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1 Papachristou, Costas J Elements of Mathematical Analysis I12935 2024 eBook  
2 Papachristou, Costas J Elements of Mathematical Analysis   2024 Book  
3 Papachristou, Costas J Introduction to Mechanics of Particles and Systems I09520 2020 eBook  
4 Papachristou, Costas J Aspects of Integrability of Differential Systems and Fields I09485 2019 eBook  
(page:1 / 1) [#4]     

1.    
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TitleElements of Mathematical Analysis : An Informal Introduction for Physics and Engineering Students
Author(s)Papachristou, Costas J
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2024.
DescriptionIX, 126 p. 24 illus : online resource
Abstract NoteThis book provides a comprehensive yet informal introduction to differentiating and integrating real functions with one variable. It also covers basic first-order differential equations and introduces higher-dimensional differentiation and integration. The focus is on significant theoretical proofs, accompanied by illustrative examples for clarity. A comprehensive bibliography aids deeper understanding. The concept of a function's differential is a central theme, relating to the "differential" within integrals. The discussion of indefinite integrals (collections of antiderivatives) precedes definite integrals, naturally connecting the two. The Appendix offers essential math formulas, exercise properties, and an in-depth exploration of continuity and differentiability. Select exercise solutions are provided. This book suits short introductory math courses for novice physics/engineering students. It equips them with vital differentialand integral calculus tools for real-world applications. It is also useful for first-year undergraduates, reinforcing advanced calculus foundations for better Physics comprehension
ISBN,Price9783031458545
Keyword(s)1. Difference and Functional Equations 2. DIFFERENCE EQUATIONS 3. EBOOK 4. EBOOK - SPRINGER 5. ENGINEERING MATHEMATICS 6. FUNCTIONAL EQUATIONS 7. MATHEMATICAL PHYSICS
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I12935     On Shelf    

2.     
No image available
TitleElements of Mathematical Analysis : An Informal Introduction for Physics and Engineering Students
Author(s)Papachristou, Costas J
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2024.
DescriptionIX, 126 p. 24 illus : online resource
Abstract NoteThis book provides a comprehensive yet informal introduction to differentiating and integrating real functions with one variable. It also covers basic first-order differential equations and introduces higher-dimensional differentiation and integration. The focus is on significant theoretical proofs, accompanied by illustrative examples for clarity. A comprehensive bibliography aids deeper understanding. The concept of a function's differential is a central theme, relating to the "differential" within integrals. The discussion of indefinite integrals (collections of antiderivatives) precedes definite integrals, naturally connecting the two. The Appendix offers essential math formulas, exercise properties, and an in-depth exploration of continuity and differentiability. Select exercise solutions are provided. This book suits short introductory math courses for novice physics/engineering students. It equips them with vital differentialand integral calculus tools for real-world applications. It is also useful for first-year undergraduates, reinforcing advanced calculus foundations for better Physics comprehension
ISBN,Price9783031458545
Keyword(s)1. Difference and Functional Equations 2. DIFFERENCE EQUATIONS 3. EBOOK 4. EBOOK - SPRINGER 5. ENGINEERING MATHEMATICS 6. FUNCTIONAL EQUATIONS 7. MATHEMATICAL PHYSICS
Item TypeBook
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3.     
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TitleIntroduction to Mechanics of Particles and Systems
Author(s)Papachristou, Costas J
PublicationCham, Springer International Publishing, 2020.
DescriptionIX, 269 p. 197 illus : online resource
Abstract NoteThis book is based on the author???s lecture notes for his Introductory Newtonian Mechanics course at the Hellenic Naval Academy. In order to familiarize students with the use of several basic mathematical tools, such as vectors, differential operators and differential equations, it first presents the elements of vector analysis that are needed in the subsequent chapters. Further, the Mathematical Supplement at the end of the book offers a brief introduction to the concepts of differential calculus mentioned. The main text is divided into three parts, the first of which presents the mechanics of a single particle from both the kinetic and the dynamical perspectives. The second part then focuses on the mechanics of more complex structures, such as systems of particles, rigid bodies and ideal fluids, while the third part consists of 60 fully solved problems. Though chiefly intended as a primary text for freshman-level physics courses, the book can also be used as a supplemental (tutorial) resource for introductory courses on classical mechanics for physicists and engineers
ISBN,Price9783030542719
Keyword(s)1. Classical and Continuum Physics 2. CLASSICAL MECHANICS 3. Continuum physics 4. EBOOK 5. EBOOK - SPRINGER 6. MECHANICAL ENGINEERING 7. MECHANICS
Item TypeeBook
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Accession#  Call#StatusIssued ToReturn Due On Physical Location
I09520     On Shelf    

4.    
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TitleAspects of Integrability of Differential Systems and Fields : A Mathematical Primer for Physicists
Author(s)Papachristou, Costas J
PublicationCham, Springer International Publishing, 2019.
DescriptionVIII, 94 p. 20 illus : online resource
Abstract NoteThis book serves as an introduction to the concept of integrability as it applies to systems of differential equations as well as to vector-valued fields. The author focuses on specific aspects of integrability that are often encountered in a variety of problems in applied mathematics, physics and engineering. The following general cases of integrability are examined: (a) path-independence of line integrals of vector fields on the plane and in space; (b) integration of a system of ordinary differential equations by using first integrals; and (c) integrable systems of partial differential equations. Special topics include the integration of analytic functions and some elements from the geometric theory of differential systems. Certain more advanced subjects, such as Lax pairs and B??cklund transformations, are also discussed. The book is written at an intermediate level for educational purposes. The presentation is as simple as the topics allow, often sacrificing mathematical rigor in favor of pedagogical efficiency
ISBN,Price9783030350024
Keyword(s)1. DIFFERENTIAL EQUATIONS 2. EBOOK 3. EBOOK - SPRINGER 4. Mathematical Methods in Physics 5. MATHEMATICAL PHYSICS 6. ORDINARY DIFFERENTIAL EQUATIONS 7. PARTIAL DIFFERENTIAL EQUATIONS 8. PHYSICS
Item TypeeBook
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Accession#  Call#StatusIssued ToReturn Due On Physical Location
I09485     On Shelf    

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