Unproblem JEE Algebra For JEE Main & Advanced

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Publisher :
ISBN 13 : 9789326199940
Total Pages : 0 pages
Book Rating : 4.1/5 (999 download)

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Book Synopsis Unproblem JEE Algebra For JEE Main & Advanced by : Amit Kumar Singh

Download or read book Unproblem JEE Algebra For JEE Main & Advanced written by Amit Kumar Singh and published by . This book was released on 2022-07-08 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Arihant all new 'Unproblem' series is prepared to fulfill the needs of the good mathematics problems book by offering quality questions from each chapter of subject in order to enhance the analytical ability of the students. Introducing to you the "Unproblem - Algebra: JEE Main & Advanced", which is a vast bank of questions designed on the trends appearing in JEE Mains & Advanced examination. This book offers an opportunity to familiarize themselves with the nature and level of questions asked in the exams. All the problems provided are arranged strategically in a Chapterwise manner. Given over 2000 problems, this book provides rigorous practice that will certainly secure good scores in Algebra section of Mathematics. Dividing every chapter into 3 different levels: LEVEI 1 - Starter Level: consists of preliminary questions that test basic concepts for solid understanding of the fundamentals. LEVEL 2 - JEE Main Level: this level has single choice correct questions and numerical value questions especially prepared for JEE Main. LEVEL 3 - JEE ADVANCED LEVEL: it consists of various types of questions MCQ with one or more than one correct answer, comprehension Based Questions etc. designed as per the latest JEE Advanced Pattern This book contains: 1.Divides entire syllabus into 11 chapters 2.Each chapter is segregated into 3 levels 3.Important and repeated questions are provided with detailed solutions 4.Hints/solutions are provided at the end of each chapter 5.Provides all types of questions TABLE OF COTNENT Sets, Relation and Functions, Theory of Equations, Complex Numbers, Permutations and Combinations, Binomial Theorem and Mathematical Induction, Probability Matrices, Determinants, Mathematics Reasoning, Statistics.

Skill in Mathematics - Algebra for JEE Main and Advanced

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Author :
Publisher : Arihant Publications India limited
ISBN 13 : 9325298635
Total Pages : 836 pages
Book Rating : 4.3/5 (252 download)

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Book Synopsis Skill in Mathematics - Algebra for JEE Main and Advanced by : Dr. S K Goyal

Download or read book Skill in Mathematics - Algebra for JEE Main and Advanced written by Dr. S K Goyal and published by Arihant Publications India limited. This book was released on 2021-04-19 with total page 836 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. ‘Skill in Mathematics’ series is prepared for JEE Main and Advanced papers 2. It is a highly recommended textbook to develop a strong grounding in Algebra 3. The book covers the entire syllabus into 11 chapters 4. Each chapter includes a wide range of questions that are asked in the examinations Good foundational grip is required in the Algebraic Methods, while you are preparing for JEE Mains & Advanced or any other engineering. Bringing up the series “Skills in Mathematics for JEE Main & Advanced for Algebra” that is carefully revised with the sessionwise theory and exercise; to help candidates to learn & tackle the mathematical problems. The book has 11 Chapters covering the whole syllabus for the JEE Mains and Advanced as prescribed. Each chapter is divided into sessions giving complete clarity to concepts. Apart from sessionwise theory, JEE Type examples and Chapter Exercise contain a huge amount of questions that are provided in every chapter under Practice Part. Prepared under great expertise, it is a highly recommended textbook to develop a strong grounding in Algebra to perform best in JEE and various engineering entrances. TOC: Complex Numbers, Theory of Equations, Sequences and Series, Logarithms and Their Properties, Permutations and Combinations, Binomial Theorems, Determinants, Matrices, Probability, Mathematical Inductions, Sets, Relations and Functions.

