Concepts, Problems and Solutions in School Calculus
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Concepts, Problems and Solutions in School Calculus

About the Book

Concepts, Problems and Solutions in School Calculus.

Employing the extremely lively form of dialogue, almost all the subjects in the syllabus are discussed comprehensively, especially questions usually considered difficult to understand. The book presents a detailed analysis of common mistakes made by students embarking on learning and applying concepts in calculus. Students will find this to be an exceptionally clear and interesting textbook which treats of complicated problems from various viewpoints and contains a great many excellent illustrations promoting a deeper understanding of the ideas and concepts involved.

The whole book is presented as a relatively free-flowing dialogue between the AUTHOR and the READER. From one discussion to another the AUTHOR will lead the inquisitive and receptive READER to different notions, ideas, and theorems of calculus, emphasizing especially complicated or delicate aspects, stressing the inner logic of proofs, and attracting the reader's attention to special points. This form of presentation will help a reader of the book in learning new definitions such as those of derivative, antiderivative, definite integral, differential equation, etc. It will lead the reader to better understanding of such concepts as numerical sequence, limit of sequence, and function. Briefly, these discussions are intended to assist pupils entering a novel world of calculus. And if in the long run the reader of the book gets a feeling of the intrinsic beauty and integrity of higher mathematics or even is appealed to it, the author will consider his mission as successfully completed.

If you are interested in a printed copy of this book, you can purchase one at Amazon.

About the Author

Chandra Shekhar Kumar
Chandra Shekhar Kumar

Chandra Shekhar Kumar is Staff Software Architect @ GE Healthcare (Ultrasound Digital Solutions). In an innovator role, he is actively involved in digital Innovation in Ultrasound ecosystem (premise, edge and cloud) including (but not limited to) C++17/20/23, Boost C++ Libraries, WineLib, Qt, wxWidgets, WebAssembly,, Hashicorp Nomad and Rust. Motto is to build once and run everywhere using the same code base (using and extending WebAssembly Infrastructure)

He is Co-Founder of Ancient Science Publishers (estd.2014), a venture to publish monographs on mathematics, physics and computer science and render services related to hiring technical talents, training for competitive programming, algorithms, programming interviews, IITJEE and Olympiads. Inspiration for this undertaking came from the writings of Leonhard Euler (mathematics), Richard Phillips Feynman (physics) and Edsger Wybe Dijkstra (computer science).

He is Founder of Ancient Kriya Yoga Mission (estd.2013), a venture to disseminate simple techniques of ancient science of living and publish kriya yoga scriptures and commentaries.

He holds a degree of Integrated M.Sc.(5 yrs) in Physics from IIT Kanpur.

He has worked with software companies like Trilogy, Oracle and few start-ups.

He has been programming in C++ for the last 22 years. He loves to hack gcc, gdb, valgrind, clang, boost, TeX, LaTeX and pours inside the works of Dijkstra and Knuth.

Table of Contents

Infinite Numerical Sequence Limit of Sequence Convergent Sequence Function More on Function Limit of Function More on The Limit of Function Velocity Derivative Differentiation Anti-Derivative Integral Differential Equations More on Differential Equations Miscellaneous Problems

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