CENGAGE MATHEMATICS COMPLETE COLLECTION PDF

Hi everyone, welcome to iitmind.com in this post, i have got the complete "Cengage mathematics collection of 5 books" which are:- Algebra, coordinate geometry, calculus, trigonometry and vector & 3D geometry. 
Special thanks to :- "Saroj Saxena" 

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☆ CONTENT OF CENGAGE ALGEBRA BOOK:-

1. Number system, inequalities and theory of equations

2. Complex number

3. Progression & series

4. Inequalities involving means

5. Permutation & combination

6. Binomial theorem

7. Determinant

8. Matrices

9. Probability

☆ DOWNLOAD THE BOOK FROM HERE:- Click here to download

☆ MUST DOWNLOAD:- Op tandon (physical organic inorganic) complete package

☆ CONTENT OF CENGAGE VECTORS & 3D GEOMETRY BOOK:-

1. Introduction to vectors

2. Different product of vectors & their geometrical applications.

3. Three- dimensional geometry

☆ DOWNLOAD THE BOOK FROM HERE:- Click here to download

☆ CONTENT OF CENGAGE CALCULUS BOOK:-

1. Functions

2. Limits

3. Continuity & differentiablity

4. Methods of differentiation

5. Application of derivatives: tangents & normal, rate measure

6. Monotonicity & maxima-minima of functions

7. Indefinite integration

8. Definite integration

9. Area

10. Differential equations

☆ DOWNLOAD THE BOOK FROM HERE:- Click here to download

☆ MUST READ:- MS chauhan organic chemistry for JEE & NEET

☆ CONTENT OF CENGAGE TRIGONOMETRY BOOK:-

1. Logarithm and its applications

2. Trigonometric ratio and its identities

3. Trigonometric equations

4. Inverse trigonometric functions

5. Solutions of triangle

6. Properties of triangle

☆ DOWNLOAD THE BOOK FROM HERE:- Click here to download

☆ CONTENT OF CENGAGE COORDINATE GEOMETRY BOOK:-

1. Straight lines

2. Circles

3. Parabola

4. Ellipse

5. Hyperbola

☆ DOWNLOAD THE BOOK FROM HERE:- Click here to download

☆ MUST READ:- Resnick halliday & walker 10th edition

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PATHFINDER FOR OLYMPIAD MATHEMATICS BY PEARSON

Hey everyone, welcome to iitmind.com in this post, we will about the "Pathfinder for olympiad (mathematics) book which is a must recommended book for olympiads by Pearson publications.

☆ READ ARTICLE:- Indian national mathematical olympiad (arihamt pdf)

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☆ CHAPTERS AND CONTENT OF THIS BOOK:-

1. Polynomials
2. Inequalities
3. Mathematical induction
4. Recurrence relation
5. Functional equations
6. Number theory
7. Combinatorics
8. Geometry

☆ MORE BRIEF CONTENT:-
• Chapter 1 (Polynomials):-
Polynomial Functions 
Division in Polynomials 
Remainder Theorem and Factor Theorem 
Fundamental Theorem of Algebra 
Polynomial Equations 
Vieta’s Relations 
Symmetric Functions 
Common Roots of Polynomial Equations 
Irreducibility of Polynomials 

• Chapter 2 (Inequalities):-
Basic Rules 
Weirstras’s Inequality 
Modulus Inequalities 
Sum of Squares (SOS) 
Arithmetic Mean ≥ Geometric Mean ≥ Harmonic Mean 
Weighted Means 
Power Mean Inequality 
Rearrangement Inequality 
Chebyshev’s Inequality 
Cauchy–Schwarz Inequality 
Hölders Inequality 
Some Geometrical Inequalities 

Jensen’s Inequality

☆ MUST PRACTICE:- Himanshu pandey organic chemistry

• Chapter 3 (Mathematical Induction):-
Introduction 
First (or Weak) Principle of Mathematical Induction 
Second (or Strong) Principle of Mathematical Induction 

• Chapter 4 (Recurrence Relation):-
Introduction 
Classification 
First Order Linear Recurrence Relation 
First Order Non-linear 
Linear Homogeneous Recurrence Relation 
with Constant Coefficient of Order ‘2’
General Form of Linear Homogeneous Recurrence Relation 
with Constant Coefficients 
General Method for Non-Homogeneous 
Linear Equation 

