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Basic Mathematics: Part II by H K Dass

Basic Mathematics: Part II

by H K Dass , Rama Verma , Rajnish Verma
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₹650.00
₹650.00
₹650.00
₹650.00
₹650.00

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Book cover type: Paperback
  • ISBN13: 9789358707977
  • Binding: Paperback
  • Subject: N/A
  • Publisher: S Chand Publishing
  • Publisher Imprint: S Chand Publishing
  • Publication Date:
  • Pages: 640
  • Original Price: INR 650.0
  • Language: English
  • Edition: N/A
  • Item Weight: 587 grams
  • BISAC Subject(s): N/A

"Basic Mathematics Part II" serves as a comprehensive guide through essential topics in calculus, integration, and vectors, making it an indispensable resource for students and professors alike. In Unit I: Calculus 1, readers delve into foundational concepts such as continuity, differentiability and second-order derivatives, laying the groundwork for advanced mathematical exploration. The exploration of Rolle’s Theorem and the Mean Value Theorem offers insight into the fundamental principles of calculus, while discussions on the rate of change of quantities tangents and normals provide practical applications. Moreover, the unit explores differentials, errors, and approximations, crucial for understanding real-world problems and scientific analysis. The unit concludes with a thorough examination of increasing and decreasing functions, maxima, and minima, providing tools for optimizing mathematical models. In Unit II: Calculus 2, the focus shifts to integration techniques, including indefinite integrals, integration by substitution, partial fractions, and integration of rational and irrational functions. The study of definite integrals and techniques like integration by parts enriches readers' understanding of mathematical analysis and problem-solving. Additionally, the unit covers sketching of simple curves and the calculation of bounded regions' areas, enhancing geometric intuition and visualization skills. The inclusion of differential equations and their applications further extends the reader's mathematical toolkit, with topics ranging from separable variables to homogeneous equations and their practical implications. Finally, Unit III: Vectors and Three-Dimensional Geometry introduces algebraic operations with vectors, scalar and vector products, and their applications in probability theory. The exploration of probability distributions, including binomial distribution, offers a bridge between calculus and statistics, enabling readers to tackle a diverse range of mathematical challenges with confidence. With its clear explanations, worked examples, and comprehensive coverage, "Basic Mathematics Part II" empowers learners to master essential mathematical concepts and apply them across various disciplines.

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