Algebra for JEE Advanced, 3E (Free Sample)

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Publisher : Cengage India Private Limited
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4./5 ( download)

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Book Synopsis Algebra for JEE Advanced, 3E (Free Sample) by : G. Tewani

Download or read book Algebra for JEE Advanced, 3E (Free Sample) written by G. Tewani and published by Cengage India Private Limited. This book was released on 2022-05-19 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebra for JEE (Advanced), a Cengage Exam Crack Series® product, is designed to help aspiring engineers focus on the subject of mathematics from two standpoints: To develop their caliber, aptitude, and attitude for the engineering field and profession. To strengthen their grasp and understanding of the concepts of the subjects of study and their applicability at the grassroots level. Each book in this series approaches the subject in a very conceptual and coherent manner. While its illustrative, solved examples facilitate easy mastering of the concepts and their applications, an array of solved problems exposes the students to a variety of questions that they can expect in the examination. The coverage and features of this series of books make it highly useful for all those preparing for JEE Main and Advanced and aspiring to become engineers.

Mathematics for IIT-JEE Main & Advanced Volume 1

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Author :
Publisher : S. Chand Publishing
ISBN 13 : 9355014007
Total Pages : 1076 pages
Book Rating : 4.3/5 (55 download)

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Book Synopsis Mathematics for IIT-JEE Main & Advanced Volume 1 by : M.L. Khanna

Download or read book Mathematics for IIT-JEE Main & Advanced Volume 1 written by M.L. Khanna and published by S. Chand Publishing. This book was released on with total page 1076 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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!

Problems in Maths for JEE (Main & Advanced) - Volume 2

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Author :
Publisher : Career Point Publication
ISBN 13 : 8193262832
Total Pages : 404 pages
Book Rating : 4.1/5 (932 download)

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Book Synopsis Problems in Maths for JEE (Main & Advanced) - Volume 2 by : Career Point Kota

Download or read book Problems in Maths for JEE (Main & Advanced) - Volume 2 written by Career Point Kota and published by Career Point Publication. This book was released on 2020-07-07 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Problems in Maths for JEE (Main & Advanced) by Career Point – Volume 2 is a collection of conceptual questions along with detailed solutions. These questions are thought-provoking and cover the application of various concepts in solving problems. Questions in this book are handpicked by experienced faculty members of Career Point to enhance the following skills of the students– 1. Understanding of concepts and their application to the grass-root level. 2. Improving their scoring ability & accuracy by providing an opportunity to practice a variety of questions. The book approaches the subject in a very conceptual and coherent manner. Chapter-wise varieties of questions are arranged in a sequential manner to build a strong foundation of fundamentals. The coverage and features of books make it highly useful for all those preparing for JEE (Main & Advanced) and aspiring to become IITians or NITians. The book is also useful for students who are preparing for KVPY and Olympiads. This volume consists of chapter wise challenging questions with detailed explanatory solutions from the following chapters for JEE- 1. Function 2. Inverse Trigonometric Functions 3. Limit 4. Continuity 5. Differentiation 6. Application of Derivatives # 1 (Tangent & Normal) 7. Application of Derivatives # 2 (Monotonicity) 8. Application of Derivatives # 3 (Maxima & Minima) 9. Indefinite Integration 10. Definite Integration 11. Area Under the Curve 12. Differential Equation 13. Probability 14. Determinants 15. Matrices 16. Vector 17. Three Dimensional Geometry (3D) Highlights: Improves student’s critical thinking & application of concepts in varied situations As per the requirement of JEE(Advanced) Improves self-learning hence enhances confidence and scoring ability Also useful for Olympiad and other high-level competitive exams Prepared by Career Point Kota classroom Faculty Team

Skill in Mathematics - Algebra for JEE Main and Advanced

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Author :
Publisher :
ISBN 13 : 9789389204759
Total Pages : 0 pages
Book Rating : 4.2/5 (47 download)

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Book Synopsis Skill in Mathematics - Algebra for JEE Main and Advanced by : S K Goyal

