Sign-In
Cart
What Is Calculus?: From Simple Algebra to Deep Analysis
Paperback
ISBN13: 9789814644488
Publisher: World Scientific Publishing Company
Published: Jan 30 2016
Pages: 372
Weight: 1.20
Height: 0.80 Width: 6.10 Depth: 8.90
Language: English
This unique book provides a new and well-motivated introduction to calculus and analysis, historically significant fundamental areas of mathematics that are widely used in many disciplines. It begins with familiar elementary high school geometry and algebra, and develops important concepts such as tangents and derivatives without using any advanced tools based on limits and infinite processes that dominate the traditional introductions to the subject. This simple algebraic method is a modern version of an idea that goes back to René Descartes and that has been largely forgotten. Moving beyond algebra, the need for new analytic concepts based on completeness, continuity, and limits becomes clearly visible to the reader while investigating exponential functions.
The author carefully develops the necessary foundations while minimizing the use of technical language. He expertly guides the reader to deep fundamental analysis results, including completeness, key differential equations, definite integrals, Taylor series for standard functions, and the Euler identity. This pioneering book takes the sophisticated reader from simple familiar algebra to the heart of analysis. Furthermore, it should be of interest as a source of new ideas and as supplementary reading for high school teachers, and for students and instructors of calculus and analysis.
1 different editions
Also available
Also from
Range R Michael
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
Princeton Review AP Calculus BC Premium Prep, 12th Edition: 5 Practice Tests + Digital Practice Online + Content Review
The Princeton Review
Khan, David
Paperback
Princeton Review AP Calculus AB Premium Prep, 12th Edition: 8 Practice Tests + Digital Practice Online + Content Review
Khan, David
The Princeton Review
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
Integral, Measure and Derivative: A Unified Approach
Gurevich, B. L.
Mathematics
Shilov, G. E.
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
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
How to Ace the Rest of Calculus: The Streetwise Guide, Including Multivariable Calculus
Adams, Colin
Thompson, Abigail
Hass, Joel
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
Math education workbook: Daily Mathematics Practice Exercises Maths book level 2 for 3rd 4th 5th... Grades with Addition, Subtraction, Multipli
Homeschooling Book, Math
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
Methods of the Theory of Functions of Many Complex Variables
Vladimirov, Vasiliy Sergeyevich
Paperback
Schaum's Outline of Complex Variables, 2ed
Lipschutz, Seymour
Schiller, John J.
Spiegel, Murray R.
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
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 in 5 Hours: Concepts Revealed so You Don't Have to Sit Through a Semester of Lectures
Jarecke, Dennis
Paperback
Calculus On Manifolds: A Modern Approach To Classical Theorems Of Advanced Calculus
Spivak, Michael
Paperback
Single Variable Calculus: Early Transcendentals
Stewart, James
Watson, Saleem
Clegg, Daniel K.
Hardcover
Discrete Nonlinear Schrodinger Equation: Beyond Complete Integrability
Zhang, Guoping
Pankov, Alexander
Hardcover
Calculus Made Easy: A Beginner-Friendly Guide to Mathematical Concepts and Problem Solving
Layla, Nora
Paperback
Foundations of Analysis: The Arithmetic of Whole, Rational, Irrational and Complex Numbers
Landau, Edmund
Paperback
Vorlesungen über die Theorie der automorphen Functionen; Volume 1
Klein, Félix
Fricke, Robert
Paperback
Weiterführende statistische Methoden für Politikwissenschaftler
Wenzelburger, Georg
Jäckle, Sebastian
König, Pascal
Paperback
The Method of Fluxions and Infinite Series: With its Application to the Geometry of Curve-lines
Newton, Isaac
Colson, John
Hardcover
Learn Calculus Quickly: The Complete Guide To Easily Master Calculus in 100 Solved Equations!
Wizo, Math
Paperback