• Chapter 5 (Functional Equations):-
Function 
Functional Equation

• Chapter 6 (Number Theory):-
Divisibility of Integers 
Euclids Division Lemma 
Greatest Common Divisor (GCD) 
Primes 
Fundamental Theorem of Arithmetic 
Number of Positive Divisors of a Composite Number 
Modular Arithematic 
Complete Residue System (Modulo n) 

Some Important Function/Theorem
Scales of Notation 
Greatest Integer Function 
Diophantine Equations 

• Chapter 7 (Combinatorics):-
Definition of Factorial 
Basic Counting Principles 
Combinations 
The Bijection Principle 
Combinations with Repetitions Allowed 
Definition of Permutation (Arrangements) 
Introduction to Circular Permutation 
Division and Distribution of Non-identical Items in Fixed Size 
Number of Integral Solutions 
Binomial, Multinomial and Generating Function 
Application of Recurrence Relations 
Principle of Inclusion and Exclusion (PIE) 
Derangement 
Classical Occupancy Problems 
Dirichlet’s (Or Pigeon Hole) Principle (PHP)

☆ MUST DOWNLOAD:- iitjee previous years solved papers

• Chapter 8 (Geometry):-
Angle 
Congruent Triangles 
Triangle Inequality 
Ratio and Proportion Theorem (or Area Lemma) 
Mid-point Theorem 
Basic Proportionality Theorem (Thales’ Theorem) 
Similar Triangles 
Baudhayana (Pythagoras) Theorem 

Quadrilaterals
Concurrency and Collinearity 
Circles 
Quadrilaterals (Cyclic and Tangential)
Application of Trigonometry in Geometry

Construction of Triangles

☆ ABOUT PEARSON:-

Pearson is the world’s learning company, with presence across 70 countries worldwide. Our unique insights and worldclass expertise comes from a long history of working closely with renowned teachers, authors and thought leaders, as a result of which, we have emerged as the preferred choice for millions of teachers and learners across the world.

We believe learning opens up opportunities, creates fulfilling careers and hence better lives. We hence collaborate with the best of minds to deliver you class-leading products, spread across the Higher Education and K12 spectrum.

☆ DOWNLOAD PATHFINDER FOR MATHEMATICS OLYMPIAD FROM HERE:- Click here to download

☆ ALSO DOWNLOAD:- Bansal maths iitjee master package pdf

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ALLEN PCM HANDBOOK FOR JEE MAIN AND ADVANCED PDF

Hi everyone, welcome to iitmind.com, we have crossed "800K views" worldwide. Thankyou everyone for supporting this blog, please keep supporting and sharing it. This post is about the "Allen handbook of physics, chemistry and maths for JEE aspirants".

☆ MUST PRACTICE:- Pearson mathematics (Trigonometry) for IITJEE

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☆ This handbook is a combination of Physics, chemistry and mathematics modules.

☆ The size is around 100Mb

☆ This handbook consist of all the necessary formulas and quick revising concepts of class 11th, 12th ( with respect to syllabus of IITJEE)

☆ This handbook has well explained graphs and diagrams for in depth and clear concept practice.

☆ There are "Important notes" in between each chapters which acts as an additional information and trick.

☆ MUST DOWNLOAD:- Ariihant physics practice book for IITJEE

☆ DOWNLOAD HANDBOOK OF ALLEN FOR PCM FROM LINK GIVEN BELOW:-

Click here to download

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JEE ADVANCED 2019 QUESTION PAPERS WITH SOLUTIONS BY ALLEN

Hey everyone, welcome to iitmind.com, we are just going to cross 800K page views. It's a glad to see that engineering and IITJEE aspirants are getting benefit from this blog, that's all what the vision of this blog is. I am trying my best to provide the best quality study material to both. Thanks a lot for support, please keep supporting it.

