Satish Shirali's Books

Measure and Integration

By: Satish Shirali,Harkrishan Lal Vasudeva

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Measure and Integration

By: Satish Shirali,Harkrishan Lal Vasudeva

This textbook provides a thorough introduction to measure and integration theory, fundamental topics of advanced mathematical analysis. Proceeding at a leisurely, student-friendly pace, the authors begin by recalling elementary notions of real analysis before proceeding to measure theory and Lebesgue integration. Further chapters cover Fourier series, differentiation, modes of convergence, and product measures. Noteworthy topics discussed in the text include Lp spaces, the Radon–Nikodým Theorem, signed measures, the Riesz Representation Theorem, and the Tonelli and Fubini Theorems. This textbook, based on extensive teaching experience, is written for senior undergraduate and beginning graduate students in mathematics. With each topic carefully motivated and hints to more than 300 exercises, it is the ideal companion for self-study or use alongside lecture courses.

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Page Count

609

Publisher

Springer Nature

Published Date

ISBN 10

3030187470

ISBN 13

9783030187477

A Concise Introduction to Measure Theory

By: Satish Shirali

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A Concise Introduction to Measure Theory

By: Satish Shirali

This undergraduate textbook offers a self-contained and concise introduction to measure theory and integration. The author takes an approach to integration based on the notion of distribution. This approach relies on deeper properties of the Riemann integral which may not be covered in standard undergraduate courses. It has certain advantages, notably simplifying the extension to "fuzzy" measures, which is one of the many topics covered in the book. This book will be accessible to undergraduate students who have completed a first course in the foundations of analysis. Containing numerous examples as well as fully solved exercises, it is exceptionally well suited for self-study or as a supplement to lecture courses.

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Page Count

274

Publisher

Springer

Published Date

ISBN 10

3030032418

ISBN 13

9783030032418

Multivariable Analysis

By: Satish Shirali,Harkrishan Lal Vasudeva

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Multivariable Analysis

By: Satish Shirali,Harkrishan Lal Vasudeva

This book provides a rigorous treatment of multivariable differential and integral calculus. Implicit function theorem and the inverse function theorem based on total derivatives is explained along with the results and the connection to solving systems of equations. There is an extensive treatment of extrema, including constrained extrema and Lagrange multipliers, covering both first order necessary conditions and second order sufficient conditions. The material on Riemann integration in n dimensions, being delicate by its very nature, is discussed in detail. Differential forms and the general Stokes' Theorem are expounded in the last chapter. With a focus on clarity rather than brevity, this text gives clear motivation, definitions and examples with transparent proofs. Much of the material included is published for the first time in textbook form, for example Schwarz' Theorem in Chapter 2 and double sequences and sufficient conditions for constrained extrema in Chapter 4. A wide selection of problems, ranging from simple to more challenging, are included with carefully formed solutions. Ideal as a classroom text or a self study resource for students, this book will appeal to higher level undergraduates in Mathematics.

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Page Count

399

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0857291920

ISBN 13

9780857291929

Metric Spaces

By: Satish Shirali,Harkrishan Lal Vasudeva

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Metric Spaces

By: Satish Shirali,Harkrishan Lal Vasudeva

One of the first books to be dedicated specifically to metric spaces Full of worked examples, to get complex ideas across more easily

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Page Count

238

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1852339225

ISBN 13

9781852339227

Effective R.U.L.E.

A Life-Changing Process

By: Satish Shitut

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Effective R.U.L.E.

A Life-Changing Process

By: Satish Shitut

Successful R.U.L.E. to lead an effective life A simple R.U.L.E. can change your life for the better. Become a programmer of your own life, write the script, act on it and evolve. Breathe love, respect your body, understand the complexities around and evolve an action plan to enjoy every moment of life and grow. The book deals with the realities of life, certain myths and facts and shares the simple process of R.U.L.E. to make things happen in life and succeed. There is more in our lives and within us which we fail to explore, thus we fall prey to circumstances and/or situations and make a mess of our lives. The process of R.U.L.E. is meant to make your inner self strong enough, based on four fundamental principles and guide you to enjoy this process, to lead a balanced and an effective life. The brief eventful and rich life story of Sushila Tai Kashikar shared in the book itself should be more than enough for you to inculcate the time tested, eternally professed and practiced way of life to rise above all challenges in life and evolve to rule the hearts, minds and souls alike and enjoy the beautiful journey of your life.

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Page Count

160

Publisher

Notion Press

Published Date

ISBN 10

1636337260

ISBN 13

9781636337265

Textbook of Echocardiography

By: V Amuthan,Satish K Parashar

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Textbook of Echocardiography

By: V Amuthan,Satish K Parashar

An echocardiogram uses sound waves to produce images of the heart. This common test allows a doctor to see the heart beating and pumping blood, and subsequently identify heart disease. This book is a complete guide to performing and interpreting an echocardiogram. 56 chapters describe both basic and advanced techniques for diagnosing different heart disorders. The second edition has been fully revised to provide clinicians with the latest developments and techniques in the field. Seven new chapters have been added to this edition covering echocardiography and artificial intelligence, hypertension, arrhythmogenic right ventricular dysplasia, Kawasaki disease, cardio-oncology, diabetes mellitus, and foetal echo. Dedicated chapters emphasise the role of echo in surgical procedures, and explore its use with electrophysiology – in patients with pacemakers and those undergoing cardiac resynchronisation therapy. The book is highly illustrated with many 2D and 3D echo images helping explain the descriptive text for each topic. The previous edition (9789352700929) published in 2017.

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Page Count

935

Publisher

Jaypee Brothers Medical Publishers

Published Date

ISBN 10

9354651534

ISBN 13

9789354651533

Measure and Integration

By: Satish Shirali,Harkrishan Lal Vasudeva

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Measure and Integration

By: Satish Shirali,Harkrishan Lal Vasudeva

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Solve jigsaw puzzle

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Page Count

609

Publisher

Springer Nature

Published Date

ISBN 10

3030187470

ISBN 13

9783030187477

A Concise Introduction to Measure Theory

By: Satish Shirali

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A Concise Introduction to Measure Theory

By: Satish Shirali

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Solve jigsaw puzzle

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Page Count

274

Publisher

Springer

Published Date

ISBN 10

3030032418

ISBN 13

9783030032418

Book's by Satish Shirali

Measure and Integration

Measure and Integration

A Concise Introduction to Measure Theory

A Concise Introduction to Measure Theory

Multivariable Analysis

Multivariable Analysis

Metric Spaces

Metric Spaces

Effective R.U.L.E.

Effective R.U.L.E.

Textbook of Echocardiography

Textbook of Echocardiography

Measure and Integration

Measure and Integration

A Concise Introduction to Measure Theory

A Concise Introduction to Measure Theory

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