Download or read book Skill in Mathematics - Algebra for JEE Main and Advanced written by S K Goyal and published by . This book was released on 2023-04-13 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Concepts of Algebra for the JEE (Main and Advanced)

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Author :
Publisher : Pearson Education India
ISBN 13 : 933254087X
Total Pages : 481 pages
Book Rating : 4.3/5 (325 download)

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Book Synopsis Concepts of Algebra for the JEE (Main and Advanced) by : Vikas Rahi

Download or read book Concepts of Algebra for the JEE (Main and Advanced) written by Vikas Rahi and published by Pearson Education India. This book was released on 2014 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concepts of Algebra for the JEE (Main & Advanced) is a perfect combination of concepts, explanations, solved examples, and multiple-choice questions. Subjective problems have also been included to help candidates get a solid grasp over the subject and prepare well for the examinations. The author has written this book out of the 23 years of teaching mathematics to the IIT-JEE aspirants.

(Free Sample) Algebra Vol 1 for Boards/ JEE Main/ Advanced/ Olympiads/ KVPY

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Author :
Publisher : Disha Publications
ISBN 13 :
Total Pages : 117 pages
Book Rating : 4./5 ( download)

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Book Synopsis (Free Sample) Algebra Vol 1 for Boards/ JEE Main/ Advanced/ Olympiads/ KVPY by : Disha Experts

Download or read book (Free Sample) Algebra Vol 1 for Boards/ JEE Main/ Advanced/ Olympiads/ KVPY written by Disha Experts and published by Disha Publications. This book was released on with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebra Vol 1 for Boards/ JEE Main/ Advanced/ Olympiads/ KVPY is a unique book as it starts from the scratch and goes up to Olympiad level. The salient features are: Each of the chapters can be divided into 2 parts - JEE Main Comprehensive theory with numerous Illustrations followed by 2 level of exercises & JEE Advanced Theory with Illustrations followed by 3 level of exercises. • Concept Applicator (CA) In chapter exercise in Part A • Concept Builder (CB) Post chapter exercise containing easy questions in Part A • Concept Cracker (CC) Post chapter exercise containing past exam questions & difficult questions for JEE Main • Concept Deviator (CD) - contains all variety of JEE Advanced problems • Concept Eliminator (CE) - Olympiad level difficult problems The book also contains questions from the past years IIT JEE/ AIEEE questions. Each and every question is given with detailed solution.

(Free Sample) Algebra Vol 2 for JEE Main & Advanced/ Boards/ Olympiads/ KVPY

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Author :
Publisher : Disha Publications
ISBN 13 :
Total Pages : 147 pages
Book Rating : 4./5 ( download)

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Book Synopsis (Free Sample) Algebra Vol 2 for JEE Main & Advanced/ Boards/ Olympiads/ KVPY by : Disha Experts

Download or read book (Free Sample) Algebra Vol 2 for JEE Main & Advanced/ Boards/ Olympiads/ KVPY written by Disha Experts and published by Disha Publications. This book was released on with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebra Vol 2 for JEE Main & Advanced/ Boards/ Olympiads/ KVPY is a unique book as it starts from the scratch and goes up to Olympiad level. The salient features are: Each of the chapters can be divided into 2 parts - JEE Main Comprehensive theory with numerous Illustrations followed by 2 level of exercises & JEE Advanced Theory with Illustrations followed by 3 level of exercises. • Concept Applicator (CA) In chapter exercise in Part A • Concept Builder (CB) Post chapter exercise containing easy questions in Part A • Concept Cracker (CC) Post chapter exercise containing past exam questions & difficult questions for JEE Main • Concept Deviator (CD) - contains all variety of JEE Advanced problems • Concept Eliminator (CE) - Olympiad level difficult problems The book also contains questions from the past years IIT JEE/ AIEEE questions. Each and every question is given with detailed solution.

