Skills in Mathematics - Play with Graphs for JEE Main and Advanced

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Publisher : Arihant Publications India limited
ISBN 13 : 9325298694
Total Pages : pages
Book Rating : 4.3/5 (252 download)

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Book Synopsis Skills in Mathematics - Play with Graphs for JEE Main and Advanced by : Amit M Agarwal

Download or read book Skills in Mathematics - Play with Graphs for JEE Main and Advanced written by Amit M Agarwal and published by Arihant Publications India limited. This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Skills in Mathematics - Play with Graphs for JEE Main and Advanced

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Publisher : Arihant Publications India limited
ISBN 13 : 9326191664
Total Pages : 189 pages
Book Rating : 4.3/5 (261 download)

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Book Synopsis Skills in Mathematics - Play with Graphs for JEE Main and Advanced by : Amit M. Agarwal

Download or read book Skills in Mathematics - Play with Graphs for JEE Main and Advanced written by Amit M. Agarwal and published by Arihant Publications India limited. This book was released on 2022-05-14 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. ‘Skill in Mathematics’ series is prepared for JEE Main and Advanced papers 2. Highly recommended textbook in Play with Graphs 3. The book covers the entire syllabus into 3 chapters 4. Each chapter includes a wide range of questions 5. Hints and Solutions are given in an easy and understanding language Arihant’s “Skills in Mathematics for JEE Main & Advanced series” is a highly recommended textbook series that is prepared with an engaging and easily understandable approach to help aspirants learn to tackle the mathematical problem in a Section wise format. A good foundational grip is required in the Graphs, while you are preparing for JEE Mains & Advanced or any other engineering entrance exams. Presenting, the revised edition of ‘Skills in Mathematics JEE Mains & Advanced for Play with Graphs’; which has been carefully curated in section-wise theory & exercise. Giving the complete coverage of the syllabus, the book has been divided into 3 chapters where each chapter is further divided into sections to accommodate all the changes made in JEE Syllabus & Pattern in recent years. Besides focusing on theory, this book has a good number of questions which are asked in previous years in JEE Types Questions and Chapter Exercise under Practice Part. Crafted with the author’s great passion, it develops a strong grounding in Play with Graphs to perform best in JEE and various other engineering entrances. Table of Contents Introduction to Graphs, Curvature and Transformations, Asymptotes, Singular Points and Curve tracing, Hints and Solutions

Skills In Mathematics Play With Graphs

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Publisher :
ISBN 13 : 9788188222230
Total Pages : 184 pages
Book Rating : 4.2/5 (222 download)

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Book Synopsis Skills In Mathematics Play With Graphs by : Amit M. Agarwal

Download or read book Skills In Mathematics Play With Graphs written by Amit M. Agarwal and published by . This book was released on with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Skills in Mathematics - Differential Calculus for JEE Main and Advanced

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Publisher : Arihant Publications India limited
ISBN 13 : 9325298651
Total Pages : 550 pages
Book Rating : 4.3/5 (252 download)

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

Download or read book Skills in Mathematics - Differential 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 550 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 Differential Calculus 3. The book covers the entire syllabus into 8 chapters 4. Each chapter includes a wide range of questions that are asked in the examinations Good foundational grip is required in the Differential 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 Differential Calculus” that is carefully revised with the sessionwise theory and exercise; to help candidates to learn & tackle the mathematical problems. The book has 8 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: Essential Mathematical Tools, Differentiation, Functions, Graphical Transformations, Limits, Continuity and Differentiability, dy/dx As a Rate Measurer & Tangents, Normals, Monotonicity, Maxima and Minima.

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.

Skill in Mathematics - Algebra for JEE Main and Advanced

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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.

Skills in Mathematics - Vectors and 3D Geometry for JEE Main and Advanced

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Publisher : Arihant Publications India limited
ISBN 13 : 9325298686
Total Pages : 282 pages
Book Rating : 4.3/5 (252 download)

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Book Synopsis Skills in Mathematics - Vectors and 3D Geometry for JEE Main and Advanced by : Amit M Agarwal

Download or read book Skills in Mathematics - Vectors and 3D Geometry 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 282 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 Vectors and 3D Geometry 3. The book covers the entire syllabus into 3 chapters 4. Each chapter includes a wide range of questions that are asked in the examinations Good foundational grip is required in the Vectors and 3D 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 Vectors and 3D Geometry” that is carefully revised with the sessionwise theory and exercise; to help candidates to learn & tackle the mathematical problems. The book has 3 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: Vector Algebra, Product of Vectors, Three Dimensional Coordinate System.

