| class 12 maths vectors: CBSE MATHEMATICS : FOR CLASS XII - PART II DINESH KHATTAR, ANITA KHATTAR, 2008-08-19 In continuation to CBSE Mathematics For Class XII (Part 1), Part 2 is also thoroughly revised and updated as per the new CBSE course structure and NCERT guidelines. The subject matter of this book is presented in a very systematic and logical manner. Every effort has been made to make the contents as lucid as possible so that the beginners will grasp the fundamental concepts in an unambiguous manner. KEY FEATURES Large number of solved examples to understand the subject. Categorization of problems under: Level of Difficulty A (Cover the needs of the students preparing for CBSE exams) Level of Difficulty B (Guide the students for engineering entrance examinations). A Smart Table at the beginning of each chapter to decide the relative importance of topics in the CBSE exam. Problem Solving Trick(s) to enhance the problem solving skills. A list of Important Formulae at the beginning of the book. Besides this, each chapter is followed by a Chapter Test and an exercise in which the questions from the CBSE papers of previous years are provided. Working hints to a large number of problems are given at the end of each and every exercise. In a nut shell, this book will help the students score high marks in CBSE, and at the same time build a strong foundation for success in any competitive examination. |
| class 12 maths vectors: Class 12 Ncert Math Solutions (Part 2) , |
| class 12 maths vectors: Lectures on Quaternions Sir William Rowan Hamilton, 1853 |
| class 12 maths vectors: About Vectors Banesh Hoffmann, 1975-01-01 From his unusual beginning in Defining a vector to his final comments on What then is a vector? author Banesh Hoffmann has written a book that is provocative and unconventional. In his emphasis on the unresolved issue of defining a vector, Hoffmann mixes pure and applied mathematics without using calculus. The result is a treatment that can serve as a supplement and corrective to textbooks, as well as collateral reading in all courses that deal with vectors. Major topics include vectors and the parallelogram law; algebraic notation and basic ideas; vector algebra; scalars and scalar products; vector products and quotients of vectors; and tensors. The author writes with a fresh, challenging style, making all complex concepts readily understandable. Nearly 400 exercises appear throughout the text. Professor of Mathematics at Queens College at the City University of New York, Banesh Hoffmann is also the author of The Strange Story of the Quantum and other important books. This volume provides much that is new for both students and their instructors, and it will certainly generate debate and discussion in the classroom. |
| class 12 maths vectors: A Vector Space Approach to Geometry Melvin Hausner, 2018-10-17 A fascinating exploration of the correlation between geometry and linear algebra, this text also offers elementary explanations of the role of geometry in other branches of math and science. 1965 edition. |
| class 12 maths vectors: Vector Geometry Gilbert de B. Robinson, 2013-10-10 Concise undergraduate-level text by a prominent mathematician explores the relationship between algebra and geometry. An elementary course in plane geometry is the sole requirement. Includes answers to exercises. 1962 edition. |
| class 12 maths vectors: 36 Sample Question Papers Science Stream (PCB): CBSE Class 12 for Term-I November 2021 Examination Oswal - Gurukul, 2021-10-04 |
| class 12 maths vectors: CBSE Class 12th Maths (10 Most likely Question Papers with Solution) By Career Point Kota Career Point Kota, 2020-07-28 The CBSE has made certain changes in the assessment structure from the session 2019-20 onwards. In the new scheme of examination, CCE and term system has been replaced with the Internal Assessment & Single Annual Exam by CBSE itself. Single exam conducted by CBSE will carry 80 marks whereas 20 marks are left to the schools for internal assessment. CBSE has issued detailed guidelines on how the internal marks will be divided among different activities. From 2019 onwards, there will be internal choices in board examinations with increased internal options in the question paper. Considering this change, now a student has to prepare accordingly for board examinations. The new assessment format brought with it excitement as well as anxiety. And to help them prepare and excel in their