of contact, 
• chord bisected at a given point, pole and polar diameter, 
• lengths of the tangent, 
• subtangent, 
• normal and subnormal.

Ellipse

• definition,
• standard form of ellipse,
• major and minor axes, foci,
• irectories, 
• eccentricity, 
• ordinate and double ordinate,
• latus rectum, 
• focal distances of a point, 
• other forms of ellipse, 
• equation of an ellipse referred to two perpendicular lines as axes,
•  position of a point with respect to an ellipse, 
• parametric coordinates and equation, 
• eccentric angle of a point, 
• parametric coordinates a point of a ellipse,
•  parametric equations, a line and an ellipse, 
• pair of tangents and their chord of contact, combined equation of pair of tangents, 
• properties of eccentric angles of conformal points, 
• chord bisected at a given point, conjugate diameters
•  properties of conjugate diameters.

• Hyperbola

• standard equation of hyperbola, 
• transverse and conjugate axes,directrices, 
• conjugate hyperbola, 
• intersection of a line and a hyperbola, 
• tangent to a hyperbola, 
• number of co tangents, pair of tangents and their chord of contact, 
• number of normal drawn from a point, rectangular hyperbola, 
• rectangular hyperbola referred as to its asymptotes as the axes of coordinates, 
• some useful results on rectangular hyperbola, 
• asymptotes etc are the given topics in this book.

So friends that’s all for this post.
I hope you will like it and my suggestion is to prepare and the devotee much time in coordinate geometry specially if you are in 11th standard, it will helpful for your school studies too. 
If you have any query related to this book or want to suggest to post a book, please email me or comment in the comment box. 
I will surely try to do my best to resolve your query. 
Till then keep practicing regularly and lead yourself towards excellence and success. 

And remember the aim-IITJEE.


Download the pdf and extract it:- http://bit.ly/Coordinate-Geometry-Google-Drive