Advanced Calculus

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Publisher : World Scientific Publishing Company
ISBN 13 : 9814583952
Total Pages : 596 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Advanced Calculus by : Lynn Harold Loomis

Download or read book Advanced Calculus written by Lynn Harold Loomis and published by World Scientific Publishing Company. This book was released on 2014-02-26 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades. This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis. The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives. In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.

Graphs Theory and Applications

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Publisher : John Wiley & Sons
ISBN 13 : 1118623096
Total Pages : 282 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Graphs Theory and Applications by : Jean-Claude Fournier

Download or read book Graphs Theory and Applications written by Jean-Claude Fournier and published by John Wiley & Sons. This book was released on 2013-05-06 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive and pedagogical introduction to graph theory and its applications. It contains all the standard basic material and develops significant topics and applications, such as: colorings and the timetabling problem, matchings and the optimal assignment problem, and Hamiltonian cycles and the travelling salesman problem, to name but a few. Exercises at various levels are given at the end of each chapter, and a final chapter presents a few general problems with hints for solutions, thus providing the reader with the opportunity to test and refine their knowledge on the subject. An appendix outlines the basis of computational complexity theory, in particular the definition of NP-completeness, which is essential for algorithmic applications.

The Art and Craft of Problem Solving

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Publisher : John Wiley & Sons
ISBN 13 : 1119239907
Total Pages : 389 pages
Book Rating : 4.1/5 (192 download)

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Book Synopsis The Art and Craft of Problem Solving by : Paul Zeitz

Download or read book The Art and Craft of Problem Solving written by Paul Zeitz and published by John Wiley & Sons. This book was released on 2017 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text on mathematical problem solving provides a comprehensive outline of "problemsolving-ology," concentrating on strategy and tactics. It discusses a number of standard mathematical subjects such as combinatorics and calculus from a problem solver's perspective.

Objective Mathematics Vol 1 For Engineering Entrances

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Publisher : Arihant Publications India limited
ISBN 13 : 9326193330
Total Pages : 516 pages
Book Rating : 4.3/5 (261 download)

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Book Synopsis Objective Mathematics Vol 1 For Engineering Entrances by : Amit M Agarwal

Download or read book Objective Mathematics Vol 1 For Engineering Entrances written by Amit M Agarwal and published by Arihant Publications India limited. This book was released on 2022-03-31 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: All-in-One हिंदी ऐच्छिक कक्षा 12 विशेष रूप से उन विद्यार्थियों के लिए तैयार की गई है जो CBSE नवीन पाठ्यक्रम के अनुसार कक्षा 12 में अध्ययनरत हैं | अनुभवी शिक्षक व् परीक्षक द्वारा लिखी गयी इस पुस्तक में वह सामग्री दी गयी है जो विद्यार्थियों के सभी प्रश्नो को हल करने में समर्थ है व अन्ततः परीक्षा में उन्हे सम्पूर्ण सफलता दिलाने में सहायक होगी | पाठ्यक्रम के अनुसार, इस पुस्तक में सभी खण्डों; अपठित बोध, कार्यालयी हिन्दी एवं रचनात्मक लेखन तथा पाठ्यपुस्तक (अंतरा भाग-2) व् पूरक पाठ्यपुस्तक (अंतराल भाग-2) से संबंधित पाठ्य सामग्री दी गई है | प्रत्येक खंड केआरम्भ में संबंधित अध्याय का सम्पूर्ण परिचय, साघित उदाहरण, अभ्यास के लिए प्रश्न दिए गए हैं तथा पाठ्यपुस्तक में दिए गए सभी प्रश्नों के उत्तर दिए गए हैं | पाठ्य सामग्री के अध्ययन के साथ-साथ विद्यार्थियों को अभ्यास कराने के लिए भी पुस्तक में उचित सामग्री उपलब्ध है | परीक्षा के सम्पूर्ण अभ्यास के लिए पुस्तक के अंत में 3 प्रतिदर्श प्रश्न-पत्र दिए गए हैं | ये सभी प्रश्न-पत्र CBSE के सम्पूर्ण नवीन पाठ्यक्रम पर आधारित है | हम इस बात को लेकर पूरी तरह आश्वस्त हैं की यह पुस्तक अपने नाम के अनुरूप ही अपने आप में सम्पूर्ण पुस्तक है | यह निश्चित रूप से आपको परीक्षाओं में उच्च श्रेणी दिलाने में सफल होगी | विषय सूची अपठित बोध, कार्यालयी हिन्दी एवं रचनात्मक लेखन तथा खंड 'ग'- पाठ्यपुस्तक (अंतरा भाग-2) व् पूरक पाठ्यपुस्तक (अंतराल भाग-2)- गद्य भाग, पद्य भाग, पूरक पुस्तक, 3 प्रतिदर्श प्रश्न-पत्र, नवीनतम CBSE सैंपल पेपर, नवीनतम CBSE सैंपल पेपर(Term I), नवीनतम CBSE सैंपल पेपर (Term II), बोर्ड प्रश्न-पत्र 2021-22 (Term I)