CBSE board examination, Career Point Kota has developed a series of 10 Most Likely Question Papers with Solutions. The Key Features of Most Likely Question Papers with Solutions Series : New OBJECTIVE TYPE question in each paper. Syllabus of CBSE 2019-20. Based on the latest CBSE Syllabus & Pattern. Mind map of each chapter is given to visualize and help acquire a better understanding. Important terms, facts, formulae and quick revision tips are given. Covers questions asked in previous year board exams. Toppers Answer Sheet as released by CBSE to understand the scoring technique. We hope this book will gratify students’ need for the new CBSE pattern board exam and smoothen their path to success. We wish to utilize the opportunity to place on record our special thanks to all the members of the Content Development team for their efforts to create this wonderful book. |
| class 12 maths vectors: Course In Mathematics For The Iit-Jee And Other Engineering Entrance Examinations: Vector And 3-D Geometry Choubey K. R., 2011-09 |
| class 12 maths vectors: A First Course in Linear Algebra Kenneth Kuttler, Ilijas Farah, 2020 A First Course in Linear Algebra, originally by K. Kuttler, has been redesigned by the Lyryx editorial team as a first course for the general students who have an understanding of basic high school algebra and intend to be users of linear algebra methods in their profession, from business & economics to science students. All major topics of linear algebra are available in detail, as well as justifications of important results. In addition, connections to topics covered in advanced courses are introduced. The textbook is designed in a modular fashion to maximize flexibility and facilitate adaptation to a given course outline and student profile. Each chapter begins with a list of student learning outcomes, and examples and diagrams are given throughout the text to reinforce ideas and provide guidance on how to approach various problems. Suggested exercises are included at the end of each section, with selected answers at the end of the textbook.--BCcampus website. |
| class 12 maths vectors: Last 5+1 Year's CBSE Class 12th Mathematics Solved Question Papers - eBook JagranJosh, 2017-11-22 This Combo Package, prepared by CBSE Exam experts at Jagranjosh.com, is a kind of must have for the students appearing for Class12th Mathematics Paper in the coming CBSE Board 2018 Exam. 1. This Combo Package includes: • CBSE Class 12 Mathematics Solved Question Paper 2017 • CBSE Class 12 Mathematics Solved Question Paper 2016 (Set-3) • CBSE Class 12 Mathematics Solved Question Paper 2015 (Set-2) • CBSE Class 12 Mathematics Solved Question Paper 2014 (Set-1) • CBSE Class 12 Mathematics Solved Question Paper 2013 (Set-3) • CBSE Class 12 Mathematics Solved Question Paper 2012 (Set-3) 2. The Package strictly follows the pattern of CBSE Class 12th Syllabus. 3. It also contains the detailed explanation for each question solved. 4. It will help you strengthen the concepts at class 12th level. 5. This Package will surely Build your confidence to score excellent marks in following Board Exam Paper. Key Feature Free Class 12th Mathematics 2012 Solved Paper ebook Ideal to understand the exam pattern Will give a clear idea of how to study and what to study for the exam |
| class 12 maths vectors: Advanced Calculus (Revised Edition) Lynn Harold Loomis, Shlomo Zvi Sternberg, 2014-02-26 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. |
| class 12 maths vectors: Calculus of Several Variables Serge Lang, 2012-12-06 This new, revised edition covers all of the basic topics in calculus of several variables, including vectors, curves, functions of several variables, gradient, tangent plane, maxima and minima, potential functions, curve integrals, Green’s theorem, multiple integrals, surface integrals, Stokes’ theorem, and the inverse mapping theorem and its consequences. It includes many completely worked-out problems. |
| class 12 maths vectors: Elements of Vector Analysis Josiah Willard Gibbs, 1884 |
