Best books for general knowledge 2021-22 of india for all government exams like PCS,IPS,IAS,PATWARI,SI etc

1. GK book by lucent publications 2021-22:- this one is the best book for prepartion in short time. The many part of general knowledge like history ,economics,geography,miscellaneous questions and many more.

2. GK book by arihant publication 2022 :- This book is also a best option for study material. It will also cover many part of GK like world history, Indian history etc.

3. Indian polity by laxmikant:-  this one is best book for political part for basic knowledge.

4. Sada punjab :- This is the special book for punjab GK and government exam of punjab.

5. GK book by arihant publication in hindi 2022 :-if u have reading problem in english then u can also purchase gk book by arihant in hindi language

6. Student Atlas for india by oxford:-it is the best atlas and no question of map is going outside from this book

Best csir net mathematics books of infostudy by MIM academy

 1. Modern algebra:modern algebra by dr AP singh of MIM academy Chandigarh

2linear algebra: linear algebra by dr. AP singh of MIM academy Chandigarh

3. Real analysis:- real analysis book by dr. AP singh of MIM academy Chandigarh 

Best books for csir net mathematics 2020

Everyone want to crack the csir net.but the good books and right strategy is very helpful to achieve this aim.There are many books but todays i will help u to find the best books.with the help of internet i find the best books for csir net mathematics which as follows:

 1. Numerical methods  :- 

Numerical Methods: Problems and Solutions by M K jain,S R K Iyengar and R K jain

This is the best book for self study and u can buy it on amazon by click on link

    

2.  Modern algebra books :- Basic Abstract Algebra by P. B. Bhattacharya S. K. Jain S. R. Nagpaul(1994-11-25)

3. Real analysis books   :- mathematical analysis by sc malik and savita arora is the best book for csir net mathematics           

4. Linear algebra books:-linear algebra by schaum outlines is the best book for preparation of csir net mathematics

5 complex analysis:-  Complex   Variable (Schaum's Outlines) |Revised 2nd Edition is one of best book for csir net mathematics

6. Modern algebra:-Contemporary Abstract Algebra by joseph A gallian

7.ordinary and partial differential equations:- by MD Rai Singhania

How to find the distance between star and earth:- mathmasters.in

There are 2 method of measure the distance  in the world.

1. Direct method

2. Indirect method

1. :-direct method-  there is aa direct measurement by a specific scale.it is a finite distance.it can be measure easily.

2. Indirect method- in this method the Pythagoras and parallax method is used to measure.

             Stellar parallax method

              (Parallax method)

Astronomers estimate the distance of star in space by using a method called stellar parallax, or trigonometric parallax. Simply put, they measure a star's apparent movement against the background of more distant stars as Earth revolves around the sun. 

              Parallax method

Definition:-  Parallax is a displacement or difference in the apparent position of an object viewed along two different lines of sight, and is measured by the angle or semi-angle of inclination between those two lines.

:Astronomers estimate the distance of nearby objects in space by using a method called stellar parallax, or trigonometric parallax. 

Click here for full pdf form of how to find the distance between star and earth

Q  》how can find de distance                       between earth and stars? Or click here

ans 》Parallex method is used to measure distance between the earth and star. 

      Distance from sun to earth=1AU(austronic unit)

              1AU=1.5×(10)¹¹m 

               1AU=3×(10)¹¹m

                Angle (L)=arc/radius

                  Let radius=d

                     d=arc/angle

Let angle Q1 and Q2

              Total angle=Q1+Q2

                  d=2AU/(Q1+Q2) in radian

     d=3x(10)¹¹/(Q1+Q2)×1/60×1/60×π/180

              Let Q1=10sec,Q2=20sec

then        d=144×(10)14=14.4×(10)¹⁵

            d=2 light year(approx.)..answer

                                      (°:9.4×(10)¹⁵=1ligh year)

remember:60sec=1min,60min=1°,180°=pie 

remember:1mm=1/10 vernier clipers,1vc=screw gause

Previous year question paper for bsc. Maths honours of pbi.uni. patiala

 Previous year question paper of bsc. Maths honours of pbi.uni. patiala. You can download it by one click on the linked word

Bsc. Maths honours

Sem1

 Sub1 coordinate geometry

Download paper👉 2019

Sub2 calculus-I

Download paper👉 2019

 

Sub3 mathematical foundations of statistics

Download paper👉 2017, 2018, 2019

Sem2 

Sub1 linear programming 

Download paper👉 2018

Sem3 

Sub1 Optimization techniques

Download paper👉 2019

Sub2 mathematical methods

Download paper👉 2018, 2019

Sem4

Sub1: linear  algebra

Download paper👉 2021

Sub2: Analysis II

Download paper👉 2021

Sub3:PDE and system of ODE

Download paper👉 2021 

Sub4: optimization technique II

Download paper👉 2021

Sem 5

Sub1 algebra (ring and grp thoery)

Download paper👉 2016,17,18,19,  2020

Sub2 linear integral equation

Download paper👉 2016,17,18,  2020

Sub3 discrete mathematics and graph theory

Download paper 👉2017and 2019, 2020

Sub4 calculus of several variable and improper integral

Download paper👉2016,17,18, 2020

Sub5 mechanics I 

Download paper👉 2017,18,19, 2020

Sub6 modelling and simulation 

Download paper👉 2017

Sem6

Sub1 mechanicsII 

Download paper👉 2021

Sub2 number thoery

Download paper👉 2021

Sub3 Tensor analysis 

Download paper👉 2021

Sub4 partial differential equation

Download paper👉 2021

Sub5 numerical analysis

Download paper👉 2021

Previous year question paper of maths education of punjabi university patiala

Welcome to studyhelpers. Everybody can  download previous year question paper of BA

BA👉

Sem6

Sub1 algebra-II

Download paper👉 2020

Sub2 discrete mathematics-II

Download paper÷ 2020

Previous year question paper for bsc.non-medical of punjabi university patiala

Here the  Previous year question paper of bsc.non-medical of punjabi university patiala can be download and this previous year question paper are only for just knowledge for learner:-

Bsc. Non-medical:-

Sem1:

 Sub 1 algebra

     Download previous year question paper

     2014, 2017

         2 calculus

Download previous year question paper

2018

Calculus1÷ 2014, 2015, 2016

Calculus2÷ 2014, 2015

         3 coordinate geometry

2018

Coordinate geometry3÷ 2013, 2015, 2016

         4 differential equation 2018

Differential equations1÷ 2013, 2015

Differential equations2÷ 2014, 2015, 2016

         5 electricity and magnetism1

         6 electronics and solid state device2

         7 fundamentals of information technology

         8 inorganic chemistry

         9 Mechanics

        10 organic chemistry

        11 physical chemistry

        12 punjabi compulsory

        13 vibration and waves 1