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A New Window into Hyperbolic Space Franz Rothe Publishes Volume V of A Course in Old and New Geometry

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United States, 14th May 2025 — Renowned mathematician and emeritus professor Franz Rothe continues his acclaimed exploration of geometric theory with the release of A Course in Old and New Geometry: Volume V – Hyperbolic Geometry, now available on Amazon at https://www.amazon.com/dp/B0DRW6LX19.

This fifth volume in Rothe’s foundational series provides a rigorous and enlightening journey into hyperbolic geometry, one of the most fascinating and non-intuitive branches of mathematics. Carefully structured to blend classical principles with modern insights, this volume brings clarity to a field often reserved for advanced specialists. Through the use of both the Poincaré and Klein disk models, Rothe offers a compelling and accessible approach to hyperbolic constructions using traditional Euclidean tools such as the straightedge and compass.

Returning to Hilbert’s original axioms from his seminal Foundations of Geometry, Rothe reconstructs the logical architecture that underpins non-Euclidean geometry. He offers students and scholars a precise framework for understanding the nature of hyperbolic space through asymptotic rays and ultimately guides the reader toward a reconstruction of the Poincaré disk model using Hilbert’s axiomatic approach. The final section of the book transitions into Gauss’ differential geometry, offering a natural progression toward the concept of the pseudosphere—a surface of constant negative curvature—giving readers a tangible representation of hyperbolic space.

Franz Rothe, whose academic journey began at the University of Tuebingen in Germany, brings decades of scholarly and teaching experience to this work. After receiving his doctorate, he earned his Habilitation and venia legendi from both the University of Tuebingen and the Ludwig Maximilian University of Munich. He is the author of approximately 40 peer-reviewed articles and the influential monograph Global Solutions of Reaction-Diffusion Systems (Lecture Notes in Mathematics 1072), published in 1984.

For nearly three decades, Dr. Rothe inspired undergraduate and graduate students at the University of North Carolina at Charlotte, teaching a wide range of mathematical disciplines including calculus, differential equations, geometry, graph theory, number theory, and abstract algebra. Though retired due to health reasons, Rothe continues his intellectual pursuits as an emeritus professor and author, committed to making complex mathematical theories comprehensible to a broader audience.

Mike Miller of Top Three Solutions, LLC, the publishing and distribution partner for Rothe’s work, emphasizes the significance of this volume: “This is not just a textbook. It’s an invitation to see space and structure from a completely different lens. Whether you’re a student, educator, or mathematical enthusiast, this book gives you the tools to visualize and understand hyperbolic geometry in a hands-on, logical way.”

With its combination of theoretical rigor and practical application, A Course in Old and New Geometry: Volume V serves as an essential resource for university mathematics departments, libraries, and self-motivated learners around the world. Rothe’s work bridges the gap between historical mathematical foundations and contemporary educational approaches, reaffirming the enduring relevance of geometric thinking in the 21st century.

To explore the book and begin your journey into hyperbolic geometry, visit the Amazon listing here: https://www.amazon.com/dp/B0DRW6LX19

For additional information, interview requests, or academic inquiries, please contact:

Mike Miller
Top Three Solutions, LLC
Email: info@topthreesolutions.com

About Top Three Solutions, LLC:
Top Three Solutions, LLC is a U.S.-based publishing and digital solutions company committed to promoting thought leadership and scholarly excellence across academic, technical, and professional domains. With a passion for education and innovation, the company partners with authors, researchers, and educators to bring complex ideas to market through expertly produced digital publications, print editions, and media outreach. Top Three Solutions helps amplify voices that contribute to scientific understanding, educational development, and public enrichment.

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NVFSCTOP Upgrades Trading Experience

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NVFSCTOP upgrades mobile trading with smoother interaction

United States, 25th Aug 2025, Grand Newswire – NVFSCTOP Launches Trading Experience Overhaul with Speed, Precision, and Custom Control

NVFSCTOP has unveiled a major upgrade to its mobile trading platform, redefining how users interact with digital assets on the go. This release prioritizes responsiveness, customization, and clarity—enabling both novice and professional traders to execute faster, smarter decisions in a mobile-first environment.

NVFSCTOP Upgrades Trading Experience

At the core of this update is NVFSCTOP’s real-time trading engine, optimized for sub-second execution across volatile markets. The improved infrastructure allows users to respond to price movements without lag, backed by streamlined order management and updated latency reduction protocols.

Complementing this is a newly designed modular trading interface, giving users the ability to rearrange dashboard components according to their strategy and habits. Whether focused on charts, order books, news alerts, or AI-generated insights, every user can create a workspace that aligns with their unique trading rhythm.

“We’re not just making trading mobile—we’re making it powerful, personal, and professional,” said Daniel Kwan, Director of Mobile Product Experience at Novafms Trading Center. “NVFSCTOP now mirrors the control and depth of desktop platforms, without sacrificing mobility.”

Key Upgrades Include:

Lightning-mode trade execution for high-frequency market conditions

One-click portfolio switch across asset classes and accounts

Smart widget dock with chart overlays, market sentiment meters, and risk indicators

In-app newsflash bar integrating verified market-moving headlines

Gesture-based controls for quick limit order, cancel, and modify actions

To support a wider range of users, NVFSCTOP has also implemented adaptive UX scaling, offering simplified views for beginners while preserving advanced toolsets for seasoned professionals. New users are auto-guided through interface training, while experienced traders can toggle to Pro Mode with multi-layer indicators and multi-asset views.

The app’s backend now supports 24/7 sync across devices, ensuring that trade settings, alerts, and watchlists are updated instantly whether accessed via phone, tablet, or web extension.