Practice Book Mathematics For Jee Main and Advanced 2022

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Publisher : Arihant Publications India limited
ISBN 13 : 9325792257
Total Pages : 1014 pages
Book Rating : 4.3/5 (257 download)

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Book Synopsis Practice Book Mathematics For Jee Main and Advanced 2022 by : Dr. SK Goyal

Download or read book Practice Book Mathematics For Jee Main and Advanced 2022 written by Dr. SK Goyal and published by Arihant Publications India limited. This book was released on 2021-08-26 with total page 1014 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. The current edition of New pattern JEE problem increases the comprehension 2. New pattern JEE problem Mathematics for JEE Main & advanced is a master practice 3. The book is divided into 32 chapters 4. More than 8000 JEE level problem that include all types of objective questions 5. Last 5 Previous years’ solved Paper (2020-2016) 6. Step-by-step explanations given to all the question for conceptual learning JEE Main & Advanced exam demands a high level of understanding of questions and interpretation of Solutions. It also challenges the comprehension and analytical skills to be more prompt in answering the questions asked in the exam. Arihant’s Master Problem Package presents the revised edition of “New Pattern JEE Problems Mathematics for JEE Main & Advanced” that is designed to give you a collection of all types of Objective Questions asked in JEE Exams these days. Supplemented with ample number of questions for practice, the entire syllabus has been categorized under 35 chapters. More than 8000 JEE level problem that include all types of objective questions. Solutions in this book are presented in a step by step manner to make you learn how to strategize for a problem along with the ways to move tactically to get correct answer. This book seeks to develop the capability of in appreciation of the inter-play concepts in arriving at the correct answer fast, in the students. TOC Complex Number, Theory Of Equations, Sequences And Series, Permutations And Combinations, Binomial Theorem, Matrices, Logarithms And Their Properties, Probability, Sets, Relations And Functions, Limits, Continuity And Differentiability, Differential Coefficient, Applications Of Derivatives, Monotonicity, Role's And Mean Value Theorems, Maxima And Minima, Indefinite Integration, Definite Integration, Areas, Differential Equations, The Straight Lines, Pairs Of Straight Lines, Circle, Parabola, Ellipse, Hyperbola, Trigonometrical Ratios And Identities, Trigonometric Equations, Solutions Of Triangles, Height And Distance, Inverse Circular Functions, Vectors, Three Dimensional Geometry, Mathematical Reasoning, Statistics.

Skills in Mathematics - Coordinate Geometry for JEE Main and Advanced

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Publisher : Arihant Publications India limited
ISBN 13 : 9325298643
Total Pages : 638 pages
Book Rating : 4.3/5 (252 download)

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Book Synopsis Skills in Mathematics - Coordinate Geometry for JEE Main and Advanced by : Dr. S K Goyal

Download or read book Skills in Mathematics - Coordinate Geometry for JEE Main and Advanced written by Dr. S K Goyal and published by Arihant Publications India limited. This book was released on 2021-04-19 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. ‘Skill in Mathematics’ series is prepared for JEE Main and Advanced papers 2. It is a highly recommended textbook to develop a strong grounding in Coordinate Geometry 3. The book covers the entire syllabus into 7 chapters 4. Each chapter includes a wide range of questions that are asked in the examinations Good foundational grip is required in the Coordinate Geometry, while you are preparing for JEE Mains & Advanced or any other engineering. Bringing up the series “Skills in Mathematics for JEE Main & Advanced for Coordinate Geometry” that is carefully revised with the sessionwise theory and exercise; to help candidates to learn & tackle the mathematical problems. The book has 7 Chapters covering the whole syllabus for the JEE Mains and Advanced as prescribed. Each chapter is divided into sessions giving complete clarity to concepts. Apart from sessionwise theory, JEE Type examples and Chapter Exercise contain huge amount of questions that are provided in every chapter under Practice Part. Prepared under great expertise, it is a highly recommended textbook to develop a strong grounding in Algebra to perform best in JEE and various engineering entrances. TOC: Coordinate Systems and Coordinates, The Straight Lines, Pair of Straight Lines, Circle, Parabola, Ellipse, Hyperbola.

