brief outline
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These web pages briefly outline the book entitled "Handbook of Mathematics" published in 2015. The reasons for this book are numerous, one is to reconnect with the tradition of handbooks; another is to give the proof of theorems.
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The book consists of 11 Parts and 28 Chapters covering all areas of mathematics.
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It is a tool for readers who have to deal with mathematics, for students, scientists, students of many disciplines, engineers, teachers, professionals, writers and also for a general reader with an interest in mathematics and in science, as well as for beginners.
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It provides a wide range of mathematical concepts, definitions, propositions, theorems, proofs, and numerous illustrations. Difficulty level can vary depending on chapters, and sustained attention will be required for some.
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The list of Parts is quite classical:
I. Foundations of Mathematics, |
II. Algebra, |
III. Number Theory, |
IV. Geometry, |
V. Analytic Geometry, |
VI. Topology, |
VII. Algebraic Topology, |
VIII. Analysis, |
IX. Category Theory, |
X. Probability and Statistics, |
XI. Applied Mathematics, |
Appendices, index. |
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Appendices provide useful lists of symbols and tables for ready reference.
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A vast index consistently lists all the notions described and defined throughout the book.
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The hope of the publisher and of the author is that this book, made in a large format, will serve the needs of readers, their studies, explorations, work, or researches.