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An online degree is an academic degree (usually a college degree, but sometimes the term includes high school diplomas and non-degree certificate programs) that can be earned primarily or entirely through the use of an Internet-connected computer, rather than attending college in a traditional campus setting. Improvements in technology, the increasing use of the Internet worldwide, and the need for people to have flexible school schedules while they are working have led to a proliferation of online colleges that award associate, bachelor's, master's, and doctoral degrees.learn more through this book.
The perception of the quality of online degrees compared to on-campus degrees varies. While most major online colleges are regionally accredited, the public estimation of their quality is in dispute. . You will also find the advantages as well as the disadvantages of online learning. We will take you through the process of getting enrolled and getting your life started.
Primarily, I would thank God for being able to complete this book with success. Then I would like to express my special thanks of gratitude to my first school (Pt. Deendayal Inter college, Hamirpur (U.P),and B.N.S.D Shiksha Niketan Inter College,Kanpur,Uttar Pradesh. I also convey my sincere thanks to my teachers specially, Mr. A.K. Dixit who taught me English Grammar in Such a wonderful way due to which I could be able to complete this book. Secondly, I would like to thank my parents who help me a lot at all time. Every Suggestion regarding the improvement of this book will be warmly acknowledged with thanks
rii application of linear operators on a Hilbert space. We begin with a chapter on the geometry of Hilbert space and then proceed to the spectral theory of compact self adjoint operators; operational calculus is next presented as a nat ural outgrowth of the spectral theory. The second part of the text concentrates on Banach spaces and linear operators acting on these spaces. It includes, for example, the three 'basic principles of linear analysis and the Riesz Fredholm theory of compact operators. Both parts contain plenty of applications. All chapters deal exclusively with linear problems, except for the last chapter which is an introduction to the theory of nonlinear operators. In addition to the standard topics in functional anal ysis, we have presented relatively recent results which appear, for example, in Chapter VII. In general, in writ ing this book, the authors were strongly influenced by re cent developments in operator theory which affected the choice of topics, proofs and exercises. One of the main features of this book is the large number of new exercises chosen to expand the reader's com prehension of the material, and to train him or her in the use of it. In the beginning portion of the book we offer a large selection of computational exercises; later, the proportion of exercises dealing with theoretical questions increases. We have, however, omitted exercises after Chap ters V, VII and XII due to the specialized nature of the subject matter.
In this broad introduction to topology, the author searches for topological invariants of spaces, together with techniques for their calculating. Students with knowledge of real analysis, elementary group theory, and linear algebra will quickly become familiar with a wide variety of techniques and applications involving point-set, geometric, and algebraic topology. Over 139 illustrations and more than 350 problems of various difficulties help students gain a thorough understanding of the subject.
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The present volume comprises aspects of both basic and applied limnology. They include works on physical, chemical, and biological limnology, as well as experimental approaches in selected areas. Contributions from investigators regarding aquatic conservation and biodiversity were specifically not available and therefore, these aspects are considered in various included works. Most manuscripts deal with lentic aquatic resources. This is not surprising since Mexican limnology followed the general study trend of that from temperate limnology. Despite this, we must emphasize that lotic resources in Mexico are quite important both locally and regionally. This does not mean that rivers are not under limnological research in Mexico, just that their study has only recently begun. It is the intention of the volume to stimulate a larger section of limnologists to further research in this field. It is to be hoped that policy-framing governmental authorities in Mexico will benefit from it, and consider some of the aspects described so that further damage to the epicontinental waterbodies can be halted, and remedial measures can be considered in the future.
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