| class 12 maths vectors: Vector Algebra and Calculus Hari Kishan, 2007-05-19 The Present Book Aims At Providing A Detailed Account Of The Basic Concepts Of Vectors That Are Needed To Build A Strong Foundation For A Student Pursuing Career In Mathematics. These Concepts Include Addition And Multiplication Of Vectors By Scalars, Centroid, Vector Equations Of A Line And A Plane And Their Application In Geometry And Mechanics, Scalar And Vector Product Of Two Vectors, Differential And Integration Of Vectors, Differential Operators, Line Integrals, And Gauss S And Stoke S Theorems.It Is Primarily Designed For B.Sc And B.A. Courses, Elucidating All The Fundamental Concepts In A Manner That Leaves No Scope For Illusion Or Confusion. The Numerous High-Graded Solved Examples Provided In The Book Have Been Mainly Taken From The Authoritative Textbooks And Question Papers Of Various University And Competitive Examinations Which Will Facilitate Easy Understanding Of The Various Skills Necessary In Solving The Problems. In Addition, These Examples Will Acquaint The Readers With The Type Of Questions Usually Set At The Examinations. Furthermore, Practice Exercises Of Multiple Varieties Have Also Been Given, Believing That They Will Help In Quick Revision And In Gaining Confidence In The Understanding Of The Subject. Answers To These Questions Have Been Verified Thoroughly. It Is Hoped That A Thorough Study Of This Book Would Enable The Students Of Mathematics To Secure High Marks In The Examinations. Besides Students, The Teachers Of The Subject Would Also Find It Useful In Elucidating Concepts To The Students By Following A Number Of Possible Tracks Suggested In The Book. |
| class 12 maths vectors: Vectors, Pure and Applied T. W. Körner, 2013 Explains both the how and the why of linear algebra to get students thinking like mathematicians. |
| class 12 maths vectors: Geometry: A Comprehensive Course Dan Pedoe, 2013-04-02 Introduction to vector algebra in the plane; circles and coaxial systems; mappings of the Euclidean plane; similitudes, isometries, Moebius transformations, much more. Includes over 500 exercises. |
| class 12 maths vectors: A History of Vector Analysis Michael J. Crowe, 1994-01-01 Prize-winning study traces the rise of the vector concept from the discovery of complex numbers through the systems of hypercomplex numbers to the final acceptance around 1910 of the modern system of vector analysis. |
| class 12 maths vectors: Introduction to Linear and Matrix Algebra Nathaniel Johnston, 2021-05-19 This textbook emphasizes the interplay between algebra and geometry to motivate the study of linear algebra. Matrices and linear transformations are presented as two sides of the same coin, with their connection motivating inquiry throughout the book. By focusing on this interface, the author offers a conceptual appreciation of the mathematics that is at the heart of further theory and applications. Those continuing to a second course in linear algebra will appreciate the companion volume Advanced Linear and Matrix Algebra. Starting with an introduction to vectors, matrices, and linear transformations, the book focuses on building a geometric intuition of what these tools represent. Linear systems offer a powerful application of the ideas seen so far, and lead onto the introduction of subspaces, linear independence, bases, and rank. Investigation then focuses on the algebraic properties of matrices that illuminate the geometry of the linear transformations that they represent. Determinants, eigenvalues, and eigenvectors all benefit from this geometric viewpoint. Throughout, “Extra Topic” sections augment the core content with a wide range of ideas and applications, from linear programming, to power iteration and linear recurrence relations. Exercises of all levels accompany each section, including many designed to be tackled using computer software. Introduction to Linear and Matrix Algebra is ideal for an introductory proof-based linear algebra course. The engaging color presentation and frequent marginal notes showcase the author’s visual approach. Students are assumed to have completed one or two university-level mathematics courses, though calculus is not an explicit requirement. Instructors will appreciate the ample opportunities to choose topics that align with the needs of each classroom, and the online homework sets that are available through WeBWorK. |
| class 12 maths vectors: APEX Calculus Gregory Hartman, 2015 APEX Calculus is a calculus textbook written for traditional college/university calculus courses. It has the look and feel of the calculus book you likely use right now (Stewart, Thomas & Finney, etc.). The explanations of new concepts is clear, written for someone who does not yet know calculus. Each section ends with an exercise set with ample problems to practice & test skills (odd answers are in the back). |