》MUST READ:- N Avasthi Physical chemistry for IITJEE

☆ JEE Advanced 2019: A Quick Analysis of Paper 1:-

1. Total Marks of Paper 1: 186 & Duration: 3 hrs
2. The Paper had 54 questions in total.
3. The Paper-1 had 3 three parts- Physics, Chemistry & Mathematics.
4. Max. Marks for each Part was 62.
5. In each part, there were three sections: Sec-1(Max. marks-12), Sec-2 (Max. Marks-32) & Sec-3 (Max. marks-18).
6. Sec-1 had 4 questions with four options in each in which ONLY ONE of the four options was correct. The marking scheme in this section:-

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• Full marks: +3 in case all options are correct,
• Zero Marks:: 0 if none of the options are chosen
• Negative Marks: -1 In all other cases

7. Sec-2 had 8 questions with four options in which One Or More Than One option(s) were correct. Marking scheme in this section:

• Full marks: +4  If only(all)  the correct options are chosen
• Partial Marks: +3 If all the four options are correct but ONLY three correct options are chosen
• Partial Marks: +2 If three or more options are correct but only two correct options are chosen
• Partial Marks: +1 If two or more options are correct but only one correct option is chosen
• Zero Marks:: 0  If none of the options are chosen
• Negative Marks: -1 In all other cases

》 MUST PRACTICE:- JEE Chemistry 40 years solved papers (complete package)

8. Sec-3 had 6 questions . The answer to each questions was a Numerical Value. If the numerical value had more than two decimal places, truncated/rounded-off value to two decimal places was asked. The marking scheme in this section:

• Full marks: +3 If only the correct numerical value was entered
• Zero Marks:: 0 In all other cases.

☆ JEE Advanced 2019: Paper Analysis by Students:-

• They found the overall level of paper Moderate to Difficult level but not easy.
• Some students have reported Maths & Chemistry as Moderate but Physics relatively difficult.
• As per students in Physics questions from all chapter of 11th & 12th class were asked. In Mathematics, there were more questions from Algebra & Coordinate Geometry. In Chemistry, Few questions on Organic Chemistry as compared to Inorganic & Physical Chemistry.
• No mistakes reported till now as complete paper is yet to be analysed.
• Total no. of questions (54 questions) remains same as last year however total marks of Paper-1 has changed from 180 to 186 marks this year.

》 DOWNLOAD:- JEE Advanced 2019 papers with answers

》DOWNLOAD:- JEE Advanced 2019 papers with answers and solution

》DOWNLOAD:- JEE Advanced 2019 paper analysis

》 MUST DOWNLOAD:- Bansal Maths IITJEE Master Package

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FIITJEE QUESTION PAPERS FROM RANKERS STUDY MATERIAL

FIITJEE is one of the most trusted names when it comes to JEE coaching. Every year, it produces a fabulous list of results (33% of successful students in almost every category are claimed to be FIITJEE students). Now, that is a massive number and it definitely raises some questions. Is the material of FIITJEE so good that this happens? Or is the faculty pool of FIITJEE that good? Many of you have asked me about FIITJEE RSM – how is it, how did I use it, and stuff. Bored of answering individual comments about the same thing, I decided to write this article. I hope that this article will be able to clear all of your confusions on this topic.

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Firstly, I can say that the material is definitely rock-solid. It has all you need in order to clear JEE well, provided you take this material. However, in no way am I criticising the material of other institutes. As I had taken the Correspondence Course of FIITJEE, I know how good it is and how much it did help me in my preparation. However, the utility of FIITJEE material depends on what subject we are discussing on.

☆ MUST PRACTICE:- Cengage trigonometry

Physics is covered in an awesome way in RSM. All of the required concepts can be found in the theory, as well as in the solved problems. The subjective exercises are a must, and they help clear out a lot of concepts of the chapters. The objective exercises aren’t as tough, but they feature questions that are pretty relevant to the current JEE examination. 

Chemistry is good, but there is a difference in the three portions of chemistry. Basically, Physical Chemistry booklets have great theory and a good collection of problems. So, that is a must. Organic Chemistry is decent, the theory is good but the questions (especially the objective exercises) are repetitive. Some objective questions have wrong answers too. However, FIITJEE material is pretty accurate and the error percentage of the answers is pretty low. Inorganic Chemistry is decent too. However, as far as the theory is concerned, it is a bit more than JEE level. Honestly, for Inorganic I would advise everyone to stick to NCERT if JEE is your ultimate aim. However, FIITJEE RSM’s inorganic chemistry theory is useful for Olympiads and such. 

