Free Download Michael Spivak, "Calculus Ed 3"
English | ISBN: 0521867444 | 2006 | 681 pages | PDF | 6 MB
Spivak's celebrated textbook is widely held as one of the finest introductions to mathematical analysis. His aim is to present calculus as the first real encounter with mathematics: it is the place to learn how logical reasoning combined with fundamental concepts can be developed into a rigorous mathematical theory rather than a bunch of tools and techniques learned by rote. Since analysis is a subject students traditionally find difficult to grasp, Spivak provides leisurely explanations, a profusion of examples, a wide range of exercises and plenty of illustrations in an easy-going approach that enlightens difficult concepts and rewards effort. Calculus will continue to be regarded as a modern classic, ideal for honours students and mathematics majors, who seek an alternative to doorstop textbooks on calculus, and the more formidable introductions to real analysis.

Ghergu M Differential Calculus in Several Variables A Learning-by-Doing 2024 | 9.89 MB
N/A | 325 Pages

Title: Differential Calculus in Several Variables: A Learning-by-Doing Approach
Author: Marius Ghergu
Year: N/A

Keisler J Foundations of Infinitesimal Calculus 2022 | 4.49 MB
N/A | 213 Pages

Title: N/A
Author: N/A
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Free Download Functional Analysis, Sobolev Spaces, and Calculus of Variations
English | 2024 | ISBN: 3031492455 | 391 Pages | PDF EPUB (True) | 27 MB
This book aims at introducing students into the modern analytical foundations to treat problems and situations in the Calculus of Variations solidly and rigorously. Since no background is taken for granted or assumed, as the textbook pretends to be self-contained, areas like basic Functional Analysis and Sobolev spaces are studied to the point that chapters devoted to these topics can be utilized by themselves as an introduction to these important parts of Analysis. The material in this regard has been selected to serve the needs of classical variational problems, leaving broader treatments for more advanced and specialized courses in those areas. It should not be forgotten that problems in the Calculus of Variations historically played a crucial role in pushing Functional Analysis as a discipline on its own right. The style is intentionally didactic. After a first general chapter to place optimization problems in infinite-dimensional spaces in perspective, the first part of the book focuses on the initial important concepts in Functional Analysis and introduces Sobolev spaces in dimension one as a preliminary, simpler case (much in the same way as in the successful book of H. Brezis). Once the analytical framework is covered, one-dimensional variational problems are examined in detail including numerous examples and exercises. The second part dwells, again as a first-round, on another important chapter of Functional Analysis that students should be exposed to, and that eventually will find some applications in subsequent chapters. The first chapter of this part examines continuous operators and the important principles associated with mappings between functional spaces; and another one focuses on compact operators and their fundamental and remarkable properties for Analysis. Finally, the third part advances to multi-dimensional Sobolev spaces and the corresponding problems in the Calculus of Variations. In this setting, problems become much more involved and, for this same reason, much more interesting and appealing. In particular, the final chapter dives into a number of advanced topics, some of which reflect a personal taste. Other possibilities stressing other kinds of problems are possible. In summary, the text pretends to help students with their first exposure to the modern calculus of variations and the analytical foundation associated with it. In particular, it covers an extended introduction to basic functional analysis and to Sobolev spaces. The tone of the text and the set of proposed exercises will facilitate progressive understanding until the need for further challenges beyond the topics addressed here will push students to more advanced horizons.

Free Download Fractal Calculus and its Applications: Fα-Calculus by Alireza Khalili Golmankhaneh
English | August 29, 2022 | ISBN: 9811261105 | 311 pages | MOBI | 61 Mb
Fractal calculus is the simple, constructive, and algorithmic approach to natural processes modeling, which is impossible using smooth differentiable structures and the usual modeling tools such as differential equations. It is the calculus of the future and will have many applications.

Braver S Full Frontal Calculus An Infinitesimal Approach 2ed 2023 | 6.1 MB
N/A | 204 Pages

Title: Full Frontal Calculus (2nd edition)
Author: Seth Braver
Year: N/A

Free Download Assembling Calculus
Released 1/2024
MP4 | Video: h264, 1280x720 | Audio: AAC, 44.1 KHz, 2 Ch
Skill Level: Beginner | Genre: eLearning | Language: English + srt | Duration: 1h 24m | Size: 208 MB
Join instructors Joan Horvath and Rich Cameron as they explore derivatives, integrals, and fundamental theorems of calculus using toy bricks and 3D printed visualizations. Discover the link between these physical models and their symbolic equivalents alongside the core concepts of basic differential and integral calculus. Finally, take a deep dive into the math behind simple numerical models of classic problems such as the swinging pendulum and the equations governing populations of predators and prey. This course is designed for anyone who needs to use calculus, whether self-taught or in a traditional course, who wants to think about calculus more conceptually before diving into advanced algebra and special cases.

Free Download APEX Calculus, Version 4.0 by Gregory Hartman
English | PDF | 2018 | 972 Pages | ISBN : N/A | 102.5 MB
APEX Calculus is a calculus textbook written for traditional college/university calculus courses. It has the look and feel of the calculus book you likely use right now (Stewart, Thomas & Finney, etc.). The explanations of new concepts is clear, written for someone who does not yet know calculus. Each section ends with an exercise set with ample problems to practice & test skills (odd answers are in the back).

Free Download 14 hours to Power Calculus For all levels
Published 12/2023
Created by Darshan Maheshwari
MP4 | Video: h264, 1280x720 | Audio: AAC, 44.1 KHz, 2 Ch
Genre: eLearning | Language: English | Duration: 152 Lectures ( 13h 37m ) | Size: 9.1 GB

Free Download Become a Full Master of Calculus 1 – Learn step by step
Last updated 6/2022
Created by Moein Ud Din
MP4 | Video: h264, 1280x720 | Audio: AAC, 44.1 KHz, 2 Ch
Genre: eLearning | Language: English + srt | Duration: 372 Lectures ( 42h 20m ) | Size: 18.7 GB