Higher mathematics important books

1'st time self study 

 Important book 📚

I think higher mathematics for basic like     ( IIT JAM , CSIR NET , GATE , SET etc.) 

#1# Real Analysis 

 1)Shanti Narayan

2) Mathematical Analysis

By_S.C Malik  & Savita Arora

#2# Complex Analysis 

1) complex variable

 By_H.S kasana

2) Complex analysis

By_ J.N Sharma

3) Foundation of complex analysis

By_S Ponnusamy

#3# Abstract Algebra 

1) Contemporary Abstract Algebra

By_Joshep A.Gallina

2) A course abstract algebra

By_ Vijay

#4# Linear Algebra 

Schaum's Outline    &  Matrices

(Shyam Series)          (By_A.R Vasishtra)

                               

#5# Differential Equation 

Ordinary and Partial differential equation ( By_ M.D.Raisinghania ) 

#6# Vector Calculus 

Schyam's Outline

By_Marry R.Spiey

#7# Integral Calculus 

Thomas Calculus

         &

Schyam's Outline

By_Elliott Mendelnson

#8# Extra 

Playing with graphs

By_Amit M.Agarwal

#9# Entegral Equation 

Integral equation and boundary value problem  ( By_ M.D.Raisinghania ) 

#10# Numerical Analysis 

Numerical Method

By_ M.K Jain and other

Basic Mathematics higher examination

Basic mathematics topic for all Compettive exam UG and PG label like _

( IIT JEE  , IIT  JAM  , CSIR NET-JRF , TIFR , NBHM  , GATE , SET  , UPSC (CSE)  Optional Paper , PGT / TGT , 

University entrance exam etc. ) 

          Algebra        

1) Number System

2) Inequality

3) Longertham / modulus

4) Algebra identity

5) Quadratic equation

6) Complex No. 

7) Binomial theorem

8) Permutations & Combination

9) Probability

10) Sequence & Series

11) Matrices 

12) Determinant

      Calculus             

1) Set & Relationship

2) Function

3) Limit & Continuity & Differentibilty

   ( Function of one variable ) 

4) Differentiation

5) Application of  derivative

(Maxima & minima ,Tangent & normal) 

6) Indefinite integral

7) Definite integral

8) Application of definite integral

  ( Area bounded curve ) 

9) Differential Equation

       Trigonometry         

1) Trigonometical Ratio & Identities

2) Trigonometical Equation

3) Property of triangles

4) Inverse trigonometical function

5) Hight and District

       Co-Ordinate  Geometry

1) Cartesian co-ordinates

2) State line & Pair of straight line

3) Conic Section

(Circle & Parabola &Hyperbole &Ellipse) 

4) 3D Geometry

5) Vector Algebra

        Extra topics        

1) Mathematical Induction

2) Statistics

3) Mensuration

4) Kinematics

 ( Statics  & Dynamic  ) 

Total Topics = 35

_____________etc_________________

Indian Big Scam list

India' biggest scam list___

1)  (1947 __1980) 

Jeep scandal --(1948) ----Rs _80 lakhs

BHU Fund---(1956) ----Rs_50 lakhs

Mundhra scandal---(1957) --Rs_1.2 Crore

Teja loans --(1960) --Rs_2.2 Crore

Maruti scandal--(1971) --Rs_60 lakhs

Kuo oil deal --(1976) --Rs_2.2 Crore

Nagarwala scam--1971--Rs_60 lakhs

Total  =  

2)  (1981__1999) 

Antulay trust--(1981) --Rs_30 crore

Cement scam--(1982) -Rs_30 crore

Fodder scam--(1985) -- Rs_9400 crore

Bhansali scam--(1985) -Rs_1200 crore

HDW commission--(1987) --Rs_20 crore

Bofors pay - off --(1987) - Rs_65 crore

St kitte forgery--(1989) --Rs_9.5 crore

Air bus scandal--(1990) -Rs_2.5 crore

Hawala scam--(1991) -Rs_180 lakhs

Securities scam--(1992) -Rs_4000 crore

Indian bank rip- off --(1992) ---Rs___ 1300 crore

Harshad mehta securities scam--(1992)-

 Rs_ 5,000 crore

Jmm bribes --(1995) -- Rs_1.2 crore

SNC- Lavaalin --(1995) -Rs_3740 crore

In A pickle --(1996) -- Rs_10 lakhs

Telecom scam -(1996) - Rs_1.6 crore

Cobber scam --(1996) - Rs_950 crore

Hawala scam--(1996) -Rs_810 crore

Fertiliser import scam--() --Rs__1330 crore

Meghalaya forest scam-() --Rs___

3000 crore

Preferential allotment scale--()--Rs__5000 crore

Yugoslav dinar scam--() --Rs__4000 crore

Jalgaon housing scam dial -() - Rs_1670 crore

UREA scam --(1996) -Rs_133 crore

C.R.Bhansali scam---(1997) ---Rs___ 

1000 crore

Anubav plantation scam--(1998) --Rs__

400 crore

Vanishing companies--(1998) --Rs__331 crore

Plantation companies--(1999) - Rs_2563 crore

Total  =

3)  (2,000__2,010) 

UTI scam--(2000) --Rs_32crore

Ketan parekh scam-(2001) -Rs_137crore

Mutual fund scam--(2001) -Rs_1,350 crore

Home trade scam--(2002) -Rs_600 crore

Uttar pradesh food gain scam--(2002)- 35,000 crore

Stamp paper scam--(2003) --Rs_20,000 crore

Bihar flood scam-(2005) -Rs_17crore

Scorpene deal scam-(2005) -Rs_11,00 crore

Bhanu pratapgarh sahib dispropor tionate assest case -Rs_26crore

Taj corridor case-(2006) -Rs_175crore

IPO scam--(2006) --Rs_61crore

Punjab city-centre project scam- (2006)- 1500crore

Uttar pradesh ayurveda scam- (2008)- Rs_ 26crore

2G spectrum scam--(2008)- Rs_1,76,000 crore

Power theft scandal--(2008) -Rs_15,00 crore

Paaze forex scam-- Rs_ 800 crore

Army ration-pilferage scam--(2008)-- Rs_5,000crore

State bank of saurashtra scam--(2008) - Rs_9.5 crore

Hasan ali khan money-laundering care- (2008)--Rs_18.7crore

JVG scam or Australian Coke scam--(2009) -Rs_1000 crore 

Rice export scam-- (2009)--Rs_25,00 crore

Goa special economic zone scam-(2009) 10,000 crore

Gujarat vdsgcu sugar cane scam-- (2009) -Rs_ 18.7 crore

Satyam scandal--(2009) -14,162crore

Madho koda scam-- (2009) -Rs_4,000 crore

Orissa mine --(2009) -Rs_7,000 crore

Ishro-devas deal--(2010)--(2010) -Rs_ 200crore

Andhra pradesh emmar scam-(2010) -- Rs_ 25,00crore

Karnataka housing-bord scam-- (2010) - 35 crore

Odisha illegal-mining scam-- (2010) -Rs_59,203 crore

Gegong apang pd scam-- (2010) - Rs_10,000 crore

Karnataka wakf land scam--(2010) -Rs_ 2,00,000crore

Uttra khand citurgia land scam--Rs_400 crore

Housing loan scam-- (2010) -Rs_25,000 crore

Common wealth games scam--(2010)-Rs_40,000 crore

illegal money in Swiss bank estimate--(2008) - Rs_ 71,00,000 crore

TMC satyam case--(2008) -Rs_ 10,000 crore

Pune tax default--(2008) -Rs_ 50,000   crore

Total = 

         (India all scandal) 

        Check it on Wikipedia