5 Best Books For Mathematics.You Must Read For Become Math Export.
1.Higher Algebra by Hall and knight.
Hall & Knight for Higher Algebra for Beginners- Classic Texts Series - Classic Text Series is a compilation of great and amazing works done by inspiring Teachers, Authors, Writers and Visionaries around the worlds in the field of Science and Mathematics. Higher Algebra for Schools, by Hall & Knight is one of the finest book trusted by lecturers and students involved in the preparations of Elementary Algebra. In this edition of the book you will note that the text is largely supplemented by manuscript notes and various segments and chapters have been included, restructured, enlarged, and revised. Authored by, esteemed HS Hall and SR Knight, the book consists of: Definitions, Theorems, Formulas, and Solved Examples, Unsolved Examples, Miscellaneous Examples from easy to challenging levels of difficulty. Answers to these 35 unsolved exercises are given at the end of the book to train students with deep understanding and dynamic approach to Mathematical Exercises.
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2.Higher Algebra by Barnard and Child.
The present book on Higher Algebrapresents all the elements of Higher Algebra in a single book meant to work as textbook for the students beginning their preparation of the varied aspects covered under Higher Algebra. The present book has been divided into 35 chapters namely Ratio, Proportion, Variation, Arithmetical Progression, Geometrical Progression, Harmonical Progression Theorems Connected with The Progression, Scales of Notation, Surds & Imaginary Quantities, The Theory of Quadratic Equations, Miscellaneous Equations, Permutations & Combinations, Mathematical Induction, Binomial Theorem Positive Integral Index, Binomial Theorem, Any Index, Multinational Theorem, Logarithms, Exponential & Logarithmic Series, Interest & Annuities, Inequalities, Limiting Values & Vanishing Fractions, Convergency&Divergency of Series, Undetermined Coefficients, Partial Fractions, Recurring Series, Continued Fractions, Recurring Series, Continued Fractions, Indeterminate Equations of the First Degree, Recurring Continued Fractions, Indeterminate Equations of the Second Degree, Summation of Series, Theory of Numbers, The General Theory of Continued Fractions, Probability, Determinants, Miscellaneous Theorems & Examples and Theory of Equations, each subdivided into number of topics. The first few chapters in the book have been devoted to a fuller discussion of Ratio, Proportions, Variation and the Progressions. 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. Theoretical explanation of the concepts in points has been provided at the beginning of each chapter. 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 chapterwise study, miscellaneous examples have also been given along with answers and solutions to the unsolved examples covered in each chapter. All the relevant theorems covered under the syllabi of Higher Algebra have also been covered in the detail in this book.
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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.
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4.Calculus by Thomas and Finney.
The ninth edition of this proven text has been carefully revised to give students the solid base of material they will need to succeed in math, science, and engineering programs. This edition includes recent innovations in teaching and learning that involve technology, projects, and group work. NINTH EDITION.
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The present book on Plane Trigonometry Part 1emphasis on presenting the modern treatment of various concepts of Plane Trigonometry. The book has been divided into 21 chapters namely Measurement of angles; Sexagesimal and Centesimal Measure Circular or Radian, Measure, Trigonometrical ratios for angles less than a right angle, Simple problems in Heights & Distances, Applications of algebraic signs to Trigonometry tracing the changes in the ratios, Trigonometrical ratios of angles of any size & sign, General expressions for all angles having an given trigonometrical ratio, Trigonometrical ratios of the sum & difference of two angles product formulae, Trigonometrical ratios of multiple & submultiple of angles, Identities &trigonometrical equations, Logarithms, Tables of Logarithms, The Principle of Proportional parts, Relations between the Side &Trigonometrical ratios of the Angles of a triangle, Solution of triangles, given two sides & the included angle, ambiguous case, Heights & Distances, Properties of a triangle, Quadrilaterlas, Regular Polygons, Inverse circular functions, Summation of some simple trigonometrical series, Elimination and Projections, each covering various concepts of Plane Trigonometry. Theoretical explanation of the concepts in points has been provided at the beginning of each chapter. 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 chapterwise study, miscellaneous examples have also been given. Also five-figure logarithmic and Trigonometrical Tables have been covered at the end of the book.
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