| class 12 maths vectors: Basic Insights In Vector Calculus: With A Supplement On Mathematical Understanding Terrance J Quinn, Zine Boudhraa, Sanjay Rai, 2020-07-24 Basic Insights in Vector Calculus provides an introduction to three famous theorems of vector calculus, Green's theorem, Stokes' theorem and the divergence theorem (also known as Gauss's theorem). Material is presented so that results emerge in a natural way. As in classical physics, we begin with descriptions of flows.The book will be helpful for undergraduates in Science, Technology, Engineering and Mathematics, in programs that require vector calculus. At the same time, it also provides some of the mathematical background essential for more advanced contexts which include, for instance, the physics and engineering of continuous media and fields, axiomatically rigorous vector analysis, and the mathematical theory of differential forms.There is a Supplement on mathematical understanding. The approach invites one to advert to one's own experience in mathematics and, that way, identify elements of understanding that emerge in all levels of learning and teaching.Prerequisites are competence in single-variable calculus. Some familiarity with partial derivatives and the multi-variable chain rule would be helpful. But for the convenience of the reader we review essentials of single- and multi-variable calculus needed for the three main theorems of vector calculus.Carefully developed Problems and Exercises are included, for many of which guidance or hints are provided. |
| class 12 maths vectors: Student Solution Manual to Accompany the 4th Edition of Vector Calculus, Linear Algebra, and Differential Forms, a Unified Approach John Hamal Hubbard, Barbara Burke Hubbard, 2009 |
| class 12 maths vectors: Oswaal CBSE Class 12th 20 Combined Sample Question Papers Science Stream PCM (Physics, Chemistry, Maths, English Core) and 10 Previous Years' Solved Papers Yearwise (2013-2023) (Set of 2 Books) For 2024 Board Exams Oswaal Editorial Board, 2023-10-28 Description of the Product: • Comprehensive Coverage: Covers all Major subjects • Concise & Crisp with Mind Maps & Revision Notes • Curriculum Alignment 4/5 sets of Sample Papers to stimulate exam pattern & format • 100% Updated: with the Latest CBSE Board Paper 2023 • Valuable Exam Insights: with Out-of-Syllabus Questions highlighted • 100% Exam readiness: with Commonly Made Errors and Answering Tips • Concept Clarity: with Topper’s and Board Marking Scheme Answers |
| class 12 maths vectors: Oswaal ISC 10 Sample Question Papers Class 12 (Set of 5 Books) Physics, Chemistry, Maths, English Paper 1 & 2 For 2025 Board Exam (Based On The Latest CISCE/ICSE Specimen Paper) Oswaal Editorial Board, 2024-09-09 Description of the product: Fresh & Relevant with the Latest ICSE Specimen Paper 2025 Score Boosting Insights with 450 Questions & 250 Concepts (approx.) Insider Tips & Techniques with On Tips Notes, Mind Maps & Mnemonics Exam Ready Practice with 5 Solved & 5 Self-Assessment Papers (with Hints) Online Courses with Oswaal 360 Courses and sample Papers to enrich the learning journey further Strictly as per the Latest Syllabus & Specimen Paper 2025 Issued by CISCE Includes Competency Focused questions based on Bloom’s Taxonomy (Create, Evaluate, Analyse, Apply, Understand and Remember) Official Marking Scheme Decoded |
| class 12 maths vectors: APC CBSE Mathematics - Class 12 - Avichal Publishing Company - Hints and Solutions M.L. Aggarwal, CBSE Mathematics, for class 12, has been written by Mr. M.L. Aggarwal (Former Head of P.G. Department of Mathematics, D.A.V. College, Jalandhar) strictly according to the latest syllabus prescribed by the CBSE, New Delhi and COBSE, New Delhi for students taking class 12 examination in the year 2015 and thereafter. The book has been thoroughly revised and a new feature - Typical Illustrative Examples and Typical Problems, has been added in some chapters for those students who want to attempt some more challenging problems. The question of NCERT Examplar Problems have also been included. Value Based Questions have also been added at the appropriate places. The book provides Hints & Solutions for the exercises of each chapter, at the end of the corresponding chapter. |
