Best Reference Books – Vector Calculus and Complex Analysis

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We have compiled the list of Top 10 Best Reference Books on Vector Calculus and Complex Analysis subject. These books are used by students of top universities, institutes and colleges. Here is the full list of top 10 best books on Vector Calculus and Complex Analysis along with reviews.

Kindly note that we have put a lot of effort into researching the best books on Vector Calculus and Complex Analysis subject and came out with a recommended list of top 10 best books. The table below contains the Name of these best books, their authors, publishers and an unbiased review of books on "Vector Calculus and Complex Analysis" as well as links to the Amazon website to directly purchase these books. As an Amazon Associate, we earn from qualifying purchases, but this does not impact our reviews, comparisons, and listing of these top books; the table serves as a ready reckoner list of these best books.

1. “Engineering Mathematics Vol. II” by Kandasamy P and Gunavathy K

“Engineering Mathematics Vol. II” Book Review: This book is written for students in later semesters of their engineering and have completed volume one of the book. Several important concepts like velocity, continuous and differentiable functions, concrete optimization problems, mean value theorem for integrals and many more are added in the subsequent chapters of the book. Plethora of solved examples as well as exercises are included in every chapter of the book.

2. “Higher Engineering Mathematics” by Grewal B S

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“Higher Engineering Mathematics” Book Review: This book is an outcome of many years of research of the author. Complex Analysis with vector algebra is provided with enough solved as well as unsolved examples. Exercises are also provided at the end of each chapter. This book is for the students preparing for the GATE examination. Also students pursuing undergraduate studies in the subject can benefit from the book.

3. “Advanced Engineering Mathematics” by Kreyzig E

“Advanced Engineering Mathematics” Book Review: This book provides enough coverage, up to point mathematics solutions as well as sufficient exercises for the readers to gain maximum knowledge after the completion of the book. Provided in the book is WileyPLUS which is a powerful online teaching and learning environment that provides the entire digital textbook with sound resources. Plethora of solved examples are included in every chapter of the book. Students as well as practising engineers can benefit from the book.

4. “Complex Analysis With Vector Calculus” by Cooray T M J A

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“Complex Analysis With Vector Calculus” Book Review: Result of many years of research from the author, this book provides a clear explanation on the topic of Complex Analysis of Vector Calculus. This book is targeted for undergraduate engineering students enrolled in a course of engineering mathematics. Other important chapters contained in the book include algebra and its operations on vector and scalar fields and many more related concepts. A variety of examples and questions have been provided throughout the book to easen the understanding of the reader.

5. “Essential Calculus with Applications (Dover Books on Mathematics)” by Richard A Silverman

“Essential Calculus with Applications (Dover Books on Mathematics)” Book Review: This book explains calculus not only helps in solving mathematical problems but also problems in the diverse fields of physics, biology and economics and many more of them. Written by a noted mathematician, this book provides a wider exposure of Calculus to undergraduate students. Starting from basics, the author described topics like sets, inequalities, absolute value, mathematical induction etc. Moving to a more advanced level, topics like velocity, continuous and differentiable functions, the indefinite integral, local extrema, and concrete optimization problems are covered in the book. Last chapter is completely devoted to differential calculus of functions of several variables.

6. “Frames and Bases: An Introductory Course (Applied and Numerical Harmonic Analysis)” by Ole Christensen

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“Frames and Bases: An Introductory Course (Applied and Numerical Harmonic Analysis)” Book Review: This book is written as an introduction to the concept of Frames and Riesz Bases. It develops frame theory as an interchange of dialogue between mathematicians and engineers. This book contains chapters on applications which will help the readers to understand where frames are used in practice. Engineers can also gain through this book by analysing the mathematical background for applications in the field. It also contains several exercises at the end of each chapter.

7. “An Advanced Complex Analysis Problem Book” by Daniel Alpay

“An Advanced Complex Analysis Problem” Book Review: This book presents the comparisons and relationships between functional analysis and the theory of functions of one variable. Other topics covered in the book are notions of positive definite kernel and kernel Hilhert space. Other advanced topics like functional analysis and topological vector spaces are also covered in the same. Beginner graduate level students can benefit from this book.

8. “Functions of One Complex Variable II (Graduate Texts in Mathematics)” by John B Conway

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“Functions of One Complex Variable II (Graduate Texts in Mathematics)” Book Review: This book addresses a large number of problems on the subject of theory of functions of one complex variable. Several topics like geometric function theory, potential theory in a plane, conformal equivalence for simply connected regions, conformal equivalence for finitely connected regions explained in detail. It also covers topics like analytic covering maps, de Branges’ proof of the Bieberbach conjecture, harmonic functions, Hardy spaces on the disk, potential theory in the plane etc are covered extensively in the book. It is mainly written for graduate students.

9. “Vector Analysis (Undergraduate Texts in Mathematics)” by Klaus Jänich and L Kay

“Vector Analysis (Undergraduate Texts in Mathematics)” Book Review: This Book covers modern vector analysis and describes the classical notion and understanding of the theory of Vector Analysis. It covers all the concepts of classical vector analysis in Euclidean space. It also introduces newer concepts like de Rham Cohomology, Hodge theory, elementary differential geometry, and basic duality in the same. Prerequisite needed to start this book is calculus and linear algebra. Ample amount of illustrations, exercises and tests are also provided in the book.

10. “Multivariable Calculus With Vectors” by Hartley Rogers

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“Multivariable Calculus With Vectors” Book Review: This book is for students studying in the third semester or taking fourth and fifth quarters of the calculus course. Advanced topic of multivariate calculus is covered extensively in the book. Other topics that are covered in the book include modeling physical phenomena, developing geometric intuition etc. A variety of examples and questions have been provided throughout the book to easen the understanding of the reader.

People who are searching for Free downloads of books and free pdf copies of these top 10 books on Vector Calculus and Complex Analysis – we would like to mention that we don’t have free downloadable pdf copies of these good books and one should look for free pdf copies from these Authors only if they have explicitly made it free to download and read them.

We have created a collection of best reference books on "Vector Calculus and Complex Analysis" so that one can readily see the list of top books on "Vector Calculus and Complex Analysis" and buy the books either online or offline.

If any more book needs to be added to the list of best books on Vector Calculus and Complex Analysis subject, please let us know.

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Manish Bhojasia - Founder & CTO at Sanfoundry
Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He is Linux Kernel Developer & SAN Architect and is passionate about competency developments in these areas. He lives in Bangalore and delivers focused training sessions to IT professionals in Linux Kernel, Linux Debugging, Linux Device Drivers, Linux Networking, Linux Storage, Advanced C Programming, SAN Storage Technologies, SCSI Internals & Storage Protocols such as iSCSI & Fiber Channel. Stay connected with him @ LinkedIn | Youtube | Instagram | Facebook | Twitter