Algebra Vol 1 for Boards/ JEE Main/ Advanced/ Olympiads/ KVPY

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Author :
Publisher : Disha Publication
ISBN 13 : 9789386323606
Total Pages : 554 pages
Book Rating : 4.3/5 (236 download)

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Book Synopsis Algebra Vol 1 for Boards/ JEE Main/ Advanced/ Olympiads/ KVPY by : Disha Experts

Download or read book Algebra Vol 1 for Boards/ JEE Main/ Advanced/ Olympiads/ KVPY written by Disha Experts and published by Disha Publication. This book was released on 2019-10-10 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebra Vol 1 for Boards/ JEE Main/ Advanced/ Olympiads/ KVPY is a unique book as it starts from the scratch and goes up to Olympiad level. The salient features are: Each of the chapters can be divided into 2 parts - JEE Main Comprehensive theory with numerous Illustrations followed by 2 level of exercises & JEE Advanced Theory with Illustrations followed by 3 level of exercises. - Concept Applicator (CA) In chapter exercise in Part A - Concept Builder (CB) Post chapter exercise containing easy questions in Part A - Concept Cracker (CC) Post chapter exercise containing past exam questions & difficult questions for JEE Main - Concept Deviator (CD) - contains all variety of JEE Advanced problems - Concept Eliminator (CE) - Olympiad level difficult problems The book also contains questions from the past years IIT JEE/ AIEEE questions. Each and every question is given with detailed solution.

Algebra for JEE

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Author :
Publisher :
ISBN 13 : 9788178063386
Total Pages : 245 pages
Book Rating : 4.0/5 (633 download)

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Book Synopsis Algebra for JEE by :

Download or read book Algebra for JEE written by and published by . This book was released on 2013 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt:

41 Years (1978-2018) JEE Advanced (IIT-JEE) + 17 yrs JEE Main (2002-2018) Topic-wise Solved Paper Mathematics 14th Edition

Download 41 Years (1978-2018) JEE Advanced (IIT-JEE) + 17 yrs JEE Main (2002-2018) Topic-wise Solved Paper Mathematics 14th Edition PDF Online Free

Author :
Publisher : Disha Publications
ISBN 13 : 9388026098
Total Pages : 625 pages
Book Rating : 4.3/5 (88 download)

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Book Synopsis 41 Years (1978-2018) JEE Advanced (IIT-JEE) + 17 yrs JEE Main (2002-2018) Topic-wise Solved Paper Mathematics 14th Edition by : Mamta Batra

Download or read book 41 Years (1978-2018) JEE Advanced (IIT-JEE) + 17 yrs JEE Main (2002-2018) Topic-wise Solved Paper Mathematics 14th Edition written by Mamta Batra and published by Disha Publications. This book was released on with total page 625 pages. Available in PDF, EPUB and Kindle. Book excerpt: • The book “41 Years IIT-JEE Advanced + 17 yrs JEE Main/ AIEEE Topic-wise Solved Paper MATHEMATICS” is the first integrated book, which contains topic-wise collection of past JEE Advanced (including 1978-2012 IIT-JEE & 2013-18 JEE Advanced) questions from 1978 to 2018 and past JEE Main (including 2002-2012 AIEEE & 2013-18 JEE Main) questions from 2002 to 2018. • The book is divided into 22 chapters. The flow of chapters has been aligned as per the NCERT books. • Each chapter divides the questions into 9 categories (as per the NEW IIT pattern) - Fill in the Blanks, True/False, MCQ 1 correct, MCQ more than 1 correct, Passage Based, Assertion-Reason, Multiple Matching, Integer Answer and Subjective Questions. • All the Screening and Mains papers of IIT-JEE have been incorporated in the book. • Detailed solution of each and every question has been provided for 100% conceptual clarity of the student. Well elaborated detailed solutions with user friendly language provided at the end of each chapter. • Solutions have been given with enough diagrams, proper reasoning to bring conceptual clarity. • The students are advised to attempt questions of a topic immediately after they complete a topic in their class/school/home. The book contains around 3280+ MILESTONE PROBLEMS IN Mathematics.