| class 12 maths vectors: Groups, Matrices, and Vector Spaces James B. Carrell, 2017-09-02 This unique text provides a geometric approach to group theory and linear algebra, bringing to light the interesting ways in which these subjects interact. Requiring few prerequisites beyond understanding the notion of a proof, the text aims to give students a strong foundation in both geometry and algebra. Starting with preliminaries (relations, elementary combinatorics, and induction), the book then proceeds to the core topics: the elements of the theory of groups and fields (Lagrange's Theorem, cosets, the complex numbers and the prime fields), matrix theory and matrix groups, determinants, vector spaces, linear mappings, eigentheory and diagonalization, Jordan decomposition and normal form, normal matrices, and quadratic forms. The final two chapters consist of a more intensive look at group theory, emphasizing orbit stabilizer methods, and an introduction to linear algebraic groups, which enriches the notion of a matrix group. Applications involving symm etry groups, determinants, linear coding theory and cryptography are interwoven throughout. Each section ends with ample practice problems assisting the reader to better understand the material. Some of the applications are illustrated in the chapter appendices. The author's unique melding of topics evolved from a two semester course that he taught at the University of British Columbia consisting of an undergraduate honors course on abstract linear algebra and a similar course on the theory of groups. The combined content from both makes this rare text ideal for a year-long course, covering more material than most linear algebra texts. It is also optimal for independent study and as a supplementary text for various professional applications. Advanced undergraduate or graduate students in mathematics, physics, computer science and engineering will find this book both useful and enjoyable. |
| class 12 maths vectors: Oswaal CBSE LMP Last Minute Preparation System and 20 Combined Sample Question Papers Class 12 Science Stream (Physics, Chemistry, Maths, Biology, English Core) (Set of 2 Books) With Board Additional Practice Questions For 2024 Board Exams #WinTheBoards Oswaal Editorial Board, 2023-11-27 Description of the Product: ✍ Board Additional Practice Papers Set 1 & 2: Released on 8th September and 8th November 2023, these are your secret weapons for rigorous exam practice. ✍ Chapter-wise/Topic-wise Revision Notes: Bridge those learning gaps by recalling the most crucial topic details. ✍ Mind Maps and Mnemonics: Simplify complex concepts for crisp recall, visualize and memorize with ease. ✍ Concept Videos: Reinforce your understanding with visual aids one last time. ✍Comprehensive Coverage: Curated with all Major subjects. ✍Confidence Booster: 700+Questions for Targeted improvement. ✍Curriculum Alignment: 4/5 sets of Sample Papers to stimulate exam pattern & format. |
| class 12 maths vectors: Skills in Mathematics - Vectors and 3D Geometry for JEE Main and Advanced Amit M Agarwal, 2021-04-19 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. |
| class 12 maths vectors: A Textbook of Vector Analysis Shanti Narayan | PK Mittal, 2010 A Textbook of Vector Analysis |
| class 12 maths vectors: Mathematics for Machine Learning Marc Peter Deisenroth, A. Aldo Faisal, Cheng Soon Ong, 2020-04-23 The fundamental mathematical tools needed to understand machine learning include linear algebra, analytic geometry, matrix decompositions, vector calculus, optimization, probability and statistics. These topics are traditionally taught in disparate courses, making it hard for data science or computer science students, or professionals, to efficiently learn the mathematics. This self-contained textbook bridges the gap between mathematical and machine learning texts, introducing the mathematical concepts with a minimum of prerequisites. It uses these concepts to derive four central machine learning methods: linear regression, principal component analysis, Gaussian mixture models and support vector machines. For students and others with a mathematical background, these derivations provide a starting point to machine learning texts. For those learning the mathematics for the first time, the methods help build intuition and practical experience with applying mathematical concepts. Every chapter includes worked examples and exercises to test understanding. Programming tutorials are offered on the book's web site. |
| class 12 maths vectors: Educart CBSE Class 12 Sample Papers Bundle - Physics, Maths, Chemistry & English 2023-24 (Introducing Revision Maps and Past Year Papers) 2024 Educart, 2023-12-29 |