Advanced Problems in Mathematics

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ISBN 13 : 9781783747764
Total Pages : 188 pages
Book Rating : 4.7/5 (477 download)

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Book Synopsis Advanced Problems in Mathematics by : Stephen Siklos

Download or read book Advanced Problems in Mathematics written by Stephen Siklos and published by . This book was released on 2019-10-16 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new and expanded edition is intended to help candidates prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Paper). STEP is an examination used by Cambridge Colleges for conditional offers in mathematics. They are also used by some other UK universities and many mathematics departments recommend that their applicants practice on the past papers even if they do not take the examination. Advanced Problems in Mathematics bridges the gap between school and university mathematics, and prepares students for an undergraduate mathematics course. The questions analysed in this book are all based on past STEP questions and each question is followed by a comment and a full solution. The comments direct the reader's attention to key points and put the question in its true mathematical context. The solutions point students to the methodology required to address advanced mathematical problems critically and independently. This book is a must read for any student wishing to apply to scientific subjects at university level and for anyone interested in advanced mathematics.

Putnam and Beyond

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Publisher : Springer
ISBN 13 : 3319589881
Total Pages : 857 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Putnam and Beyond by : Răzvan Gelca

Download or read book Putnam and Beyond written by Răzvan Gelca and published by Springer. This book was released on 2017-09-19 with total page 857 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real analysis, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability. Preliminary material provides an overview of common methods of proof: argument by contradiction, mathematical induction, pigeonhole principle, ordered sets, and invariants. Each chapter systematically presents a single subject within which problems are clustered in each section according to the specific topic. The exposition is driven by nearly 1300 problems and examples chosen from numerous sources from around the world; many original contributions come from the authors. The source, author, and historical background are cited whenever possible. Complete solutions to all problems are given at the end of the book. This second edition includes new sections on quad ratic polynomials, curves in the plane, quadratic fields, combinatorics of numbers, and graph theory, and added problems or theoretical expansion of sections on polynomials, matrices, abstract algebra, limits of sequences and functions, derivatives and their applications, Stokes' theorem, analytical geometry, combinatorial geometry, and counting strategies. Using the W.L. Putnam Mathematical Competition for undergraduates as an inspiring symbol to build an appropriate math background for graduate studies in pure or applied mathematics, the reader is eased into transitioning from problem-solving at the high school level to the university and beyond, that is, to mathematical research. This work may be used as a study guide for the Putnam exam, as a text for many different problem-solving courses, and as a source of problems for standard courses in undergraduate mathematics. Putnam and Beyond is organized for independent study by undergraduate and gradu ate students, as well as teachers and researchers in the physical sciences who wish to expand their mathematical horizons.

43 Years Chapterwise Topicwise Solved Papers (2021-1979) IIT JEE Mathematics

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Publisher : Arihant Publications India limited
ISBN 13 : 9325796139
Total Pages : pages
Book Rating : 4.3/5 (257 download)

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Book Synopsis 43 Years Chapterwise Topicwise Solved Papers (2021-1979) IIT JEE Mathematics by : Amit M Agarwal

Download or read book 43 Years Chapterwise Topicwise Solved Papers (2021-1979) IIT JEE Mathematics written by Amit M Agarwal and published by Arihant Publications India limited. This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Proofs from THE BOOK

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Publisher : Springer Science & Business Media
ISBN 13 : 3662223430
Total Pages : 194 pages
Book Rating : 4.6/5 (622 download)

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Book Synopsis Proofs from THE BOOK by : Martin Aigner

Download or read book Proofs from THE BOOK written by Martin Aigner and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: According to the great mathematician Paul Erdös, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "perfect proofs," those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, analysis, combinatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics.