About NVFSCTOP
NVFSCTOP is the official mobile application of Novafms Trading Center, designed to deliver secure, intelligent, and customizable digital asset services. From trading execution to portfolio management, NVFSCTOP empowers users globally with institutional-grade features and mobile-first convenience.

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Organization: Novafms

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Jackson Scott

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https://novafms.vip

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Toksomikehouse Highlights the Role of Barn Door Kits in Modern Home Renovation

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United States, 25th Aug 2025, – Toksomikehouse, a home solutions brand specializing in barn doors and hardware systems, is drawing attention to the growing preference for barn door installations in contemporary and heritage home renovations. The approach combines functional space management with a distinct design aesthetic that is increasingly recognized in both urban and rural settings.

Toksomikehouse Highlights the Role of Barn Door Kits in Modern Home Renovation

As housing trends continue to emphasize individuality, compact design, and multipurpose interiors, barn doors are emerging as a practical solution for households seeking both efficiency and style. Unlike conventional hinged doors, barn doors employ a sliding mechanism that allows homeowners to maximize limited square footage while creating flexible partitions for rooms such as studies, kitchens, or wardrobes.

Toksomikehouse’s barn door systems incorporate high-strength materials, including carbon steel hardware, and are developed with durability and safety in mind. The kits include essential fittings such as slide rails, rollers, and handles, designed for smooth and quiet operation. This construction focus ensures that barn doors can serve as long-term functional and decorative elements within residential spaces.

Toksomikehouse Highlights the Role of Barn Door Kits in Modern Home Renovation

The design adaptability of barn doors has also contributed to their growing acceptance. With styles that complement modern, rustic, and industrial interiors, these installations are increasingly utilized by homeowners and interior designers. In practice, barn doors have been applied to a range of housing scenarios, including compact apartments and larger duplexes, offering both practical benefits and visual enhancement.

Toksomikehouse Highlights the Role of Barn Door Kits in Modern Home Renovation

Industry observers note that the popularity of barn doors aligns with broader housing trends such as “small apartment aesthetics” and “light hard furnishings,” which prioritize adaptable design over permanent fixtures. Toksomikehouse continues to develop product ranges that integrate modern design considerations with traditional craftsmanship, reflecting an understanding of evolving household needs.

“Toksomikehouse has consistently emphasized the balance between practicality and aesthetic value,” said Jason, company spokesperson. “Our approach focuses on the details that help shape a home’s overall character.”

Through its product development, the company promotes the idea that simple design choices can contribute significantly to enhancing everyday living spaces.

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https://toksomikehouse.com/

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3224350028@qq.com

Contact Number: 8613143515579

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Toksomikehouse Highlights the Role of Barn Door Kits in Modern Home Renovation
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PoinBK Pro Expands Mobile App with New Multilingual Support

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PoinBK Pro expanded its mobile app with multilingual support, offering localized interfaces and enhanced accessibility to better serve global digital asset traders.

United States, 25th Aug 2025, Grand Newswire – PoinBK Pro Expands Global Accessibility

PoinBK Pro today announced the expansion of its mobile application to include new multilingual capabilities, a move designed to improve accessibility for its rapidly growing international user base. The upgrade reflects the platform’s strategy to create a truly global trading environment where users can interact with digital assets in their preferred language.

PoinBK Pro Expands Mobile App with New Multilingual Support

Localized Experience for Global Traders

The new release of the mobile app now supports additional languages, covering major markets in Asia, Europe, Latin America, and the Middle East. By offering localized interfaces, translated market data, and region-specific terminology, PoinBK Pro ensures that traders can navigate complex financial tools with greater ease and accuracy.

In addition to language settings, the upgrade introduces regionalized push notifications, customer support integration, and educational content tailored to different linguistic communities.

User-Centric Innovation

The multilingual expansion responds to feedback from PoinBK Pro’s global community, where demand for broader language options has increased alongside user adoption. Whether retail traders or institutional clients, users can now benefit from a consistent and accessible experience regardless of their location or native language.

“Accessibility and inclusivity are central to building the next generation of digital asset platforms,” said Maria Lopez, Head of Global Product at PoinBK Pro. “By extending multilingual support across our mobile app, we are creating a more user-friendly environment that allows global traders to participate confidently in the digital economy.”

Compliance and Regional Alignment

Beyond user experience, the multilingual support is integrated with compliance features that adhere to regional regulations. In-app guidance for Anti-Money Laundering (AML) and Know Your Customer (KYC) procedures is now available in multiple languages, ensuring users clearly understand the requirements and standards applied in their jurisdiction.

Future Roadmap

PoinBK Pro confirmed that further expansions are planned, including support for additional regional dialects, AI-assisted translation of market news, and more localized financial education content within the app. These features are designed to reinforce the exchange’s commitment to inclusivity and continuous innovation.

About PoinBK Pro

PoinBK Pro is a global digital asset trading platform delivering secure, transparent, and user-focused services. The exchange provides access to a wide range of cryptocurrencies and financial products, supported by advanced technology and strong compliance standards. With millions of users worldwide, PoinBK Pro continues to enhance its platform through innovation, security, and accessibility.

For additional resources and insights, visit:

https://www.poinbanktech.info

https://www.poinbank.review

https://www.poinbanktech.wiki

https://www.poinbank-overview.com

https://www.poinbank.pro

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Organization: Poinbank

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Ruby Campbell

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https://www.poinbank.com/

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service@poinbank.com

Country:United States

The post PoinBK Pro Expands Mobile App with New Multilingual Support
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