| class 12 maths vectors: Encyclopaedia of Mathematics Michiel Hazewinkel, 1988 V.1. A-B v.2. C v.3. D-Feynman Measure. v.4. Fibonaccimethod H v.5. Lituus v.6. Lobachevskii Criterion (for Convergence)-Optical Sigman-Algebra. v.7. Orbi t-Rayleigh Equation. v.8. Reaction-Diffusion Equation-Stirling Interpolation Fo rmula. v.9. Stochastic Approximation-Zygmund Class of Functions. v.10. Subject Index-Author Index. |
| class 12 maths vectors: Schaum's Outline of Vector Analysis, 2ed Seymour Lipschutz, Murray R. Spiegel, Dennis Spellman, 2009-05-04 The guide to vector analysis that helps students study faster, learn better, and get top grades More than 40 million students have trusted Schaum's to help them study faster, learn better, and get top grades. Now Schaum's is better than ever-with a new look, a new format with hundreds of practice problems, and completely updated information to conform to the latest developments in every field of study. Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores! Schaum's Outlines-Problem Solved. |
| class 12 maths vectors: Oswaal ISC 10 Previous Years' Solved Papers Class-12 Commerce | Year-Wise 2014-2024 | Accounts, Economics, Business studies, commerce, English 1, Maths, Hindi, Computer science For 2025 Board Exam Oswaal Editorial Board, 2024-05-15 Description of the product: •100 % Updated for 2024-25 with latest CISCE 2025 Syllabus •Valuable Exam Insights with Out of syllabus Questions highlighted •100% Exam Readiness with Board Marking Scheme Answers •Concept Clarity with Detailed Answers •Crisp Revision with Mind Maps & Revision Notes |
| class 12 maths vectors: Educart ISC 10 Years Solved Papers Class 12 for 2025 Science Stream - Physics, Chemistry, Maths, Biology, English Language & Literature, Computer Application, Physical Education and Hindi (Strictly Based on 2024-25 CISCE Syllabus) Educart, 2024-09-17 What You Get: 50% Competency-based Q’s Educart ISC 10 Years Solved Papers Class 12 for 2025 Science Stream - Physics, Chemistry, Maths, Biology, English Language & Literature, Computer Application, Physical Education and Hindi Strictly Based on 2024-25 CISCE SyllabusIncludes detailed explanations for objective-based questionsIncludes 10 years of subject-wise latest [pattern solved ISC papers].Caution points and related theory for concept clarity. Why choose this book? New sample papers help prepare as per the revised pattern on an increased percentage of analytical questions. |
| class 12 maths vectors: Comprehensive Mathematics XII , |
| class 12 maths vectors: Exercises And Problems In Linear Algebra John M Erdman, 2020-09-28 This book contains an extensive collection of exercises and problems that address relevant topics in linear algebra. Topics that the author finds missing or inadequately covered in most existing books are also included. The exercises will be both interesting and helpful to an average student. Some are fairly routine calculations, while others require serious thought.The format of the questions makes them suitable for teachers to use in quizzes and assigned homework. Some of the problems may provide excellent topics for presentation and discussions. Furthermore, answers are given for all odd-numbered exercises which will be extremely useful for self-directed learners. In each chapter, there is a short background section which includes important definitions and statements of theorems to provide context for the following exercises and problems. |
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| class 12 maths vectors: Differential Geometry of Complex Vector Bundles Shoshichi Kobayashi, 2014-07-14 Holomorphic vector bundles have become objects of interest not only to algebraic and differential geometers and complex analysts but also to low dimensional topologists and mathematical physicists working on gauge theory. This book, which grew out of the author's lectures and seminars in Berkeley and Japan, is written for researchers and graduate students in these various fields of mathematics. Originally published in 1987. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905. |
