Mathematical Analysis II: Multivariable Calculus and its Applications in Vector Spaces (Bachelor's Degree in Mathematics) [Print Replica] Kindle Edition

Do you want to master differential and integral calculus with a rigorous, hands-on approach?Calculus I is a comprehensive, progressive text that guides you step by step from the fundamentals of calculus to its most relevant applications in mathematics, physics, engineering, and economics. Designed for university students, self-learners, and instructors, this work is part of the Mathematics Bachelor’s Series, providing a solid theoretical foundation alongside numerous worked and proposed exercises.What will you find in this book?✅ Limits and Continuity of FunctionsExplore the concept of a limit, one-sided limits, trigonometric limits, infinite limits, and the study of continuity, with applications such as the Intermediate Value Theorem.✅ Derivatives and Their ApplicationsCovers differentiation rules, implicit differentiation, rates of change, maxima and minima, inflection points, and function optimization.✅ Integrals and Integration TechniquesLearn about definite and indefinite integrals, integration by parts, substitution, and the Fundamental Theorem of Calculus.✅ Real-World Applications of CalculusCompute areas, volumes of solids of revolution, arc lengths, improper integrals, and work in polar coordinates.✅ Exercises and Practical ProblemsIncludes worked examples, step-by-step exercises, and proposed problems with a pedagogical focus to reinforce understanding.Key Features:✔ Clear, progressive explanations.✔ Focused on developing logical and mathematical thinking.✔ Ideal for courses in differential and integral calculus.✔ Suitable for both self-study and formal teaching.Who is it for?📘 University students in Mathematics, Engineering, Physics, or the Exact Sciences.📘 Instructors seeking structured, up-to-date material.📘 Self-learners and professionals looking for a rigorous, applied reference.📌 Click “Buy Now” and start your journey through Calculus with a clear, complete, and rigorous guide.🛡 Legal Information:📄 Legal Deposit: 2025-06869📍 Country of Origin: Peru📚 Independent Publisher: Helbert Justo Luque Zevallos🏠 Legal Address: Coop. Vista Alegre E-2, Alto Selva Alegre, Arequipa, Peru🔗 Available on Amazon: https://www.amazon.com Read more