☆ MUST READ:- O.P tondon (physical, organic, inorganic) complete package

Mathematics given in the RSM is honestly of a level that is much higher than that of JEE. My personal experience is that I could not solve all the subjective problems given in RSM. Objective questions were something that I could solve, atleast 80% of them. However, the questions are pretty comprehensive and cover multiple concepts per question. So, on the overall, the question quality is pretty good. However, it will definitely make you sweat from the difficulty.

The quizzes that accompany each chapter are useful and relevant. I would advise you to solve the papers that are given for practice. Also, the Miscellaneous Booklets are a great collection of many practice problems. 

☆ DOWNLOAD RANKERS STUDY MATERIAL PACKAGE FROM HERE:- Click here to download

☆ MUST PRACTICE:- Cengage vectors & 3D geometry

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TOP 30 BOOKS MUST READ BY ENGINEERING STUDENTS

1. To Engineer Is Human: The Role of Failure in Successful Design

Written by Henry Petroski, this book emphasizes the importance of the study of design failures. It explores well-known engineering failures such as the Hyatt Skywalk, The Mianus River Bridge collapse, and the problematic DC-10 engine servicing.

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2. Zen and the Art of Motorcycle Maintenance

Written by Robert Pirsig, this book is probably one of the most influential engineering books of the 20th century. It was first published over forty years ago and it's still relevant today for any mechanical engineer. Pirsig explores the question "What is quality?". It is said that the quest ultimately drove the author insane. Anthony J Marchese from Colorado State University describes this book as representing a journey upon which all mechanical engineers should embark.

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3. The Design of Everyday Things

This is a classic engineering book and has been through several editions. Written by Donald Norman, this book isn't just about the design process but also about people and the way they use things. The Design of Everyday Things can change the way we think about the products we use, and about the part we play in creating new products.

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4. Engineering Fundamentals - An Introduction To Engineering

Specifically designed for people who are interested in studying engineering, this is an excellent introduction written by Saeed Moaveni. It explains the fundamental principles of engineering. A worthy entry on the list of great engineering books.

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5. Engineering - A Very Short Introduction

Written by David Blockley, this engineering book is aimed at those who want to learn more about engineering but have limited time. It explores the history and the nature of engineering.

☆ MUST WATCH:- Motivational movies for iitjee aspirants & engineering students

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6. Basic Machines And How They Work

This book is perfect for anyone interested in mechanical engineering. It covers a range of primary theories beginning with basic machines.

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7. Studying Engineering - A Road Map to A Rewarding Career

First released in 1995, this book is a must-read for anyone interested in a career in engineering. It has become the best-selling introduction book to the engineering of all time. We highly recommend it.

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8. Engineering the ABC’s: How Engineers Shape Our World

This one is for children. In this book, Patty O'Brien Novak is simply explaining why engineering is important and how engineers shape our world.

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9. Basics of Mechanical Engineering

Here is another great book for anyone who wishes to know more about mechanical engineering. It intends to teach basic concepts and principles.

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10. 101 Things I Learned in Engineering School

This doozy contains real-life examples of fundamental physics and engineering principles.

☆ MUST READ:- Reversing: secrets of reverse engineering

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11. The Existential Pleasures of Engineering (Thomas Dunne Book)

This interesting engineering book explores how engineers think and feel about their chosen profession.

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12. Unwritten Laws of Engineering: Revised and Updated Edition.

This book is practically the canon of engineers. Since it was first published in 1944, it has become a key study book for engineers.

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13. The Mythical Man-Month (and Other Essays on Software Engineering)

First published in 1995, The Mythical Man-Month by Frederick P. Brooks Jr. is a well written and witty engineering book. It describes the difficulties of engineering complex systems, as well as explores a perspective on the operation of organizations. This book should not only be read by engineers, but by every manager of a technology organization.

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14. Design for the Real World: Human Ecology and Social Change

This is a seminal book on appropriate technology that incorporates a wider philosophy of the social role of design. Written by Victor Papanek, this book is very much a manifesto imparted with urgency and feeling.

