Sign-In
Cart
Theory and Problems of Differential Calculus in R^n
Paperback
CalculusGeneral MathematicsPhysics
ISBN13: 9781800618558
Publisher: Wspc (Europe)
Published: Feb 13 2026
Pages: 250
Weight: 0.80
Height: 0.57 Width: 6.00 Depth: 9.00
Language: English
This book offers both a theoretical and practical introduction to Differential Calculus of several real variables, tailored for students embarking on their first semester of study in the subject. Designed especially for those in Mathematical and Physical Sciences, as well as Engineering disciplines, it assumes only a foundational understanding of single-variable calculus and basic linear algebra.
The book begins with a study of finite-dimensional Euclidean spaces, including geometry, metrics, convergence, compactness, and convexity. It then progresses to continuous and differentiable functions, exploring directional derivatives, the chain rule, vector fields, and Fréchet and Gâteaux differentials. Further chapters address higher-order derivatives, Taylor's formula, and the conditions for local extrema, before delving into essential theorems such as the Inverse and Implicit Function Theorems. The final chapter introduces differentiable manifolds and constrained optimisation using Lagrange multipliers.
Each topic is supported by a selection of thoughtfully designed problems that reinforce both conceptual understanding and practical skills. Complete solutions are provided at the end of the book, making it a valuable resource for classroom use and self-study alike. This is a clear and rigorous foundation for anyone beginning their journey into multivariable calculus.
Also from
Mazon Jose M
Also in
Calculus
AP Calculus Premium, 2027: Prep Book with 12 Practice Tests + Comprehensive Review + Online Practice (Barron's AP Prep)
Bock, David
Hockett, Shirley O.
Donovan, Dennis, M. S.
Paperback
Princeton Review AP Calculus AB Premium Prep, 13th Edition: 8 Practice Tests + Digital Practice Online + Content Review
Khan, David
The Princeton Review
Paperback
5 Steps to a 5: AP Calculus AB 2027: Practice AP Tests + AP Content Review + Digital Exams
Pillar, Emily
Paperback
Princeton Review AP Calculus BC Premium Prep, 13th Edition: 5 Practice Tests + Digital Practice Online + Content Review
The Princeton Review
Khan, David
Paperback
Make: Physics: Build Projects to Explore Calculus-Based Mechanics
Horvath, Joan
Cameron, Rich
Paperback
Ordinary Differential Equations: An Elementary Textbook for Students of Mathematics, Engineering, and the Sciences
Tenenbaum, Morris
Pollard, Harry
Paperback
Math education workbook: Daily Mathematics Practice Exercises Maths book level 1 for 3rd 4th 5th... Grades with Addition, Subtraction, Multipli
Homeschooling Book, Math
Paperback
Calculus Made Easy: Being a Very-Simplest Introduction to Those Beautiful Methods of Reckoning Which Are Generally Called by the Terrifying Names of t
Thompson, Silvanus Phillips
Paperback
Math for Programmers: 3D Graphics, Machine Learning, and Simulations with Python
Orland, Paul
Paperback
Integral, Measure and Derivative: A Unified Approach
Shilov, G. E.
Gurevich, B. L.
Mathematics
Paperback
Schaum's Outline of Fourier Analysis with Applications to Boundary Value Problems
Spiegel, Murray R.
Paperback
Mathematics: Its Content, Methods and Meaning
Kolmogorov, A. N.
Lavrent'ev, M. a.
Aleksandrov, A. D.
Paperback
MIT Integration Bee, Solutions of Qualifying Tests from 2010 to 2023: 249 pages, 15 chapters.
Alkousa, Mohammad
Paperback
Math for Deep Learning: What You Need to Know to Understand Neural Networks
Kneusel, Ronald T.
Paperback
How to Ace the Rest of Calculus: The Streetwise Guide, Including Multivariable Calculus
Thompson, Abigail
Hass, Joel
Adams, Colin
Paperback
Pre-Calculus: 1001 Practice Problems for Dummies (+ Free Online Practice)
Sterling, Mary Jane
Paperback
Elements of the Theory of Functions and Functional Analysis [Two Volumes in One]
Kolmogorov, A. N.
Fomin, S. V.
Paperback
A History of Vector Analysis: The Evolution of the Idea of a Vectorial System
Crowe, Michael J.
Paperback
Math education workbook: Daily Mathematics Practice Exercises Maths book level 2 for 3rd 4th 5th... Grades with Addition, Subtraction, Multipli
Homeschooling Book, Math
Paperback
Methods of the Theory of Functions of Many Complex Variables
Vladimirov, Vasiliy Sergeyevich
Paperback
Schaum's Outline of Complex Variables, 2ed
Schiller, John J.
Spiegel, Murray R.
Lipschutz, Seymour
Paperback
Math education workbook: Math education workbook: Daily Mathematics Practice Exercises Maths book level 3 for 3rd 4th 5th... Grades with Additi
Homeschooling Book, Math
Paperback
Introduction to Calculus Book 1: Practice Workbook with worked examples and practice problems
Frey, Nathan
Paperback
The Calculus Diaries: How Math Can Help You Lose Weight, Win in Vegas, and Survive a Zombie Apocalypse
Ouellette, Jennifer
Paperback
Machine Learning Brick by Brick, Epoch 1: Using LEGO(R) to Teach Concepts, Algorithms, and Data Structures
Vostokov, Dmitry
Paperback
The Calculus Wars: Newton, Leibniz, and the Greatest Mathematical Clash of All Time
Bardi, Jason Socrates
Paperback
Calculus in 5 Hours: Concepts Revealed so You Don't Have to Sit Through a Semester of Lectures
Jarecke, Dennis
Paperback
High School Calculus: A New Perspective: For Any High School Curriculum, Including IB, A-Level, AP, and More
Seeds, Spring
Paperback
Teach (Test) yourself...Introduction to Calculus: Theory and Tests with Step by Step Solutions
Sincraian, Marcel
Paperback
Lectures on Selected Topics in Mathematical Physics: Elliptic Functions and Elliptic Integrals
Schwalm, William a.
Paperback
Calculus On Manifolds: A Modern Approach To Classical Theorems Of Advanced Calculus
Spivak, Michael
Paperback
Single Variable Calculus: Early Transcendentals
Clegg, Daniel K.
Stewart, James
Watson, Saleem
Hardcover
Foundations of Analysis: The Arithmetic of Whole, Rational, Irrational and Complex Numbers
Landau, Edmund
Paperback
Discrete Nonlinear Schrodinger Equation: Beyond Complete Integrability
Pankov, Alexander
Zhang, Guoping
Hardcover
Vorlesungen über die Theorie der automorphen Functionen; Volume 1
Fricke, Robert
Klein, Félix
Paperback
Weiterführende statistische Methoden für Politikwissenschaftler
König, Pascal
Wenzelburger, Georg
Jäckle, Sebastian
Paperback
The Method of Fluxions and Infinite Series: With its Application to the Geometry of Curve-lines
Colson, John
Newton, Isaac
Hardcover
The Calculus of Friendship: What a Teacher and a Student Learned about Life While Corresponding about Math
Strogatz, Steven
Paperback