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.
Sodium Fast Reactors with Closed Fuel Cycle delivers a detailed discussion of an important technology that is being harnessed for commercial energy production in many parts of the world. Presenting the state of the art of sodium-cooled fast reactors with closed fuel cycles, this book:Offers in-depth coverage of reactor physics, materials, design, s
Like real analysis, complex analysis has generated methods indispensable to mathematics and its applications. Exploring the interactions between these two branches, this book uses the results of real analysis to lay the foundations of complex analysis and presents a unified structure of mathematical analysis as a whole. To set the groundwork
or BE/BTech /B Arch students for third semester of all engineering Colleges under UPTU This book is primarily written according to the unified syllabus (2009-2010) of Mathematics-III for all Engineering students.
The book in its present form is due to my interaction with the students for quite a long time.It had been my long-cherished desire to write a book covering most of the topics that form the syllabii of the Engineering and Science students at the degree level.Many students,although able to understand the various topics of the books,may not be able to put their knowledge to use.For this purpose a number of questions and problems are given at the end of each chapter.
The book presents an introduction to the geometry of Hilbert spaces and operator theory, targeting graduate and senior undergraduate students of mathematics. Major topics discussed in the book are inner product spaces, linear operators, spectral theory and special classes of operators, and Banach spaces. On vector spaces, the structure of inner product is imposed. After discussing geometry of Hilbert spaces, its applications to diverse branches of mathematics have been studied. Along the way are introduced orthogonal polynomials and their use in Fourier series and approximations. Spectrum of an operator is the key to the understanding of the operator. Properties of the spectrum of different classes of operators, such as normal operators, self-adjoint operators, unitaries, isometries and compact operators have been discussed. A large number of examples of operators, along with their spectrum and its splitting into point spectrum, continuous spectrum, residual spectrum, approximate point spectrum and compression spectrum, have been worked out. Spectral theorems for self-adjoint operators, and normal operators, follow the spectral theorem for compact normal operators. The book also discusses invariant subspaces with special attention to the Volterra operator and unbounded operators. In order to make the text as accessible as possible, motivation for the topics is introduced and a greater amount of explanation than is usually found in standard texts on the subject is provided. The abstract theory in the book is supplemented with concrete examples. It is expected that these features will help the reader get a good grasp of the topics discussed. Hints and solutions to all the problems are collected at the end of the book. Additional features are introduced in the book when it becomes imperative. This spirit is kept alive throughout the book.
For B.E./B.Tech. students of Maharishiu Dayanand University (MDU) and Kurushetra University, Kurushetra and other universities of Haryana. Many topics have been re-arranged and many more examples have been included to make the various articles and examples more lucid and care has been taken to include all the examples that have been set in various university examinations.
The book is present form is due to the outcome of excellent received for the Author's Book "Modern Engineering Physics" which is prescribed in M.D. University, Rohtak and Kurushetra university and other universities of Haryana. In order to make the book more useful and strictly as per the syllabi of Haryana Universities, most of the topics have been revised
For the Students of B.E./B.Tech.of Rajasthan Technical University, Kota (Rajasthan).Many topics have been rearranged and many more examples have been included to make the various articles and examples more lucid and care has been taken to include all the examples that have been set in various university examinations.
Unit 1: Relativity And InterferenceTheory Of RelativityInterference Unit 2: Diffraction And PolarizationDiffractionPolarizationUnit 3: Fields And ElectrostaticsScalar And Vector FieldsElectric Fields And Gauss'S LawMaxwell'S Equations Unit 4: Magnetic Properties Of Materials And X-RaysMagnetic Properties Of MaterialsX-Rays And Compton Effect Unit 5: Quantum Theory And LasersMatter Waves And Uncertainty PrincipleQuantum TheoryLasersModel Test Papers
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.
Althought Concepts of Modern Physics was the first book covering the syllabi of punjab technical university,Jalandhar and it was accepted whole-heartedly by students and teachers alike.However,due to the repeated changes of sullabi of P.T.U. as it being a new university,the book had to be revised and some of the chapters become redundant as these were replaced by new topics.Though the book was revised with the additional chapters,the discarded chapters also formed the part of the book.
This book highlights the technicalities of plant breeding in a seed-business environment and explains the crucial aspects of the value chain. It educates the readers on how to initiate, participate, sustain national and international agreements for material transfer, how consortia work to facilitate germplasm accessibility, and how to set visionary goals to develop a superior plant varieties. The book covers the aspects such as how to conduct disease screening trials at hot spots, preparing an operational budget, and how to accelerate product advancement. Plant breeding is broadly defined as manipulation of plant genotypes to create phenotypes that are beneficial to mankind. It helps to achieve food security and sustainability by developing high yielding, climate-resilient, nutritious varieties of crops and hence is able to address unprecedented challenges like rising global population, diminishing genetic biodiversity, and uncertainties of the weather . This book is an extraordinary source of information starting from goal-genesis to market-oriented product-profiling and help readers to accelerate/enhance? their work/professional performance more effectively. This book will be very useful to practicing plant breeders at various levels in the public and private sectors. It is a must-have book for potential plant breeders who enter plant breeding profession just after the completion of their formal plant breeding education.
For BE/BTech /B Arch students for third semester of all engineering Colleges under UPTU. This book is primarily written according to the unified syllabus (2009-2010) of Mathematics-III for all Engineering students.
This will help us customize your experience to showcase the most relevant content to your age group
Please select from below
Login
Not registered?
Sign up
Already registered?
Success – Your message will goes here
We'd love to hear from you!
Thank you for visiting our website. Would you like to provide feedback on how we could improve your experience?
This site does not use any third party cookies with one exception — it uses cookies from Google to deliver its services and to analyze traffic.Learn More.