Description
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(as of Apr 25, 2024 11:33:09 UTC – Details)
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.
Algebra For Beginners
p>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 Algebra for Beginnerspresents all the elements of Algebra in a single book meant to work as textbook for the students beginning their preparation of the varied aspects covered under Algebra. The present book has been divided into 27 chapters namely Definitions, Substitutions, Negative Quantities, Addition of Like Terms, Simple Brackets Additions, Subtraction, Multiplication, Division, Removal & Insertion of Brackets, Revision of Elementary Rules, Simple Equations, Symbolical Expression, Problems Leading to Simple Equations, Highest Common Factor, Lowest Common Multiple of Simple Expressions, Simultaneous Equations, Problems leading to Simultaneous Equations, Involution, Evolution, Resolution into Factors Converse Use of Factors, Highest Common Factor of Compound Expressions, Multiplication & Division of Fractions, Lowest Common Multiple of Compound Expressions, Addition & Subtraction of Fractions, Miscellaneous Fractions, Harder Equations, Harder Problems, Quadratic Equations, Problems Leading to Quadratic Equations and Ratio & Proportion, each subdivided into number of topics. Both the theoretical text as well as examples have been treated minutely which will help in better understanding of the concepts covered in the book. Each chapter begins with an introductory sketch with theoretical content followed by large number of examples which will help in on the stop understanding of the concepts discussed in the theoretical content. At the end of each chapter, unsolved practice exercises have also been provided for thorough practice of the concepts covered in the chapter. All the relevant theorems covered under the syllabi of Algebra have also been covered in the detail in this book.
As the book covers the whole syllabi of Algebra in detail along with ample number of solved as well as unsolved examples, it for sure will help the students perfect the varied concepts covered under the Algebra section.
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.