Fundamentals of Mathematics for JEE MAINS and Advanced, 1e

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Author :
Publisher : Pearson Education India
ISBN 13 : 9332540535
Total Pages : 705 pages
Book Rating : 4.3/5 (325 download)

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Book Synopsis Fundamentals of Mathematics for JEE MAINS and Advanced, 1e by : Sanjay Mishra

Download or read book Fundamentals of Mathematics for JEE MAINS and Advanced, 1e written by Sanjay Mishra and published by Pearson Education India. This book was released on 2014 with total page 705 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of Mathematics is a series of 7 books, which are designed to provide comprehensive study material on a specific area in mathematics. It is an ideal companion for students who would like to master a particular subject area based on their individual requirements. All books in this series provide extensive coverage of the topics supported by numerous solved examples. The concepts are explained in a meticulously manner with ample illustrations and practice exercises (with answers). Overall these books enables quick learning and aids thorough preparation to crack the various engineering entrance examinations.

Mathematics for JEE (Mains & Advanced)

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Author :
Publisher : Notion Press
ISBN 13 : 1684663784
Total Pages : 466 pages
Book Rating : 4.6/5 (846 download)

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Book Synopsis Mathematics for JEE (Mains & Advanced) by : A S Jadon

Download or read book Mathematics for JEE (Mains & Advanced) written by A S Jadon and published by Notion Press. This book was released on 2019-03-14 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book Mathematics for JEE (Mains & Advanced) is my gift to the aspirants of IIT jee who will surely be benefited by the methodology of this book along with the numerous questions given in every chapter, which are carefully picked from different question papers of various examinations. The solution of every question has a detailed explanation for easy understanding; all the latest questions have been incorporated to help the students know the latest pattern of the questions being asked in exams. In nutshell, I might want to state that this book is an endeavour to fill the craving to turn into an IITian. This book covers target questions alongside point by point solution. Practice sets based on the pattern of examination. Subjective questions with the best representation.

Skills in Mathematics - Integral Calculus for JEE Main and Advanced

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Author :
Publisher : Arihant Publications India limited
ISBN 13 : 932529866X
Total Pages : 308 pages
Book Rating : 4.3/5 (252 download)

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Book Synopsis Skills in Mathematics - Integral Calculus for JEE Main and Advanced by : Amit M Agarwal

Download or read book Skills in Mathematics - Integral Calculus for JEE Main and Advanced written by Amit M Agarwal and published by Arihant Publications India limited. This book was released on 2021-04-19 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. Skill in Mathematics’ series is prepared for JEE Main and Advanced papers 2. It is a highly recommended textbook to develop a strong grounding in Integral Calculus 3. The book covers the entire syllabus into 4 chapters 4. Each chapter includes a wide range of questions that are asked in the examinations Good foundational grip is required in the Integral Calculus, while you are preparing for JEE Mains & Advanced or any other engineering. Bringing up the series “Skills in Mathematics for JEE Main & Advanced for Integral Calculus” that is carefully revised with the sessionwise theory and exercise; to help candidates to learn & tackle the mathematical problems. The book has 4 Chapters covering the whole syllabus for the JEE Mains and Advanced as prescribed. Each chapter is divided into sessions giving complete clarity to concepts. Apart from sessionwise theory, JEE Type examples and Chapter Exercise contain huge amount of questions that are provided in every chapter under Practice Part. Prepared under great expertise, it is a highly recommended textbook to develop a strong grounding in Algebra to perform best in JEE and various engineering entrances. TOC: Indefinite Integrals, Definite Integrals, Areas of Bounded Regions, Differential Equations.