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15. The Soul of a New Machine

This book is about Data General during the 1970's. The writer Tracy Kidder successfully captures the excitement and obsession provoked by the act of creation. It focuses on the team as they design a new computer. So, expect lots of sideburns and beards. This is an excellent book that deserves to be discovered.

☆ MUST READ:- towards excellence: how to study in exam

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16. Normal Accidents: Living with High-Risk Technologies

As the title suggests, this engineering book is about how a range of accidents happen. It is an exploration of systemic failure and its implications. Written by Charles Perrow, this book is extraordinarily readable and full of compelling examples.

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17. Brunelleschi's Dome

Brunelleschi's Dome is about one of the most impressive projects of the Renaissance, the Dome of Florence Cathedral. In this book, writer Ross King tells both the biography of a genius and the history of an incredible piece of engineering.

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18. Homo Faber

This is actually a novel but still a worthy entry. The title Homo Faber refers to both 'man the maker' and the voice of the narrative Walter Faber. The book tears apart the world-view of engineering.

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19. Why Buildings Stand Up: The Strength of Architecture from the Pyramids to the Skyscraper

Written by Mario Salvadori, this overview of building methods provides essential awareness of problem-solving in structural engineering.

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20. Why Buildings Fall Down: How Structures Fail

In this well-known book, the authors examine buildings of all kinds and time periods. Their subjects range from Parthenon's man-caused destruction to damages of the earthquake of 1989 in Armenia and San Francisco.

☆ MUST WATCH:- Ethical hacking penetration testing

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21. The Making of an Expert Engineer

This book sets out the principles of engineering practice. It explores knowledge that has come to light through the research run on engineers at work by the author James Trevelyan and his students for more than a decade.

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22. Fundamentals of Thermodynamics 8th Edition

This book continues to offer a comprehensive and rigorous analysis of classical thermodynamics. Written by Claus Borgnakke, Richard E. Sonntag, it's now on its eighth edition.

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23. Engineering in the Ancient World, Revised Edition

In his classic book, J. G. Landels describes the technological advances of the Greeks and Romans with erudition and enthusiasm.

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24. The Pragmatic Programmer: From Journeyman to Master

Written by Andrew Hunt and David Thomas, this engineering book cuts through the increasing specialization and technicalities of modern software development. It examines the core process, taking a requirement and producing maintainable code that delights its users.

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25. Design Paradigms: Case Histories of Error and Judgment in Engineering

Another classic from Henry Petrovski. This book takes you on a tour of various structures from classical temples to twentieth-century towers. It explains how engineers have learned about design more from failure than from success.

☆ MUST WATCH:- Top 10 books for hackers & programmers

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26. David McCullough: The Great Bridge

The Epic Story of the Building of the Brooklyn Bridge Written by David McCullough, this book takes a look at the dramatic and enthralling story of the building of the Brooklyn Bridge. It was the world’s longest suspension bridge at the time.

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27. Machinery's Handbook, Pocket Companion

This book is designed for anyone in the machine trades for whom convenient access to just the most basic data is at a premium.

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28. Engineering Legends: Great American Civil Engineers

This book by Richard Weingardt features a list of 32 engineering legends from the 1700s to the present.

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29. Theory of Machines

Serving as a textbook for students of B Tech, this book by R.S. Khurmi includes color plates. It covers topics such as Kinematics of Motion, Simple Harmonic Motion, Steam engine valves and much more. So there you go, our choice of some of the 30 best engineering books out there. Have we missed any other great titles? Why not let us know your favorites.

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30. Designing Engineers

Designing Engineers, written by Louis L. Bucciarelli, "describes the evolution of three disparate projects: an x-ray inspection system for airports, a photo print machine, and a residential photovoltaic energy system".

The book takes the reader through the design process of these projects. It explores the negotiation (and often conflict) between engineers, marketing staff, research scientists, accountants, and customers, that go into bringing a new product to market. This book will help any budding engineer, or veteran, understand that engineering projects are more than just designing and making 'things'.

☆ ALSO WATCH:- introduction to quantum mechanics

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