Description
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The ‘Classic Text Series’ is the only of its kind selection of classic pieces of work that started off as bestseller and continues to be the bestseller even today. These classic texts have been designed so as to work as elementary textbooks which play a crucial role in building the concepts from scratch as in-depth knowledge of concepts is necessary for students preparing for various entrance exams.
The present book on Problems in Calculus of One Variable covers the in-depth study of mathematical analysis based on many years of the author’s experience. The author has presented this book with an aim to train the students in active approach to mathematical exercises, as is done at a seminar. The present book has been divided into eight chapters namely Introduction to Mathematical Analysis, Differentiation of Functions, Application of Differential Calculus to investigation of Functions, Indefinite Integrals, Basic Method of Integration, Basic Classes of Integrable Functions, The Definite Integrals, Applications of the Definite Integral and Improper Integrals. Each chapter in the book begins with a theoretical introduction of the topics containing the principal definitions, theorems and formulas followed by solved examples based on the topics discussed. The solved examples have been covered topic wise along with the explanation of concepts for immediate and effective understanding of the concepts. The standard computational exercises are supplemented by examples and problems explaining the theory, promoting its deeper understanding and stimulating precise mathematical thinking. Some counter-examples explaining the need for certain conditions in the formulation of basis theorems are also included in the book. At the end of each chapter, unsolved practice exercises have been provided to help aspirants revise the concepts discussed in the chapter. At the end of the book answers and solutions to the unsolved practice exercises have also been provided for better comprehension of the concepts.
As the book contains relevant theoretical content along with ample number of solved as well as unsolved problems covering the varied aspects of mathematical analysis, it for sure will help the students master their concepts of Problems in Calculus of One Variable.
Problems In MATHEMATICS with Hints and Solutions
The ‘Classic Text Series’ is the only of its kind selection of classic pieces of work that started off as bestseller and continues to be the bestseller even today. These classic texts have been designed so as to work as elementary textbooks which play a crucial role in building the concepts from scratch as in-depth knowledge of concepts is necessary for students preparing for various entrance examinations.
The present book on Problems in Mathematics contains more than three thousand mathematics problems and covers each topic taught at school. The book has been divided into four parts covering Algebra, Trigonometry & Elementary Functions, Fundamentals of Mathematical Analysis, Geometry & Vector Algebra and Oral Examination Problems & Questions, each segregated into number of chapters. The materials relating to complex numbers, combinatorics, the binomial theorem, elementary trigonometric inequalities and set theory & the method of coordinates has been included in the this book. While writing this classic text piece the authors have used their experience of examining students in mathematics at higher schools. To make it easier for the readers to grasp the material, some of the sections have been supplemented with explanatory text. Well explained theoretical concepts have been provided in points between each chapter for clarifying relevant basic concepts. The problems covered in the book have been solved and some contain additional hints as well for better comprehension of the concepts. At the end of each chapter, unsolved practice exercises have been provided to help aspirants revise the concepts discussed in the chapter. The fourth part covers the problems and questions which are asked during oral examinations. Hints & solutions to the practice exercises have been given part-wise at the end after the fourth part. The book also contains an Appendix at the end to help aspirants get additional information on the topics.
Hope this book from the Classic Text Series will help the readers get into the depth of various topics covered under Problems in Mathematics which have been discussed thoroughly and comprehensively.
Differential Calculus For Beginners
The ‘Classic Texts Series’ is the only of its kind selection of classic pieces of work that started off as bestseller and continues to be the bestseller even today. These classic texts have been designed so as to work as elementary textbooks which play a crucial role in building the concepts from scratch as in-depth knowledge of concepts is necessary for students preparing for various entrance examinations.
The present textbook on Differential Calculus for Beginners for engineering aspirants is based on the premise that problems in calculus are difficult but they are workable. The book has been divided into 15 chapters namely Limiting Values & Elementary Undetermined Forms, Differentiation from the Definition, Fundamental Propositions, Standard Forms, Successive Differentiation, Expansions, Infinitesimals, Tangents & Normals, Asymptotes, Curvature, Envelopes, Associated Loci, Maxima & Minima, Undetermined Forms and Limitations of Taylor’s Theorem. The contents of the book have been devised to cover the syllabi of and serve as a textbook for all engineering entrance examinations being conducted in India. The book covers the required laws of mechanics for solving the problems by breaking them down into easily manageable steps. The elaboration of the concepts is simple and engaging with a clear objective of taking out the mystique attached with the calculus problems. The revised edition contains all types of questions i.e. Single Correct Answers, Multiple Correct Answers, Multiple Correct Options, Passage-Based, Matching Types, Assertion & Reason, Integer Answer Types – with complete solutions. Various Points to Consider have been spread all over the chapters for quick understanding of the concepts discussed.
This is a must have textbook which starts from fundamentals and gradually builds your concepts of Differential Calculus for Beginners upto the level required for Engineering Entrances and finally will place you among the toppers.
Integral Calculus For Beginners
The ‘Classic Text Series’ is the only of its kind selection of classic pieces of work that started off as bestseller and continues to be the bestseller even today. These classic texts have been designed so as to work as elementary textbooks which play a crucial role in building the concepts from scratch as in-depth knowledge of concepts is necessary for students preparing for various entrance examinations.
The present textbook on Integral Calculus for engineering aspirants is based on the premise that problems in calculus are difficult but they are workable. The book has been divided into Notation, Summation and Applications, General Method and Standard Forms, Method of Substitution, Integration by Parts, Partial Fractions, Sundry Standard Methods, Reduction Formulae, Miscellaneous Methods, Rectification, Quadrature, Surface and Volumes of Solids of Revolution, Second Order Elements of Area Miscellaneous Applications, Equations of the First Order, Equations of the Second Order, Exact Differential Equations, Linear Differential equations with constant co-efficient and orthogonal trajectories miscellaneous equations. The contents of the book have been devised to cover the syllabi of and serve as a textbook for all engineering entrance examinations being conducted in India. The book covers the required calculus concepts and the strategies for solving the problems by breaking them down into easily manageable steps. The elaboration of the concepts is simple and engaging with a clear objective of taking out the mystique attached with the calculus problems. The revised edition contains all types of questions i.e. Single Correct Answers, Multiple Correct Answers, Multiple Correct Options, Passage-Based, Matching Types, Assertion and Reason, Integer Answer Types – with complete solutions. Various Points to Consider have been spread all over the chapters for quick understanding of the concepts discussed.
This is a must have textbook which starts from fundamentals and gradually builds your concepts of Integral Calculus upto the level required for Engineering Entrances and finally will place you among the toppers.