| class 12 maths vectors: Applied Engineering Analysis Tai-Ran Hsu, 2018-04-30 A resource book applying mathematics to solve engineering problems Applied Engineering Analysis is a concise textbookwhich demonstrates how toapply mathematics to solve engineering problems. It begins with an overview of engineering analysis and an introduction to mathematical modeling, followed by vector calculus, matrices and linear algebra, and applications of first and second order differential equations. Fourier series and Laplace transform are also covered, along with partial differential equations, numerical solutions to nonlinear and differential equations and an introduction to finite element analysis. The book also covers statistics with applications to design and statistical process controls. Drawing on the author's extensive industry and teaching experience, spanning 40 years, the book takes a pedagogical approach and includes examples, case studies and end of chapter problems. It is also accompanied by a website hosting a solutions manual and PowerPoint slides for instructors. Key features: Strong emphasis on deriving equations, not just solving given equations, for the solution of engineering problems. Examples and problems of a practical nature with illustrations to enhance student’s self-learning. Numerical methods and techniques, including finite element analysis. Includes coverage of statistical methods for probabilistic design analysis of structures and statistical process control (SPC). Applied Engineering Analysis is a resource book for engineering students and professionals to learn how to apply the mathematics experience and skills that they have already acquired to their engineering profession for innovation, problem solving, and decision making. |
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Nov 13, 2018 · It means, the Class reference type can hold any Class object which represents any type. If JVM loads a type, a class object representing that type will be present in JVM. we …
Angular: conditional class with *ngClass - Stack Overflow
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What is the difference between an interface and abstract class?
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How do I extend a class with c# extension methods?
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syntax - What does Class mean in Java? - Stack Overflow
Nov 13, 2018 · It means, the Class reference type can hold any Class object which represents any type. If JVM loads a type, a class object representing that type will be present in JVM. we can get …
Angular: conditional class with *ngClass - Stack Overflow
Feb 8, 2016 · From the angular documentation: "The asterisk is "syntactic sugar" for something a bit more complicated. Internally, Angular translates the *ngIf attribute into a element, …
oop - Is there a benefit to defining a class inside another class in ...
Sep 17, 2008 · If the class bar was defined outside of class foo instead, as well as its inherited version (which would be called bar2 for example), then defining the new class foo2 would be …
What is the difference between an interface and abstract class?
Dec 16, 2009 · The comparison of interface vs. abstract class is wrong. There should be two other comparisons instead: 1) interface vs. class and 2) abstract vs. final class. Interface vs Class. …
java - Error: Could not find or load main class - Stack Overflow
Jan 2, 2016 · To be clear, the name of this class is not TheClassName, It's thepackagename.TheClassName. Attempting to execute TheClassName does not work, because …
class - Understanding Python super() with __init__() methods
Feb 23, 2009 · I'm trying to understand super(). The reason we use super is so that child classes that may be using cooperative multiple inheritance will call the correct next parent class function …
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Dec 5, 2016 · Protected: Accessible by class member functions, friend function or friend class & derived classes. You can keep class member variable or function (even typedefs or inner classes) …
oop - When to use an interface instead of an abstract class and vice ...
Jan 26, 2009 · When you derive an Abstract class, the relationship between the derived class and the base class is 'is a' relationship. e.g., a Dog is an Animal, a Sheep is an Animal which means …
How do I extend a class with c# extension methods?
public class Calculator { public double Add(double num1, double num2) { return num1 + num2; } } // Below is the extension class which have one extension method. public static class Extension { // It …
java - How do I resolve ClassNotFoundException? - Stack Overflow
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