Balmohan Limaye's Books

Spectral Computations for Bounded Operators

By: Mario Ahues,Alain Largillier,Balmohan Limaye

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Spectral Computations for Bounded Operators

By: Mario Ahues,Alain Largillier,Balmohan Limaye

Exact eigenvalues, eigenvectors, and principal vectors of operators with infinite dimensional ranges can rarely be found. Therefore, one must approximate such operators by finite rank operators, then solve the original eigenvalue problem approximately. Serving as both an outstanding text for graduate students and as a source of current results for

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Page Count

401

Publisher

CRC Press

Published Date

ISBN 10

1420035827

ISBN 13

9781420035827

Functional Analysis

By: Balmohan Vishnu Limaye

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Functional Analysis

By: Balmohan Vishnu Limaye

This Book Is An Introductory Text Written With Minimal Prerequisites. The Plan Is To Impose A Distance Structure On A Linear Space, Exploit It Fully And Then Introduce Additional Features Only When One Cannot Get Any Further Without Them. The Book Naturally Falls Into Two Parts And Each Of Them Is Developed Independently Of The Other The First Part Deals With Normed Spaces, Their Completeness And Continuous Linear Maps On Them, Including The Theory Of Compact Operators. The Much Shorter Second Part Treats Hilbert Spaces And Leads Upto The Spectral Theorem For Compact Self-Adjoint Operators. Four Appendices Point Out Areas Of Further Development.Emphasis Is On Giving A Number Of Examples To Illustrate Abstract Concepts And On Citing Varirous Applications Of Results Proved In The Text. In Addition To Proving Existence And Uniqueness Of A Solution, Its Apprroximate Construction Is Indicated. Problems Of Varying Degrees Of Difficulty Are Given At The End Of Each Section. Their Statements Contain The Answers As Well.

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Page Count

630

Publisher

New Age International

Published Date

ISBN 10

8122408494

ISBN 13

9788122408492

A Course in Multivariable Calculus and Analysis

By: Sudhir R. Ghorpade,Balmohan V. Limaye

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A Course in Multivariable Calculus and Analysis

By: Sudhir R. Ghorpade,Balmohan V. Limaye

This self-contained textbook gives a thorough exposition of multivariable calculus. The emphasis is on correlating general concepts and results of multivariable calculus with their counterparts in one-variable calculus. Further, the book includes genuine analogues of basic results in one-variable calculus, such as the mean value theorem and the fundamental theorem of calculus. This book is distinguished from others on the subject: it examines topics not typically covered, such as monotonicity, bimonotonicity, and convexity, together with their relation to partial differentiation, cubature rules for approximate evaluation of double integrals, and conditional as well as unconditional convergence of double series and improper double integrals. Each chapter contains detailed proofs of relevant results, along with numerous examples and a wide collection of exercises of varying degrees of difficulty, making the book useful to undergraduate and graduate students alike.

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Page Count

495

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1441916210

ISBN 13

9781441916211

A Course in Calculus and Real Analysis

By: Sudhir R. Ghorpade,Balmohan V. Limaye

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A Course in Calculus and Real Analysis

By: Sudhir R. Ghorpade,Balmohan V. Limaye

This book provides a self-contained and rigorous introduction to calculus of functions of one variable, in a presentation which emphasizes the structural development of calculus. Throughout, the authors highlight the fact that calculus provides a firm foundation to concepts and results that are generally encountered in high school and accepted on faith; for example, the classical result that the ratio of circumference to diameter is the same for all circles. A number of topics are treated here in considerable detail that may be inadequately covered in calculus courses and glossed over in real analysis courses.

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