Mathematics eBooks

Marta Bunge, Felipe Gago, Ana María San Luis, "Synthetic Differential Topology (draft)"
Nonlinear Transformations of Random Processes by Ralph Deutsch
Logic: The Theory of Formal Inference by Alice Ambrose
Heritage and Archaeology in the DigitalAge: Acquisition, Curation, and Dissemination of Spatial Cultural Heritage Data By Matthew L. Vincent
Dietlinde Lau - Algebra und Diskrete Mathematik 1: Grundbegriffe der Mathematik, Algebraische Strukturen 1, Lineare Algebra und Analytische Geometrie, Numerische Algebra

Marta Bunge, Felipe Gago, Ana María San Luis, "Synthetic Differential Topology (draft)"
2017 | ISBN-10: 1108447236 | 206 pages | PDF | 1,4 MB
Snowflakes, a series of eight readers for students of classes 1 to 8, is meant primarily to inculcate in children a love for reading as well as appropriate reading skills. Just as each individual snowflake is unique, the content of the series is unique in terms of its literary linguistic and pedagogical merit. The selections include a wide range of stories, poems, prose pieces, plays and excerpts which have been collated from both classic and contemporary sources. Care has been to taken to ensure that they expose students to diverse genres and socio-cultural contexts.

Nonlinear Transformations of Random Processes by Ralph Deutsch
English | November 8th, 2017 | ASIN: B077913PVY, ISBN: 0486818071, 1258437678 | 176 Pages | EPUB | 21.00 MB
This concise treatment of nonlinear noise techniques encountered in system applications is suitable for advanced undergraduates and graduate students. The book is also a valuable reference for systems analysts and communication engineers, as it discusses the basic mathematical theories of nonlinear transformations applied to random processes encountered in communications and control systems.
Prerequisites include a familiarity with statistics, probability, complex variables, and Fourier and Laplace transforms.
The first five chapters present specific classes of nonlinear devices and random processes that in combination lead to closed form solutions for the statistical properties of the transformed process. Subsequent chapters address techniques based on the use of series representations, general systematic approaches to the subject of nonlinear transformations of random processes, and sampling and quantizing a random process. A helpful Appendix features notes on hypergeometric functions.

Logic: The Theory of Formal Inference by Alice Ambrose
English | 2015 | ISBN: 0486808599 | 59 Pages | EPUB | 8.39 MB
Geared toward college undergraduates new to the subject, this concise introduction to formal logic was written by Alice Ambrose and Morris Lazerowitz, a pair of noted scholars and prolific authors in this field. A preliminary section opens the subject under the heading of truth-functions. Two subsequent parts on quantification and classes, each subdivided into numerous brief specifics, complete the overview.
Suitable for students of philosophy as well as mathematics, the three-part treatment begins with the intuitive development of the standard theory of sentential connectives (called "operators"). The theory is further developed with the assistance of truth-tables and ultimately as a logistic system. Part II explores first-order quantification theory. In addition to examining most of the familiar laws that can be expressed by monadic formulas, the text addresses polyadic principles and the theories of identity and descriptions. Part III focuses on elementary concepts of classes, from class membership and class inclusion to the algebra of classes. Each part concludes with a series of exercises.

Heritage and Archaeology in the DigitalAge: Acquisition, Curation, and Dissemination of Spatial Cultural Heritage Data By Matthew L. Vincent
English | PDF,EPUB | 2017 | 209 Pages | ISBN : 3319653695 | 25.63 MB
This book examines how computer-based programs can be used to acquire ‘big’ digital cultural heritage data, curate, and disseminate it over the Internet and in 3D visualization platforms with the ultimate goal of creating long-lasting “digital heritage repositories.’ The organization of the book reflects the essence of new technologies applied to cultural heritage and archaeology.
Each of these stages bring their own challenges and considerations that need to be dealt with. The authors in each section present case studies and overviews of how each of these aspects might be dealt with. While technology is rapidly changing, the principles laid out in these chapters should serve as a guide for many years to come. The influence of the digital world on archaeology and cultural heritage will continue to shape these disciplines as advances in these technologies facilitate new lines of research.
serif">The book is divided into three sections covering acquisition, curation, and dissemination (the major life cycles of cultural heritage data). Acquisition is one of the fundamental challenges for practitioners in heritage and archaeology, and the chapters in this section provide a template that highlights the principles for present and future work that will provide sustainable models for digital documentation. Following acquisition, the next section highlights how equally important curation is as the future of digital documentation depends on it. Preservation of digital data requires preservation that can guarantee a future for generations to come. The final section focuses on dissemination as it is what pushes the data beyond the shelves of storage and allows the public to experience the past through these new technologies, but also opens new lines of investigation by giving access to these data to researchers around the globe. Digital technology promises significant changes in how we approach social sciences, cultural heritage, and archaeology. However, researchers must consider not only the acquisition and curation, but also the dissemination of these data to their colleagues and the public.
Throughout the book, many of the authors have highlighted the usefulness of Structure from Motion (SfM) work for cultural heritage documentation; others the utility and excitement of crowdsourcing as a ‘citizen scientist’ tool to engage not only trained students and researchers, but also the public in the cyber-archaeology endeavor. Both innovative tools facilitate the curation of digital cultural heritage and its dissemination. Together with all the chapters in this volume, the authors will help archaeologists, researchers interested in the digital humanities and scholars who focus on digital cultural heritage to assess where the field is and where it is going.

Dietlinde Lau - Algebra und Diskrete Mathematik 1: Grundbegriffe der Mathematik, Algebraische Strukturen 1, Lineare Algebra und Analytische Geometrie, Numerische Algebra
Published: 2004-03-08 | ISBN: 3540203974 | PDF | 478 pages | 2.67 MB
Algebra und Diskrete Mathematik gehren zu den wichtigsten mathematischen Grundlagen der Informatik. Dieses zweibndige Lehrbuch fhrt umfassend und lebendig in den Themenkomplex ein. Dabei ermglichen ein klares Herausarbeiten von Lsungsalgorithmen, viele Beispiele, ausfhrliche Beweise und eine deutliche optische Unterscheidung des Kernstoffs von weiterfhrenden Informationen einen raschen Zugang zum Stoff. Die umfangreiche Sammlung von bungsaufgaben erleichtert nicht nur eine aktive Erarbeitung des Inhalts, sondern zeigt auch die unterschiedlichsten Anwendungsmglichkeiten auf.
Zum Inhalt: Einfhrung in die Grundbegriffe der Mathematik und Vorstellung der wichtigsten Beweismethoden; Lineare Algebra und analytische Geometrie; Einfhrung in die Numerische Algebra