Skills in Mathematics - Integral Calculus for JEE Main and Advanced

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Publisher : Arihant Publications India limited
ISBN 13 : 932619163X
Total Pages : 337 pages
Book Rating : 4.3/5 (261 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 2022-05-14 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. ‘Skill in Mathematics’ series is prepared for JEE Main and Advanced papers 2. highly recommended textbook in Integral Calculus 3. The book covers the entire syllabus into 4 chapters 4. Each chapter includes a wide range of questions Arihant’s “Skills in Mathematics for JEE Main & Advanced series” is a highly recommended textbook series that is prepared with an engaging and easily understandable approach to help aspirants learn to tackle the mathematical problem in a Section wise format. A good foundational grip is required in the Integral Calculus, while you are preparing for JEE Mains & Advanced or any other engineering entrance exams. Presenting, the revised edition of ‘Skills in Mathematics JEE Mains & Advanced for Integral Calculus’; which has been carefully curated in section-wise theory & exercise. Giving the complete coverage of the syllabus, the book has been divided into 4 chapters where each chapter is further divided into sections to accommodate all the changes made in JEE Syllabus & Pattern in recent years. Besides focusing on theory, this book has a good number of questions which are asked in previous years in JEE Types Questions and Chapter Exercise under Practice Part. Crafted with the author’s great passion, it develops a strong grounding in Integral Calculus to perform best in JEE and various other engineering entrances. Table of Contents Indefinite Integral, Definite Integral, Area of Bounded Regions, Differential Equations, JEE Main & Advanced Questions [2021-18]

Master Resource Book in Mathematics for JEE Main 2022

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Publisher : Arihant Publications India limited
ISBN 13 : 9325792265
Total Pages : 1032 pages
Book Rating : 4.3/5 (257 download)

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Book Synopsis Master Resource Book in Mathematics for JEE Main 2022 by : Prafful K Agarwal

Download or read book Master Resource Book in Mathematics for JEE Main 2022 written by Prafful K Agarwal and published by Arihant Publications India limited. This book was released on 2021-08-26 with total page 1032 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. The ‘Master Resource book’ gives complete coverage of Mathematics 2. Questions are specially prepared for AIEEE & JEE main exams 3. The book is divided into 2 parts; consisting 35 chapters from JEE Mains 4. Each chapter is accessorized with 2 Level Exercises and Exam Questions 5. Includes highly useful JEE Main Solved papers Comprehensively covering all topics of JEE Main Syllabus, here’s presenting the revised edition of “Master Resource Book for JEE Main Mathematics” that is comprised for a systematic mastery of a subject with paramount importance to a problem solving. Sequenced as per the syllabus of class 11th & 12th, this book has been divided into two parts accordingly. Each chapter is contains essential theoretical concepts along with sufficient number of solved paper examples and problems for practice. To get the insight of the difficulty level of the paper, every chapter is provided with previous years’ question of AIEEE & JEE. Single Correct Answer Types and Numerical Value Questions cover all types of questions. TOC PART I - Class 11th: Sets, Fundamentals and Relations and Functions, Sequences and Series, Complex Numbers, Quadratic Equations, Permutation and Combinations, Mathematical Inductions, Binomial Theorem and its Applications, Trigonometrical Function and Equations, Properties of Triangles, Heights and Distances, Cartesian Coordinate system, Straight Lines, Circles, Parabola, Ellipse, Hyperbola, Introduction to 3 Dimensional Geometry, Limits and Derivatives, Mathematical Reasoning, Statistics, Fundamentals of Probability, Part II: Class 12th – Matrices, Determinants, Relations and Functions, Continuity and Differentiability, Differentiation, Applications of Derivations, Indefinitive Integration, Area Bound by Curves, Differential Equations, Vector Algebra, Three Dimensional Geometry, Advanced Probability.